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

What is the distance between two points?

  • Volume
  • Mass
  • Length (correct)
  • Weight

    • How many millimetres are in 1 centimetre?

  • 50
  • 10 (correct)
  • 5
  • 100

    • What is the formula to convert length from millimetres to centimetres?

  • Length in cm = Length in mm - 10
  • Length in cm = Length in mm × 10
  • Length in cm = Length in mm + 10
  • Length in cm = Length in mm ÷ 10 (correct)

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

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

    How many millilitres are in 1 litre?

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

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

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

    Which of the following is NOT a unit of length?

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

    What is the unit of measurement that measures how heavy an object is?

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

    How many milligrams are in 1 gram?

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

    What is the conversion factor for kilograms to grams?

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

    How many teaspoons are in 1 tablespoon?

    <p>3</p> Signup and view all the answers

    What is the formula for converting cups to milliliters?

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

    What instrument is used to measure distance in meters?

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

    What is the formula for calculating cost when buying materials by weight?

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

    What is the unit of measurement for capacity?

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

    What is the formula for calculating cost when buying liquids by volume?

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

    What is the unit of measurement for temperature?

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

    What type of thermometer measures human body temperature?

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

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

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

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

    <p>P = 2 x length + 2 x width</p> Signup and view all the answers

    What is the definition of a square?

    <p>A flat two-dimensional shape with opposite sides of equal length and all adjacent sides at right angles.</p> Signup and view all the answers

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

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

    What is the definition of perimeter?

    <p>The length of the outside of a shape.</p> Signup and view all the answers

    What is the definition of a scale?

    <p>A ratio representing the distance on a 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 number scale?

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

    What is the definition of a circle?

    <p>A curved line that forms the boundary of a closed geometric figure.</p> Signup and view all the answers

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

    <p>C = π x diameter</p> Signup and view all the answers

    What is the definition of a radius?

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

    What is the advantage of using a number scale?

    <p>It only needs to measure one distance</p> Signup and view all the answers

    What is the purpose of providing clear directions?

    <p>To ensure they arrive at their destination safely and efficiently</p> Signup and view all the answers

    What is a floor plan?

    <p>A 2-dimensional picture of a building seen from a top view</p> Signup and view all the answers

    Why are symbols used in floor plans?

    <p>To simplify the representation of common elements</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To provide a ratio of distance on the map to actual distance</p> Signup and view all the answers

    What do you need to do to calculate the dimensions of an object on a scale?

    <p>Divide the real-life measurement by the 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

    What is the purpose of understanding packing arrangements?

    <p>To fit as many items as possible into a limited space</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 x Distance Represented by One Segment</p> Signup and view all the answers

    What is the formula to calculate the volume of an object?

    <p>Length x Width x Height</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</p> Signup and view all the answers

    What is the importance of converting real measurements to a scale?

    <p>To make the measurements more accurate</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 both the actual measurements and the scale</p> Signup and view all the answers

    What is the formula to draw a scaled map?

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

    What do seating plans show?

    <p>The arrangement of seats in a cinema or theatre</p> Signup and view all the answers

    What is the purpose of measuring objects or distances on a map?

    <p>To find the real distance</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</p> Signup and view all the answers

    What do you need to know to use a bar scale?

    <p>The length of one segment and the measured distance on the map</p> Signup and view all the answers

    What happens to the accuracy of a number scale when the map is resized?

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

    What is the formula for the area of a rectangle?

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

    What is the value of the volume of the box in the given example?

    <p>27000 cm³</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 theoretical probability of getting heads in a coin toss?

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

    What is the purpose of a tree diagram?

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

    What is the formula for calculating probability?

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

    What is the complement of an event E?

    <p>1 - P(E)</p> Signup and view all the answers

    What is the relative frequency of an event?

    <p>Number of times an event occurs / Total number of trials</p> Signup and view all the answers

    In South Africa, what is used to separate whole numbers from decimal fractions?

    <p>A decimal comma</p> Signup and view all the answers

    What is the purpose of a two-way table?

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

    What type of number is used to represent exact counts?

    <p>Counting Number</p> Signup and view all the answers

    How do you write numbers in words?

    <p>Separate the number into groups of three digits from right to left</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 'M+' key on a calculator?

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

    What is the order of operations in calculations?

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

    What is the result of multiplying a number by 10?

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

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

    <p>Improper Fraction</p> Signup and view all the answers

    How do you multiply fractions?

    <p>Multiply the numerators together and the denominators together</p> Signup and view all the answers

    What is the decimal fraction equivalent to the common fraction 1/2?

    <p>0.5</p> Signup and view all the answers

    What is the characteristic of a positive number?

    <p>Greater than zero</p> Signup and view all the answers

    What is the purpose of a graph in mathematical literacy?

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

    What type of graph represents measurements that can take any value within a range?

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

    What does the slope of a graph indicate?

    <p>The rate of change of the dependent variable</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 does a graph touching the vertical axis indicate?

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

    What is the purpose of identifying patterns in graphs?

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

    What type of graph shows a rise in values?

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

    What is the purpose of writing general formulas?

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

    What does a graph touching the horizontal axis indicate?

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

    What is the purpose of estimating in mathematical problems?

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

    What is the difference between a positive and a negative number?

    <p>A positive number is greater than zero, and a negative number is less than zero</p> Signup and view all the answers

    What is the purpose of the BODMAS rule in mathematical operations?

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

    What is the definition of a proper fraction?

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

    What is the purpose of using place value in understanding large numbers?

    <p>To compare the sizes of numbers</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 is the definition of a ratio?

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

    What is the purpose of using a calculator in mathematical operations?

    <p>To perform calculations quickly and accurately</p> Signup and view all the answers

    What is the formula for an inverse proportion relationship?

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

    What is the value of the dependent variable when the independent variable is zero?

    <p>The y-intercept</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

    What is the purpose of using decimal commas in number representation in South Africa?

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

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

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

    What is the purpose of identifying patterns in data?

    <p>To recognize a linear or inverse proportion relationship</p> Signup and view all the answers

    What is the purpose of using the breaking down and multiplying method in addition and multiplication?

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

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

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

    What is the formula for a linear pattern rule?

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

    What is the purpose of plotting points on a graph?

    <p>To recognize a linear or inverse proportion relationship</p> Signup and view all the answers

    What is the conversion factor for millimetres to centimetres?

    <p>10 mm = 1 cm</p> Signup and view all the answers

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

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

    What is the conversion factor for litres to kilolitres?

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

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

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

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

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

    What is the conversion factor for centimetres to millimetres?

    <p>1 cm = 10 mm</p> Signup and view all the answers

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

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

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

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

    What is the weight in grams of an object that weighs 2500 milligrams?

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

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

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

    A car weighs 1500 kg. How many tonnes does it weigh?

    <p>0.15 t</p> Signup and view all the answers

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

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

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

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

    A measuring cup holds 250 ml. How many cups is this?

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

    What is the weight in kilograms of an object that weighs 2500 grams?

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

    A recipe calls for 3 tablespoons of oil. How many milliliters of oil is this?

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

    A person needs 2 kilograms of flour. How many grams of flour do they need?

    <p>2000 g</p> Signup and view all the answers

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

    <p>2000 ml</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <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 advantage of using a bar scale?

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

    What do you need to know to use a bar scale?

    <p>The length of one segment and the distance represented by one segment</p> Signup and view all the answers

    What happens to the accuracy of a number scale when the map is resized?

    <p>It becomes incorrect</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 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 scales in maps?

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

    What do you need to do to draw a scaled map from real dimensions?

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

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

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

    What is the purpose of measuring objects or distances on a map?

    <p>To convert these measurements to real-world distances using the scale provided</p> Signup and view all the answers

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

    <p>A = side × side</p> Signup and view all the answers

    What is the definition of a perpendicular line?

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

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

    <p>P = side₁ + side₂ + side₃</p> Signup and view all the answers

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

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

    What is the definition of a scale?

    <p>A ratio representing the distance on a 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 number scale?

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

    What is the definition of a radius?

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

    What is the definition of the perimeter of a shape?

    <p>The total length of the outside of a shape or the continuous line forming the boundary of a closed geometric figure</p> Signup and view all the answers

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

    <p>A = π × radius²</p> Signup and view all the answers

    What is the formula for the area of a rectangle?

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

    What is the probability of an event?

    <p>Number of favourable outcomes / Total number of possible outcomes</p> Signup and view all the answers

    What is the complement of an event?

    <p>1 - P(E)</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 probability scale?

    <p>A continuous line used to describe the likelihood of an event occurring</p> Signup and view all the answers

    What is the formula for relative frequency?

    <p>Number of times an event occurs / Total number of trials</p> Signup and view all the answers

    What is the unit of measurement for capacity in South Africa?

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

    What is the purpose of a two-way table?

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

    What is the volume of the box in the given example?

    <p>27000 cubic centimeters</p> Signup and view all the answers

    What is the convention for representing numbers in South Africa?

    <p>Using a decimal comma and spaces to separate groups of three digits</p> Signup and view all the answers

    What type of number is used to represent exact counts?

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

    How do you write numbers in words?

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

    What is the purpose of estimating in calculations?

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

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

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

    What is the opposite of a positive number?

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

    What is the acronym used to remember the order of operations?

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

    What is the purpose of providing clear directions?

    <p>To guide people to a specific location</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

    What is the purpose of estimating?

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

    What is the result of multiplying a number by 10?

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

    What is shown on a seating plan?

    <p>The location of seats in a cinema or theatre</p> Signup and view all the answers

    What is a common fraction?

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

    What is the order of operations in BODMAS?

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

    What is the formula to calculate the dimensions of an object on a scale?

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

    What is a proper fraction?

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

    What is the result of dividing a fraction by another fraction?

    <p>Multiplying by the reciprocal of the divisor</p> Signup and view all the answers

    What is a decimal fraction?

    <p>A fraction with a denominator that is a power of ten</p> Signup and view all the answers

    What is the rule for rounding to the nearest 10?

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

    What is the purpose of a scale on a map?

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

    What is the definition of a positive number?

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

    What is the formula to calculate the volume of an object?

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

    What is a ratio?

    <p>A comparison of two or more numbers of the same type</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

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

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

    What do you need to know to use a bar scale?

    <p>The scale factor</p> Signup and view all the answers

    What is the purpose of using a place value table?

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

    What is a mixed number?

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

    What is the purpose of understanding packing arrangements?

    <p>To determine the best way to fit objects into a limited space</p> Signup and view all the answers

    What is the advantage of using a floor plan?

    <p>It shows the layout of a building or room</p> Signup and view all the answers

    What is the convention for writing whole numbers in words?

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

    What is the purpose of a graph in mathematical literacy?

    <p>To make data easier to interpret visually</p> Signup and view all the answers

    What type of graph represents measurements that can take any value within a range?

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

    What does the independent variable represent in a graph?

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

    What does a steep slope in a graph indicate?

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

    What is the purpose of identifying patterns in graphs?

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

    What does a decreasing graph indicate?

    <p>A decline in values</p> Signup and view all the answers

    What is the purpose of interpreting graphs?

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

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

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

    What is the purpose of using formulas to describe patterns in graphs?

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

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

    <p>A discrete graph is used for whole numbers, while a continuous graph is used for measurements</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 relationship is represented by a curve on a graph?

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

    What is the value of the y-intercept in the formula y = mx + c?

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

    What is the formula for an inverse proportion relationship?

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

    What is the slope of a line in the formula y = mx + c?

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

    What is the purpose of identifying patterns in graph interpretation?

    <p>To identify the type of relationship</p> Signup and view all the answers

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

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

    What is the purpose of writing a general formula for a pattern?

    <p>To describe the pattern using variables</p> Signup and view all the answers

    How many centimetres are in 1 kilometre?

    <p>100,000</p> Signup and view all the answers

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

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

    How many millilitres are in 1 kilolitre?

    <p>1,000,000</p> Signup and view all the answers

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

    <p>Volume in l = Volume in ml ÷ 1,000</p> Signup and view all the answers

    What is the unit of measurement that measures how heavy an object is?

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

    If you want to convert 5 kilometres to meters, what should you do?

    <p>Multiply 5 by 1,000</p> Signup and view all the answers

    If you want to convert 3 litres to millilitres, what should you do?

    <p>Multiply 3 by 1,000</p> Signup and view all the answers

    What is the unit of measurement that measures the amount of space an object occupies?

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

    How many grams are in 1 kilogram?

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

    If a recipe requires 2 cups of flour, how many milliliters of flour is needed?

    <p>500</p> Signup and view all the answers

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

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

    If a recipe requires 3 tablespoons of oil, how many milliliters of oil is needed?

    <p>90</p> Signup and view all the answers

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

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

    What is the unit of measurement for volume that is equal to 1000 milliliters?

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

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

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

    What is the unit of measurement for length that is equal to 1000 millimeters?

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

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

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

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

    <p>Bathroom Scales</p> Signup and view all the answers

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

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

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

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

    What is the definition of a circle?

    <p>A curved shape with no beginning or end</p> Signup and view all the answers

    What is the value of pi (π) approximately?

    <p>3.142</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To show the relative distance</p> Signup and view all the answers

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

    <p>C = 2 × π × radius</p> Signup and view all the answers

    What is the definition of a radius?

    <p>The length from the centre to the edge of a circle</p> Signup and view all the answers

    What is the advantage of using a bar scale?

    <p>It is easier to read and understand</p> Signup and view all the answers

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

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

    What is the definition of a perpendicular line?

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

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

    <p>To convert map measurements to real-world distances</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 bar scale?

    <p>It remains accurate when the map is resized</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 disadvantage of using a number scale?

    <p>It becomes incorrect if the map is resized</p> Signup and view all the answers

    What do you need to know to use a bar scale?

    <p>The length of one segment and the measured distance on the map</p> Signup and view all the answers

    What is the purpose of measuring objects or distances on a map?

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

    What happens to the accuracy of a number scale when the map is resized?

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

    What is the advantage of using a number scale?

    <p>It is simple to use</p> Signup and view all the answers

    What do you need to do to 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 primary purpose of providing clear directions?

    <p>To help the listener navigate</p> Signup and view all the answers

    What is the unit of volume in the given volume calculation example?

    <p>Cubic centimeters</p> Signup and view all the answers

    What is the formula to convert real measurements to a scale?

    <p>Measurement on Plan = Real-life Measurement ÷ Scale Factor</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 advantage of using a bar scale?

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

    What is the term for the number of times something happens in a game of chance?

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

    What do floor plans show?

    <p>The layout and dimensions of a room or building</p> Signup and view all the answers

    Why are symbols used in floor plans?

    <p>To represent common elements like toilets and stairs</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 term for the collection of one or more outcomes in a game of chance?

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

    What is the purpose of a scale on a map?

    <p>To allow the reader to calculate real distances</p> Signup and view all the answers

    What is the purpose of a tree diagram in probability?

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

    What is the formula to calculate the volume of an object?

    <p>Volume = Length × Width × Height</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 for calculating the relative frequency of an event?

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

    What is the convention for separating whole numbers from decimal fractions in South Africa?

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

    What is the purpose of understanding packing arrangements?

    <p>To determine how many items can fit in a limited space</p> Signup and view all the answers

    What is the definition of a floor plan?

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

    What is the purpose of weather predictions?

    <p>To forecast the probability of rain</p> Signup and view all the answers

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

    <p>Area = Length * Width</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 order of operations in calculations?

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

    How do you multiply a number by 100?

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

    What is a common fraction?

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

    How do you add fractions with different denominators?

    <p>Convert the fractions to have a common denominator</p> Signup and view all the answers

    What is the purpose of a place value table?

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

    What does the MRC key on a calculator do?

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

    How do you read and write large numbers?

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

    What is a decimal fraction?

    <p>Another way to write fractions whose denominators are powers of ten</p> Signup and view all the answers

    What is the purpose of using formulas and steps for number formats and conventions?

    <p>To make calculations easier and more accurate</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 the horizontal axis in a graph?

    <p>To indicate the dependent variable has reached zero</p> Signup and view all the answers

    What is the purpose of estimating in math?

    <p>To think about a problem before solving it</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 is the correct order of operations in math?

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

    What is the characteristic of a linear relationship?

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

    What is a proper fraction?

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

    What is the formula for an inverse proportion relationship?

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

    What is the result of multiplying a number by 10?

    <p>The number shifts one digit to the right</p> Signup and view all the answers

    What is the step to plot points on a grid?

    <p>Move along the horizontal x-axis and then move along the vertical y-axis.</p> Signup and view all the answers

    What is the purpose of a graph in Mathematical Literacy?

    <p>To show relationships between two variables</p> Signup and view all the answers

    What is the definition of a negative number?

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

    What is the purpose of identifying patterns in a sequence?

    <p>To write a formula for the sequence</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</p> Signup and view all the answers

    What is an independent variable in a graph?

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

    What is the formula for writing a general formula for a sequence?

    <p>an = value of the nth term</p> Signup and view all the answers

    What is the purpose of a ratio in math?

    <p>To compare two numbers with the same unit</p> Signup and view all the answers

    What does a steep slope indicate in a graph?

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

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

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

    What is the characteristic of an inverse proportion relationship?

    <p>As one quantity increases, the other decreases</p> Signup and view all the answers

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

    <p>The numerator is divided by the denominator</p> Signup and view all the answers

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

    <p>The starting value of the dependent variable</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

    What is the purpose of identifying patterns in a graph?

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

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

    <p>Continuous graphs represent measurements, while discrete graphs represent whole numbers</p> Signup and view all the answers

    What is the purpose of interpreting graphs in Mathematical Literacy?

    <p>To understand the messages conveyed by the graph</p> Signup and view all the answers

    What does a gradual slope indicate in a graph?

    <p>A slower change</p> Signup and view all the answers

    What is the purpose of using graphs in Mathematical Literacy?

    <p>To make it easier to understand data at a glance</p> Signup and view all the answers

    How many centimetres are in 1 kilometre?

    <p>100,000</p> Signup and view all the answers

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

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

    How many litres are in 1 kilolitre?

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

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

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

    If a length is 2500 millimetres, what is it in kilometres?

    <p>0.025 km</p> Signup and view all the answers

    If a volume is 2500 millilitres, what is it in litres?

    <p>0.25 l</p> Signup and view all the answers

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

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

    What is the unit of measurement for how heavy an object is?

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

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

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

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

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

    What is the definition of a circle?

    <p>A curved shape where every point on the circle is equidistant from a fixed central point</p> Signup and view all the answers

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

    <p>A = side × side</p> Signup and view all the answers

    What is the definition of a scale?

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

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

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

    What is the purpose of a scale on a map?

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

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

    <p>A = π × radius²</p> Signup and view all the answers

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

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

    What is the definition of perimeter?

    <p>The total length of the outside of a shape</p> Signup and view all the answers

    How many grams are in 1 kilogram?

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

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

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

    How many milliliters are in 1 cup?

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

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

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

    Which instrument is used to measure distance in meters?

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

    What is the formula to calculate the total cost of materials bought by weight?

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

    What is the unit of measurement for capacity?

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

    What does the scale of a map represent?

    <p>The ratio of the distance on the map to the actual distance</p> Signup and view all the answers

    What is the formula to calculate the total cost of liquids bought by volume?

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

    Which scale becomes incorrect if the map is resized?

    <p>Number scale</p> Signup and view all the answers

    What is the instrument used to measure human body temperature?

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

    What is the purpose of measuring objects or distances on a map?

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

    What is the unit of measurement for temperature?

    <p>Degree Celsius</p> Signup and view all the answers

    What is an advantage of using a bar scale?

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

    How do you use a number scale to find the real distance?

    <p>Measure the distance on the map and multiply by the scale factor</p> Signup and view all the answers

    What do you need to know to draw a scaled map from real dimensions?

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

    What happens to a bar scale when the map is resized?

    <p>It remains accurate</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 do you need to do to calculate the dimensions of an object on a scale?

    <p>Measure the dimensions of objects or distances on the map and convert these measurements to real-world distances</p> Signup and view all the answers

    What is the purpose of using scales on maps?

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

    What is the primary advantage of using a bar scale?

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

    What is the purpose of providing clear directions?

    <p>To help the person following the directions navigate easily</p> Signup and view all the answers

    What do floor plans show?

    <p>A 2-dimensional picture of a building or structure from a top view</p> Signup and view all the answers

    What is the formula to convert measurements to a scale?

    <p>Real-life Measurement / Scale Factor</p> Signup and view all the answers

    What is the purpose of understanding packing arrangements?

    <p>To fit as many items as possible into a limited space</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 symbols in floor plans?

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

    What is the formula to calculate the volume of an object?

    <p>Length x Width x Height</p> Signup and view all the answers

    What do seating plans show?

    <p>The arrangement of seats in a cinema or theatre</p> Signup and view all the answers

    Why are scales used on maps?

    <p>To provide a reference point for measurements</p> Signup and view all the answers

    What is the formula to calculate the area of an object?

    <p>Length × Width</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 a tree diagram?

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

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

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

    What is the relative frequency of an event?

    <p>Number of times an event occurs / Total number of trials</p> Signup and view all the answers

    What is a fair game in probability?

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

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

    <p>0</p> Signup and view all the answers

    What is the purpose of using a number scale?

    <p>To draw a scaled map from real dimensions</p> Signup and view all the answers

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

    <p>Decimal comma and space</p> Signup and view all the answers

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

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

    What is the purpose of estimating in calculations?

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

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

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

    What is the order of operations in calculations?

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

    What is the result of multiplying a number by 10?

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

    What is a common fraction?

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

    What is the result of dividing a fraction by another fraction?

    <p>Multiply by the reciprocal of the divisor</p> Signup and view all the answers

    What is a decimal fraction?

    <p>Another way to write a fraction with a denominator of a power of 10</p> Signup and view all the answers

    What is the purpose of using a place value table?

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

    What is the definition of a positive number?

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

    What is the purpose of using codes?

    <p>Identification numbers</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 is the formula for an inverse proportion relationship?

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

    What is the value of the y-intercept in a linear relationship?

    <p>The starting value</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)</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

    <p>To write a rule or formula for the pattern</p> Signup and view all the answers

    What is the value of the dependent variable in a linear relationship?

    <p>The y-coordinate</p> Signup and view all the answers

    What is the purpose of rewriting a formula using variables?

    <p>To write a general formula for the pattern</p> Signup and view all the answers

    What is the relationship between the variables in an inverse proportion?

    <p>One quantity increases and the other decreases</p> Signup and view all the answers

    What is an example of a continuous graph?

    <p>Distance traveled over time</p> Signup and view all the answers

    What does a steep slope indicate on a graph?

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

    What does a graph touch when it reaches the horizontal axis?

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

    What is the purpose of interpreting graphs in Mathematical Literacy?

    <p>To analyze the data visually</p> Signup and view all the answers

    What is the opposite of a positive number?

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

    What type of graph is represented by points connected with dotted lines?

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

    What is the purpose of estimating in mathematics?

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

    What does the vertical axis represent in a graph?

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

    What is the purpose of finding patterns in graphs?

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

    How do you read and write whole numbers in words?

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

    What is the rule for rounding to the nearest 10?

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

    What is an example of an increasing graph?

    <p>The temperature increasing over time</p> Signup and view all the answers

    What is the formula for writing a general rule for a pattern?

    <p>Using variables to represent the pattern</p> Signup and view all the answers

    What is the definition of a proper fraction?

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

    What is the order of operations in mathematics?

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

    What is the purpose of using a calculator in mathematics?

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

    What is the purpose of using a place value table?

    <p>To understand the size of numbers</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

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