Gr10 Math Lit: June test hard P(2)
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Questions and Answers

What is the convention used in South Africa to separate whole numbers from decimal fractions?

  • Decimal comma (correct)
  • Dash
  • Space
  • Decimal point
  • What type of number is used to represent exact counts?

  • Money Amounts
  • Order Numbers
  • Counting Numbers (correct)
  • Measurements
  • How do you read each group of three digits when writing numbers in words?

  • Read each group individually and name it (correct)
  • Read the entire number at once
  • Start from left to right
  • Start from right to left
  • What is the purpose of a place value table when dealing with large numbers?

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

    How do you arrange numbers in order when comparing them?

    <p>Create a place value table and compare digits starting from the leftmost column</p> Signup and view all the answers

    What is the alternative decimal fraction representation used in some contexts, like in bank statements?

    <p>Decimal point</p> Signup and view all the answers

    What type of number is used to represent financial values?

    <p>Money Amounts</p> Signup and view all the answers

    How do you write large numbers in symbol form to make them easier to read?

    <p>Separate the number into groups of three digits</p> Signup and view all the answers

    What is the correct order of operations when calculations involve brackets and powers?

    <p>Brackets, Orders, Division, Multiplication</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</p> Signup and view all the answers

    What is the function of the MRC key on a calculator?

    <p>Displays the number stored in memory</p> Signup and view all the answers

    How do you multiply a number by 10?

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

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

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

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

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

    How do you arrange numbers in order from smallest to largest?

    <p>Write the numbers in a table with place value columns</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</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</p> Signup and view all the answers

    What is the primary purpose of estimating in mathematics?

    <p>To think about a problem before solving it and assist in checking the accuracy of answers</p> Signup and view all the answers

    When using a calculator, what is the function of the memory keys?

    <p>To store and recall numbers during calculations</p> Signup and view all the answers

    What is the correct order of operations when evaluating expressions with brackets and powers?

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

    What is the result of multiplying 24 by 100?

    <p>2400</p> Signup and view all the answers

    What is the definition of a mixed number?

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

    How do you convert a fraction to a decimal fraction?

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

    What is the definition of opposite numbers?

    <p>Numbers with the same value but opposite signs</p> Signup and view all the answers

    When rounding a number to the nearest ten, what happens if the units digit is 5?

    <p>The number rounds up</p> Signup and view all the answers

    What is the definition of a rate?

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

    What is the purpose of identifying patterns in graphs?

    <p>To identify trends and make predictions</p> Signup and view all the answers

    What is the primary purpose of using graphs in Mathematical Literacy?

    <p>To visualize the relationship between two quantities and make it easier to understand data</p> Signup and view all the answers

    What does a steep slope on a graph indicate?

    <p>A faster rate of change</p> Signup and view all the answers

    What type of graph would be used to represent the number of passengers on a bus?

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

    What is the formula for an inverse proportion?

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

    What is the y-intercept of a linear graph?

    <p>The point where the graph touches the y-axis when x = 0</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To develop a formula to describe the pattern</p> Signup and view all the answers

    What is the dependent variable in a graph?

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

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

    <p>To identify the starting value of the dependent variable</p> Signup and view all the answers

    What is the formula for a linear pattern?

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

    What is the first step to plot points on a grid?

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

    What is the formula to describe a linear relationship?

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

    What is the conversion factor for 1 kilometer to meters?

    <p>1000</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

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

    What is the formula to describe an inverse proportion relationship?

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

    What is the conversion factor for 1 liter to milliliters?

    <p>1000</p> Signup and view all the answers

    What is the formula to convert kilometers to meters?

    <p>Length in m = Length in km × 1000</p> Signup and view all the answers

    What is the formula to convert cups to milliliters?

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

    What is the formula to convert kilograms to grams?

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

    What is the formula to convert milliliters to liters?

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

    What is the formula to convert teaspoons to milliliters?

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

    What is the conversion factor to convert teaspoons to milliliters?

    <p>1 tsp = 5 ml</p> Signup and view all the answers

    What is the formula to calculate the total cost of a material, given the length needed and the price per meter?

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

    What is the device used to measure the distance traveled by a vehicle?

    <p>Odometer</p> Signup and view all the answers

    What is the key conversion in measuring mass or weight?

    <p>1 tonne = 1000 kg</p> Signup and view all the answers

    What is the formula to calculate the total cost of a material, given the volume needed and the price per liter?

    <p>Total Cost = Volume Needed × Price per Liter</p> Signup and view all the answers

    What is the definition of scale in the context of maps and plans?

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

    What is the formula to calculate the real distance, given the measured distance on a map and the scale factor?

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

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

    <p>Analogue Thermometer</p> Signup and view all the answers

    What is the key point about water at sea level?

    <p>Water freezes at 0°C and boils at 100°C</p> Signup and view all the answers

    What is the formula to calculate the real distance, given the measured distance on a map and the bar scale?

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

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

    <p>To accurately measure the length or width of objects</p> Signup and view all the answers

    Which of the following is a disadvantage of using a number scale?

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

    How do you calculate the real distance using a bar scale?

    <p>Measure the length of one segment, calculate how many segments fit the measured distance, and multiply by the scale distance</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</p> Signup and view all the answers

    How do you draw a scaled map from real dimensions?

    <p>By knowing the scale to be used and the actual measurements</p> Signup and view all the answers

    What is the purpose of using a scale when drawing a room?

    <p>To provide a proportional representation of the room</p> Signup and view all the answers

    What is the formula to calculate the scaled measurement?

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

    What is the purpose of using a scale in maps and plans?

    <p>To accurately interpret and navigate through different environments</p> Signup and view all the answers

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

    <p>1</p> Signup and view all the answers

    What is the purpose of using tree diagrams in probability?

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

    What is the definition of a scale in a map?

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

    What is the definition of an event in probability?

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

    What is the purpose of using the complement of an event in probability?

    <p>To calculate the probability of the event not occurring</p> Signup and view all the answers

    What is the definition of a fair game in probability?

    <p>A game with an equal chance of winning or losing</p> Signup and view all the answers

    What is the purpose of using weather predictions in probability?

    <p>To analyze past weather data to make predictions</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)</p> Signup and view all the answers

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

    <p>To make predictions about the likelihood of an event occurring</p> Signup and view all the answers

    What is the primary purpose of identifying patterns in graphs?

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

    What does a steep slope on a graph indicate?

    <p>A quicker rate of change</p> Signup and view all the answers

    What is the formula for an inverse proportion?

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

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

    <p>To indicate the starting value of the dependent variable or when the dependent variable has reached zero</p> Signup and view all the answers

    What is the formula for a linear relationship?

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

    What type of graph would be used to represent the number of passengers on a bus?

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

    What is the dependent variable in a graph?

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

    What is the first step to plot points on a grid?

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

    What is the formula to describe an inverse proportion relationship?

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

    What is the primary function of a place value table?

    <p>To determine the value of each digit in a large number</p> Signup and view all the answers

    Which type of number is used to represent lengths and masses?

    <p>Measurements</p> Signup and view all the answers

    What is the purpose of separating numbers into groups of three digits when writing in words?

    <p>To read each group individually and name it</p> Signup and view all the answers

    What is the primary purpose of using number formats and conventions?

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

    What is the formula for decimal fraction representation in South Africa?

    <p>Decimal comma (e.g., 1 000 000,00)</p> Signup and view all the answers

    What is the purpose of using different number formats in various contexts?

    <p>To represent different types of numbers</p> Signup and view all the answers

    What is the purpose of comparing numbers column by column from left to right when arranging in order?

    <p>To compare the place value of each digit</p> Signup and view all the answers

    What is the purpose of using codes in number representations?

    <p>To provide a unique identification number</p> Signup and view all the answers

    What is the volume in milliliters of 3 teaspoons?

    <p>15 ml</p> Signup and view all the answers

    What is the weight in kilograms of 2500 grams?

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

    What is the temperature in degrees Celsius at which water boils at sea level?

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

    What is the scale factor of a map with a scale of 1:200?

    <p>1/200</p> Signup and view all the answers

    What is the total cost of a material that costs $5 per meter, if you need 8 meters of it?

    <p>$40</p> Signup and view all the answers

    What is the volume in liters of 2000 milliliters?

    <p>2 L</p> Signup and view all the answers

    What is the distance in meters of 5 kilometers?

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

    What is the formula to convert teaspoons to milliliters?

    <p>Volume in ml = Volume in tsp x 5</p> Signup and view all the answers

    What is the weight in grams of 2 kilograms?

    <p>4000 g</p> Signup and view all the answers

    What is the primary purpose of understanding the order of operations when evaluating expressions with brackets and powers?

    <p>To avoid calculation errors</p> Signup and view all the answers

    What is the temperature in degrees Celsius of the normal human body temperature?

    <p>37°C</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

    <p>Shift each digit three places to the left</p> Signup and view all the answers

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

    <p>Find a common denominator and then add</p> Signup and view all the answers

    What is the purpose of grouping when multiplying large numbers?

    <p>To break down the numbers into smaller parts</p> Signup and view all the answers

    What is the definition of a rate?

    <p>A comparison of two quantities with different units</p> Signup and view all the answers

    What is the correct way to divide fractions?

    <p>Multiply the fraction by its reciprocal</p> Signup and view all the answers

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

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

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

    <p>To store and recall numbers</p> Signup and view all the answers

    What is the definition of opposite numbers?

    <p>Numbers with the same absolute value but opposite signs</p> Signup and view all the answers

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

    <p>It is simpler to use and requires only one measurement.</p> Signup and view all the answers

    If a map has a scale of 1:50, what does this mean?

    <p>1 unit on the map equals 50 units in reality.</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</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.</p> Signup and view all the answers

    How do you draw a scaled map from real dimensions?

    <p>Know the actual measurements of everything to be included and the scale to be used.</p> Signup and view all the answers

    What is the formula to find the scaled measurement when drawing a scaled map?

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

    What is the purpose of using scales in maps?

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

    What is the purpose of measuring the length of one segment in a bar scale?

    <p>To calculate how many segments fit the measured distance.</p> Signup and view all the answers

    What is the main advantage of estimating answers to calculations?

    <p>To check the accuracy of answers</p> Signup and view all the answers

    A bakery sells 240 loaves of bread per day. If they want to package 12 loaves per box, how many boxes will they need?

    <p>24 boxes</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</p> Signup and view all the answers

    What is the result of multiplying 3/4 by 2/3?

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

    What is the difference between theoretical probability and relative frequency?

    <p>Theoretical probability is based on calculated probability, while relative frequency is based on actual results</p> Signup and view all the answers

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

    <p>To show the probability of combined outcomes</p> Signup and view all the answers

    A car travels 250 km in 5 hours. What is its unit rate in km/h?

    <p>50 km/h</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</p> Signup and view all the answers

    What is the value of x in the proportion 3/4 = x/12?

    <p>9</p> Signup and view all the answers

    A graph shows the relationship between the number of hours studied and the score on a test. What type of relationship is displayed?

    <p>Linear relationship</p> Signup and view all the answers

    What is the definition of an outcome in probability?

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

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

    <p>To convert real measurements to scale dimensions</p> Signup and view all the answers

    What is the result of rounding 47 to the nearest ten?

    <p>40</p> Signup and view all the answers

    What is the definition of a fair game in probability?

    <p>A game that has an equal chance of winning or losing</p> Signup and view all the answers

    A water bottle can hold 2 liters of water. If 1.5 liters are already in the bottle, what percentage of the bottle is full?

    <p>75%</p> Signup and view all the answers

    What is the result of dividing 3.25 by 0.5?

    <p>6.5</p> Signup and view all the answers

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

    <p>To show the probability of combined outcomes</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)</p> Signup and view all the answers

    A bakery sells a cake for R250. If a 15% discount is applied, how much will the customer pay?

    <p>R212.50</p> Signup and view all the answers

    What is the purpose of using weather predictions in probability?

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

    What is the correct conversion factor for 1000 meters to kilometers?

    <p>1000 m = 1 km</p> Signup and view all the answers

    What is the formula to convert milliliters to liters?

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

    What is the correct conversion factor for 1 kilogram to grams?

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

    What is the formula to convert cups to milliliters?

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

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

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

    What is the correct conversion factor for 1 liter to milliliters?

    <p>1 l = 1000 ml</p> Signup and view all the answers

    What is the formula to convert kilograms to grams?

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

    What is the correct formula to describe a linear relationship?

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

    What is the conversion factor for 1 tonne to kilograms?

    <p>1 t = 1000 kg</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

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

    What is the primary advantage of estimating answers to calculations?

    <p>To check the accuracy of the answer</p> Signup and view all the answers

    What is the purpose of the BODMAS rule?

    <p>To perform calculations in a specific order</p> Signup and view all the answers

    What is the definition of an improper fraction?

    <p>A fraction with a numerator greater than the denominator</p> Signup and view all the answers

    What is the purpose of using a graph in Mathematical Literacy?

    <p>To identify patterns in data</p> Signup and view all the answers

    What is the result of dividing 24 by -3?

    <p>-8</p> Signup and view all the answers

    What is the definition of a rate?

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

    What is the purpose of using percentages?

    <p>To compare values and find increases or decreases</p> Signup and view all the answers

    What is the result of rounding 47 to the nearest ten?

    <p>50</p> Signup and view all the answers

    What is the definition of a continuous graph?

    <p>A graph that represents measurements that can take any value within a range</p> Signup and view all the answers

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

    <p>Brackets, Powers, Division</p> Signup and view all the answers

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

    <p>Zero</p> Signup and view all the answers

    What is the purpose of breaking down large numbers into smaller parts when multiplying?

    <p>To make the calculation more efficient</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</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</p> Signup and view all the answers

    What is the result of multiplying a number by 1000?

    <p>The number is shifted three places to the left</p> Signup and view all the answers

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

    <p>To compare the numbers more easily</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</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

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

    What is the result of multiplying a number by -1?

    <p>The number becomes negative</p> Signup and view all the answers

    What is the primary purpose of using place value tables in number representations?

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

    Which type of number is used to represent the position of an item in a sequence?

    <p>Order numbers</p> Signup and view all the answers

    What is the purpose of separating numbers into groups of three digits when writing in words?

    <p>To make the number easier to read</p> Signup and view all the answers

    Which of the following is an example of a code?

    <p>A bank account number</p> Signup and view all the answers

    What is the purpose of using decimal commas in South African number formats?

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

    Which of the following is a correct way to write the number 1 000 000 in words?

    <p>One million</p> Signup and view all the answers

    What is the primary purpose of using percentages in number representations?

    <p>To represent rates</p> Signup and view all the answers

    Which of the following is a correct way to arrange numbers in order from smallest to largest?

    <p>Create a place value table and compare digits from left to right</p> Signup and view all the answers

    What type of graph would be used to represent the distance traveled by an object over time?

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

    What is the slope of a linear graph indicating?

    <p>Rate of change of the dependent variable</p> Signup and view all the answers

    What is the primary purpose of identifying patterns in graphs?

    <p>To understand the relationship between variables</p> Signup and view all the answers

    What does a horizontal axis represent in a graph?

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

    What is the formula for a linear pattern?

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

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

    <p>To determine the starting value of the dependent variable and when it reaches zero</p> Signup and view all the answers

    What type of relationship is represented by a curve on a graph?

    <p>Inverse proportion</p> Signup and view all the answers

    What is the formula for an inverse proportion?

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

    What is the dependent variable in a graph?

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

    What is the purpose of identifying patterns in data?

    <p>To understand the relationship between variables</p> Signup and view all the answers

    What is the formula to convert kilometers to meters?

    <p>$1 kilometer = 1000 meters$</p> Signup and view all the answers

    What is the formula to convert milliliters to liters?

    <p>$1 liter = 1000 milliliters$</p> Signup and view all the answers

    What is the conversion factor for 1 kilogram to grams?

    <p>1 kilogram = 1000 grams</p> Signup and view all the answers

    What is the formula to describe a linear relationship?

    <p>$y = mx + c$</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters?

    <p>$1 teaspoon = 5 milliliters$</p> Signup and view all the answers

    What is the formula to describe an inverse proportion relationship?

    <p>$y = \frac{k}{x}$</p> Signup and view all the answers

    What is the conversion factor for 1 liter to milliliters?

    <p>1 liter = 1000 milliliters</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

    <p>$1 gram = 1000 milligrams$</p> Signup and view all the answers

    What is the formula to convert cups to milliliters?

    <p>$1 cup = 250 milliliters$</p> Signup and view all the answers

    What is the formula to describe a linear pattern?

    <p>$y = mx + c$</p> Signup and view all the answers

    What is the purpose of measuring length, weight, volume, and temperature?

    <p>To carry out various tasks such as cooking, baking, and planning</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters?

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

    What is the purpose of an odometer?

    <p>To measure the distance travelled by a vehicle</p> Signup and view all the answers

    What is the formula to calculate the total cost of material, given the weight needed and the price per kilogram?

    <p>Total Cost = Weight Needed × Price per Kilogram</p> Signup and view all the answers

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

    <p>To convert measured distances on the map to real-world distances</p> Signup and view all the answers

    What is the formula to convert milliliters to liters?

    <p>Volume in liters = Volume in ml ÷ 1000</p> Signup and view all the answers

    What is the purpose of a trundle wheel?

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

    What is the formula to convert kilograms to grams?

    <p>Mass in grams = Mass in kg × 1000</p> Signup and view all the answers

    What is the purpose of a kitchen scale?

    <p>To measure the mass of small quantities of food</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters, given that 1 teaspoon is equal to 5 milliliters?

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

    What is the purpose of using scales in maps?

    <p>To provide a clear and concise representation of distances</p> Signup and view all the answers

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

    <p>A floor plan shows the layout of a room, while a seating plan shows the arrangement of seats</p> Signup and view all the answers

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

    <p>1</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</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</p> Signup and view all the answers

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

    <p>A fair game is not weighted to favor one player, while an unfair game is</p> Signup and view all the answers

    What is the purpose of predicting the weather?

    <p>To make accurate predictions of future weather events</p> Signup and view all the answers

    What is the formula for the complement of an event?

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

    What is the primary purpose of using scale maps?

    <p>To describe the position of objects and navigate through different environments</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</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</p> Signup and view all the answers

    How do you draw a scaled map from real dimensions?

    <p>Know the actual measurements and the scale to be used</p> Signup and view all the answers

    What is the formula to calculate the scaled measurement?

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

    What is the purpose of using a scale?

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

    What is the advantage of using a number scale?

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

    What is the purpose of interpreting directional instructions?

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

    What is the formula to convert teaspoons to milliliters?

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

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

    <p>Odometer</p> Signup and view all the answers

    What is the formula to calculate the total cost of a material, given the weight needed and the price per kilogram?

    <p>Total Cost = Weight Needed × Price per Kilogram</p> Signup and view all the answers

    What is the conversion factor for 1 liter to milliliters?

    <p>1 L = 1000 ml</p> Signup and view all the answers

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

    <p>Analogue Thermometer</p> Signup and view all the answers

    What is the formula to convert kilograms to grams?

    <p>Mass in g = Mass in kg × 1000</p> Signup and view all the answers

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

    <p>Measuring Cup</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</p> Signup and view all the answers

    What is the conversion factor for 1 tonne to kilograms?

    <p>1 tonne = 1000 kg</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</p> Signup and view all the answers

    What is the purpose of identifying patterns in graphs?

    <p>To understand the story that the graph is telling</p> Signup and view all the answers

    What does a steep slope on a graph indicate?

    <p>A quicker rate of change</p> Signup and view all the answers

    What type of graph would be used to represent the number of passengers on a bus?

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

    What is the formula for an inverse proportion?

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

    What is the y-intercept of a linear graph?

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

    What is the purpose of identifying patterns in data?

    <p>To understand the story that the data is telling</p> Signup and view all the answers

    What is the dependent variable in a graph?

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

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

    <p>To identify the starting value of the dependent variable</p> Signup and view all the answers

    What is the formula for a linear pattern?

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

    What is the first step to plot points on a grid?

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

    What is the main purpose of using the BODMAS rule in calculations?

    <p>To ensure calculations are performed in the correct order</p> Signup and view all the answers

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

    <p>Zero</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</p> Signup and view all the answers

    What happens when you multiply a number by 1000?

    <p>The number is shifted three places to the right</p> Signup and view all the answers

    What is the purpose of breaking down numbers into smaller parts when multiplying?

    <p>To make the calculation simpler and more manageable</p> Signup and view all the answers

    What is the correct scale for a room that is 3m x 4.5m with a scale of 1:50?

    <p>6 cm x 9 cm</p> Signup and view all the answers

    What is the result of multiplying two fractions?

    <p>A product of the numerators and denominators</p> Signup and view all the answers

    What is the purpose of using brackets in calculations?

    <p>To indicate the order of operations</p> Signup and view all the answers

    Which of the following is an example of a floor plan?

    <p>A diagram of a building including measurements and furniture</p> Signup and view all the answers

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

    <p>1</p> Signup and view all the answers

    What is the definition of a rate?

    <p>A comparison of two quantities</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</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)</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</p> Signup and view all the answers

    What is the result of subtracting a number from its opposite?

    <p>Twice the original number</p> Signup and view all the answers

    What is the complement of an event E?

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

    What is the definition of a fair game?

    <p>A game that has an equal chance of winning or losing</p> Signup and view all the answers

    What is the purpose of using relative frequency in probability?

    <p>To calculate the actual result of an experiment</p> Signup and view all the answers

    What is the definition of an outcome?

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

    What is the purpose of weather predictions?

    <p>To make predictions about the weather based on past data</p> Signup and view all the answers

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

    <p>To accurately measure the distance between objects on the map</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 and requires only one measurement</p> Signup and view all the answers

    What is the formula to calculate the real distance from a measurement on a map using a number scale?

    <p>Real Distance = Measured Distance on Map x Scale Factor</p> Signup and view all the answers

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

    <p>It is more accurate when the map is resized</p> Signup and view all the answers

    What is the formula to calculate the real distance from a measurement on a map using a bar scale?

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

    What is the purpose of drawing a scaled map?

    <p>To represent real-world dimensions in a smaller format</p> Signup and view all the answers

    What is the formula to draw a scaled map from real dimensions?

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

    What is the importance of understanding scales in maps?

    <p>It helps in navigating through different environments</p> Signup and view all the answers

    What is the primary purpose of using number and bar scales in maps?

    <p>To accurately measure the distance between objects on the map</p> Signup and view all the answers

    What is the advantage of using scales in maps?

    <p>It allows for accurate measurement of distances and sizes</p> Signup and view all the answers

    What is the formula to convert milliliters to liters?

    <p>$$ ext{Volume in l} = ext{Volume in ml} imes 10$$</p> Signup and view all the answers

    What is the formula to describe a linear relationship?

    <p>$$y = mx + c$$</p> Signup and view all the answers

    What is the conversion factor to convert kilometers to meters?

    <p>1000 meters = 1 kilometer</p> Signup and view all the answers

    What is the formula to convert centimeters to millimeters?

    <p>$$ ext{Length in mm} = ext{Length in cm} imes 10$$</p> Signup and view all the answers

    What is the formula to describe an inverse proportion relationship?

    <p>$$y = rac{k}{x}$$</p> Signup and view all the answers

    What is the formula to convert kilograms to grams?

    <p>$$ ext{Weight in g} = ext{Weight in kg} imes 1000$$</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters?

    <p>$$ ext{Volume in ml} = ext{Volume in tsp} imes 15$$</p> Signup and view all the answers

    What is the formula to convert cups to milliliters?

    <p>$$ ext{Volume in ml} = ext{Volume in cups} imes 250$$</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

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

    What is the formula to convert liters to milliliters?

    <p>$$ ext{Volume in ml} = ext{Volume in l} imes 1000$$</p> Signup and view all the answers

    What is the primary purpose of using place value when working with large numbers?

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

    Which of the following is an example of a code?

    <p>A phone number.</p> Signup and view all the answers

    What is the correct format for writing large numbers in symbol form?

    <p>Separate numbers into groups of three digits with spaces.</p> Signup and view all the answers

    What is the purpose of using a place value table when arranging numbers in order?

    <p>To compare numbers column by column from left to right.</p> Signup and view all the answers

    Which of the following is an example of a percentage?

    <p>A rate of 25% per annum.</p> Signup and view all the answers

    What is the correct way to write the number 1 000 000 in words?

    <p>One million.</p> Signup and view all the answers

    What is the purpose of using different number formats in different contexts?

    <p>To make numbers easier to read and understand.</p> Signup and view all the answers

    Which of the following is an example of an order number?

    <p>A position in a queue, such as 5th.</p> Signup and view all the answers

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

    <p>To change a positive number to a negative number or vice versa</p> Signup and view all the answers

    What is the correct order of operations when evaluating expressions involving brackets and powers?

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

    What is the primary purpose of using estimations in mathematics?

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

    What is the result of multiplying 23 by 1000?

    <p>230000</p> Signup and view all the answers

    What is the definition of an improper fraction?

    <p>A fraction with a numerator greater than the denominator</p> Signup and view all the answers

    What is the purpose of using ratio and proportion in mathematics?

    <p>All of the above</p> Signup and view all the answers

    What is the definition of a discrete graph?

    <p>A graph representing whole numbers, shown by points connected by dotted lines</p> Signup and view all the answers

    What is the purpose of using a place value table when dealing with large numbers?

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

    What is the result of converting the percentage 25% to a fraction?

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

    What is the purpose of identifying patterns in graphs?

    <p>To make predictions about future data</p> Signup and view all the answers

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