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

How many millilitres are in 1 litre?

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

Which of the following is NOT a unit of length?

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

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

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

How many milligrams are in 1 gram?

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

What is the conversion factor for kilograms to grams?

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

How many teaspoons are in 1 tablespoon?

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

What is the formula for converting cups to milliliters?

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

What instrument is used to measure distance in meters?

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

What is the unit of measurement for capacity?

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

What is the unit of measurement for temperature?

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

What type of thermometer measures human body temperature?

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

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

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

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

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

What is the definition of perimeter?

<p>The length of the outside of a shape. (B)</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. (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 (D)</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. (A)</p> Signup and view all the answers

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

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

What is the advantage of using a number scale?

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

Why are symbols used in floor plans?

<p>To simplify the representation of common elements (D)</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 (D)</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 (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 purpose of understanding packing arrangements?

<p>To fit as many items as possible into a limited space (C)</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 (A)</p> Signup and view all the answers

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

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

What is the disadvantage of using a number scale?

<p>It becomes incorrect if the map is resized (B)</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 (C)</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 (C)</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 (D)</p> Signup and view all the answers

What is the formula to draw a scaled map?

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

What do seating plans show?

<p>The arrangement of seats in a cinema or theatre (A)</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 (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 (B)</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 (D)</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 (B)</p> Signup and view all the answers

What is the formula for the area of a rectangle?

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

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

<p>27000 cm³ (D)</p> Signup and view all the answers

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

<p>1 (A)</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?

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

What is the complement of an event E?

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

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

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

What is the purpose of a two-way table?

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

What type of number is used to represent exact counts?

<p>Counting Number (A)</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 (C)</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 (B), To check answers for accuracy (C)</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 (B)</p> Signup and view all the answers

What is the order of operations in calculations?

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

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

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

How do you multiply fractions?

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

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

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

What is the characteristic of a positive number?

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

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

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

What does the slope of a graph indicate?

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

What does a graph touching the vertical axis indicate?

<p>The starting value of the dependent variable (C)</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 (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 writing general formulas?

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

What does a graph touching the horizontal axis indicate?

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

What is the definition of a proper fraction?

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

What is the formula for a linear relationship?

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

What is the definition of a ratio?

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

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

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

What is the formula for an inverse proportion relationship?

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

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

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

What is the definition of a mixed number?

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

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

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

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

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

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

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

What is the formula for a linear pattern rule?

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

What is the conversion factor for millimetres to centimetres?

<p>10 mm = 1 cm (D)</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 (B)</p> Signup and view all the answers

What is the conversion factor for litres to kilolitres?

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

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

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

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

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

What is the conversion factor for centimetres to millimetres?

<p>1 cm = 10 mm (C)</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 (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

<p>2000 ml (A)</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 (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 (C)</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 (A)</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 (C)</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 (C)</p> Signup and view all the answers

What is the formula to calculate the scaled measurement?

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

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

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

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

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

What is the definition of a perpendicular line?

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

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

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

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

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

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

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

What is the formula for the area of a rectangle?

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

What is the probability of an event?

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

What is the complement of an event?

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

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

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

What is the purpose of a two-way table?

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

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

<p>27000 cubic centimeters (C)</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 (B)</p> Signup and view all the answers

What type of number is used to represent exact counts?

<p>Counting numbers (C)</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 (A)</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 (D)</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 (A)</p> Signup and view all the answers

What is the opposite of a positive number?

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

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

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

What is the purpose of providing clear directions?

<p>To guide people to a specific location (D)</p> Signup and view all the answers

What is the advantage of using a bar scale?

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

What is the purpose of estimating?

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

What is shown on a seating plan?

<p>The location of seats in a cinema or theatre (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 order of operations in BODMAS?

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

What is a proper fraction?

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

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

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

What is a decimal fraction?

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

What is the rule for rounding to the nearest 10?

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

What is the purpose of a scale on a map?

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

What is the definition of a positive number?

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

What is a ratio?

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

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

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

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

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

What is the purpose of using a place value table?

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

What is a mixed number?

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

What is the convention for writing whole numbers in words?

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

What is the purpose of a graph in mathematical literacy?

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

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

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

What does a steep slope in a graph indicate?

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

What does a decreasing graph indicate?

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

What is the purpose of interpreting graphs?

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

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

<p>The dependent variable (D)</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 (B)</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 (D)</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 relationship is represented by a curve on a graph?

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

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

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

What is the formula for an inverse proportion relationship?

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

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

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

What is the purpose of identifying patterns in graph interpretation?

<p>To identify the type of relationship (B)</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) (A)</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 (A)</p> Signup and view all the answers

How many centimetres are in 1 kilometre?

<p>100,000 (B)</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 (A)</p> Signup and view all the answers

How many millilitres are in 1 kilolitre?

<p>1,000,000 (D)</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 (C)</p> Signup and view all the answers

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

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

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

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

How many grams are in 1 kilogram?

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

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

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

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

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

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

<p>90 (D)</p> Signup and view all the answers

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

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

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

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

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

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

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

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

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

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

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

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

What is the definition of a circle?

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

What is the value of pi (π) approximately?

<p>3.142 (C)</p> Signup and view all the answers

What is the purpose of a scale on a map?

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

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

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

What is the advantage of using a bar scale?

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

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

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

What is the definition of a perpendicular line?

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

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

<p>Real Distance = (Measured Distance on Map / Length of One Segment) × Distance Represented by One Segment (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 the disadvantage of using a number scale?

<p>It becomes incorrect if the map is resized (D)</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 (B)</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 (A)</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 (C)</p> Signup and view all the answers

What is the advantage of using a number scale?

<p>It is simple to use (C)</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 (A)</p> Signup and view all the answers

What is the primary purpose of providing clear directions?

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

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

<p>Cubic centimeters (A)</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 (B)</p> Signup and view all the answers

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

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

What is the advantage of using a bar scale?

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

What do floor plans show?

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

Why are symbols used in floor plans?

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

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

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

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

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

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

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

What is the disadvantage of using a number scale?

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

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

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

What is the purpose of weather predictions?

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

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

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

What is the purpose of estimating answers to calculations?

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

What is the order of operations in calculations?

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

How do you multiply a number by 100?

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

What is a common fraction?

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

How do you add fractions with different denominators?

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

What does the MRC key on a calculator do?

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

How do you read and write large numbers?

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

What is a decimal fraction?

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

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

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

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

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

What is the purpose of estimating in math?

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

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

What is the characteristic of a linear relationship?

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

What is a proper fraction?

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

What is the formula for an inverse proportion relationship?

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

What is the purpose of a graph in Mathematical Literacy?

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

What is the definition of a negative number?

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

What is the purpose of identifying patterns in a sequence?

<p>To write a formula for the sequence (C)</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 (A)</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 (C)</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 (D)</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 (A)</p> Signup and view all the answers

What does a steep slope indicate in a graph?

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

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

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

What is the characteristic of an inverse proportion relationship?

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

What is the definition of a mixed number?

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

What is the purpose of identifying patterns in a graph?

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

What does a gradual slope indicate in a graph?

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

How many centimetres are in 1 kilometre?

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

How many litres are in 1 kilolitre?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

What is the definition of perimeter?

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

How many grams are in 1 kilogram?

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

How many milliliters are in 1 cup?

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

Which instrument is used to measure distance in meters?

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

What is the unit of measurement for capacity?

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

Which scale becomes incorrect if the map is resized?

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

What is the instrument used to measure human body temperature?

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

What is the unit of measurement for temperature?

<p>Degree Celsius (A)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>It remains accurate (D)</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 (B)</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 (A)</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 (D)</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 (A)</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 (C)</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 (D)</p> Signup and view all the answers

What is the formula to convert measurements to a scale?

<p>Real-life Measurement / Scale Factor (C)</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 (C)</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 purpose of using symbols in floor plans?

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

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

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

What do seating plans show?

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

Why are scales used on maps?

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

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

<p>Length × Width (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 purpose of a tree diagram?

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

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

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

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

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

What is the order of operations in calculations?

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

What is a common fraction?

<p>A fraction with a numerator smaller than the denominator (C)</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 (C)</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 (C)</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 (D)</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

What is the purpose of using codes?

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

What is the formula for a linear relationship?

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

What is the formula for an inverse proportion relationship?

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

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

<p>The starting value (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 purpose of identifying patterns in data?

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

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

<p>The y-coordinate (C)</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 (C)</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 (A)</p> Signup and view all the answers

What is an example of a continuous graph?

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

What does a steep slope indicate on a graph?

<p>A quicker change (D)</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 (C)</p> Signup and view all the answers

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

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

What is the purpose of interpreting graphs in Mathematical Literacy?

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

What is the opposite of a positive number?

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

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

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

What is the purpose of estimating in mathematics?

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

What does the vertical axis represent in a graph?

<p>The dependent variable (A)</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 (B)</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 (C)</p> Signup and view all the answers

What is the rule for rounding to the nearest 10?

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

What is an example of an increasing graph?

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

What is the definition of a proper fraction?

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

What is the order of operations in mathematics?

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

What is the definition of a ratio?

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

What is the purpose of using a place value table?

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

What is the definition of a mixed number?

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

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