Gr10 Math Lit: June test mix P(2)

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Questions and Answers

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

  • Dash
  • Space
  • Decimal point
  • Decimal comma (correct)

What type of number is used to represent exact counts?

  • Order Number
  • Counting Number (correct)
  • Measurement
  • Percentage

How do you write a large number in words?

  • Read the number from right to left
  • Separate the number into groups of three digits from right to left (correct)
  • Separate the number into groups of two digits from right to left
  • Read the number from left to right

What is the purpose of a place value table?

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

How do you arrange numbers in order?

<p>Create a place value table and compare the numbers column by column from left to right (A)</p> Signup and view all the answers

What type of number is used to represent financial values?

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

What is the alternative format used to separate whole numbers from decimal fractions?

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

What is the purpose of separating numbers into groups of three digits?

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

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

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

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

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

What is the purpose of using a place value table?

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

How do you multiply a number by 10?

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

What is a common fraction?

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

What is the purpose of converting fractions to decimal fractions?

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

When arranging numbers in order, what is the first step?

<p>Draw a table with place value columns (A)</p> Signup and view all the answers

What is the independent variable in a graph?

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

What does the horizontal axis in a graph represent?

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

What type of graph shows a rise in values?

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

What is the formula for a linear relationship?

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

What type of graph shows a curve?

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

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

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

What is the formula for an inverse proportion?

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

What is the purpose of a graph in Mathematical Literacy?

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

What type of graph represents whole numbers?

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

What is the slope of a line in a linear relationship?

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

What is the formula to describe a linear relationship?

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

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

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

What is the formula to convert milliliters to liters?

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

What is the formula to describe an inverse proportion relationship?

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

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

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

What is the formula to convert grams to kilograms?

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

What is the formula to convert cups to milliliters in cooking?

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

What is the unit of weight that is equal to 1000 kilograms?

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

How do you plot a point on a graph?

<p>Write the point as an ordered pair (x, y) (C)</p> Signup and view all the answers

What is the formula to convert milligrams to grams?

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

What is the formula to convert tsp to ml?

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

What is the instrument used to measure distance in meters?

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

What is the conversion for 1 tonne?

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

What is the capacity of a standard measuring cup?

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

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

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

What is the formula to calculate the total cost of an item?

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

What is the definition of a scale in a map?

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

What type of scale is expressed as a ratio (e.g., 1:50)?

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

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

<p>For various tasks such as cooking, baking, planning projects, and managing finances (D)</p> Signup and view all the answers

What is the definition of a map's scale?

<p>A ratio representing the actual distance on the map to the real distance in reality (B)</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 (A)</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 x Scale Factor (C)</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 (C)</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) x Distance Represented by One Segment (A)</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 (A)</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 (A)</p> Signup and view all the answers

What is the purpose of measuring the length or width of objects on the map?

<p>To use the scale to calculate actual dimensions (D)</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 then calculating how many segments fit the measured distance (B)</p> Signup and view all the answers

What is the purpose of using scales in maps?

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

What does the scale 1:50 represent in 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 purpose of providing clear and concise language when giving directions?

<p>To ensure the person knows the exact route to take (A)</p> Signup and view all the answers

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

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

What is the theoretical probability of getting heads in a coin toss?

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

What is the purpose of a tree diagram in probability?

<p>To show all possible outcomes of an event (A)</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 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 floor plan?

<p>To show the location of furniture and other elements in a room (B)</p> Signup and view all the answers

What is the difference between a fair and unfair game?

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

What is the purpose of predicting the weather?

<p>To make informed decisions based on the likelihood of certain weather conditions (A)</p> Signup and view all the answers

What is the purpose of estimating in maths?

<p>To think about a problem before solving it (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 a proper fraction?

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

What is a negative number?

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

When rounding a number to the nearest 10, what happens to numbers with units digits 1-4?

<p>They round down to the previous 10 (C)</p> Signup and view all the answers

What is a ratio?

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

How do you calculate a percentage?

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

What is a feature of a decreasing graph?

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

What is a discrete graph?

<p>A graph that represents whole numbers, shown by points connected by dotted lines (C)</p> Signup and view all the answers

What is the main purpose of estimating in mathematical calculations?

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

Which of the following is an example of a mixed number?

<p>2 1/3 (A)</p> Signup and view all the answers

When multiplying a number by 10, what happens to the digits?

<p>They shift to the left by one place (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

When rounding a number to the nearest 10, what do you do with numbers with units digits 1-4?

<p>Round down to the previous 10 (C)</p> Signup and view all the answers

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

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

What is the purpose of a graph in Mathematical Literacy?

<p>To show patterns and relationships (B)</p> Signup and view all the answers

What type of graph shows a decrease in values?

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

What is the formula to simplify a ratio?

<p>Divide both terms by their greatest common divisor (B)</p> Signup and view all the answers

What is the definition of a proportion?

<p>A relationship indicating that two ratios are equal (C)</p> Signup and view all the answers

What is the purpose of using BODMAS when performing calculations?

<p>To ensure the order of operations is followed (B)</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 (D)</p> Signup and view all the answers

What is the definition of a mixed number?

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

What is the purpose of using a calculator's memory functions?

<p>To store and recall numbers for calculations (D)</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 result of adding a number and its opposite?

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

What is the purpose of converting between fractions and decimals?

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

What is the definition of a ratio?

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

What is the purpose of separating numbers into groups of three digits?

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

What is the purpose of estimating answers to calculations?

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

What is the purpose of separating numbers into groups of three digits in number formats?

<p>To make the number more readable (A)</p> Signup and view all the answers

Which type of number is used to represent rates?

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

What is the benefit of using place value tables when working with large numbers?

<p>It helps to identify the place value of each digit (A)</p> Signup and view all the answers

What is the purpose of using codes in number formats?

<p>For identification purposes (D)</p> Signup and view all the answers

What is the format for writing money amounts in South Africa?

<p>R 1 000 000,00 (A)</p> Signup and view all the answers

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

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

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

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

What is the purpose of reading and writing large numbers in symbol form?

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

What is the purpose of a graph in Mathematical Literacy?

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

What type of graph represents a relationship where one quantity increases as the other decreases?

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

What is the formula for a linear relationship?

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

What is the 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 identifying patterns in a graph?

<p>To develop a rule or formula to describe the pattern (C)</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 does the vertical axis in a graph represent?

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

What type of graph shows a rise in values?

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

What is the purpose of finding the slope of a line in a linear relationship?

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

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

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

What is the formula to convert millimeters to centimeters?

<p>Length in cm = Length in mm ÷ 10 (D)</p> Signup and view all the answers

Which of the following is an example of an inverse proportion relationship?

<p>A graph that forms a curve (A)</p> Signup and view all the answers

What is the formula to convert kilograms to grams?

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

What is the formula to convert litres to kilolitres?

<p>Volume in kl = Volume in l ÷ 1000 (A)</p> Signup and view all the answers

What is the formula to convert teaspoons to millilitres?

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

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

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

What is the formula to convert cups to millilitres?

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

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

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

What is the formula to convert milligrams to grams?

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

What is the unit of weight that is equal to 1000 kilograms?

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

What is the instrument used to measure distance in centimetres and meters?

<p>Ruler (B), Measuring Tape (D)</p> Signup and view all the answers

What is the unit of weight that is equal to 1000 grams?

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

What is the formula to convert teaspoons to milliliters?

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

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

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

What is the purpose of a scale in a map?

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

What is the capacity of a standard measuring cup?

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

What is the conversion for 1 tonne?

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

What is the formula to calculate the total cost of an item?

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

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

<p>To perform various tasks such as cooking, baking, planning projects, and managing finances (A)</p> Signup and view all the answers

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

<p>To accurately represent the distance between objects on the map (B)</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 (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 (A)</p> Signup and view all the answers

What is the first step in drawing a scaled map from real dimensions?

<p>Know the actual measurements of everything to be included (A)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

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

What is the formula to calculate the scaled measurement?

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

What is the purpose of using scales on maps?

<p>To accurately interpret and navigate maps (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 expressed as a segmented bar (A)</p> Signup and view all the answers

What is the advantage of using a number scale?

<p>It is easier to calculate distances (C)</p> Signup and view all the answers

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

<p>To make informed decisions in everyday life (D)</p> Signup and view all the answers

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

<p>To help the listener navigate efficiently (A)</p> Signup and view all the answers

What is the range of a probability scale?

<p>0 to 1 (C)</p> Signup and view all the answers

What is the purpose of using symbols in floor plans?

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

What is the definition of a fair game?

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

What is the purpose of using 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 to calculate the probability of an event?

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

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

<p>To represent a larger area in a smaller space (D)</p> Signup and view all the answers

What is the definition of an event?

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

What is the purpose of using relative frequency?

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

What is the purpose of using weather predictions?

<p>To make accurate predictions about the weather (D)</p> Signup and view all the answers

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

<p>To make the number more readable (D)</p> Signup and view all the answers

What is the main difference between the decimal fraction representation used in South Africa and the alternative format?

<p>The symbol used to separate whole numbers from decimal fractions (C)</p> Signup and view all the answers

What is the purpose of a place value table?

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

What type of number is used to represent rates?

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

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

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

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

<p>To make the number easier to understand in a specific context (A)</p> Signup and view all the answers

What is the result of using a decimal comma to separate whole numbers from decimal fractions in a number?

<p>The number becomes more readable (C)</p> Signup and view all the answers

What is the main advantage of using a specific number format in a particular context?

<p>It makes the number easier to understand (D)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations in mathematics?

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

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

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

What is the purpose of estimating in calculations?

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

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

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

What is the result of multiplying a number by 100?

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

What is the correct order of operations when using brackets and orders?

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

What is the result of multiplying a number by 100?

<p>Add two zeros to the end of the number (C)</p> Signup and view all the answers

What type of fraction is a numerator that is larger than the denominator?

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

What is the definition of a proper fraction?

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

What is the purpose of using a common denominator when adding or subtracting fractions?

<p>To enable the addition or subtraction of fractions (C)</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 (B)</p> Signup and view all the answers

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

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

What is the purpose of using ratios in mathematical literacy?

<p>To compare two numbers of the same type (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 definition of a linear relationship?

<p>A relationship where the graph shows a straight line (C)</p> Signup and view all the answers

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

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

What is the purpose of using graphs in mathematical literacy?

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

What is the advantage of using a number format like 1 234 567 instead of 1234567?

<p>It makes the number easier to read (C)</p> Signup and view all the answers

What is the definition of a discrete graph?

<p>A graph that represents whole numbers, shown by points connected by dotted lines (A)</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 main difference between an independent variable and a dependent variable?

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

What does a steep slope on a graph indicate?

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

What type of graph is used to represent whole numbers?

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

What is the purpose of identifying patterns in a graph?

<p>To develop a rule to describe the pattern. (A)</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 vertical axis (y-axis) represent in a graph?

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

What is the purpose of interpreting graphs?

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

What is the formula for an inverse proportion?

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

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

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

What type of graph shows a decline in values?

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

What is the purpose of using the general formula in a sequence?

<p>To find the value of a specific term in the sequence (B)</p> Signup and view all the answers

What is the formula to convert centimeters to meters?

<p>Length in m = Length in cm / 100 (B)</p> Signup and view all the answers

What is the graph that represents a linear relationship?

<p>A straight line (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 purpose of converting between units of measurement?

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

What is the formula to convert milliliters to liters?

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

What is the graph that represents an inverse proportion relationship?

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

What is the formula to convert cups to milliliters in cooking?

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

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

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

What is the formula to convert teaspoons to milliliters?

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

What is the conversion rate from teaspoons to milliliters?

<p>1 teaspoon = 5 ml (B)</p> Signup and view all the answers

What instrument is used to measure distance in meters?

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

What is the conversion for 1 tonne?

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

What is the purpose of a map's scale?

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

What is the formula to calculate the total cost of an item?

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

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

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

What type of scale is expressed as a ratio (e.g., 1:50)?

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

What is the capacity of a standard measuring cup?

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

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

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

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

<p>To perform various tasks such as cooking, baking, and planning projects (D)</p> Signup and view all the answers

What is the purpose of a scale in a map?

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

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

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

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

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

What is the term for the actual result of an experiment?

<p>Relative frequency (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 or series of events (D)</p> Signup and view all the answers

What is the term for a collection of one or more outcomes?

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

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

<p>To identify common elements like toilets and lifts (C)</p> Signup and view all the answers

What is the term for the number of times something happens?

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

What is the purpose of weather predictions?

<p>To analyse past weather data (D)</p> Signup and view all the answers

What is the purpose of a scale in a map?

<p>To represent the distance on the map to the actual distance in real life (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 advantage of using a bar scale?

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

What is a disadvantage of using a number scale?

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

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

<p>To understand and interpret maps and plans (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 (C)</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 (C)</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 (A)</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 (A)</p> Signup and view all the answers

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

<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 breaking down large numbers into smaller parts in multiplication?

<p>To simplify the calculation and make it easier to perform (C)</p> Signup and view all the answers

What is the main difference between the decimal fraction representation used in South Africa and the alternative format?

<p>The use of a decimal point instead of a decimal comma (A)</p> Signup and view all the answers

What type of number is used to represent a rate or proportion?

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

What is the result of multiplying two fractions together?

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

What is the purpose of grouping numbers in addition and multiplication?

<p>To make the calculation easier to perform (D)</p> Signup and view all the answers

When writing a large number in words, what is the first step?

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

What is the correct order of operations when performing calculations with brackets and orders?

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

What is the purpose of separating numbers into groups of three digits?

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

What is the purpose of converting fractions to decimal fractions?

<p>To make the fraction easier to compare and perform calculations (B)</p> Signup and view all the answers

What is the primary purpose of using decimal fractions in number representations?

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

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

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

What is the relationship between a place value table and the ordering of numbers?

<p>A place value table is used to compare and order numbers (C)</p> Signup and view all the answers

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

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

What is the main difference between a decimal comma and a decimal point?

<p>The decimal comma is used in South Africa, while the decimal point is used in the US (C)</p> Signup and view all the answers

What is the correct way to multiply a number by 100?

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

What is the purpose of estimating answers to calculations?

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

What is the correct way to arrange numbers in order from smallest to largest?

<p>Compare from the leftmost column (D)</p> Signup and view all the answers

What is the main difference between dependent and independent variables in a graph?

<p>Dependent variables are affected by other variables, while independent variables are not. (A)</p> Signup and view all the answers

What does the steepness of a graph indicate?

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

What type of graph represents a linear relationship?

<p>Continuous graph with a solid line. (C)</p> Signup and view all the answers

What is the formula for an inverse proportion?

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

What is the purpose of a graph in Mathematical Literacy?

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

What does the horizontal axis in a graph represent?

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

What is the formula for a linear relationship?

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

What type of graph shows a decline in values?

<p>Decreasing graph with a gradual slope. (B)</p> Signup and view all the answers

What is the purpose of estimating in mathematical calculations?

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

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

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

What is the rule for rounding a number 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 purpose of identifying patterns and relationships in data?

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

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

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

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

<p>To display relationships between two variables, making data easier to interpret visually (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 (A)</p> Signup and view all the answers

How do you simplify a ratio?

<p>By dividing both terms by their greatest common divisor (C)</p> Signup and view all the answers

What is the definition of a mixed number?

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

What is the purpose of using a place value table?

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

What is the definition of an improper fraction?

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

What is the formula to convert a decimal fraction to a common fraction?

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

What is the volume in milliliters of a container that can hold 3 teaspoons of liquid?

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

What is the total cost of a material that costs $5 per liter, if you need 250 milliliters of it?

<p>$1.25 (B)</p> Signup and view all the answers

What is the real distance in meters if the distance on a map is 5 cm, and the scale is 1:100?

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

What is the weight in kilograms of a person who weighs 2500 grams?

<p>2.5 (B)</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 instrument used to measure distance in kilometers?

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

What is the conversion from 1 liter to milliliters?

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

What is the definition of a scale in a map?

<p>A scale is a ratio that represents the distance on the map to the actual distance in real life. (B)</p> Signup and view all the answers

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

<p>To perform various tasks such as cooking, baking, planning projects, and managing finances. (B)</p> Signup and view all the answers

What is the main 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 (A)</p> Signup and view all the answers

What is the disadvantage of using a number scale when resizing a map?

<p>It becomes less accurate (C)</p> Signup and view all the answers

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

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

What is the advantage of using a bar scale when resizing a map?

<p>It adjusts proportionally (D)</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 (B)</p> Signup and view all the answers

What is the purpose of using scales in maps?

<p>To accurately represent real-world distances (A)</p> Signup and view all the answers

What is the definition of a map's scale?

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

What is the 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 more complex calculations (C)</p> Signup and view all the answers

How do you measure the distance on a map using a bar scale?

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

What is the purpose of a probability scale?

<p>To describe the likelihood of an event occurring (D)</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 (A)</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 (B)</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 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 a scale in a map?

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

How do you convert a real dimension to a scale dimension?

<p>Divide the real dimension by the scale (A)</p> Signup and view all the answers

What is the purpose of a seating plan?

<p>To show the location of seats in a cinema or theatre (C)</p> Signup and view all the answers

What is the purpose of a floor plan?

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

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

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

What is the value of x in the equation 2x + 5 = 11, where x represents the position in a sequence?

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

If a point is plotted on the graph at (3, 4), what is the value of y when x is 6?

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

What is the formula to convert 250 milliliters to liters?

<p>Volume in liters = Volume in milliliters / 250 (B)</p> Signup and view all the answers

What is the value of k in the inverse proportion formula y = k/x, if y = 4 when x = 2?

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

What is the formula to convert 1 kilogram to grams?

<p>Weight in grams = Weight in kilograms × 1000 (B)</p> Signup and view all the answers

If a sequence has a general formula an = 2n + 1, what is the value of the 5th term?

<p>11 (C)</p> Signup and view all the answers

What is the formula to convert 1 kilolitre to litres?

<p>Volume in litres = Volume in kilolitres × 1000 (D)</p> Signup and view all the answers

What is the value of x in the equation y = 2x - 3, if y = 5 and x represents the position in a sequence?

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

What is the formula to convert 15 millilitres to teaspoons?

<p>Volume in teaspoons = Volume in millilitres / 5 (A)</p> Signup and view all the answers

What is the value of the 3rd term in a sequence with a general formula an = n^2 - 1?

<p>9 (D)</p> Signup and view all the answers

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