Gr10 Math Lit: November test mix P(2)
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Questions and Answers

What is the unit of length equal to 1000 meters?

  • decimetre
  • kilometre (correct)
  • millimetre
  • centimetre

How many millimetres are equal to 1 centimetre?

  • 15
  • 10 (correct)
  • 5
  • 20

What is the formula to convert length from centimetres to meters?

  • Length in m = Length in cm / 10
  • Length in m = Length in cm x 100
  • Length in m = Length in cm / 100 (correct)
  • Length in m = Length in cm x 10

What is the unit of volume equal to 1000 litres?

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

How many millilitres are equal to 1 litre?

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

What is the formula to convert volume from millilitres to litres?

<p>Volume in l = Volume in ml / 1000 (D)</p> Signup and view all the answers

What is the conversion factor for milligrams to grams?

<p>1000 mg = 1 g (D)</p> Signup and view all the answers

What is the unit of weight equal to 1000 kilograms?

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

How many grams are equal to 1 kilogram?

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

What is the formula to convert weight from kilograms to grams?

<p>Weight in g = Weight in kg × 1000 (C)</p> Signup and view all the answers

What is the conversion factor for cups to milliliters?

<p>1 cup = 250 ml (B)</p> Signup and view all the answers

What is the formula to convert teaspoons to milliliters?

<p>Volume in ml = Volume in tsp × 5 (A)</p> Signup and view all the answers

What instrument is used to measure distance in meters?

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

What is the formula for calculating the total cost of an item?

<p>Total Cost = Length Needed × Price per Meter (D)</p> Signup and view all the answers

What is the conversion factor for kilograms to grams?

<p>1 kg = 1000 g (D)</p> Signup and view all the answers

What is the instrument used to measure volume in 1 liter?

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

What is the unit of measurement for temperature?

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

What is the purpose of an Odometer?

<p>To measure distance traveled by a vehicle (C)</p> Signup and view all the answers

What is the freezing point of water at sea level?

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

What is the term for the total length of the outside of a shape?

<p>Perimeter (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 term for a flat, two-dimensional shape with all four sides equal in length?

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

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

<p>A = π × radius^2 (B)</p> Signup and view all the answers

What is the term for a straight line that lies at an angle of 90° to a given line, plane, or surface?

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

What is the ratio representing the distance on the map to the actual distance in real life?

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

What is the term for a graphical representation of distances on a map?

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

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

<p>mm², cm², m², or km² (B)</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 (B)</p> Signup and view all the answers

What is the formula to find 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 advantage of using a number scale?

<p>It is simple to use and requires measuring only one distance (D)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

<p>It becomes incorrect if the map is resized because the scale does not adjust proportionally (B)</p> Signup and view all the answers

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

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

What is the advantage of using a bar scale?

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

What is the disadvantage of using a bar scale?

<p>It requires measuring the length of one segment and then calculating how many segments fit the measured distance (C)</p> Signup and view all the answers

How do you draw a scaled map from real dimensions?

<p>By knowing the actual measurements of everything to be included and the scale to be used (C)</p> Signup and view all the answers

What is the formula to find the scaled measurement from real dimensions?

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

Why is it essential to understand how to use scale maps and give clear directions?

<p>So you can navigate through different environments (C)</p> Signup and view all the answers

What does a scale of 1:50 mean on a map?

<p>1 unit on the map represents 50 units in real life (B)</p> Signup and view all the answers

What is the purpose of using clear and concise language when providing directions?

<p>To make the directions easier to understand (C)</p> Signup and view all the answers

What is the purpose of a seating plan in a cinema or theatre?

<p>To show the location of seats in relation to aisles and the screen (A)</p> Signup and view all the answers

What does a floor plan show?

<p>A 2-dimensional picture of a building (C)</p> Signup and view all the answers

What is the formula for converting measurements on a scale or map?

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

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

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

What is the probability of an event that is impossible to happen?

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

What is the purpose of using symbols in a floor plan?

<p>To make the floor plan more understandable (C)</p> Signup and view all the answers

What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

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

What is the correct way to read and write large numbers?

<p>Separate numbers into groups of three digits (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 (D)</p> Signup and view all the answers

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

<p>Adds a number to the memory (D)</p> Signup and view all the answers

What is the correct order of operations in calculations?

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

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

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

What is the term for a fraction whose numerator is larger than the denominator?

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

How do you multiply a number by 10?

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

What is the purpose of a place value table?

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

How do you convert a common fraction to a decimal fraction?

<p>Divide by the denominator (A)</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 (C)</p> Signup and view all the answers

What is the main purpose of estimating in mathematics?

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

What is the correct order of operations in BODMAS?

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

What is the result of multiplying a number by 10?

<p>The number is shifted to the left by one place (C)</p> Signup and view all the answers

What is a proper fraction?

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

What is the formula for describing a linear relationship?

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

How do you convert a common fraction to a decimal fraction?

<p>By dividing the numerator by the denominator (B)</p> Signup and view all the answers

What is the definition of a positive number?

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

How do you identify a linear relationship on a graph?

<p>The points form a straight line (D)</p> Signup and view all the answers

What is the rule for rounding to the nearest 10?

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

What is the formula for describing an inverse proportion relationship?

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

What is the term for a comparison of two or more numbers of the same type?

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

How do you write data points on a graph?

<p>As ordered pairs (x, y) (B)</p> Signup and view all the answers

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

<p>100% (B)</p> Signup and view all the answers

What is the purpose of a graph in mathematics?

<p>To display relationships between two variables (B)</p> Signup and view all the answers

What is the purpose of a tree diagram?

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

What is the feature of an increasing graph?

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

What is the formula for calculating 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 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 is weighted to favor one player over another (D)</p> Signup and view all the answers

What is the purpose of calculating the relative frequency of an event?

<p>To show the actual result of an experiment (A)</p> Signup and view all the answers

What is the difference between an outcome and an event?

<p>An outcome is a single result, while an event is a collection of outcomes (A)</p> Signup and view all the answers

What is the formula for calculating 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 a two-way table?

<p>To show the outcomes of two events and calculate combined probabilities (C)</p> Signup and view all the answers

What is the difference between theoretical probability and relative frequency?

<p>Theoretical probability is the calculated probability of an event, while relative frequency is the actual result of an experiment (A)</p> Signup and view all the answers

What is a convention in number formats?

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

What is an independent variable in a graph?

<p>A variable that stands alone and isn't affected by other variables (D)</p> Signup and view all the answers

What type of graph represents whole numbers?

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

What does the vertical axis (y-axis) represent in a graph?

<p>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 does the slope of a graph represent?

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

What type of graph shows a continuous change in values?

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

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

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

What is the formula for an inverse proportional relationship?

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

What does the steepness of a graph indicate?

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

What is the length in centimeters of an object that is 3000 millimeters long?

<p>300 cm (D)</p> Signup and view all the answers

If a car travels 2500 meters in 1 kilometer, how many meters does it travel in 1 kilometer?

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

What is the volume in liters of a container that holds 2000 milliliters?

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

If a truck weighs 2500 kilograms, what is its weight in tonnes?

<p>2.5 t (D)</p> Signup and view all the answers

What is the length in meters of an object that is 7500 centimeters long?

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

What is the volume in kiloliters of a container that holds 3000 liters?

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

If a bag weighs 500 grams, what is its weight in kilograms?

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

What is the length in kilometers of an object that is 12,000 meters long?

<p>1.2 km (D)</p> Signup and view all the answers

What is the conversion factor to convert milligrams to grams?

<p>1 mg = 0.001 g (A)</p> Signup and view all the answers

What is the formula to convert teaspoons to millilitres?

<p>Volume in ml = Volume in tsp × 15 (C)</p> Signup and view all the answers

What is the purpose of using a trundle wheel?

<p>To measure distance in meters (D)</p> Signup and view all the answers

What is the formula to convert kilograms to tonnes?

<p>Weight in t = Weight in kg ÷ 1000 (B)</p> Signup and view all the answers

What is the unit of measurement for the volume of a liquid?

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

What is the purpose of using a measuring spoon?

<p>To measure volume in millilitres (C)</p> Signup and view all the answers

What is the conversion factor to convert cups to millilitres?

<p>1 cup = 250 ml (D)</p> Signup and view all the answers

What is the instrument used to measure the weight of a person?

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

What is the formula to convert grams to kilograms?

<p>Weight in kg = Weight in g ÷ 1000 (D)</p> Signup and view all the answers

What is the purpose of using a measuring jug?

<p>To measure volume in millilitres (A)</p> Signup and view all the answers

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

<p>P = side_1 + side_2 + side_3 (B)</p> Signup and view all the answers

What is the definition of the circumference of a circle?

<p>The distance around the curved edge of a circle (C)</p> Signup and view all the answers

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

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

What is the purpose of a scale on a map?

<p>To represent the actual distance in real life (B)</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 (B)</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 (B)</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 definition of a square?

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

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

<p>To represent the actual distance or size in real life (D)</p> Signup and view all the answers

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

<p>To accurately represent the distance between locations (D)</p> Signup and view all the answers

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

<p>A number scale is expressed as a ratio, while a bar scale is represented graphically (B)</p> Signup and view all the answers

What is the advantage of using a bar scale?

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

What is the formula to find 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 formula to find the scaled measurement from real dimensions?

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

Why is it essential to understand how to use scale maps and give clear directions?

<p>To navigate through different environments (A)</p> Signup and view all the answers

What is the purpose of using a seating plan in a cinema or theatre?

<p>To show the layout of the seats (D)</p> Signup and view all the answers

What does a floor plan show?

<p>The layout of the rooms and furniture (B)</p> Signup and view all the answers

What is the advantage of using a number scale?

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

What is the disadvantage of using a bar scale?

<p>It requires measuring the length of a segment and calculating how many segments fit the measured distance (C)</p> Signup and view all the answers

What is the purpose of using symbols in a floor plan?

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

What is the formula to calculate the volume of a box?

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

What does a floor plan show?

<p>The layout of the building or room from a top view (C)</p> Signup and view all the answers

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

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

What is the purpose of using clear and concise language when providing directions?

<p>To ensure the reader can easily follow the directions (A)</p> Signup and view all the answers

What is the formula to convert measurements on a scale or map?

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

What is the purpose of a seating plan in a cinema or theatre?

<p>To describe the position of seats in relation to aisles, exits, and the stage or screen (C)</p> Signup and view all the answers

What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

<p>It is important to ensure the overall functionality of the space (D)</p> Signup and view all the answers

What is the probability of an event that is impossible to happen?

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

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

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

What is the difference between theoretical probability and relative frequency?

<p>Theoretical probability is the calculated probability, while relative frequency is the actual result. (B)</p> Signup and view all the answers

When comparing digits to order numbers from smallest to largest, which column should you start from?

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

What is the purpose of a tree diagram?

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

What is the formula for calculating the probability of an event?

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

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

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

What is the difference between an outcome and an event?

<p>An outcome is a single result, while an event is a collection of outcomes. (A)</p> Signup and view all the answers

Which of the following is a correct method for multiplying a number by 10?

<p>Shift each digit one place to the left (B)</p> Signup and view all the answers

What is the purpose of weather predictions?

<p>To make predictions about future weather based on past data. (D)</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 convention for writing numbers in South Africa?

<p>Using a decimal comma to separate whole numbers from decimal fractions. (B)</p> Signup and view all the answers

What is the correct way to separate numbers into groups of three digits when writing large numbers?

<p>Starting from the right (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 (D)</p> Signup and view all the answers

What is the purpose of a two-way table?

<p>To show the outcomes of two events and make it easier to calculate combined probabilities. (B)</p> Signup and view all the answers

What is the correct way to convert a common fraction to a decimal fraction?

<p>Use division to convert (B)</p> Signup and view all the answers

What is the formula for calculating the complement of an event?

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

What is the order of operations in calculations, often remembered by the acronym?

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

What is the purpose of using place value tables?

<p>To identify the value of each digit in a large number. (A)</p> Signup and view all the answers

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

<p>To make multiplication and addition easier (B)</p> Signup and view all the answers

What is the purpose of writing numbers in words?

<p>To make it easier to read and understand large numbers. (A)</p> Signup and view all the answers

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

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

What represents the value of the nth term in a sequence?

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

Which of the following graphs would represent an inverse proportion relationship?

<p>A curved line (D)</p> Signup and view all the answers

What is the formula to describe a linear relationship?

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

What is the purpose of rewriting a formula using variables?

<p>To represent positions and values in the sequence (C)</p> Signup and view all the answers

What is plotted on a graph to represent data points?

<p>Ordered pairs (x, y) (B)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations?

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

What is the rule for rounding numbers to the nearest 10?

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

What is the order of operations when using BODMAS?

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

What is the main difference between discrete and continuous graphs?

<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 is the purpose of using a place value table?

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

What is the definition of a negative number?

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

What is the purpose of the horizontal axis in a graph?

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

What is the formula for an inverse proportion?

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

What is the formula to calculate the percentage value?

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

What is the definition of the dependent variable in a graph?

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

What is the purpose of using ratio and proportion?

<p>To compare numbers of the same type (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. (B)</p> Signup and view all the answers

What is the definition of a rate?

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

What is the purpose of using a graph?

<p>To display relationships between two variables (C)</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 does a steep slope on a graph indicate?

<p>A quick rate of change. (A)</p> Signup and view all the answers

What is the purpose of the vertical axis in a graph?

<p>To represent the dependent variable. (A)</p> Signup and view all the answers

What is the definition of an increasing graph?

<p>A graph that shows a rise in values. (C)</p> Signup and view all the answers

What is the purpose of interpreting graphs in Mathematical Literacy?

<p>To identify patterns and understand the relationship between two quantities. (B)</p> Signup and view all the answers

What is the conversion factor for centimetres to millimetres?

<p>1 cm = 100 mm (A)</p> Signup and view all the answers

What is the formula to convert length from meters to kilometres?

<p>Length in km = Length in m ÷ 1000 (C)</p> Signup and view all the answers

What is the conversion factor for litres to millilitres?

<p>1 L = 1000 mL (C)</p> Signup and view all the answers

What is the formula to convert volume from millilitres to litres?

<p>Volume in L = Volume in mL ÷ 1000 (D)</p> Signup and view all the answers

What is the conversion factor for kilograms to grams?

<p>1 kg = 1000 g (D)</p> Signup and view all the answers

What is the formula to convert weight from kilograms to tonnes?

<p>Weight in t = Weight in kg ÷ 1000 (D)</p> Signup and view all the answers

What is the unit of length that is equal to 1000 meters?

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

What is the unit of volume that is equal to 1000 millilitres?

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

What is the conversion factor for kilograms to grams?

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

What is the formula to convert weight from milligrams to grams?

<p>Weight in g = Weight in mg ÷ 1000 (C)</p> Signup and view all the answers

What instrument is used to measure the weight of bulky objects?

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

What is the formula to convert volume from cups to milliliters?

<p>Volume in ml = Volume in cups × 250 (B)</p> Signup and view all the answers

What instrument is used to measure the volume of a liquid in 125 ml?

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

What is the conversion factor for tonnes to kilograms?

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

What instrument is used to measure the distance travelled by a vehicle?

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

What is the formula to convert weight from kilograms to tonnes?

<p>Weight in t = Weight in kg ÷ 1000 (D)</p> Signup and view all the answers

What is the instrument used to measure the temperature of the human body?

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

What is the unit of measurement for the space an object occupies?

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

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

<p>P = side_1 + side_2 + side_3 (C)</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 (D)</p> Signup and view all the answers

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

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

What is the term for the distance around the curved edge of a circle?

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

What is the definition of the scale of a map?

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

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

<p>C = 2 × π × radius (A), C = π × diameter (C)</p> Signup and view all the answers

What is the term for a flat, two-dimensional shape with all four sides equal in length?

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

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

<p>A = π × radius^2 (A)</p> Signup and view all the answers

What is the purpose of using scale maps?

<p>To represent large distances or sizes in a more manageable way (A)</p> Signup and view all the answers

What is the purpose of a scale on a map?

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

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

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

What is an advantage of using a bar scale?

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

How do you draw a scaled map from real dimensions?

<p>By using a formula to calculate the scaled measurements (B)</p> Signup and view all the answers

What does a scale of 1:100 mean on a map?

<p>1 unit on the map equals 100 units in reality (D)</p> Signup and view all the answers

What is the purpose of using scales on maps?

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

What is the disadvantage of using a number scale?

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

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

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

What is the purpose of using clear and concise language when providing directions?

<p>To ensure the reader can easily follow the directions (D)</p> Signup and view all the answers

What does a floor plan show?

<p>The arrangement of furniture and fixtures in a building (B)</p> Signup and view all the answers

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

<p>To represent a large area in a smaller size (B)</p> Signup and view all the answers

What is the formula to calculate the volume of a box?

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

What is the purpose of using symbols in a floor plan?

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

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

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

What is the formula to convert measurements on a scale or map?

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

What is the purpose of providing clear and concise language when giving directions?

<p>To make the directions easier to follow (B)</p> Signup and view all the answers

What is a floor plan?

<p>A 2-dimensional picture of a building (A)</p> Signup and view all the answers

What is the purpose of using a seating plan in a cinema or theatre?

<p>To show the location of the seats and aisles (B)</p> Signup and view all the answers

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

<p>It represents a large area in a smaller size (B)</p> Signup and view all the answers

What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

<p>It makes the room more functional (A)</p> Signup and view all the answers

What is the purpose of breaking down and multiplying large numbers?

<p>To make the calculation easier and more manageable (C)</p> Signup and view all the answers

What is the order of operations often remembered by the acronym?

<p>BODMAS (C)</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 a place value table?

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

What is the effect of multiplying a number by 10?

<p>Each digit is shifted one place to the left (D)</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 (A)</p> Signup and view all the answers

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

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

What is the definition of a fair game?

<p>A game where both players have an equal chance of winning or losing. (C)</p> Signup and view all the answers

What is the purpose of using tree diagrams?

<p>To show the probability of a compound event. (B)</p> Signup and view all the answers

What is the format 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 is the purpose of using a convention in number representation?

<p>To make the number easier to read and understand (C)</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) (A)</p> Signup and view all the answers

What is the definition of a relative frequency?

<p>The number of times an event occurs divided by the total number of trials. (B)</p> Signup and view all the answers

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

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

What is the purpose of using two-way tables?

<p>To show the probability of a compound event. (B)</p> Signup and view all the answers

What is the definition of an outcome?

<p>The result of a single trial. (D)</p> Signup and view all the answers

What is the formula to describe a linear relationship?

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

What does the letter 'a_n' represent in a sequence?

<p>The value of the nth term (C)</p> Signup and view all the answers

What is the definition of an event?

<p>A collection of one or more outcomes. (B)</p> Signup and view all the answers

What is the purpose of using weather predictions?

<p>To make decisions based on past weather data. (B)</p> Signup and view all the answers

How do you identify a linear relationship from a graph?

<p>The graph forms a straight line (C)</p> Signup and view all the answers

What is the formula to describe an inverse proportion relationship?

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

What is the purpose of using place value tables?

<p>To identify the value of each digit in a large number. (B)</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 (C)</p> Signup and view all the answers

What is the purpose of estimating in calculations?

<p>To check the accuracy of an answer (B)</p> Signup and view all the answers

What is the order of operations in BODMAS?

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

What is the definition of a mixed number?

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

What is the result of adding a positive and a negative number?

<p>The result depends on the numbers being added (D)</p> Signup and view all the answers

What is the purpose of using a ratio?

<p>To compare two numbers of the same type (B)</p> Signup and view all the answers

What is the definition of a percentage?

<p>A fraction with a denominator of 100 (B)</p> Signup and view all the answers

What is the purpose of using a graph?

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

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

<p>A quicker change in the relationship between two variables (C)</p> Signup and view all the answers

What is the purpose of using a calculator?

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

What is the term for a variable that stands alone and isn't affected by other variables?

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

What does a graph touching the horizontal axis indicate?

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

What type of graph represents whole numbers and is shown by points connected with dotted lines?

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

What is the formula for identifying linear relationships?

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

What does the steepness of a graph indicate?

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

What is the purpose of interpreting graphs in Mathematical Literacy?

<p>To visualize the relationship between two quantities and make sense of the data (B)</p> Signup and view all the answers

What is the term for a graph that opens downward, indicating a decrease in values?

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

What is the formula for identifying inverse proportions?

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

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

<p>Start at the origin (0,0) (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 (A)</p> Signup and view all the answers

What is the length in centimetres of an object that is 2500 millimetres long?

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

How many litres are equal to 3750 millilitres?

<p>3.75 l (A)</p> Signup and view all the answers

A kilogram is equal to how many grams?

<p>1000 g (D)</p> Signup and view all the answers

What is the volume in kilolitres of a container that holds 2400 litres?

<p>2.4 kl (C)</p> Signup and view all the answers

If a car travels 3750 metres, how many kilometres has it travelled?

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

What is the length in metres of an object that is 375 centimetres long?

<p>3.75 m (D)</p> Signup and view all the answers

If a bottle holds 2.5 litres of water, how many millilitres is it equal to?

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

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

<p>2500 g (A)</p> Signup and view all the answers

If the scale of a map is 1:200, what is the actual distance in real life if the distance on the map is 5 cm?

<p>1000 cm (A)</p> Signup and view all the answers

What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

<p>26 cm (B)</p> Signup and view all the answers

If the radius of a circle is 4 cm, what is its circumference?

<p>16.56 cm (B)</p> Signup and view all the answers

What is the area of a triangle with a base of 6 cm and a height of 8 cm?

<p>24 cm² (A)</p> Signup and view all the answers

If a piece of string is placed along the outline of a circle to measure its circumference, what is this method called?

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

What is the formula to convert a measurement from a number scale to the real distance?

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

What is the term for the distance around the curved edge of a circle?

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

If the scale of a map is 1:500, what is the actual distance in real life if the distance on the map is 2 cm?

<p>100 m (D)</p> Signup and view all the answers

If a recipe requires 3 cups of flour, how many milliliters of flour are needed?

<p>750 ml (C)</p> Signup and view all the answers

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

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

A builder needs 2500 kilograms of cement to complete a project. How many tonnes of cement are required?

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

A person weighs 65 kilograms. How many grams do they weigh?

<p>65000 g (A)</p> Signup and view all the answers

A recipe requires 2 tablespoons of oil. How many milliliters of oil are needed?

<p>30 ml (A)</p> Signup and view all the answers

A water tank can hold 5000 liters of water. How many milliliters of water can it hold?

<p>5000000 ml (B)</p> Signup and view all the answers

A builder needs to measure the length of a room. Which instrument would be most suitable for this task?

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

A recipe requires 1 teaspoon of salt. How many milliliters of salt are needed?

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

A person wants to buy a certain amount of fabric. The price is $5 per kilogram. If they need 2 kilograms, how much will they need to pay?

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

A water bottle can hold 1 liter of water. How many cups can it hold?

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

A person wants to buy a certain amount of sugar. The price is $2 per kilogram. If they need 500 grams, how much will they need to pay?

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

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

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

What is the advantage of using a bar scale on a map?

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

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

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

What is the purpose of using a scale on a map when drawing a scaled map from real dimensions?

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

What is the formula to find the scaled measurement from real dimensions?

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

What is the advantage of using a number scale when measuring distances on a map?

<p>It is simpler to use as it requires measuring only one distance (C)</p> Signup and view all the answers

What is the disadvantage of using a bar scale when measuring distances on a map?

<p>It requires measuring the length of one segment and then calculating how many segments fit the measured distance (B)</p> Signup and view all the answers

What is the purpose of understanding how to use scale maps and give clear directions?

<p>To navigate through different environments (B)</p> Signup and view all the answers

What is the definition of a scale of 1:50 on a map?

<p>1 unit on the map represents 50 units in real life (A)</p> Signup and view all the answers

What is the primary purpose of using clear and concise language when providing directions?

<p>To reduce the risk of confusion and misinterpretation (B)</p> Signup and view all the answers

What is the advantage of using a scale of 1:50 on a map?

<p>It enables the representation of large areas on a smaller scale (C)</p> Signup and view all the answers

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

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

What is the purpose of a floor plan?

<p>To show the layout of a building or structure from a top view (D)</p> Signup and view all the answers

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

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

What is the purpose of using symbols in a floor plan?

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

What is the formula for converting measurements on a scale or map?

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

What is the purpose of a seating plan in a cinema or theatre?

<p>To understand the seat numbers and rows (B)</p> Signup and view all the answers

What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

<p>It affects the overall functionality of the space (B)</p> Signup and view all the answers

What is the probability of an event that is impossible to happen?

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

What is the primary purpose of using the acronym BODMAS in calculations?

<p>To follow the correct order of operations when working with numbers and brackets (A)</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 purpose of using a place value table when working with numbers?

<p>To identify the value of each digit in a number (A)</p> Signup and view all the answers

What is the correct way to read and write large numbers?

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

What is the purpose of using a memory key on a calculator?

<p>To display the number stored in memory (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 left (C)</p> Signup and view all the answers

What is the purpose of using a decimal fraction?

<p>To convert fractions to decimals (B)</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 rewrite the linear formula using variables (C)</p> Signup and view all the answers

What is the purpose of using a place value table when working with fractions?

<p>To add and subtract fractions with different denominators (A)</p> Signup and view all the answers

In the formula y = mx + c, what does the variable c represent?

<p>The cost of an item (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 (D)</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 (D)</p> Signup and view all the answers

What is the graph shape of an inverse proportion relationship?

<p>A curve (C)</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 describe the relationship between variables (D)</p> Signup and view all the answers

What is the key difference between theoretical probability and relative frequency?

<p>Theoretical probability is the calculated probability of an event, whereas relative frequency is the actual result of an experiment. (D)</p> Signup and view all the answers

What is the purpose of using tree diagrams in probability?

<p>To visualize all possible outcomes of an event or series of events. (D)</p> Signup and view all the answers

What is the formula for calculating the probability of an event?

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

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

<p>To visualize the outcomes of two events and calculate combined probabilities. (A)</p> Signup and view all the answers

What is the definition of a fair game?

<p>A game where the probability of winning or losing is equal. (D)</p> Signup and view all the answers

What is the purpose of using a decimal comma in South Africa?

<p>To separate whole numbers from decimal fractions. (C)</p> Signup and view all the answers

What is the formula for calculating the relative frequency of an event?

<p>Relative Frequency = Number of times an event occurs / Total number of trials (D)</p> Signup and view all the answers

What is the purpose of using a convention in number formats?

<p>To represent numbers in a standardized way. (B)</p> Signup and view all the answers

What is the purpose of using a place value table?

<p>To identify the value of each digit in a large number. (D)</p> Signup and view all the answers

What is the purpose of arranging numbers in order?

<p>To compare and arrange numbers in a specific order. (B)</p> Signup and view all the answers

What type of graph is used to represent whole numbers, shown by points connected by dotted lines?

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

What is the term for the variable that stands alone and isn't affected by other variables?

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

What is the formula for an inverse proportion, where y is the dependent variable and x is the independent variable?

<p>y = k/x (A)</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 is the term for the graphical representation of distances on a map?

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

What is the formula for a linear relationship, where y is the dependent variable and x is the independent variable?

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

What is the term for the rate of change in a graph?

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

What is the purpose of interpreting graphs in Mathematical Literacy?

<p>To visualize the relationship between two quantities (C)</p> Signup and view all the answers

What is the term for the point where the graph touches the horizontal axis?

<p>X-intercept (D)</p> Signup and view all the answers

What is the purpose of finding patterns and formulas in Mathematical Literacy?

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

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

<p>To understand the relative size of numbers (A)</p> Signup and view all the answers

When multiplying by 10, 100, and 1000, what happens to each digit in the number?

<p>Each digit moves to the left by the number of zeros in the multiplier (C)</p> Signup and view all the answers

What is the purpose of estimating in mathematics?

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

What is the order of operations when using brackets in an expression?

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

How do you convert a decimal fraction to a common fraction?

<p>By converting the decimal to a fraction with a denominator of 10, 100, etc. (B)</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 (C)</p> Signup and view all the answers

What is the purpose of calculating a percentage?

<p>To find the proportion of a part to a whole (C)</p> Signup and view all the answers

What is the definition of a graph?

<p>A diagram showing the relationship between two variables (A)</p> Signup and view all the answers

What is the purpose of using a formula to represent a pattern in a graph?

<p>To identify the pattern in a graph (B)</p> Signup and view all the answers

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