Gr10 Math Lit: November test hard P(2)

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Questions and Answers

What is the equivalent of 2500 millimetres in centimetres?

  • 25 cm
  • 25.0 cm (correct)
  • 250 cm
  • 2500 cm

A car travels 432 kilometers. How many meters does it travel?

  • 43,200 m
  • 4,320,000 m (correct)
  • 43,200,000 m
  • 432,000 m

What is the equivalent of 3.5 kilograms in grams?

  • 350,000 g
  • 3,500 g (correct)
  • 35,000 g
  • 3500 g

A bottle of juice has a volume of 2.5 liters. What is the equivalent volume in milliliters?

<p>2500 ml (C)</p> Signup and view all the answers

What is the equivalent of 750 centimeters in meters?

<p>7.5 m (C)</p> Signup and view all the answers

A book weighs 1.2 kilograms. What is the equivalent weight in grams?

<p>1200 g (C)</p> Signup and view all the answers

A swimming pool has a volume of 2500 liters. What is the equivalent volume in kiloliters?

<p>2.5 kl (A)</p> Signup and view all the answers

What is the equivalent of 945 milligrams in grams?

<p>0.945 g (B)</p> Signup and view all the answers

What is the weight in kilograms of an object that weighs 3500 grams?

<p>3.5 kg (A)</p> Signup and view all the answers

What is the volume in milliliters of a container that holds 2 cups?

<p>500 ml (D)</p> Signup and view all the answers

What is the cost of a piece of fabric that is 5 meters long and costs $15 per meter?

<p>$75 (A), $75 (B)</p> Signup and view all the answers

What is the weight in milligrams of an object that weighs 2 kilograms?

<p>2,000,000 mg (C)</p> Signup and view all the answers

What is the volume in teaspoons of a container that holds 30 milliliters?

<p>6 tsp (A)</p> Signup and view all the answers

What is the cost of a bag of flour that weighs 2 kilograms and costs $5 per kilogram?

<p>$10 (B)</p> Signup and view all the answers

What is the length in centimeters of a piece of wood that is 2 meters long?

<p>2000 cm (B)</p> Signup and view all the answers

What is the volume in liters of a container that holds 2500 milliliters?

<p>2.5 L (B)</p> Signup and view all the answers

What is the cost of a bottle of water that is 1 liter in volume and costs $2 per liter?

<p>$2 (D)</p> Signup and view all the answers

What is the weight in grams of an object that weighs 0.5 kilograms?

<p>500 g (B)</p> Signup and view all the answers

What is the temperature at which water boils at sea level?

<p>100°C (A)</p> Signup and view all the answers

Which of the following shapes has all adjacent sides at right angles (90°) to each other?

<p>Rectangle (C), Square (D)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a circle?

<p>P = π × diameter (C)</p> Signup and view all the answers

What is the unit of measurement for the area of a shape?

<p>mm² (B)</p> Signup and view all the answers

What is the definition of a perpendicular line?

<p>A line that lies at an angle of 90° to a given line (B)</p> Signup and view all the answers

What is the scale of a map if 1 cm on the map equals 500 cm in real life?

<p>1:500 (A)</p> Signup and view all the answers

How do you estimate the area of a shape without using a formula?

<p>By placing a square grid over the area and counting the number of squares (B)</p> Signup and view all the answers

What is the formula to calculate the area of a triangle?

<p>A = 1/2 × base × height (A)</p> Signup and view all the answers

What is the definition of the diameter of a circle?

<p>The length from one edge of the circle to the other, passing through the centre (D)</p> Signup and view all the answers

How do you use a bar scale to measure distance on a map?

<p>By counting the number of segments that fit the measured distance and multiplying by the segment's real distance (D)</p> Signup and view all the answers

What is the primary purpose of using scales in maps?

<p>To estimate the real dimensions of objects (C)</p> Signup and view all the answers

What is the formula to calculate the real distance using a number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor (D)</p> Signup and view all the answers

What is the advantage of using a bar scale over a number scale?

<p>It remains accurate when the map is resized (D)</p> Signup and view all the answers

What is the formula to calculate the scaled measurement when drawing a scaled map from real dimensions?

<p>Scaled Measurement = Actual Measurement ÷ Scale Factor (D)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

<p>It becomes inaccurate when the map is resized (C)</p> Signup and view all the answers

What is the purpose of a bar scale in a map?

<p>To provide a visual representation of distances (D)</p> Signup and view all the answers

What is the advantage of using a number scale over a bar scale?

<p>It is simpler to use (D)</p> Signup and view all the answers

What is the formula to calculate the real distance using a bar scale?

<p>Real Distance = (Measured Distance on Map ÷ Length of One Segment) × Distance Represented by One Segment (C)</p> Signup and view all the answers

What is the definition of the scale of a map?

<p>A ratio representing the distance on the map to the actual distance in real life (A)</p> Signup and view all the answers

What is the purpose of understanding and using scales in maps?

<p>To accurately interpret and navigate maps and plans (D)</p> Signup and view all the answers

What is the purpose of a scale on a map?

<p>To represent the relationship between the map's dimensions and the real-life dimensions (A)</p> Signup and view all the answers

What is the main difference between a seating plan and a floor plan?

<p>A seating plan shows the location of seats, while a floor plan shows the layout of a building or room (A)</p> Signup and view all the answers

What is the formula for converting measurements on a scale?

<p>Measurement on Plan = Real-life Measurement ÷ Scale Factor (A)</p> Signup and view all the answers

What is the purpose of using symbols in floor plans?

<p>To provide a key for understanding the plan (B)</p> Signup and view all the answers

How do you calculate the volume of a box?

<p>Volume = Length × Width × Height (C)</p> Signup and view all the answers

What is the probability of an impossible event?

<p>0 (A)</p> Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a plan?

<p>To understand the arrangement of furniture and fixtures, and the overall functionality of the space (C)</p> Signup and view all the answers

How do you calculate the area of the bottom of a box?

<p>Area = Length × Width (A)</p> Signup and view all the answers

What is the purpose of using a probability scale?

<p>To describe the likelihood of an event occurring (B)</p> Signup and view all the answers

What is the main difference between a probability expression and a probability representation?

<p>A probability expression is a number, while a probability representation is a graph or diagram (A)</p> Signup and view all the answers

What is the probability of an event if it has 3 favourable outcomes out of 12 possible outcomes?

<p>3/12 (C)</p> Signup and view all the answers

A fair game has an equal chance of winning or losing. What is the probability of winning in a fair game?

<p>1/2 (B)</p> Signup and view all the answers

What is the complement of an event E with a probability of 2/3?

<p>1/3 (A)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations?

<p>To think about a problem before working it out and to check answers for accuracy (C)</p> Signup and view all the answers

What is the purpose of a tree diagram in probability?

<p>To show all possible outcomes of an event (D)</p> Signup and view all the answers

What is the relative frequency of an event that occurs 8 times out of 10 trials?

<p>8/10 (D)</p> Signup and view all the answers

What is the function of the 'M+' key on a calculator?

<p>To add a number to the memory (A)</p> Signup and view all the answers

What is the purpose of a two-way table in probability?

<p>To show all possible outcomes of two events (A)</p> Signup and view all the answers

What is the correct order of operations when performing calculations?

<p>Brackets, Orders, Division and Multiplication, Addition and Subtraction (A)</p> Signup and view all the answers

What is the result of adding a number and its opposite?

<p>Zero (B)</p> Signup and view all the answers

What is the probability of rain if it has rained on 80 out of 100 days with similar weather conditions?

<p>80% (B)</p> Signup and view all the answers

What is the purpose of breaking down and multiplying when performing calculations?

<p>To make calculations simpler (C)</p> Signup and view all the answers

What is the purpose of a convention in number formats?

<p>To provide a standard way of doing something (D)</p> Signup and view all the answers

What is the definition of a proper fraction?

<p>A fraction where the numerator is smaller than the denominator (C)</p> Signup and view all the answers

What is the purpose of a place value table in number formats?

<p>To identify the value of each digit (B)</p> Signup and view all the answers

What is the format of writing numbers in South Africa?

<p>Decimal comma (C)</p> Signup and view all the answers

What is the result of multiplying a number by 100?

<p>The number is shifted two places to the left (A)</p> Signup and view all the answers

What is the definition of a mixed number?

<p>A combination of a whole number and a fraction (D)</p> Signup and view all the answers

What is the purpose of using a place value table when ordering numbers?

<p>To compare digits starting from the leftmost column (B)</p> Signup and view all the answers

What is the convention for writing whole numbers in words?

<p>Separate numbers into groups of three digits starting from the right (C)</p> Signup and view all the answers

What does the variable 'c' represent in the rewritten formula 'c = 2 + 4b'?

<p>The total cost of the items (A)</p> Signup and view all the answers

What is the formula used to describe an inverse proportion relationship?

<p>y = k/x (C)</p> Signup and view all the answers

What is the purpose of plotting points on a graph?

<p>To recognize a linear relationship between variables (B)</p> Signup and view all the answers

What is the term for the value of the nth term in a sequence?

<p>a_n (A)</p> Signup and view all the answers

What is the formula used to describe a linear relationship?

<p>y = mx + c (C)</p> Signup and view all the answers

What is the best way to compare the size of two large numbers?

<p>Use a place value table to compare the numbers (A)</p> Signup and view all the answers

What is the correct order of operations when evaluating an expression with brackets, division, and addition?

<p>Brackets, division, addition (A)</p> Signup and view all the answers

What is the result of multiplying 23 by 10, 100, and 1000?

<p>230, 23000, 230000 (B)</p> Signup and view all the answers

What is the definition of a proper fraction?

<p>A fraction where the numerator is less than the denominator (A)</p> Signup and view all the answers

What is the result of converting the decimal fraction 0.4 to a common fraction?

<p>4/10 (B)</p> Signup and view all the answers

What is the definition of a ratio?

<p>A comparison of two numbers with the same unit (C)</p> Signup and view all the answers

What is the result of calculating 25% of 120?

<p>24 (B)</p> Signup and view all the answers

What is the definition of a negative number?

<p>A number less than zero (C)</p> Signup and view all the answers

What is the rule for rounding a number to the nearest ten?

<p>Numbers with units digits 1-4 round down, 5-9 round up (B)</p> Signup and view all the answers

What is the definition of a graph?

<p>A picture that displays relationships between two variables (C)</p> Signup and view all the answers

What is the main difference between a discrete graph and a continuous graph?

<p>Discrete graphs represent whole numbers, while continuous graphs represent measurements that can take any value within a range (C)</p> Signup and view all the answers

What is the purpose of the vertical axis (y-axis) in a graph?

<p>To indicate the starting value of the dependent variable (B)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (B)</p> Signup and view all the answers

What is the purpose of identifying patterns in a graph?

<p>To develop a rule or formula to describe the pattern (A)</p> Signup and view all the answers

What does the steepness of a graph indicate?

<p>The rate of change (B)</p> Signup and view all the answers

What is the formula for an inverse proportion?

<p>y = k/x (C)</p> Signup and view all the answers

What does it indicate when a graph touches the horizontal axis (x-axis)?

<p>The dependent variable has reached zero (B)</p> Signup and view all the answers

What is the purpose of the horizontal axis (x-axis) in a graph?

<p>To show the independent variable (D)</p> Signup and view all the answers

What is the main difference between an increasing graph and a decreasing graph?

<p>An increasing graph has a positive slope, while a decreasing graph has a negative slope (B)</p> Signup and view all the answers

What is the purpose of interpreting graphs in Mathematical Literacy?

<p>To analyze stories and make sense of the data (A)</p> Signup and view all the answers

What is the formula to convert kilometers to meters?

<p>$$ ext{Length in m} = ext{Length in km} imes 1000 $$ (A)</p> Signup and view all the answers

A container has a volume of 0.5 liters. What is the equivalent volume in milliliters?

<p>500 ml (A)</p> Signup and view all the answers

What is the formula to convert milliliters to liters?

<p>$$ ext{Volume in l} = ext{Volume in ml} \div 1000 $$ (C)</p> Signup and view all the answers

A box has a length of 500 centimeters. What is the equivalent length in meters?

<p>0.5 m (B)</p> Signup and view all the answers

What is the formula to convert milligrams to grams?

<p>$$ ext{Weight in g} = ext{Weight in mg} \div 1000 $$ (C)</p> Signup and view all the answers

A cylinder has a volume of 2 kiloliters. What is the equivalent volume in liters?

<p>2,000 l (D)</p> Signup and view all the answers

What is the formula to convert meters to kilometers?

<p>$$ ext{Length in km} = ext{Length in m} \div 1000 $$ (B)</p> Signup and view all the answers

What is the perimeter of a rectangle with a length of 6 cm and a width of 4 cm?

<p>16 cm (D)</p> Signup and view all the answers

What is the circumference of a circle with a diameter of 14 cm?

<p>44 cm (B)</p> Signup and view all the answers

A container has a volume of 3 liters. What is the equivalent volume in milliliters?

<p>3,000 ml (A)</p> Signup and view all the answers

A map has a scale of 1:500. If the measured distance on the map is 5 cm, what is the real distance in meters?

<p>25 m (B)</p> Signup and view all the answers

What is the area of a triangle with a base of 5 cm and a height of 6 cm?

<p>15 cm² (A)</p> Signup and view all the answers

What is the perimeter of a square with a side length of 8 cm?

<p>32 cm (C)</p> Signup and view all the answers

A rectangular shape has a length of 8 cm and a width of 6 cm. What is the area of the shape?

<p>48 cm² (D)</p> Signup and view all the answers

What is the diameter of a circle with a radius of 7 cm?

<p>16 cm (C)</p> Signup and view all the answers

A map has a scale of 1:200. If the real distance is 400 m, what is the measured distance on the map?

<p>2 cm (A)</p> Signup and view all the answers

What is the area of a circle with a radius of 5 cm?

<p>75 cm² (B)</p> Signup and view all the answers

A shape has a perimeter of 24 cm and a side length of 6 cm. What is the shape?

<p>Square (C)</p> Signup and view all the answers

What is the equivalent of 3750 milligrams in kilograms?

<p>0.00375 kg (B)</p> Signup and view all the answers

A recipe calls for 2 cups of flour. How many milliliters is this equivalent to?

<p>250 ml (D)</p> Signup and view all the answers

A person weighs 65 kilograms. What is their weight in tonnes?

<p>0.065 t (D)</p> Signup and view all the answers

A container has a volume of 1.5 liters. What is the equivalent volume in milliliters?

<p>1500 ml (A)</p> Signup and view all the answers

What is the equivalent of 2500 grams in kilograms?

<p>2.5 kg (A)</p> Signup and view all the answers

A bottle of juice has a volume of 750 milliliters. What is the equivalent volume in cups?

<p>1.5 cups (D)</p> Signup and view all the answers

What is the equivalent of 1.2 kilograms in tonnes?

<p>0.0012 t (C)</p> Signup and view all the answers

A recipe calls for 3 tablespoons of oil. What is the equivalent volume in milliliters?

<p>45 ml (C)</p> Signup and view all the answers

What is the equivalent of 5000 grams in kilograms?

<p>5 kg (A)</p> Signup and view all the answers

A swimming pool has a volume of 5000 liters. What is the equivalent volume in kiloliters?

<p>5 kL (D)</p> Signup and view all the answers

What is the primary advantage of using a bar scale over a number scale in a map?

<p>It remains accurate when the map is resized. (C)</p> Signup and view all the answers

What is the purpose of using scales in maps?

<p>To provide a ratio of the distance on the map to the actual distance in real life. (D)</p> Signup and view all the answers

What is the formula to calculate the real distance using a number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor (C)</p> Signup and view all the answers

What is the disadvantage of using a number scale in a map?

<p>It becomes inaccurate when the map is resized. (A)</p> Signup and view all the answers

What is the formula to calculate the scaled measurement when drawing a scaled map from real dimensions?

<p>Scaled Measurement = Actual Measurement / Scale Factor (D)</p> Signup and view all the answers

What is the purpose of understanding and using scales in maps?

<p>To accurately interpret and navigate maps and plans. (A)</p> Signup and view all the answers

What is the definition of the scale of a map?

<p>A ratio of the distance on the map to the actual distance in real life. (C)</p> Signup and view all the answers

How do you use a bar scale to measure distance on a map?

<p>Measure the length of one segment, then measure the distance on the map, and calculate how many segments fit the measured distance. (B)</p> Signup and view all the answers

What is the primary advantage of using a number scale over a bar scale?

<p>It is simpler to use than a bar scale. (C)</p> Signup and view all the answers

What is the purpose of a scale on a map?

<p>To provide a ratio of the distance on the map to the actual distance in real life. (A)</p> Signup and view all the answers

What is the advantage of using a scale of 1:50 when creating a floor plan?

<p>It reduces the size of the plan to a more manageable size (B)</p> Signup and view all the answers

What is the purpose of using symbols in floor plans?

<p>To indicate the location of specific features or objects (A)</p> Signup and view all the answers

What is the formula for calculating the volume of a box?

<p>Volume = Length x Width x Height (A)</p> Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a plan?

<p>To evaluate the functionality of the space (D)</p> Signup and view all the answers

What is the probability of an event that is very likely to occur?

<p>0.8 (C)</p> Signup and view all the answers

What is the purpose of using a probability scale?

<p>To categorize events as likely or unlikely (D)</p> Signup and view all the answers

What is the formula for converting measurements on a scale?

<p>Measurement on Plan = Real-life Measurement / Scale Factor (B)</p> Signup and view all the answers

What is the main difference between a seating plan and a floor plan?

<p>A seating plan is used for cinemas, while a floor plan is used for buildings (A)</p> Signup and view all the answers

What is the purpose of using a scale on a map?

<p>To provide a reference point for measuring distances (D)</p> Signup and view all the answers

What is the formula for calculating the area of a shape?

<p>Area = Length x Width (B)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (A)</p> Signup and view all the answers

What is the purpose of identifying the starting value and the rate of change in a linear pattern?

<p>To write the linear formula (D)</p> Signup and view all the answers

What is the formula for an inverse proportion relationship?

<p>y = k/x (C)</p> Signup and view all the answers

What is the purpose of plotting points on a graph?

<p>To visualize the relationship between the variables (A)</p> Signup and view all the answers

What is the value of 'c' in the rewritten linear formula c = 2 + 4b, where c is the cost and b is the number of items?

<p>The total cost (B)</p> Signup and view all the answers

What is the main characteristic of a discrete graph?

<p>It shows whole numbers and is represented by points connected with dotted lines. (D)</p> Signup and view all the answers

What is the correct order of operations when evaluating an expression with multiple operations?

<p>Brackets, Orders, Division, Multiplication, Addition, Subtraction (C)</p> Signup and view all the answers

What is the purpose of identifying patterns in a graph?

<p>To develop a rule or formula to describe the pattern. (D)</p> Signup and view all the answers

What is the formula for an inverse proportion?

<p>y = k/x (C)</p> Signup and view all the answers

What is the purpose of using the 'Change Sign' key on a calculator?

<p>To change the sign of a number from positive to negative or vice versa (C)</p> Signup and view all the answers

When converting a common fraction to a decimal fraction, what is the correct method?

<p>Divide the numerator by the denominator (D)</p> Signup and view all the answers

What is the purpose of touching the axes in a graph?

<p>To determine the starting value of the dependent variable or when the dependent variable has reached zero. (B)</p> Signup and view all the answers

What is the characteristic of an increasing graph?

<p>The slope goes up from left to right. (C)</p> Signup and view all the answers

What is the result of adding a number and its opposite?

<p>Zero (C)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (A)</p> Signup and view all the answers

What is the purpose of using a place value table when comparing numbers?

<p>To determine the value of each digit (B)</p> Signup and view all the answers

When multiplying a number by 100, what is the correct method?

<p>Shift each digit two places to the left (A)</p> Signup and view all the answers

What is the purpose of identifying the dependent and independent variables in a graph?

<p>To understand the relationship between the variables. (D)</p> Signup and view all the answers

What is the characteristic of a decreasing graph?

<p>The slope goes down from left to right. (D)</p> Signup and view all the answers

What is the definition of a mixed number?

<p>A combination of a whole number and a fraction (B)</p> Signup and view all the answers

What is the purpose of plotting points on a grid?

<p>To visualize the relationship between the variables. (B)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations?

<p>To check answers for accuracy (D)</p> Signup and view all the answers

What is the correct method for adding and subtracting fractions?

<p>Find a common denominator and then add or subtract (B)</p> Signup and view all the answers

What is the purpose of finding rules or formulas for patterns?

<p>To develop a general rule or formula to describe the pattern. (C)</p> Signup and view all the answers

What is the purpose of using the 'M+' key on a calculator?

<p>To add a number to the memory (C)</p> Signup and view all the answers

When multiplying a number by 10, 100, or 1000, what operation is performed on each digit?

<p>Shift each digit to the left by the number of zeros in the multiplier (D)</p> Signup and view all the answers

What is the order of operations when evaluating an expression with brackets and exponents?

<p>Brackets, Exponents, Multiplication and Division, Addition and Subtraction (C)</p> Signup and view all the answers

What is the result of multiplying a fraction by its reciprocal?

<p>1 (B)</p> Signup and view all the answers

What is the purpose of estimating in mathematics?

<p>To think about a problem before solving it (D)</p> Signup and view all the answers

What is the definition of a proper fraction?

<p>A fraction with a numerator less than the denominator (C)</p> Signup and view all the answers

What is the result of dividing a decimal fraction by 10?

<p>The decimal point moves one place to the left (B)</p> Signup and view all the answers

What is the definition of a rate?

<p>A comparison of two numbers with different units (C)</p> Signup and view all the answers

What is the purpose of using a calculator in mathematics?

<p>To perform calculations quickly (C)</p> Signup and view all the answers

What is the probability of an event if it has 4 favourable outcomes out of 8 possible outcomes?

<p>1/2 (B)</p> Signup and view all the answers

What is the purpose of using relative frequency in probability calculations?

<p>To determine the probability of an event based on experimental results (D)</p> Signup and view all the answers

What is the definition of a steep slope in a graph?

<p>A slope that indicates a quicker change (B)</p> Signup and view all the answers

What is the difference between a fair game and an unfair game?

<p>A fair game has an equal chance of winning or losing, while an unfair game has a greater chance of losing (D)</p> Signup and view all the answers

What is the purpose of using percentages in mathematics?

<p>To show a change in a value over time (D)</p> Signup and view all the answers

What is the purpose of using a tree diagram in probability calculations?

<p>To show the probability of a combined event (D)</p> Signup and view all the answers

What is the formula to calculate the probability of an event?

<p>P(E) = Number of favourable outcomes / Total number of possible outcomes (B)</p> Signup and view all the answers

What is the definition of a combined event?

<p>The result of combining two or more events (A)</p> Signup and view all the answers

What is the purpose of using the concept of probability in weather forecasting?

<p>To estimate the chance of a certain weather event occurring (D)</p> Signup and view all the answers

What is the formula to calculate the complement of an event?

<p>P(not E) = 1 - P(E) (B)</p> Signup and view all the answers

What is the purpose of using a two-way table in probability calculations?

<p>To show the probability of a combined event (C)</p> Signup and view all the answers

What is the difference between theoretical probability and relative frequency?

<p>Theoretical probability is the probability of an event based on calculations, while relative frequency is the probability of an event based on experiments (C)</p> Signup and view all the answers

What is the equivalent of 4700 millilitres in litres?

<p>4.7 l (D)</p> Signup and view all the answers

What is the equivalent of 0.042 kilometres in metres?

<p>420 m (C)</p> Signup and view all the answers

What is the weight in tonnes of an object that weighs 3500 kilograms?

<p>35 tonnes (B)</p> Signup and view all the answers

What is the equivalent volume in milliliters of a container that holds 1.5 cups?

<p>375 ml (A), 375 ml (C)</p> Signup and view all the answers

What is the equivalent of 2500 grams in kilograms?

<p>2.5 kg (C)</p> Signup and view all the answers

What is the cost of a bag of sugar that weighs 5 kilograms and costs $3 per kilogram?

<p>$15 (B)</p> Signup and view all the answers

What is the equivalent of 3.5 kilolitres in litres?

<p>3500 l (B)</p> Signup and view all the answers

What is the length in meters of a piece of wood that is 500 centimeters long?

<p>5 meters (B)</p> Signup and view all the answers

What is the equivalent of 420 centimetres in metres?

<p>0.42 m (C)</p> Signup and view all the answers

What is the equivalent of 0.0063 kilograms in grams?

<p>63 g (B)</p> Signup and view all the answers

What is the volume in liters of a container that holds 3750 milliliters?

<p>3.75 liters (B), 3.75 liters (C), 3.75 liters (D)</p> Signup and view all the answers

What is the weight in grams of an object that weighs 2.5 kilograms?

<p>25000 grams (A)</p> Signup and view all the answers

What is the equivalent of 1850 millimetres in centimetres?

<p>18.5 cm (B)</p> Signup and view all the answers

What is the equivalent of 0.095 kilometres in metres?

<p>950 m (D)</p> Signup and view all the answers

What is the cost of a bottle of oil that is 2 liters in volume and costs $4 per liter?

<p>$8 (C)</p> Signup and view all the answers

What is the equivalent weight in milligrams of an object that weighs 2.5 kilograms?

<p>2500000 milligrams (A), 2500000 milligrams (B), 2500000 milligrams (C)</p> Signup and view all the answers

What is the volume in teaspoons of a container that holds 120 milliliters?

<p>24 teaspoons (A), 24 teaspoons (B), 24 teaspoons (C)</p> Signup and view all the answers

What is the cost of a piece of fabric that is 3 meters long and costs $12 per meter?

<p>$36 (B)</p> Signup and view all the answers

What is the units of measurement for the circumference of a circle?

<p>meter (A)</p> Signup and view all the answers

What is the formula to calculate the area of a rectangle if the length and width are 5m and 3m respectively?

<p>A = 5 × 3 (D)</p> Signup and view all the answers

What is the scale of a map if 1 inch on the map equals 50 miles in real life?

<p>1:5000 (D)</p> Signup and view all the answers

What is the purpose of using a scale on a map?

<p>To represent the relationship between distances on the map and real-life distances (D)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a triangle if the sides are 3m, 4m, and 5m?

<p>P = 3 + 4 + 5 (D)</p> Signup and view all the answers

What is the definition of a square?

<p>A flat two-dimensional shape with all four sides equal in length (A)</p> Signup and view all the answers

What is the formula to calculate the area of a circle if the radius is 4m?

<p>A = π × 4² (D)</p> Signup and view all the answers

What is the unit of measurement for the area of a shape?

<p>meter² (D)</p> Signup and view all the answers

What is the definition of a perpendicular line?

<p>A straight line that lies at an angle of 90° to a given line (C)</p> Signup and view all the answers

What is the primary advantage of using a bar scale over a number scale in a map?

<p>Bar scales remain accurate when the map is resized. (D)</p> Signup and view all the answers

How do you estimate the area of a shape without using a formula?

<p>By counting the number of squares inside the shape (A)</p> Signup and view all the answers

If a scale of a map is 1:250, what does 1 cm on the map represent in real life?

<p>250 cm (D)</p> Signup and view all the answers

What is the formula to calculate the real distance using a number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor (A)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

<p>It becomes inaccurate when the map is resized. (A)</p> Signup and view all the answers

What is the purpose of using scales in maps?

<p>To accurately measure the distance on the map. (D)</p> Signup and view all the answers

What is the formula to calculate the scaled measurement when drawing a scaled map from real dimensions?

<p>Scaled Measurement = Actual Measurement / Scale Factor (B)</p> Signup and view all the answers

What is the advantage of using a number scale over a bar scale?

<p>It is easier to calculate the real distance. (D)</p> Signup and view all the answers

What is the definition of the scale of a map?

<p>The ratio of the distance on the map to the actual distance in real life. (D)</p> Signup and view all the answers

What is the purpose of understanding and using scales in maps?

<p>To accurately interpret and navigate maps. (C)</p> Signup and view all the answers

How do you use a bar scale to measure distance on a map?

<p>Measure the length of one segment, then measure the distance on the map, calculate how many segments fit into the measured distance, and multiply by the scale distance. (C)</p> Signup and view all the answers

What is the purpose of using a scale on a map?

<p>To show the relationship between real-life measurements and the map (A)</p> Signup and view all the answers

What is the difference between a seating plan and a floor plan?

<p>A seating plan is used for cinemas, while a floor plan is used for buildings (A)</p> Signup and view all the answers

What is the probability of an event that is very likely to occur?

<p>Near 1 (D)</p> Signup and view all the answers

What is the formula for calculating the volume of a box?

<p>Volume = Length × Width × Height (D)</p> Signup and view all the answers

What is the purpose of using symbols in floor plans?

<p>To show the location of furniture and fixtures (A)</p> Signup and view all the answers

What is the formula for converting measurements on a scale?

<p>Measurement on Plan = Real-life Measurement ÷ Scale Factor (B)</p> Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a plan?

<p>To understand the arrangement of furniture and fixtures (D)</p> Signup and view all the answers

What is the advantage of using a bar scale over a number scale?

<p>It is easier to use for measuring distances (D)</p> Signup and view all the answers

What is the probability of an event that has 3 favourable outcomes out of 12 possible outcomes?

<p>1/6 (C)</p> Signup and view all the answers

What is the purpose of using a probability scale?

<p>To measure the likelihood of an event (C)</p> Signup and view all the answers

What is the probability of rolling an even number on a fair six-sided die?

<p>1/2 (D)</p> Signup and view all the answers

A tree diagram is used to show all possible outcomes of a single event. What is the purpose of a tree diagram?

<p>To show all possible outcomes of an event (D)</p> Signup and view all the answers

What is the formula to calculate the probability of an event?

<p>P(E) = Number of favourable outcomes / Total number of possible outcomes (B)</p> Signup and view all the answers

What is the relative frequency of an event that has occurred 25 times out of 50 trials?

<p>1/2 (C)</p> Signup and view all the answers

A weather forecast states that the probability of rain is 70%. What is the probability of not raining?

<p>30% (B)</p> Signup and view all the answers

What is the purpose of analyzing past weather data in weather forecasting?

<p>To understand the pattern of weather changes (B)</p> Signup and view all the answers

What is the formula for the cost of items in terms of the number of items, if the cost is directly proportional to the number of items?

<p>c = 2 + 4b (C)</p> Signup and view all the answers

What is the probability of rolling a 6 on a fair six-sided die?

<p>1/6 (C)</p> Signup and view all the answers

What is the purpose of using a two-way table in probability?

<p>To analyze the probability of combined events (A)</p> Signup and view all the answers

What is the term used to describe the relationship between the values in a sequence, where each term is obtained by adding or subtracting a fixed constant?

<p>Linear pattern rule (B)</p> Signup and view all the answers

What is the formula used to describe the relationship between the position in a sequence and the value of the term?

<p>y = mx + c (B)</p> Signup and view all the answers

What is the probability of an event that is certain to occur?

<p>1 (C)</p> Signup and view all the answers

What is the purpose of using probability in real-life situations?

<p>To make informed decisions based on the likelihood of an event (B)</p> Signup and view all the answers

What is the graph of an inverse proportion relationship?

<p>A curve (A)</p> Signup and view all the answers

What is the purpose of plotting points on a graph?

<p>To visualize the relationship between variables (D)</p> Signup and view all the answers

What is the main difference between a discrete graph and a continuous graph?

<p>Discrete graphs have dotted lines, while continuous graphs have solid lines. (A)</p> Signup and view all the answers

What does the steepness of a graph indicate?

<p>The rate of change of the dependent variable. (B)</p> Signup and view all the answers

What is the formula for an inverse proportion?

<p>y = k/x (C)</p> Signup and view all the answers

What does the horizontal axis (x-axis) represent in a graph?

<p>The independent variable. (D)</p> Signup and view all the answers

What is the purpose of identifying patterns in a graph?

<p>To develop a rule or formula to describe the pattern. (D)</p> Signup and view all the answers

What does it indicate when a graph touches the vertical axis (y-axis)?

<p>The starting value of the dependent variable. (A)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (D)</p> Signup and view all the answers

What is the purpose of making sense of graphs that tell a story?

<p>To analyze the story and understand the data at a glance. (A)</p> Signup and view all the answers

What do increasing graphs indicate?

<p>A rise in values. (D)</p> Signup and view all the answers

What is the last step in plotting points on a grid?

<p>Plot the point where the two lines intersect. (B)</p> Signup and view all the answers

What is the primary purpose of estimating answers to calculations?

<p>To think about a problem before working it out. (A), To check answers for accuracy. (C)</p> Signup and view all the answers

What is the correct order of operations when performing calculations?

<p>BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) (B)</p> Signup and view all the answers

What is the result of adding a number and its opposite?

<p>Zero (A)</p> Signup and view all the answers

What is the purpose of grouping numbers when multiplying and adding?

<p>To make calculations easier (A)</p> Signup and view all the answers

What is the unit of measurement for the area of a shape?

<p>Square meters (A)</p> Signup and view all the answers

What is the result of multiplying a number by 100?

<p>The number shifts two places to the left (B)</p> Signup and view all the answers

What is the purpose of converting fractions to decimal fractions?

<p>To make calculations easier (A)</p> Signup and view all the answers

What is the definition of a proper fraction?

<p>A numerator smaller than the denominator (D)</p> Signup and view all the answers

What is the advantage of using a decimal comma in number representation?

<p>It separates whole numbers from decimal fractions (A)</p> Signup and view all the answers

What is the purpose of using a place value table when comparing numbers?

<p>To determine the value of each digit (A)</p> Signup and view all the answers

What is the correct order of operations when evaluating an expression with brackets and exponents?

<p>Brackets, then exponents, then division and multiplication, and finally addition and subtraction (D)</p> Signup and view all the answers

When multiplying a number by 10, 100, or 1000, what happens to the digits in the original number?

<p>The digits shift to the left by the number of zeros in the multiplier (A)</p> Signup and view all the answers

What is the correct way to calculate the percentage value of a given amount?

<p>Convert the percentage to a fraction and multiply it by the given amount (D)</p> Signup and view all the answers

What is the definition of a ratio?

<p>A comparison of two or more numbers of the same type (A)</p> Signup and view all the answers

What is the purpose of using a calculator when estimating?

<p>To think about a problem before solving it (D)</p> Signup and view all the answers

What is the definition of a mixed number?

<p>A whole number combined with a proper fraction (D)</p> Signup and view all the answers

What is the purpose of using a place value table to compare numbers?

<p>To arrange numbers in order from smallest to largest (B)</p> Signup and view all the answers

What is the correct way to add fractions with different denominators?

<p>Find the least common multiple of the denominators and convert the fractions (D)</p> Signup and view all the answers

What is the definition of a negative number?

<p>A number less than zero (A)</p> Signup and view all the answers

What is the purpose of using a graph to display data?

<p>To show the relationship between the variables (C)</p> Signup and view all the answers

What is the equivalent of 0.025 kilometres in meters?

<p>2500 m (B)</p> Signup and view all the answers

If 1 kilolitre is equal to 1000 litres, how many millilitres are in 2 kilolitres?

<p>2,000,000 ml (B)</p> Signup and view all the answers

What is the equivalent of 3750 grams in kilograms?

<p>3.75 kg (C)</p> Signup and view all the answers

If a car travels 0.5 kilometres, how many meters does it travel?

<p>5000 m (D)</p> Signup and view all the answers

What is the equivalent of 0.035 litres in millilitres?

<p>35 ml (C)</p> Signup and view all the answers

If a container has a volume of 3.5 kilolitres, what is the equivalent volume in litres?

<p>3500 l (A)</p> Signup and view all the answers

What is the equivalent of 0.75 tonnes in kilograms?

<p>7500 kg (D)</p> Signup and view all the answers

If a bottle of water has a volume of 2.5 litres, what is the equivalent volume in millilitres?

<p>2500 ml (C)</p> Signup and view all the answers

If a recipe requires 3 cups of flour, and you only have a measuring spoon, how many teaspoons would you need?

<p>1800 tsp (A)</p> Signup and view all the answers

A container can hold 2 liters of liquid. If you need to measure 750 ml of juice, what fraction of the container would you need to fill?

<p>3/8 (B)</p> Signup and view all the answers

A scale measures a weight of 2.5 kg. What is the equivalent weight in milligrams?

<p>2500000 mg (B)</p> Signup and view all the answers

A trundle wheel measures a distance of 250 meters. What is the equivalent distance in kilometers?

<p>0.25 km (B)</p> Signup and view all the answers

A thermometer measures a temperature of 25°C. What is the equivalent temperature in Fahrenheit?

<p>77°F (C)</p> Signup and view all the answers

A recipe requires 250 ml of oil. What is the equivalent volume in cups?

<p>1/2 cup (A)</p> Signup and view all the answers

A market scale measures a weight of 5 kilograms. What is the equivalent weight in tonnes?

<p>0.005 t (D)</p> Signup and view all the answers

A measuring tape measures a length of 500 centimeters. What is the equivalent length in meters?

<p>0.5 m (C)</p> Signup and view all the answers

A container can hold 1 liter of liquid. What is the equivalent volume in milliliters?

<p>1000 ml (B)</p> Signup and view all the answers

A kitchen scale measures a weight of 250 grams. What is the equivalent weight in milligrams?

<p>250000 mg (A)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a triangle?

<p>P = length + width + height (A)</p> Signup and view all the answers

What is the purpose of using scales in maps?

<p>To represent the real-world distance on a map (D)</p> Signup and view all the answers

What is the definition of the radius of a circle?

<p>The length from the centre to any point on the edge of the circle (A)</p> Signup and view all the answers

What is the main advantage of using a bar scale over a number scale?

<p>It remains accurate when the map is resized (B)</p> Signup and view all the answers

What is the formula to calculate the real distance using a number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor (A)</p> Signup and view all the answers

What is the formula to calculate the area of a rectangle?

<p>A = length × width (C)</p> Signup and view all the answers

What is the definition of the scale of a map?

<p>A ratio representing the distance on the map to the actual distance in real life (C)</p> Signup and view all the answers

What is the unit of measurement for the perimeter of a shape?

<p>mm, cm, m, or km (D)</p> Signup and view all the answers

What is the formula to calculate the real distance using a number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor (D)</p> Signup and view all the answers

What is the primary purpose of using scales in maps?

<p>To accurately measure distances and dimensions on a map (D)</p> Signup and view all the answers

What is the definition of a square?

<p>A flat, two-dimensional shape with all four sides equal in length, and all adjacent sides at right angles to each other (A)</p> Signup and view all the answers

What is the formula to calculate the scaled measurement when drawing a scaled map from real dimensions?

<p>Scaled Measurement = Actual Measurement ÷ Scale Factor (C)</p> Signup and view all the answers

What is the purpose of using a bar scale in a map?

<p>To measure the real distance on a map (A)</p> Signup and view all the answers

What is the main difference between a number scale and a bar scale?

<p>A number scale requires proportional resizing, while a bar scale does not (A)</p> Signup and view all the answers

What is the purpose of understanding and using scales in maps?

<p>To accurately interpret and navigate maps (C)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a rectangle?

<p>P = 2 × length + 2 × width (A)</p> Signup and view all the answers

What is the definition of a circle?

<p>A set of points equidistant from a central point called the centre (A)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

<p>It becomes inaccurate when the map is resized (C)</p> Signup and view all the answers

What is the purpose of a bar scale in a map?

<p>To accurately measure distances on a map (B)</p> Signup and view all the answers

How do you use a bar scale to measure distance on a map?

<p>Measure the length of one segment and calculate how many segments fit the measured distance (C)</p> Signup and view all the answers

When reading and writing large numbers, what is the main advantage of separating numbers into groups of three digits?

<p>It makes the numbers easier to read and write (D)</p> Signup and view all the answers

What is the purpose of using a place value table in identifying the value of each digit?

<p>To identify the place value of each digit (C)</p> Signup and view all the answers

What is the correct order of operations when performing calculations involving brackets, orders, division, multiplication, addition, and subtraction?

<p>Brackets, orders, division, multiplication, addition, subtraction (C)</p> Signup and view all the answers

What is the purpose of identifying the starting value and the rate of change in a linear pattern?

<p>To describe the linear relationship between variables (B)</p> Signup and view all the answers

What is the result of adding a number and its opposite?

<p>Zero (A)</p> Signup and view all the answers

What is the purpose of using the change sign key on a calculator?

<p>To change the sign of a number (C)</p> Signup and view all the answers

What is the formula used to describe an inverse proportion relationship?

<p>y = k/x (D)</p> Signup and view all the answers

What is the purpose of rewriting the formula using variables, such as c = 2 + 4b, where c is the cost and b is the number of items?

<p>To make the formula more applicable to real-world scenarios (A)</p> Signup and view all the answers

What is the result of multiplying a number by 100?

<p>The number is shifted two places to the left (A)</p> Signup and view all the answers

What is the purpose of recognizing a linear relationship if points form a straight line?

<p>To describe the linear relationship using the formula y = mx + c (A)</p> Signup and view all the answers

What is the purpose of using a convention when writing numbers?

<p>To follow a standard way of doing something (B)</p> Signup and view all the answers

What is the difference between a proper fraction and an improper fraction?

<p>A proper fraction has a numerator smaller than the denominator (D)</p> Signup and view all the answers

What is the purpose of using variables to represent positions and values in a sequence?

<p>To find the general formula for the sequence (A)</p> Signup and view all the answers

What is the purpose of converting between fractions and decimal fractions?

<p>To compare and order fractions and decimal fractions (B)</p> Signup and view all the answers

What is the result of multiplying a number by 10?

<p>The number is shifted one place to the right (D)</p> Signup and view all the answers

What is the probability of rolling an even number on a fair six-sided die?

<p>1/2 (A)</p> Signup and view all the answers

A weather forecasting system predicts a 70% chance of rain tomorrow. What is the probability of not raining tomorrow?

<p>0.3 (B)</p> Signup and view all the answers

A game is played with a coin and a die. What is the probability of getting heads on the coin and an even number on the die?

<p>1/4 (A)</p> Signup and view all the answers

A tree diagram is used to show the possible outcomes of rolling a die and flipping a coin. How many branches will the tree diagram have?

<p>12 (C)</p> Signup and view all the answers

A relative frequency of 3/5 means that an event occurred 3 times out of how many trials?

<p>5 (A)</p> Signup and view all the answers

What is the probability of drawing a king from a standard deck of 52 cards?

<p>1/13 (B)</p> Signup and view all the answers

A two-way table is used to show the possible outcomes of rolling a die and drawing a card from a deck. What is the total number of cells in the table?

<p>36 (D)</p> Signup and view all the answers

What is the probability of rolling a sum of 7 on two fair six-sided dice?

<p>1/8 (A)</p> Signup and view all the answers

A fair game has a probability of winning of 1/2. What is the probability of winning at least once in two games?

<p>3/4 (D)</p> Signup and view all the answers

A probability of 2/3 means that an event is expected to occur how many times out of 9 trials?

<p>6 (D)</p> Signup and view all the answers

What is the main difference between a discrete graph and a continuous graph?

<p>Discrete graphs represent whole numbers, while continuous graphs represent measurements that can take any value within a range. (A)</p> Signup and view all the answers

What does the slope of a graph indicate?

<p>The rate of change of the dependent variable. (D)</p> Signup and view all the answers

What is the formula for a linear relationship?

<p>y = mx + c (C)</p> Signup and view all the answers

What does the y-intercept of a graph represent?

<p>The starting value of the dependent variable. (C)</p> Signup and view all the answers

What is the purpose of identifying patterns in data?

<p>To develop a rule or formula to describe the pattern. (C)</p> Signup and view all the answers

What is the formula for inverse proportions?

<p>y = k/x (D)</p> Signup and view all the answers

What does the horizontal axis of a graph represent?

<p>The independent variable. (D)</p> Signup and view all the answers

What is the purpose of plotting points on a grid?

<p>To visualize the relationship between the variables. (D)</p> Signup and view all the answers

What is the definition of a dependent variable?

<p>A variable that changes in response to the independent variable. (A)</p> Signup and view all the answers

What is the purpose of interpreting graphs?

<p>To understand the relationship between the variables and make sense of the data. (A)</p> Signup and view all the answers

What is the main purpose of using a place value table to compare numbers?

<p>To compare the magnitude of numbers (D)</p> Signup and view all the answers

What is the correct order of operations when evaluating an expression with brackets and exponents?

<p>Brackets, Exponents, Division, Multiplication, Addition, Subtraction (D)</p> Signup and view all the answers

What is the result of multiplying a number by 10, 100, and 1000?

<p>The number is shifted one place to the right, two places to the right, and three places to the right, respectively (B)</p> Signup and view all the answers

What is the definition of a mixed number?

<p>A whole number combined with a proper fraction (C)</p> Signup and view all the answers

What is the purpose of estimating in mathematical calculations?

<p>To check the accuracy of a calculation (A)</p> Signup and view all the answers

What is the definition of a ratio?

<p>A comparison of two numbers with the same unit (A)</p> Signup and view all the answers

What is the formula to calculate the percentage value of a given amount?

<p>Percentage = (Fraction × 100) / Amount (B)</p> Signup and view all the answers

What is the definition of a negative number?

<p>A number less than zero (C)</p> Signup and view all the answers

What is the purpose of rounding numbers?

<p>To approximate the value of a number (A)</p> Signup and view all the answers

What is the definition of a graph?

<p>A visual representation of a relationship between two variables (A)</p> Signup and view all the answers

What is the main purpose of using a scale on a map?

<p>To provide a visual representation of real-life measurements (B)</p> Signup and view all the answers

Which of the following is a common symbol used in floor plans?

<p>Solid wall (D)</p> Signup and view all the answers

What is the formula for converting measurements on a scale?

<p>Measurement on Plan = Real-life Measurement ÷ Scale Factor (C)</p> Signup and view all the answers

What is the primary purpose of analyzing the layout of a structure shown on a plan?

<p>To understand the arrangement of furniture and fixtures (A)</p> Signup and view all the answers

What is the probability of an event that is very likely to occur?

<p>Near 1 (B)</p> Signup and view all the answers

What is the purpose of using a probability scale?

<p>To describe the likelihood of an event occurring (A)</p> Signup and view all the answers

What is the formula for calculating the volume of a box?

<p>Volume = Length × Width × Height (B)</p> Signup and view all the answers

What is the main difference between a seating plan and a floor plan?

<p>A seating plan shows the arrangement of furniture, while a floor plan shows the layout of a building (D)</p> Signup and view all the answers

What is the purpose of using symbols in floor plans?

<p>To represent common elements such as toilets and lifts (B)</p> Signup and view all the answers

What is the probability of an impossible event?

<p>0 (A)</p> Signup and view all the answers

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