Gr10 Math Lit: November test medium P(2)

What is the conversion factor from millimetres to centimetres?

1 mm = 10 cm
1 mm = 0.1 cm
10 mm = 1 cm (correct)
100 mm = 1 cm

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

Length in m = Length in cm / 100 (correct)
Length in m = Length in cm × 10
Length in m = Length in cm × 100
Length in m = Length in cm / 10

What is the conversion factor from litres to kilolitres?

1 L = 0.1 kl
1 kl = 100 L
1 L = 0.01 kl
1 kl = 1000 L (correct)

What is the unit of measurement for weight or mass that is equal to 1000 grams?

Kilograms (D) Signup and view all the answers

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

Length in m = Length in km × 1000 (B) Signup and view all the answers

What is the conversion factor from millilitres to litres?

1 L = 1000 ml (C) Signup and view all the answers

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

Kilometres (A) Signup and view all the answers

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

Volume in L = Volume in ml / 1000 (D) Signup and view all the answers

What is the conversion factor for grams to kilograms?

1 kg = 1000 g (D) Signup and view all the answers

What is the formula for converting milligrams to grams?

Weight in g = Weight in mg ÷ 1000 (A) Signup and view all the answers

What is the conversion factor for cups to milliliters?

1 cup = 250 ml (C) Signup and view all the answers

What instrument is used to measure distance in meters?

Trundle Wheel (D) Signup and view all the answers

What is the formula for calculating the total cost of an item based on its weight?

Total Cost = Weight Needed × Price per Kilogram (C) Signup and view all the answers

What is the conversion factor for kilograms to tonnes?

1 t = 1000 kg (A) Signup and view all the answers

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

Measuring Jugs (D) Signup and view all the answers

What is the formula for converting teaspoons to milliliters?

Volume in ml = Volume in tsp × 5 (C) Signup and view all the answers

What is the unit of measurement for temperature?

Degrees Celsius (A) Signup and view all the answers

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

Analogue Thermometers (B) Signup and view all the answers

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

100°C (B) Signup and view all the answers

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

P = 2 × length + 2 × width (A) Signup and view all the answers

What is the definition of a circle's diameter?

The length from one edge of the circle to the other, passing through the centre (B) Signup and view all the answers

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

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

What is the definition of a perpendicular line?

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

What is the purpose of a scale on a map?

To show the proportion of the distance on the map to the actual distance (B) Signup and view all the answers

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

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

How can the area of a shape be estimated without using a formula?

By placing a square grid over the shape and counting the number of squares (B) Signup and view all the answers

What is the definition of a circle's circumference?

The distance around the curved edge of a circle (A) Signup and view all the answers

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

A = π × radius^2 (C) Signup and view all the answers

What is the purpose of a scale on a map?

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

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

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

What is the advantage of using a bar scale?

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

What does a scale of 1:50 represent in a map?

1 unit on the map represents 50 units in real life (D) Signup and view all the answers

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

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

What is the disadvantage of using a number scale?

It becomes inaccurate when the map is resized (C) Signup and view all the answers

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

To help the person following the directions to reach their destination quickly and easily (A) Signup and view all the answers

How do you draw a scaled map from real dimensions?

Know the scale to be used and measure the actual dimensions (A) Signup and view all the answers

What is the primary purpose of a floor plan?

To show the layout of a building or room from a top view (B) Signup and view all the answers

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

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

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

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

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

Volume = Length x Width x Height (C) Signup and view all the answers

What is the advantage of using a number scale?

It is simple to use and only requires measuring one distance (C) Signup and view all the answers

What is the disadvantage of using a bar scale?

It requires measuring the length of a segment and more complex calculations (B) Signup and view all the answers

What is the purpose of a probability scale?

To describe the likelihood of an event occurring (C) Signup and view all the answers

What is the probability of an impossible event?

0 (D) Signup and view all the answers

What is the purpose of using scales on maps?

To accurately interpret and navigate maps and plans (B) Signup and view all the answers

What is the purpose of using symbols in floor plans?

To represent common elements like toilets, lifts, and stairs (A) Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a floor plan?

To consider the arrangement of furniture and fixtures, and the overall functionality of the space (A) Signup and view all the answers

What is the formula for calculating the area of a rectangular shape?

Area = Length x Width (C) Signup and view all the answers

What is the purpose of estimating answers to calculations?

To think about a problem before working it out and check answers for accuracy (B) Signup and view all the answers

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

Adds a number to the memory (B) Signup and view all the answers

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

BODMAS (A) Signup and view all the answers

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

Zero (D) Signup and view all the answers

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

To make reading and writing numbers easier (A) Signup and view all the answers

What is the function of the Change Sign key on a calculator?

Changes the sign of a number (A) Signup and view all the answers

What is the result of multiplying a number by 10?

The number is shifted one place to the right (C) Signup and view all the answers

What is the purpose of a place value table?

To determine the value of each digit (D) Signup and view all the answers

What is the definition of a proper fraction?

A fraction where the numerator is smaller than the denominator (C) Signup and view all the answers

What is the formula to describe a linear relationship?

y = mx + c (B) Signup and view all the answers

What is the purpose of using a convention for number representation?

To provide a standard way of doing something (C) Signup and view all the answers

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

an (A) Signup and view all the answers

How do you identify a linear relationship?

If the points form a straight line (B) Signup and view all the answers

What is the formula to describe an inverse proportion relationship?

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

What is the purpose of rewriting a formula using variables?

To represent positions and values in the sequence (A) Signup and view all the answers

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

1/2 (D) Signup and view all the answers

What is the purpose of a tree diagram?

To show all possible outcomes of an event (D) Signup and view all the answers

What is the definition of a fair game?

A game that has an equal chance of winning or losing (D) Signup and view all the answers

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

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

What is the purpose of a two-way table?

To calculate the combined probability of two events (D) Signup and view all the answers

What is the definition of an outcome?

A result of a single trial (B) Signup and view all the answers

What is the definition of an event?

A collection of one or more outcomes (A) Signup and view all the answers

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

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

What is the purpose of weather predictions?

To analyze past weather data (B) Signup and view all the answers

What is the convention for writing numbers in South Africa?

Using a decimal comma (D) Signup and view all the answers

What is the purpose of estimating in maths?

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

What is the rule for ordering numbers in a place value table?

Compare from the leftmost column (A) Signup and view all the answers

What is the order of operations in BODMAS?

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

What is the definition of a proper fraction?

Numerator < Denominator (C) Signup and view all the answers

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

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

What is the definition of a rate?

Comparison of two numbers with different units (C) Signup and view all the answers

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

Discrete Graph (A) Signup and view all the answers

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

Divide the numerator by the denominator (B) Signup and view all the answers

What is the variable that depends on other factors in a graph?

Dependent Variable (D) Signup and view all the answers

What is the purpose of using a calculator in maths?

To perform complex calculations quickly and accurately (C) Signup and view all the answers

What is the definition of a mixed number?

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

What type of graph has a constant rate of change and forms a straight line?

Linear Relationship (B) Signup and view all the answers

What is the formula for a linear relationship?

y = mx + c (C) Signup and view all the answers

What is the rule for rounding numbers in contextual situations?

Consider the practical implications of rounding in real-life situations (C) Signup and view all the answers

What is the purpose of a graph in Mathematical Literacy?

To visualize the relationship between two quantities (A) Signup and view all the answers

What type of graph has a curve and represents an inverse proportion?

Inverse Proportion (D) Signup and view all the answers

What is the formula for an inverse proportion?

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

What is the step to plot a point on a grid?

Move along the horizontal axis and then move up along the vertical axis (B) Signup and view all the answers

What is the purpose of identifying patterns in data?

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

What is the meaning of the term 'slope' in a graph?

The rate of change of the dependent variable (B) Signup and view all the answers

How many grams are in 1 kilogram?

1000 (C) Signup and view all the answers

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

Weight in g = Weight in kg × 1000 (B) Signup and view all the answers

What is the conversion factor from cups to millilitres?

1 cup = 250 ml (A) Signup and view all the answers

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

Volume in ml = Volume in tsp × 5 (D) Signup and view all the answers

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

Measuring jugs (C) Signup and view all the answers

What is the formula to calculate the total cost of an item based on its weight?

Total Cost = Weight Needed × Price per Kilogram (B) Signup and view all the answers

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

tonne (A) Signup and view all the answers

What is the instrument used to measure distance in meters?

Trundle wheel (D) Signup and view all the answers

What is the conversion factor from milligrams to grams?

1 g = 1000 mg (B) Signup and view all the answers

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

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

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

3 m (A) Signup and view all the answers

A bottle of water has a volume of 2 liters. How many milliliters of water are in the bottle?

2000 ml (D) Signup and view all the answers

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

7.5 km (D) Signup and view all the answers

A box has a volume of 3 kiloliters. How many liters of water can it hold?

3000 l (A) Signup and view all the answers

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

2500 g (A) Signup and view all the answers

A car travels 250 kilometers in 5 hours. How many meters does it travel per hour?

5000 m/h (C) Signup and view all the answers

What is the volume in milliliters of a container that can hold 0.5 liters of liquid?

500 ml (D) Signup and view all the answers

A person weighs 65 kilograms. How many tonnes is that?

0.065 t (A) Signup and view all the answers

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

cm (B), mm (C) Signup and view all the answers

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

length × width (D) Signup and view all the answers

What is the definition of a perpendicular line?

A line that is at an angle of 90° to a given line (D) Signup and view all the answers

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

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

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

To provide a way to measure the distance between two points (A) Signup and view all the answers

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

side₁ + side₂ + side₃ (C) Signup and view all the answers

What is the definition of a circle's radius?

The length from the centre to the edge of the circle (B) Signup and view all the answers

What is the disadvantage of using a number scale?

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

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

Measure the length of one segment, calculate how many segments fit the measured distance, and multiply by the distance represented by one segment (D) Signup and view all the answers

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

(Measured Distance on Map × Scale Factor) / Length of One Segment (C) Signup and view all the answers

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

side × side (A) Signup and view all the answers

What is the advantage of using a bar scale?

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

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

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

What is the purpose of a scale on a map?

To provide a ratio for measuring distances (B) Signup and view all the answers

How can the area of a shape be estimated without using a formula?

By counting the number of squares on a square grid (B) Signup and view all the answers

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

To make the directions easier to understand (D) Signup and view all the answers

What is the primary purpose of a floor plan?

To show the layout of a building or structure (C) Signup and view all the answers

What is the advantage of using a number scale?

It is simpler to use than a bar scale (D) Signup and view all the answers

What is the disadvantage of using a bar scale?

It is more complex to use than a number scale (B) Signup and view all the answers

What is the purpose of a scale on a map?

To provide a way to measure the distance between two points (C) Signup and view all the answers

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

To show the relationship between the map and the real world (A) Signup and view all the answers

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

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

What is the primary purpose of a floor plan?

To show the layout of a building or structure (B) Signup and view all the answers

What is the purpose of using symbols in floor plans?

To represent common elements such as toilets and windows (B) Signup and view all the answers

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

Volume = Length × Width × Height (D) Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a floor plan?

To consider the arrangement of furniture and fixtures (B) Signup and view all the answers

What is the probability of an impossible event?

0 (A) Signup and view all the answers

What is the purpose of a probability scale?

To describe the likelihood of an event occurring (D) Signup and view all the answers

What is the formula for calculating the area of a rectangular shape?

Area = Length × Width (C) Signup and view all the answers

What is the purpose of packing arrangements in limited spaces?

To determine how many items can fit in a limited space (B) Signup and view all the answers

What is the formula to describe a linear relationship?

y = mx + c (B) Signup and view all the answers

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

an (A) Signup and view all the answers

How do you recognize an inverse proportion relationship?

If the points form a curve (A) Signup and view all the answers

What is the formula to rewrite the linear formula using variables to represent the cost and the number of items?

c = 2 + 4b (A) Signup and view all the answers

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

To describe the pattern of the sequence using variables (A) Signup and view all the answers

What is the definition of a fair game?

A game that has an equal chance of winning or losing. (C) Signup and view all the answers

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

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

What is the purpose of a tree diagram?

To show all possible outcomes of an event. (B) Signup and view all the answers

What is the definition of relative frequency?

The number of times an event occurs divided by the total number of trials. (D) Signup and view all the answers

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

P(not E) = 1 - P(E) (B) Signup and view all the answers

What is the purpose of weather predictions?

To make decisions based on the probability of certain weather conditions. (A) Signup and view all the answers

What is the purpose of estimating answers to calculations?

To think about a problem before working it out and check answers for accuracy (D) Signup and view all the answers

What is the correct order of operations in a mathematical expression?

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

What is the definition of a trial?

A test, like tossing a coin or rolling a dice. (C) Signup and view all the answers

How do you multiply a number by 10?

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

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

To calculate the probability of combined events. (D) Signup and view all the answers

What is the definition of an outcome?

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

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

Displays the number stored in memory (D) Signup and view all the answers

How do you read and write a large number?

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

What is the definition of an event?

A collection of one or more outcomes. (D) Signup and view all the answers

What is a common fraction?

A fraction where the numerator is smaller than the denominator (C) Signup and view all the answers

How do you add and subtract fractions?

Convert the fractions to have a common denominator before performing the operation (D) Signup and view all the answers

What is the purpose of a place value table?

To determine the value of each digit in a number (B) Signup and view all the answers

How do you write a whole number in words?

Separate the number into groups of three digits and write each group separately (B) Signup and view all the answers

What is the purpose of using brackets in a mathematical expression?

To indicate the order of operations (B) Signup and view all the answers

What is the purpose of estimating in mathematics?

To check the accuracy of calculations (D) Signup and view all the answers

What is the order of operations in the BODMAS rule?

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

What is the result of multiplying a number by 10?

The number is shifted to the left by one digit (B) Signup and view all the answers

What is a mixed number?

A whole number combined with a fraction (B) Signup and view all the answers

How do you convert an improper fraction to a mixed number?

Divide the numerator by the denominator (C) Signup and view all the answers

What is the purpose of using a place value table?

To compare numbers (A) Signup and view all the answers

What is the result of rounding a number to the nearest 10?

The number is rounded to the nearest 10 based on the units digit (A) Signup and view all the answers

What is the definition of a ratio?

A comparison of two or more numbers of the same type (D) Signup and view all the answers

What is the purpose of using graphs in mathematics?

To display relationships between two variables (A) Signup and view all the answers

What is the definition of a positive number?

A number greater than zero (C) Signup and view all the answers

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

To visualize the relationship between two quantities and make it easier to understand data (C) Signup and view all the answers

What is the characteristic of a discrete graph?

It represents whole numbers and is shown by points connected with dotted lines (D) Signup and view all the answers

What does the steepness of a graph indicate?

The rate of change: steeper slopes show quicker changes, while gradual slopes show slower changes (D) Signup and view all the answers

What is the formula for a linear relationship?

y = mx + c (B) Signup and view all the answers

What is the purpose of identifying patterns in data?

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

What does the horizontal axis (x-axis) indicate when a graph touches it?

The dependent variable has reached zero (C) Signup and view all the answers

What is the characteristic of an increasing graph?

The slope goes up from left to right, indicating a rise in values (B) Signup and view all the answers

What is the formula for inverse proportions?

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

What is the purpose of plotting points on a grid?

To represent the relationship between the independent and dependent variables (C) Signup and view all the answers

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

Start at the origin (0,0) (D) Signup and view all the answers

What is the volume in millilitres of a container that can hold 3.5 litres?

3500 (A) Signup and view all the answers

What is the conversion factor from kilograms to grams?

1 kg = 1000 g (D) Signup and view all the answers

What is the formula to convert millilitres to cups?

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

What is the instrument used to measure distance in meters?

Trundle Wheel (D) Signup and view all the answers

What is the formula to calculate the total cost of an item based on its weight?

Total Cost = Weight Needed × Price per Kilogram (D) Signup and view all the answers

What is the conversion factor from tonnes to kilograms?

1 tonne = 1000 kg (C) Signup and view all the answers

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

Measuring Jugs (A) Signup and view all the answers

What is the formula to convert teaspoons to milliliters?

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

What is the conversion factor from cups to milliliters?

1 cup = 250 ml (C) Signup and view all the answers

What is the formula to convert grams to milligrams?

Weight in mg = Weight in g × 1000 (C) Signup and view all the answers

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

Bathroom Scales (C) Signup and view all the answers

What is the purpose of a scale on a map?

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

What is the advantage of using a number scale?

It is simple to use and requires measuring only one distance (A) Signup and view all the answers

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

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

What is the disadvantage of using a number scale?

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

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

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

What is the advantage of using a bar scale?

It remains accurate when the map is resized (C) Signup and view all the answers

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

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

What is the purpose of drawing a scaled map?

To accurately represent the actual dimensions of objects or distances (C) Signup and view all the answers

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

Measurement on Plan = Real-life Measurement / Scale Factor (C) Signup and view all the answers

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

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

What is the purpose of analyzing the layout of a structure shown on a floor plan?

To understand the arrangement of furniture and fixtures (D) Signup and view all the answers

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

To enable navigation through different environments (D) Signup and view all the answers

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

Volume = Length x Width x Height (C) Signup and view all the answers

What is the primary purpose of a floor plan?

To provide a visual representation of a structure (C) Signup and view all the answers

What is the purpose of using symbols in floor plans?

To identify the location of specific features (C) Signup and view all the answers

What is the probability of an impossible event?

0 (C) Signup and view all the answers

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

To help the person following the directions understand the route (B) Signup and view all the answers

What is the advantage of using a number scale?

It is easier to convert between units (B) Signup and view all the answers

What is the purpose of a probability scale?

To show the likelihood of an event occurring (C) Signup and view all the answers

What is the primary purpose of a floor plan?

To show the layout of a building or structure (D) Signup and view all the answers

What is the definition of the perimeter of a shape?

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

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

A = length × width (A) Signup and view all the answers

What is the definition of a circle's radius?

The length from the centre to any point on the edge of the circle (B) Signup and view all the answers

How can the area of a shape be estimated without using a formula?

By placing a square grid over the area and counting how many squares fit within the shape (C) Signup and view all the answers

What is the definition of a scale on a map?

A ratio representing the distance on the map to the actual distance in reality (D) Signup and view all the answers

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

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

What is the definition of a perpendicular line?

A line that lies at an angle of 90° to a given line, plane, or surface (B) Signup and view all the answers

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

A = π × radius^2 (C) Signup and view all the answers

What is the definition of a rectangle?

A flat two-dimensional shape with both pairs of opposite sides equal in length and all adjacent sides at right angles to each other (B) Signup and view all the answers

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

P = side_1 + side_2 + side_3 (D) Signup and view all the answers

What is the purpose of estimating answers to calculations?

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

How do you read and write large numbers?

Read and write each group separately (C), Separate numbers into groups of three digits (D) Signup and view all the answers

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

BODMAS (B) Signup and view all the answers

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

an (B) Signup and view all the answers

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

To add a number to the memory (B) Signup and view all the answers

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

Zero (A) Signup and view all the answers

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

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

What does the variable c represent in the formula y = mx + c?

The cost (B) Signup and view all the answers

How do you multiply a number by 10?

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

What is the definition of a proper fraction?

Numerator is smaller than the denominator (D) Signup and view all the answers

What is the purpose of plotting points on a graph?

To visualize the relationship between variables (B) Signup and view all the answers

What is the general formula used to describe a linear relationship?

y = mx + c (A) Signup and view all the answers

What is the purpose of using a place value table?

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

What is the result of multiplying a positive number by its opposite?

Zero (A) Signup and view all the answers

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

To change the sign of a number (B) Signup and view all the answers

What is the definition of a fair game?

A game that has an equal chance of winning or losing (C) Signup and view all the answers

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

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

What is the purpose of a tree diagram?

To show all possible outcomes of an event (D) Signup and view all the answers

What is the definition of a complement of an event?

The probability of the event not occurring (D) Signup and view all the answers

What is the purpose of analyzing past weather data in weather predictions?

To determine the probability of rain (D) Signup and view all the answers

What is the definition of a relative frequency?

The number of times an event occurs divided by the total number of trials (D) Signup and view all the answers

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

To show the outcomes of two events, making it easier to calculate combined probabilities (B) Signup and view all the answers

What is the definition of an outcome?

The result of a single trial (D) Signup and view all the answers

What is the purpose of a probability scale?

To show the probability of an event (B) Signup and view all the answers

What is the definition of a random event?

An event that occurs without being made to happen deliberately (D) Signup and view all the answers

What is the purpose of estimating in maths?

To think about a problem before solving it (D) Signup and view all the answers

What is the correct order of operations in an expression?

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

What is the result of multiplying a number by 10?

The number is shifted one digit to the left (C) Signup and view all the answers

What is the definition of a proper fraction?

Numerator is less than the denominator (A) Signup and view all the answers

What is the purpose of using a place value table?

To compare numbers (B) Signup and view all the answers

What is the definition of a ratio?

Comparison of two or more numbers of the same type (A) Signup and view all the answers

What is the purpose of using a calculator?

To perform calculations quickly and accurately (C) Signup and view all the answers

What is the definition of a negative number?

A number less than zero (A) Signup and view all the answers

What is the purpose of rounding numbers?

To simplify numbers and make them easier to understand (C) Signup and view all the answers

What is the formula to calculate the percentage of a number?

Convert the percentage to a decimal and multiply by the number (D) Signup and view all the answers

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

The type of data being represented (B) Signup and view all the answers

What is the independent variable in a graph?

The variable that stands alone and isn't affected by other variables (B) Signup and view all the answers

What does a steep slope on a graph indicate?

A fast rate of change (B) Signup and view all the answers

What is the formula for a linear relationship?

y = mx + c (A) Signup and view all the answers

What does it mean when a graph touches the horizontal axis?

The dependent variable has reached zero (B) Signup and view all the answers

What is the purpose of identifying patterns in a graph?

To develop a rule or formula to describe the pattern (B) Signup and view all the answers

What is the formula for an inverse proportion?

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

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

Start at the origin (0,0) (D) Signup and view all the answers

What does an increasing graph indicate?

A rise in values (B) Signup and view all the answers

What is the purpose of graph interpretation?

To visualize the relationship between two quantities (B) Signup and view all the answers

What is the length in centimetres of an object that measures 500 millimetres?

50 (D) Signup and view all the answers

If a car travels 6250 metres, how many kilometres does it travel?

6.25 (A) Signup and view all the answers

What is the volume in litres of 2500 millilitres?

2.5 (D) Signup and view all the answers

If a bottle holds 3.2 litres, how many millilitres does it hold?

3200 (A) Signup and view all the answers

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

2.5 (B) Signup and view all the answers

If a container holds 5000 millilitres, how many litres does it hold?

5 (B) Signup and view all the answers

What is the length in metres of an object that measures 7500 millimetres?

7.5 (A) Signup and view all the answers

If a car travels 3750 kilometres, how many metres does it travel?

3750000 (D) Signup and view all the answers

What is the conversion factor from kilograms to grams?

1000 (B) Signup and view all the answers

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

Weight in kg = Weight in t × 1000 (D) Signup and view all the answers

What is the conversion factor from millilitres to cups?

250 (B) Signup and view all the answers

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

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

What instrument is used to measure the weight of a large object?

Weighbridges (A) Signup and view all the answers

What is the formula to calculate the total cost of an item based on its length?

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

What is the conversion factor from grams to milligrams?

1000 (D) Signup and view all the answers

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

Odometer (C) Signup and view all the answers

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

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

What is the conversion factor from kilograms to tonnes?

0.001 (C) Signup and view all the answers

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

P = 4 × side (D) Signup and view all the answers

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

cm² (D) Signup and view all the answers

What is the definition of a circle's radius?

The length from the centre to any point on the edge of the circle (D) Signup and view all the answers

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

A = length × width (C) Signup and view all the answers

What is the purpose of a scale on a map?

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

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

To accurately represent the real-world distances (C) Signup and view all the answers

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

Bar scales adjust proportionally when resizing maps (A) Signup and view all the answers

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

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

What is the definition of a perpendicular line?

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

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

Measure the distance on the map and multiply by the scale factor (C) Signup and view all the answers

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

P = side₁ + side₂ + side₃ (D) Signup and view all the answers

What is the disadvantage of using a number scale?

It becomes inaccurate when the map is resized (C) Signup and view all the answers

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

It is easier to read and understand (A) Signup and view all the answers

How do you draw a scaled map from real dimensions?

Measure the actual dimensions and divide by the scale factor (B) Signup and view all the answers

What is the purpose of using scales on maps?

To accurately represent the real-world distances (B) Signup and view all the answers

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

A = π × radius² (D) Signup and view all the answers

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

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

What is the advantage of using a number scale?

It requires measuring only one distance (C) Signup and view all the answers

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

To help navigate through different environments (C) Signup and view all the answers

What is the primary purpose of a floor plan?

To show the layout of a structure (B) Signup and view all the answers

What is the formula to describe a linear relationship?

y = mx + c (B) Signup and view all the answers

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

an (D) Signup and view all the answers

How do you recognize a linear relationship from a graph?

If the points form a straight line (A) Signup and view all the answers

What is the formula to describe an inverse proportion relationship?

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

What is the purpose of a floor plan?

To show the layout of a building or room (A) Signup and view all the answers

What is the term for rewriting a formula using variables to represent positions and values in the sequence?

General Formula (C) Signup and view all the answers

What is the formula to calculate the volume of a rectangular prism?

Length x Width x Height (C) Signup and view all the answers

What is the purpose of using symbols in floor plans?

To represent common elements like toilets and stairs (D) Signup and view all the answers

What is the probability of an impossible event?

0 (C) Signup and view all the answers

What is the purpose of a probability scale?

To describe the likelihood of an event occurring (B) Signup and view all the answers

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

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

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

To ensure the person can easily follow the directions (D) Signup and view all the answers

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

It is easier to calculate distances with a number scale (B) Signup and view all the answers

What is the purpose of analyzing the layout of a structure shown on a floor plan?

To understand the arrangement of furniture and fixtures (D) Signup and view all the answers

What is the formula for calculating the area of a rectangular shape?

Length x Width (C) Signup and view all the answers

When reading and writing large numbers, how do you separate them?

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

What is the purpose of estimating answers to calculations?

To think about a problem before working it out (D) Signup and view all the answers

What does the M+ key on a calculator do?

Adds a number to the memory (C) Signup and view all the answers

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

BODMAS (C) Signup and view all the answers

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

Zero (D) Signup and view all the answers

How do you multiply a number by 10?

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

What is the definition of a proper fraction?

Numerator is smaller than the denominator (A) Signup and view all the answers

What is the purpose of a place value table?

To determine the value of each digit (C) Signup and view all the answers

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

One (C) Signup and view all the answers

What is the convention for writing whole numbers in words?

Separate numbers into groups of three digits starting from the right (B) Signup and view all the answers

What is the definition of a fair game?

A game that has an equal chance of winning or losing (C) Signup and view all the answers

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

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

What is used to show all possible outcomes of an event?

Tree diagram (A) Signup and view all the answers

What is the complement of an event?

P(not E) = 1 - P(E) (B) Signup and view all the answers

What is the purpose of weather predictions?

To analyze past weather data to make predictions (C) Signup and view all the answers

What is the definition of a random event?

An event that occurs without being made to happen deliberately (B) Signup and view all the answers

What is the purpose of using a relative frequency?

To analyze the results of an experiment (C) Signup and view all the answers

What is the formula to calculate the relative frequency of an event?

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

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

To show the outcomes of two events (C) Signup and view all the answers

What is the definition of a trial?

A test, like tossing a coin or rolling a dice (A) Signup and view all the answers

What is the main purpose of estimating in mathematics?

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

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

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

What is the order of operations in mathematics?

BODMAS: Brackets, Orders, Division, Multiplication, Subtraction, Addition (D) Signup and view all the answers

What is a mixed number in mathematics?

A whole number combined with a fraction (A) Signup and view all the answers

How do you multiply a number by 10?

Shift each digit to the left by 1 place (D) Signup and view all the answers

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

To compare numbers (D) Signup and view all the answers

What is the definition of a positive number in mathematics?

A number greater than zero (A) Signup and view all the answers

How do you calculate the percentage of a given amount?

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

What is the definition of a ratio in mathematics?

A comparison of two or more numbers of the same type (D) Signup and view all the answers

What is the purpose of using graphs in mathematics?

To display relationships between two variables (A) Signup and view all the answers

What is the purpose of interpreting graphs?

To visualize the relationship between two quantities (B) Signup and view all the answers

What is the characteristic of a discrete graph?

Represents whole numbers and is shown by points connected with dotted lines (D) Signup and view all the answers

What is the dependent variable in a graph?

The variable that changes in response to the independent variable (A) Signup and view all the answers

What does the vertical axis (y-axis) indicate?

The starting value of the dependent variable (B) Signup and view all the answers

What is the formula for a linear relationship?

y = mx + c (C) Signup and view all the answers

What is the characteristic of an increasing graph?

The slope goes up from left to right (D) Signup and view all the answers

What is the purpose of identifying patterns in data?

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

What is the formula for inverse proportions?

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

What is the step to plot a point on a grid?

Start at the origin (0,0) and move along the horizontal x-axis, then along the vertical y-axis (C) Signup and view all the answers

What is the purpose of finding rules or formulas for patterns?

To develop a rule or formula to describe the pattern (A) Signup and view all the answers

Gr10 Math Lit: November test medium P(2)

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Questions and Answers

What is the conversion factor from millimetres to centimetres?

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

What is the conversion factor from litres to kilolitres?

What is the unit of measurement for weight or mass that is equal to 1000 grams?

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

What is the conversion factor from millilitres to litres?

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

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

What is the conversion factor for grams to kilograms?

What is the formula for converting milligrams to grams?

What is the conversion factor for cups to milliliters?

What instrument is used to measure distance in meters?

What is the formula for calculating the total cost of an item based on its weight?

What is the conversion factor for kilograms to tonnes?

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

What is the formula for converting teaspoons to milliliters?

What is the unit of measurement for temperature?

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

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

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

What is the definition of a circle's diameter?

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

What is the definition of a perpendicular line?

What is the purpose of a scale on a map?

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

How can the area of a shape be estimated without using a formula?

What is the definition of a circle's circumference?

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

What is the purpose of a scale on a map?

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

What is the advantage of using a bar scale?

What does a scale of 1:50 represent in a map?

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

What is the disadvantage of using a number scale?

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

How do you draw a scaled map from real dimensions?

What is the primary purpose of a floor plan?

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

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

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

What is the advantage of using a number scale?

What is the disadvantage of using a bar scale?

What is the purpose of a probability scale?

What is the probability of an impossible event?

What is the purpose of using scales on maps?

What is the purpose of using symbols in floor plans?

What is the purpose of analyzing the layout of a structure shown on a floor plan?

What is the formula for calculating the area of a rectangular shape?

What is the purpose of estimating answers to calculations?

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

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

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

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

What is the function of the Change Sign key on a calculator?

What is the result of multiplying a number by 10?

What is the purpose of a place value table?

What is the definition of a proper fraction?

What is the formula to describe a linear relationship?

What is the purpose of using a convention for number representation?

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

How do you identify a linear relationship?

What is the formula to describe an inverse proportion relationship?

What is the purpose of rewriting a formula using variables?

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

What is the purpose of a tree diagram?

What is the definition of a fair game?

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

What is the purpose of a two-way table?

What is the definition of an outcome?

What is the definition of an event?

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

What is the purpose of weather predictions?

What is the convention for writing numbers in South Africa?

What is the purpose of estimating in maths?

What is the rule for ordering numbers in a place value table?

What is the order of operations in BODMAS?