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

What is the unit of length equal to 1000 meters?

  • decimetre
  • kilometre (correct)
  • millimetre
  • centimetre

    • How many millimetres are equal to 1 centimetre?

  • 15
  • 10 (correct)
  • 5
  • 20

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

  • Length in m = Length in cm / 10
  • Length in m = Length in cm x 100
  • Length in m = Length in cm / 100 (correct)
  • Length in m = Length in cm x 10

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

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

    How many millilitres are equal to 1 litre?

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

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

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

    What is the conversion factor for milligrams to grams?

    <p>1000 mg = 1 g</p> Signup and view all the answers

    What is the unit of weight equal to 1000 kilograms?

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

    How many grams are equal to 1 kilogram?

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

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

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

    What is the conversion factor for cups to milliliters?

    <p>1 cup = 250 ml</p> Signup and view all the answers

    What is the formula to convert teaspoons to milliliters?

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

    What instrument is used to measure distance in meters?

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

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

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

    What is the conversion factor for kilograms to grams?

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

    What is the instrument used to measure volume in 1 liter?

    <p>Measuring Jugs</p> Signup and view all the answers

    What is the unit of measurement for temperature?

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

    What is the purpose of an Odometer?

    <p>To measure distance traveled by a vehicle</p> Signup and view all the answers

    What is the freezing point of water at sea level?

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

    What is the term for the total length of the outside of a shape?

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

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

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

    What is the term for a flat, two-dimensional shape with all four sides equal in length?

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

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

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

    What is the term for a straight line that lies at an angle of 90° to a given line, plane, or surface?

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

    What is the ratio representing the distance on the map to the actual distance in real life?

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

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

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

    What is the term for a graphical representation of distances on a map?

    <p>Bar Scale</p> Signup and view all the answers

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

    <p>mm², cm², m², or km²</p> Signup and view all the answers

    What is the definition of the scale of a map?

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

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

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

    What is the advantage of using a number scale?

    <p>It is simple to use and requires measuring only one distance</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

    <p>It becomes incorrect if the map is resized because the scale does not adjust proportionally</p> Signup and view all the answers

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

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

    What is the advantage of using a bar scale?

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

    How do you draw a scaled map from real dimensions?

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

    What is the formula to find the scaled measurement from real dimensions?

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

    Why is it essential to understand how to use scale maps and give clear directions?

    <p>So you can navigate through different environments</p> Signup and view all the answers

    What does a scale of 1:50 mean on a map?

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

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

    <p>To make the directions easier to understand</p> Signup and view all the answers

    What is the purpose of a seating plan in a cinema or theatre?

    <p>To show the location of seats in relation to aisles and the screen</p> Signup and view all the answers

    What does a floor plan show?

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

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

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

    What is the formula for calculating the volume of a box?

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

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

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

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

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

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

    <p>To make the floor plan more understandable</p> Signup and view all the answers

    What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

    <p>To determine the overall functionality of the space</p> Signup and view all the answers

    What is the correct way to read and write large numbers?

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

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the correct order of operations in calculations?

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

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

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

    What is the term for a fraction whose numerator is larger than the denominator?

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

    How do you multiply a number by 10?

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

    What is the purpose of a place value table?

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

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

    <p>Divide by the denominator</p> Signup and view all the answers

    What is the convention for writing whole numbers in words?

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

    What is the main purpose of estimating in mathematics?

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

    What is the correct order of operations in BODMAS?

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

    What is the result of multiplying a number by 10?

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

    What is a proper fraction?

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

    What is the formula for describing a linear relationship?

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

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

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

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

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

    What is the definition of a positive number?

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

    How do you identify a linear relationship on a graph?

    <p>The points form a straight line</p> Signup and view all the answers

    What is the rule for rounding to the nearest 10?

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

    What is the formula for describing an inverse proportion relationship?

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

    What is the term for a comparison of two or more numbers of the same type?

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

    How do you write data points on a graph?

    <p>As ordered pairs (x, y)</p> Signup and view all the answers

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

    <p>100%</p> Signup and view all the answers

    What is the purpose of a graph in mathematics?

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

    What is the purpose of a tree diagram?

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

    What is the feature of an increasing graph?

    <p>The slope goes up from left to right</p> Signup and view all the answers

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

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

    What is the 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 over another</p> Signup and view all the answers

    What is the purpose of calculating the relative frequency of an event?

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

    What is the difference between an outcome and an event?

    <p>An outcome is a single result, while an event is a collection of outcomes</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)</p> Signup and view all the answers

    What is the purpose of a two-way table?

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

    What is the difference between theoretical probability and relative frequency?

    <p>Theoretical probability is the calculated probability of an event, while relative frequency is the actual result of an experiment</p> Signup and view all the answers

    What is a convention in number formats?

    <p>A standard way of doing something</p> Signup and view all the answers

    What is an independent variable in a graph?

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

    What type of graph represents whole numbers?

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

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

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

    What is the formula for a linear relationship?

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

    What does the slope of a graph represent?

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

    What type of graph shows a continuous change in values?

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

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

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

    What is the formula for an inverse proportional relationship?

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

    What is the purpose of identifying patterns in a graph?

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

    What does the steepness of a graph indicate?

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

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

    <p>300 cm</p> Signup and view all the answers

    If a car travels 2500 meters in 1 kilometer, how many meters does it travel in 1 kilometer?

    <p>2500 m</p> Signup and view all the answers

    What is the volume in liters of a container that holds 2000 milliliters?

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

    If a truck weighs 2500 kilograms, what is its weight in tonnes?

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

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

    <p>7.5 m</p> Signup and view all the answers

    What is the volume in kiloliters of a container that holds 3000 liters?

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

    If a bag weighs 500 grams, what is its weight in kilograms?

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

    What is the length in kilometers of an object that is 12,000 meters long?

    <p>1.2 km</p> Signup and view all the answers

    What is the conversion factor to convert milligrams to grams?

    <p>1 mg = 0.001 g</p> Signup and view all the answers

    What is the formula to convert teaspoons to millilitres?

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

    What is the purpose of using a trundle wheel?

    <p>To measure distance in meters</p> Signup and view all the answers

    What is the formula to convert kilograms to tonnes?

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

    What is the unit of measurement for the volume of a liquid?

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

    What is the purpose of using a measuring spoon?

    <p>To measure volume in millilitres</p> Signup and view all the answers

    What is the conversion factor to convert cups to millilitres?

    <p>1 cup = 250 ml</p> Signup and view all the answers

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

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

    What is the formula to convert grams to kilograms?

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

    What is the purpose of using a measuring jug?

    <p>To measure volume in millilitres</p> Signup and view all the answers

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

    <p>P = side_1 + side_2 + side_3</p> Signup and view all the answers

    What is the definition of the circumference of a circle?

    <p>The distance around the curved edge of a circle</p> Signup and view all the answers

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

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

    What is the purpose of a scale on a map?

    <p>To represent the actual distance in real life</p> Signup and view all the answers

    What is the definition of a perpendicular line?

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

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

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

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

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

    What is the definition of a square?

    <p>A flat, two-dimensional shape with all four sides equal in length</p> Signup and view all the answers

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

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

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

    <p>To represent the actual distance or size in real life</p> Signup and view all the answers

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

    <p>To accurately represent the distance between locations</p> Signup and view all the answers

    What is the difference between a number scale and a bar scale?

    <p>A number scale is expressed as a ratio, while a bar scale is represented graphically</p> Signup and view all the answers

    What is the advantage of using a bar scale?

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

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

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

    What is the formula to find the scaled measurement from real dimensions?

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

    Why is it essential to understand how to use scale maps and give clear directions?

    <p>To navigate through different environments</p> Signup and view all the answers

    What is the purpose of using a seating plan in a cinema or theatre?

    <p>To show the layout of the seats</p> Signup and view all the answers

    What does a floor plan show?

    <p>The layout of the rooms and furniture</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is simpler to use than a bar scale</p> Signup and view all the answers

    What is the disadvantage of using a bar scale?

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

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

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

    What is the formula to calculate the volume of a box?

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

    What does a floor plan show?

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

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

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

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

    <p>To ensure the reader can easily follow the directions</p> Signup and view all the answers

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

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

    What is the purpose of a seating plan in a cinema or theatre?

    <p>To describe the position of seats in relation to aisles, exits, and the stage or screen</p> Signup and view all the answers

    What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

    <p>It is important to ensure the overall functionality of the space</p> Signup and view all the answers

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

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

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

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

    What is the difference between theoretical probability and relative frequency?

    <p>Theoretical probability is the calculated probability, while relative frequency is the actual result.</p> Signup and view all the answers

    When comparing digits to order numbers from smallest to largest, which column should you start from?

    <p>Leftmost column</p> Signup and view all the answers

    What is the purpose of a tree diagram?

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

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

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

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

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

    What is the difference between an outcome and an event?

    <p>An outcome is a single result, while an event is a collection of outcomes.</p> Signup and view all the answers

    Which of the following is a correct method for multiplying a number by 10?

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

    What is the purpose of weather predictions?

    <p>To make predictions about future weather based on past data.</p> Signup and view all the answers

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

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

    What is the convention for writing numbers in South Africa?

    <p>Using a decimal comma to separate whole numbers from decimal fractions.</p> Signup and view all the answers

    What is the correct way to separate numbers into groups of three digits when writing large numbers?

    <p>Starting from the right</p> Signup and view all the answers

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

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

    What is the purpose of a two-way table?

    <p>To show the outcomes of two events and make it easier to calculate combined probabilities.</p> Signup and view all the answers

    What is the correct way to convert a common fraction to a decimal fraction?

    <p>Use division to convert</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)</p> Signup and view all the answers

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

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

    What is the purpose of using place value tables?

    <p>To identify the value of each digit in a large number.</p> Signup and view all the answers

    What is the purpose of breaking down and multiplying when performing calculations?

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

    What is the purpose of writing numbers in words?

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

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

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

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

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

    Which of the following graphs would represent an inverse proportion relationship?

    <p>A curved line</p> Signup and view all the answers

    What is the formula to describe a linear relationship?

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

    What is the purpose of rewriting a formula using variables?

    <p>To represent positions and values in the sequence</p> Signup and view all the answers

    What is plotted on a graph to represent data points?

    <p>Ordered pairs (x, y)</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the definition of a proper fraction?

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

    What is the order of operations when using BODMAS?

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

    What is the main difference between discrete and continuous graphs?

    <p>Discrete graphs represent whole numbers, while continuous graphs represent measurements that can take any value within a range.</p> Signup and view all the answers

    What is the purpose of using a place value table?

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

    What is the definition of a negative number?

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

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

    <p>To represent the independent variable.</p> Signup and view all the answers

    What is the formula for an inverse proportion?

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

    What is the formula to calculate the percentage value?

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

    What is the definition of the dependent variable in a graph?

    <p>The variable that changes in response to the independent variable.</p> Signup and view all the answers

    What is the purpose of using ratio and proportion?

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

    What is the purpose of identifying patterns in a graph?

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

    What is the definition of a rate?

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

    What is the purpose of using a graph?

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

    What is the formula for a linear relationship?

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

    What does a steep slope on a graph indicate?

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

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

    <p>To represent the dependent variable.</p> Signup and view all the answers

    What is the definition of an increasing graph?

    <p>A graph that shows a rise in values.</p> Signup and view all the answers

    What is the purpose of interpreting graphs in Mathematical Literacy?

    <p>To identify patterns and understand the relationship between two quantities.</p> Signup and view all the answers

    What is the conversion factor for centimetres to millimetres?

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

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

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

    What is the conversion factor for litres to millilitres?

    <p>1 L = 1000 mL</p> Signup and view all the answers

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

    <p>Volume in L = Volume in mL ÷ 1000</p> Signup and view all the answers

    What is the conversion factor for kilograms to grams?

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

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

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

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

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

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

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

    What is the conversion factor for kilograms to grams?

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

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

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

    What instrument is used to measure the weight of bulky objects?

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

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

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

    What instrument is used to measure the volume of a liquid in 125 ml?

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

    What is the conversion factor for tonnes to kilograms?

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

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

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

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

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

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

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

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

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

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

    <p>P = side_1 + side_2 + side_3</p> Signup and view all the answers

    What is the definition of a perpendicular line?

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

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

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

    What is the term for the distance around the curved edge of a circle?

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

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

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

    What is the definition of the scale of a map?

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

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

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

    What is the term for a flat, two-dimensional shape with all four sides equal in length?

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

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

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

    What is the purpose of using scale maps?

    <p>To represent large distances or sizes in a more manageable way</p> Signup and view all the answers

    What is the purpose of a scale on a map?

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

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

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

    What is an advantage of using a bar scale?

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

    How do you draw a scaled map from real dimensions?

    <p>By using a formula to calculate the scaled measurements</p> Signup and view all the answers

    What does a scale of 1:100 mean on a map?

    <p>1 unit on the map equals 100 units in reality</p> Signup and view all the answers

    What is the purpose of using scales on maps?

    <p>To provide a reference for measuring distances</p> Signup and view all the answers

    What is the disadvantage of using a number scale?

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

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

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

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

    <p>To ensure the reader can easily follow the directions</p> Signup and view all the answers

    What does a floor plan show?

    <p>The arrangement of furniture and fixtures in a building</p> Signup and view all the answers

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

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

    What is the formula to calculate the volume of a box?

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

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

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

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

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

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

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

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

    <p>To make the directions easier to follow</p> Signup and view all the answers

    What is a floor plan?

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

    What is the purpose of using a seating plan in a cinema or theatre?

    <p>To show the location of the seats and aisles</p> Signup and view all the answers

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

    <p>It represents a large area in a smaller size</p> Signup and view all the answers

    What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

    <p>It makes the room more functional</p> Signup and view all the answers

    What is the purpose of breaking down and multiplying large numbers?

    <p>To make the calculation easier and more manageable</p> Signup and view all the answers

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

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

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

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

    What is the purpose of using a place value table?

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

    What is the effect of multiplying a number by 10?

    <p>Each digit is shifted one place to the left</p> Signup and view all the answers

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the definition of a fair game?

    <p>A game where both players have an equal chance of winning or losing.</p> Signup and view all the answers

    What is the purpose of using tree diagrams?

    <p>To show the probability of a compound event.</p> Signup and view all the answers

    What is the format for writing whole numbers in words?

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

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

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

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

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

    What is the definition of a relative frequency?

    <p>The number of times an event occurs divided by the total number of trials.</p> Signup and view all the answers

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

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

    What is the purpose of using two-way tables?

    <p>To show the probability of a compound event.</p> Signup and view all the answers

    What is the definition of an outcome?

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

    What is the formula to describe a linear relationship?

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

    What does the letter 'a_n' represent in a sequence?

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

    What is the definition of an event?

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

    What is the purpose of using weather predictions?

    <p>To make decisions based on past weather data.</p> Signup and view all the answers

    How do you identify a linear relationship from a graph?

    <p>The graph forms a straight line</p> Signup and view all the answers

    What is the formula to describe an inverse proportion relationship?

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

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

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

    What is the purpose of using place value tables?

    <p>To identify the value of each digit in a large number.</p> Signup and view all the answers

    What is the purpose of plotting points on a graph?

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

    What is the purpose of estimating in calculations?

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

    What is the order of operations in BODMAS?

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

    What is the result of multiplying a number by 10?

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

    What is the definition of a mixed number?

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

    What is the result of adding a positive and a negative number?

    <p>The result depends on the numbers being added</p> Signup and view all the answers

    What is the purpose of using a ratio?

    <p>To compare two numbers of the same type</p> Signup and view all the answers

    What is the definition of a percentage?

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

    What is the purpose of using a graph?

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

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

    <p>A quicker change in the relationship between two variables</p> Signup and view all the answers

    What is the purpose of using a calculator?

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

    What is the term for a variable that stands alone and isn't affected by other variables?

    <p>Independent variable</p> Signup and view all the answers

    What does a graph touching the horizontal axis indicate?

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

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

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

    What is the formula for identifying linear relationships?

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

    What does the steepness of a graph indicate?

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

    What is the purpose of interpreting graphs in Mathematical Literacy?

    <p>To visualize the relationship between two quantities and make sense of the data</p> Signup and view all the answers

    What is the term for a graph that opens downward, indicating a decrease in values?

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

    What is the formula for identifying inverse proportions?

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

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

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

    What is the purpose of identifying patterns in data?

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

    What is the length in centimetres of an object that is 2500 millimetres long?

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

    How many litres are equal to 3750 millilitres?

    <p>3.75 l</p> Signup and view all the answers

    A kilogram is equal to how many grams?

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

    What is the volume in kilolitres of a container that holds 2400 litres?

    <p>2.4 kl</p> Signup and view all the answers

    If a car travels 3750 metres, how many kilometres has it travelled?

    <p>3.75 km</p> Signup and view all the answers

    What is the length in metres of an object that is 375 centimetres long?

    <p>3.75 m</p> Signup and view all the answers

    If a bottle holds 2.5 litres of water, how many millilitres is it equal to?

    <p>2500 ml</p> Signup and view all the answers

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

    <p>2500 g</p> Signup and view all the answers

    If the scale of a map is 1:200, what is the actual distance in real life if the distance on the map is 5 cm?

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

    What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?

    <p>26 cm</p> Signup and view all the answers

    If the radius of a circle is 4 cm, what is its circumference?

    <p>16.56 cm</p> Signup and view all the answers

    What is the area of a triangle with a base of 6 cm and a height of 8 cm?

    <p>24 cm²</p> Signup and view all the answers

    If a piece of string is placed along the outline of a circle to measure its circumference, what is this method called?

    <p>Measuring circumference</p> Signup and view all the answers

    What is the formula to convert a measurement from a number scale to the real distance?

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

    What is the definition of a square?

    <p>A flat, two-dimensional shape with all four sides equal in length</p> Signup and view all the answers

    What is the term for the distance around the curved edge of a circle?

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

    If the scale of a map is 1:500, what is the actual distance in real life if the distance on the map is 2 cm?

    <p>100 m</p> Signup and view all the answers

    If a recipe requires 3 cups of flour, how many milliliters of flour are needed?

    <p>750 ml</p> Signup and view all the answers

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

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

    A builder needs 2500 kilograms of cement to complete a project. How many tonnes of cement are required?

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

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

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

    A recipe requires 2 tablespoons of oil. How many milliliters of oil are needed?

    <p>30 ml</p> Signup and view all the answers

    A water tank can hold 5000 liters of water. How many milliliters of water can it hold?

    <p>5000000 ml</p> Signup and view all the answers

    A builder needs to measure the length of a room. Which instrument would be most suitable for this task?

    <p>Measuring tape</p> Signup and view all the answers

    A recipe requires 1 teaspoon of salt. How many milliliters of salt are needed?

    <p>5 ml</p> Signup and view all the answers

    A person wants to buy a certain amount of fabric. The price is $5 per kilogram. If they need 2 kilograms, how much will they need to pay?

    <p>$10</p> Signup and view all the answers

    A water bottle can hold 1 liter of water. How many cups can it hold?

    <p>4 cups</p> Signup and view all the answers

    A person wants to buy a certain amount of sugar. The price is $2 per kilogram. If they need 500 grams, how much will they need to pay?

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

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

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

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

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

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

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

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

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

    What is the purpose of using a scale on a map when drawing a scaled map from real dimensions?

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

    What is the formula to find the scaled measurement from real dimensions?

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

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

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

    What is the disadvantage of using a bar scale when measuring distances on a map?

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

    What is the purpose of understanding how to use scale maps and give clear directions?

    <p>To navigate through different environments</p> Signup and view all the answers

    What is the definition of a scale of 1:50 on a map?

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

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

    <p>To reduce the risk of confusion and misinterpretation</p> Signup and view all the answers

    What is the advantage of using a scale of 1:50 on a map?

    <p>It enables the representation of large areas on a smaller scale</p> Signup and view all the answers

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

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

    What is the purpose of a floor plan?

    <p>To show the layout of a building or structure from a top view</p> Signup and view all the answers

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

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

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

    <p>To represent common elements such as toilets, lifts, and stairs</p> Signup and view all the answers

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

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

    What is the purpose of a seating plan in a cinema or theatre?

    <p>To understand the seat numbers and rows</p> Signup and view all the answers

    What is the importance of considering the arrangement of furniture and fixtures in a floor plan?

    <p>It affects the overall functionality of the space</p> Signup and view all the answers

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

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

    What is the primary purpose of using the acronym BODMAS in calculations?

    <p>To follow the correct order of operations when working with numbers and brackets</p> Signup and view all the answers

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

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

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

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

    What is the correct way to read and write large numbers?

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

    What is the purpose of using a memory key on a calculator?

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

    What is the purpose of using a decimal fraction?

    <p>To convert fractions to decimals</p> Signup and view all the answers

    What is the purpose of identifying the starting value and the rate of change in a linear pattern?

    <p>To rewrite the linear formula using variables</p> Signup and view all the answers

    What is the purpose of using a place value table when working with fractions?

    <p>To add and subtract fractions with different denominators</p> Signup and view all the answers

    In the formula y = mx + c, what does the variable c represent?

    <p>The cost of an item</p> Signup and view all the answers

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

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

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

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

    What is the graph shape of an inverse proportion relationship?

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

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

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

    What is the purpose of plotting points on a graph?

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

    What is the key difference between theoretical probability and relative frequency?

    <p>Theoretical probability is the calculated probability of an event, whereas relative frequency is the actual result of an experiment.</p> Signup and view all the answers

    What is the purpose of using tree diagrams in probability?

    <p>To visualize all possible outcomes of an event or series of events.</p> Signup and view all the answers

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

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

    What is the purpose of using two-way tables in probability?

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

    What is the definition of a fair game?

    <p>A game where the probability of winning or losing is equal.</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.</p> Signup and view all the answers

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

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

    What is the purpose of using a convention in number formats?

    <p>To represent numbers in a standardized way.</p> Signup and view all the answers

    What is the purpose of using a place value table?

    <p>To identify the value of each digit in a large number.</p> Signup and view all the answers

    What is the purpose of arranging numbers in order?

    <p>To compare and arrange numbers in a specific order.</p> Signup and view all the answers

    What type of graph is used to represent whole numbers, shown by points connected by dotted lines?

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

    What is the term for the variable that stands alone and isn't affected by other variables?

    <p>Independent Variable</p> Signup and view all the answers

    What is the formula for an inverse proportion, where y is the dependent variable and x is the independent variable?

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

    What is the purpose of identifying patterns in a graph?

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

    What is the term for the graphical representation of distances on a map?

    <p>Scale Map</p> Signup and view all the answers

    What is the formula for a linear relationship, where y is the dependent variable and x is the independent variable?

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

    What is the term for the rate of change in a graph?

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

    What is the purpose of interpreting graphs in Mathematical Literacy?

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

    What is the term for the point where the graph touches the horizontal axis?

    <p>X-intercept</p> Signup and view all the answers

    What is the purpose of finding patterns and formulas in Mathematical Literacy?

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

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

    <p>To understand the relative size of numbers</p> Signup and view all the answers

    When multiplying by 10, 100, and 1000, what happens to each digit in the number?

    <p>Each digit moves to the left by the number of zeros in the multiplier</p> Signup and view all the answers

    What is the purpose of estimating in mathematics?

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

    What is the order of operations when using brackets in an expression?

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

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

    <p>By converting the decimal to a fraction with a denominator of 10, 100, etc.</p> Signup and view all the answers

    What is the definition of a ratio?

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

    What is the purpose of calculating a percentage?

    <p>To find the proportion of a part to a whole</p> Signup and view all the answers

    What is the definition of a graph?

    <p>A diagram showing the relationship between two variables</p> Signup and view all the answers

    What is the purpose of using a formula to represent a pattern in a graph?

    <p>To identify the pattern in a graph</p> Signup and view all the answers

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