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

What is the standard way of doing something in South Africa when representing numbers?

  • Format
  • Counting
  • Convention (correct)
  • Measurement

    • What type of numbers are used to represent exact counts?

  • Order Numbers
  • Measurements
  • Counting Numbers (correct)
  • Money Amounts

    • How do you write numbers in words?

  • Read each group individually and name it from right to left
  • Separate the number into groups of three digits from right to left (correct)
  • Separate the number into groups of two digits from right to left
  • Read each group individually and name it from left to right

    • Why are large numbers easier to read in symbol form?

    <p>Due to the place value (D)</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

    How do you arrange numbers in order?

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

    What is the decimal fraction representation convention used in South Africa?

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

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

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

    What operation should be performed first when following the order of operations?

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

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the result of multiplying a number by 10?

    <p>The number is shifted one place to the left (A)</p> Signup and view all the answers

    What is a decimal fraction?

    <p>A way to write fractions with powers of ten as denominators (A)</p> Signup and view all the answers

    What is the purpose of the 'Change Sign' key on a calculator?

    <p>To change the sign of a number (B)</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 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 purpose of a place value table?

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

    What is the convention for writing numbers in South Africa?

    <p>Using a space to separate groups of three digits (D)</p> Signup and view all the answers

    What is the primary purpose of estimating in mathematics?

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

    What is the correct order of operations when evaluating expressions?

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

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

    <p>Shift each digit to the left by the number of zeros in the multiplier (A)</p> Signup and view all the answers

    What is the definition of a proper fraction?

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

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

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

    What is the definition of a ratio?

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

    How do you simplify a ratio?

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

    What is the definition of a percentage?

    <p>A fraction with a denominator of 100 (B)</p> Signup and view all the answers

    What is the purpose of graphs in mathematics?

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

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

    <p>Continuous graphs represent measurements that can take any value within a range, and discrete graphs represent whole numbers (A)</p> Signup and view all the answers

    What is the definition of an independent variable?

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

    What does a graph touching the horizontal axis indicate?

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

    What is the formula for an inverse proportion?

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

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

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

    What is the definition of a decreasing graph?

    <p>A graph with a slope that goes down from left to right (D)</p> Signup and view all the answers

    What is the formula for a linear relationship?

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

    What is the purpose of graph interpretation in Mathematical Literacy?

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

    What is the definition of a linear pattern?

    <p>A pattern that forms a straight line on a graph (A)</p> Signup and view all the answers

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

    <p>Plot the point where the two lines intersect (B)</p> Signup and view all the answers

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

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

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

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

    What is the conversion factor from millimetres to centimetres?

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

    What is the formula to convert millilitres to litres?

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

    What is the conversion factor from kilograms to tonnes?

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

    What is the formula to convert cups to millilitres?

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

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

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

    What is the conversion factor from grams to kilograms?

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

    What is the formula to convert milligrams to grams?

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

    What is the formula to convert teaspoons to millilitres?

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

    What is the conversion factor to convert teaspoons to milliliters?

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

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

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

    What is the conversion factor to convert kilograms to grams?

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

    What is the volume of a standard measuring cup?

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

    What is the normal human body temperature range?

    <p>36°C to 37°C (D)</p> Signup and view all the answers

    What is the purpose of a scale in a map?

    <p>To show the distance between locations (D)</p> Signup and view all the answers

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

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

    What is the formula for calculating the total cost of an item?

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

    What is the capacity of a standard bucket?

    <p>10 liters (B)</p> Signup and view all the answers

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

    <p>Measure the distance on the map, divide by the length of one segment, and multiply by the distance represented by one segment (A)</p> Signup and view all the answers

    What is the purpose of a scale on a map?

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

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

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

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

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

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

    <p>To make it easy for the person to follow the directions (C)</p> Signup and view all the answers

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

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

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

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

    What is the disadvantage of using a number scale?

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

    What is the purpose of a tree diagram in probability?

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

    How do you draw a scaled map from real dimensions?

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

    What is the formula to calculate the scaled measurement?

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

    What is the term for the number of times an event occurs in a trial?

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

    What is the purpose of using scales in maps?

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

    What is the purpose of a floor plan?

    <p>To show the location of furniture and other features in a building (D)</p> Signup and view all the answers

    What is the term for an event that is very likely to occur?

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

    What is the disadvantage of using a bar scale?

    <p>It requires measuring the length of one segment and calculating how many segments fit the measured distance (D)</p> Signup and view all the answers

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

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

    What is the purpose of using weather predictions?

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

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

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

    Which type of number is used to represent rates?

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

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

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

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

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

    What is the purpose of using codes in different contexts?

    <p>To identify objects or people (B)</p> Signup and view all the answers

    What is the alternative convention for representing decimal fractions in some contexts, such as bank statements?

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

    What is the purpose of comparing digits starting from the leftmost column when arranging numbers in order?

    <p>To compare the numbers column by column (A)</p> Signup and view all the answers

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

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

    What is the purpose of using the order of operations in calculations?

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

    What is the result of multiplying a number by 1000?

    <p>Shift each digit three places to the right (C)</p> Signup and view all the answers

    What is the purpose of converting fractions to have a common denominator?

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

    What is the definition of a mixed number?

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

    What is the purpose of the 'Change Sign' key on a calculator?

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

    What is the definition of a negative number?

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

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the purpose of estimating in mathematics?

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

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

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

    What is the definition of a proper fraction?

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

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

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

    What is the result of multiplying a number by 100?

    <p>The number shifted to the left by two digits (A)</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 graphs in mathematics?

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

    What is the definition of a rate?

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

    What is the formula to calculate a percentage?

    <p>Fraction × 100 (A)</p> Signup and view all the answers

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

    <p>A continuous graph represents measurements that can take any value, while a discrete graph represents whole numbers (B)</p> Signup and view all the answers

    What is the purpose of simplifying ratios?

    <p>To make the ratio easier to compare (A)</p> Signup and view all the answers

    What is the definition of a proportion?

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

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

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

    What is the formula for an inverse proportion?

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

    What is the definition of an independent variable?

    <p>A variable that stands alone and isn't affected by other variables (A)</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 definition of a decreasing graph?

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

    What is the formula for a linear relationship?

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

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

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

    What is the definition of a linear pattern?

    <p>A pattern that shows a constant rate of change (B)</p> Signup and view all the answers

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

    <p>Plot the point where the two lines intersect (A)</p> Signup and view all the answers

    What is the formula to convert milligrams to grams?

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

    What is the formula to convert centimetres to meters?

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

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

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

    What is the formula to convert litres to kilolitres?

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

    What is the conversion factor from millilitres to litres?

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

    What is the formula to convert cups to millilitres?

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

    What is the formula to convert teaspoons to millilitres?

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

    What is the formula to convert kilometres to meters?

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

    What is the formula to convert grams to kilograms?

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

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

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

    What is the formula to convert teaspoons to millilitres?

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

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

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

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

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

    What is the conversion factor from kilograms to tonnes?

    <p>1 kg = 0.001 tonnes (A)</p> Signup and view all the answers

    What is the purpose of a scale in a map?

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

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

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

    What is the definition of volume?

    <p>The amount of space an object occupies (B)</p> Signup and view all the answers

    What is the conversion factor from millilitres to litres?

    <p>1 ml = 0.001 L (D)</p> Signup and view all the answers

    What is the purpose of a thermometer?

    <p>To measure the temperature of an object (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 (C)</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 (A)</p> Signup and view all the answers

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

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

    What is the advantage of using a bar scale?

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

    How do you draw a scaled map from real dimensions?

    <p>Measure the actual dimensions and then divide by the scale factor (A)</p> Signup and view all the answers

    What is the formula to calculate the scaled measurement from an actual measurement?

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

    What is the disadvantage of using a number scale?

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

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

    <p>Measure the segment length, calculate how many segments fit the measured distance, and multiply by the segment's real distance (B)</p> Signup and view all the answers

    What is the purpose of using scales on maps?

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

    What is the advantage of using a number scale?

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

    What is the disadvantage of using a bar scale?

    <p>It requires measuring the length of one segment and then calculating how many segments fit the measured distance (A)</p> Signup and view all the answers

    What is the first step in creating a scale drawing of a room?

    <p>Determine the scale by finding the ratio of the real measurements. (D)</p> Signup and view all the answers

    What is the purpose of providing directions?

    <p>To help people navigate from one place to another. (D)</p> Signup and view all the answers

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

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

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

    <p>A fair game has an equal chance of winning or losing, while an unfair game is weighted to favor one player. (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 or series of events. (A)</p> Signup and view all the answers

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

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

    What is the complement of an event?

    <p>The probability of the event not occurring. (B)</p> Signup and view all the answers

    What is the purpose of weather predictions?

    <p>To analyze past weather data to make predictions about future weather. (D)</p> Signup and view all the answers

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

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

    What is the purpose of using floor plans?

    <p>To show the layout of a building or room. (A)</p> Signup and view all the answers

    What is the main purpose of estimating in mathematics?

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

    What is the correct order of operations when evaluating expressions?

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

    How do you simplify a ratio?

    <p>By dividing both terms by their greatest common divisor (B)</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 graphs in mathematics?

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

    What is the definition of an improper fraction?

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

    How do you calculate a percentage of a given amount?

    <p>By multiplying the percentage by the given amount (A)</p> Signup and view all the answers

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

    <p>A continuous graph represents measurements that can take any value within a range, and a discrete graph represents whole numbers (B)</p> Signup and view all the answers

    What is the definition of a rate?

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

    What does the horizontal axis (x-axis) represent in a graph?

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

    What type of graph represents measurement values and is shown with solid lines?

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

    What is the formula for an inverse proportion?

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

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

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

    What does it mean when a graph touches the vertical axis (y-axis)?

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

    What is the purpose of graph interpretation in Mathematical Literacy?

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

    What is the formula for a linear relationship?

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

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

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

    What does it mean when a graph is decreasing?

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

    What is the purpose of identifying patterns and relationships in graphs?

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

    What is the formula to convert teaspoons to millilitres?

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

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

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

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

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

    What is the conversion factor from millilitres to litres?

    <p>1 liter = 1000 ml (D)</p> Signup and view all the answers

    What type of scale is used to measure large quantities of food?

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

    What is the formula to convert teaspoons to millilitres?

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

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

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

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

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

    What is the instrument used to measure human body temperature?

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

    What is the formula to convert centimetres to meters?

    <p>( \text{Length in m} = \frac{\text{Length in cm}}{100} ) (A)</p> Signup and view all the answers

    What is the formula to convert kilograms to tonnes?

    <p>( \text{Weight in t} = \frac{\text{Weight in kg}}{1000} ) (A)</p> Signup and view all the answers

    What is the formula to convert millilitres to litres?

    <p>( \text{Volume in l} = \frac{\text{Volume in ml}}{1000} ) (D)</p> Signup and view all the answers

    What is the primary purpose of using spaces to separate groups of three digits in numbers?

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

    What is the formula to convert teaspoons to millilitres?

    <p>( \text{Volume in ml} = \text{Volume in tsp} \times 15 ) (D)</p> Signup and view all the answers

    Which type of number is used to represent financial values?

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

    What is the formula for an inverse proportion relationship?

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

    What is the purpose of a place value table?

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

    What is the conversion factor from milligrams to grams?

    <p>1000 mg = 1 g (D)</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

    How are numbers separated into groups in South Africa?

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

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

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

    What is the conversion factor from centimetres to millimetres?

    <p>1 cm = 100 mm (B)</p> Signup and view all the answers

    Which of the following is NOT a type of number used in different contexts?

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

    What is the formula to convert cups to millilitres?

    <p>( \text{Volume in ml} = \text{Volume in cups} \times 250 ) (A)</p> Signup and view all the answers

    What is the conversion factor from kilograms to grams?

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

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

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

    What is the correct order to compare digits when arranging numbers in order?

    <p>From left to right (B)</p> Signup and view all the answers

    What is the purpose of using the BODMAS rule?

    <p>To remember the order of operations (B)</p> Signup and view all the answers

    When converting a common fraction to a decimal fraction, what operation is used?

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

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

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

    How do you multiply a number by 100?

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

    What is the purpose of estimating answers to calculations?

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

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

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

    What is a mixed number?

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

    What is the purpose of 'breaking down and multiplying'?

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

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

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

    What is the purpose of using a place value table?

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

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

    <p>Real Distance = Measured Distance on Map × Scale Factor (B)</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 purpose of using a scale on a map?

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

    How do you use a bar scale to calculate the real distance?

    <p>Measure the length of one segment, then measure the distance on the map, calculate how many segments fit into the measured distance, and multiply by the scale distance (B)</p> Signup and view all the answers

    What is the definition of a scale?

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

    What is the advantage of using a number scale?

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

    What is the purpose of using scales in maps?

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

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

    <p>1 unit on the map is equal to 50 units in real life (A)</p> Signup and view all the answers

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

    <p>To make it easy for the person to follow the directions (A)</p> Signup and view all the answers

    What is the range of a probability scale?

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

    What is the definition of a fair game in probability?

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

    What is the purpose of a tree diagram in probability?

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

    What is the definition of an outcome in probability?

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

    What is the formula for the complement of an event?

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

    What is the purpose of weather predictions?

    <p>To analyze past weather data to predict future weather patterns (A)</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 purpose of separating numbers into groups of three digits when writing large numbers in words?

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

    What type of numbers are used to represent financial values?

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

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

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

    What is the purpose of using a place value table?

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

    What type of numbers are used to represent rates?

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

    How do you compare numbers when arranging them in order?

    <p>Starting from the leftmost column (A)</p> Signup and view all the answers

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

    <p>To ensure consistency and accuracy (A)</p> Signup and view all the answers

    What type of numbers are used to represent identification numbers?

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

    What is the main purpose of estimating in mathematics?

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

    Which of the following is an example of an improper fraction?

    <p>5/3 (B)</p> Signup and view all the answers

    What is the result of multiplying a number by 100?

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

    What is the purpose of using the BODMAS rule?

    <p>To perform calculations in the correct order (C)</p> Signup and view all the answers

    What type of graph represents a trend, such as the increase or decrease in prices over time?

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

    What is the definition of a rate?

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

    What is the purpose of calculating a percentage?

    <p>To express a value as a fraction of 100 (B)</p> Signup and view all the answers

    What is the definition of a steep slope in a graph?

    <p>A slope that indicates a quick change (A)</p> Signup and view all the answers

    What is the purpose of rounding numbers?

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

    What is the formula to convert tsp to ml?

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

    What is the definition of a proportion?

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

    What is the instrument used to measure the length of a room?

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

    What is the correct order of operations when evaluating expressions?

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

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

    <p>Total Cost = Weight Needed × Price per Kilogram (A), Total Cost = Length Needed × Price per Meter (C), Total Cost = Volume Needed × Price per Liter (D)</p> Signup and view all the answers

    What is 1 liter equal to in milliliters?

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

    What is the purpose of the 'Change Sign' key on a calculator?

    <p>To change the sign of a number from positive to negative or vice versa (B)</p> Signup and view all the answers

    What is the result of multiplying a number by 100?

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

    What is the purpose of a scale in map drawing?

    <p>To represent a real-life measurement on a map (A)</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 temperature at which water freezes at sea level?

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

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

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

    What is the definition of a mixed number?

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

    What is the purpose of a tree diagram in probability?

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

    What is the purpose of using brackets in calculations?

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

    What is the formula to convert ml to tsp?

    <p>Volume in ml ÷ 5 (D)</p> Signup and view all the answers

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

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

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

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

    What is the purpose of graph interpretation in Mathematical Literacy?

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

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

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

    What is the term for a game that has an equal chance of winning or losing?

    <p>Fair game (A)</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 converting fractions to decimal fractions?

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

    What is the scale of a map that represents 1 unit on the map as 100 units in reality?

    <p>1:100 (C)</p> Signup and view all the answers

    What is the definition of a negative number?

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

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

    <p>To show the measurement of the room (B)</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 formula to convert a measured distance on a map to the real distance?

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

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

    <p>To make multiplication and addition easier (D)</p> Signup and view all the answers

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

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

    What is the definition of an independent variable?

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

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

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

    What is the formula for the complement of an event?

    <p>P(not E) = 1 - P(E) (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 using a seating plan in a cinema?

    <p>To show the location of the seats (D)</p> Signup and view all the answers

    What is the definition of a decreasing graph?

    <p>A graph that shows a decline in values (A)</p> Signup and view all the answers

    What is the formula for an inverse proportion?

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

    What is the definition of a linear pattern?

    <p>A pattern that forms a straight line on a graph (C)</p> Signup and view all the answers

    What is the purpose of identifying patterns in data?

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

    What is the formula to convert millilitres to litres?

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

    What is the conversion factor from millimetres to centimetres?

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

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

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

    What is the formula to convert grams to kilograms?

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

    What is the formula to convert cups to millilitres?

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

    What is the formula to convert kilograms to tonnes?

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

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

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

    What is the formula to convert milligrams to grams?

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

    What is the disadvantage of using a number scale?

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

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

    <p>To calculate the real distance from the measured distance on the map (C)</p> Signup and view all the answers

    What is the formula to convert teaspoons to millilitres?

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

    What is the formula to convert litres to kilolitres?

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

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

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

    What is the formula to convert centimetres to metres?

    <p>Length in m = Length in cm ÷ 100 (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 is the formula to convert millilitres to litres?

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

    What is the disadvantage of using a bar scale?

    <p>It requires measuring the length of one segment and then calculating how many segments fit the measured distance (D)</p> Signup and view all the answers

    What are the two types of scales used on maps?

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

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