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

What is the conversion factor from millimetres to centimetres?

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

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

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

    • What is the conversion factor from litres to kilolitres?

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

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

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

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

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

    What is the conversion factor from millilitres to litres?

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

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

    <p>Kilometres</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 grams to kilograms?

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

    What is the formula for converting milligrams to grams?

    <p>Weight in g = Weight in mg ÷ 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 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 based on its weight?

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

    What is the conversion factor for kilograms to tonnes?

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

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

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

    What is the formula for converting teaspoons to milliliters?

    <p>Volume in ml = Volume in tsp × 5</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 instrument is used to measure the temperature of the human body?

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

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

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

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

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

    What is the definition of a circle's diameter?

    <p>The length from one edge of the circle to the other, passing through the centre</p> Signup and view all the answers

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

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

    What is the definition of a perpendicular line?

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

    What is the purpose of a scale on a map?

    <p>To show the proportion of the distance on the map to the actual distance</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

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

    <p>By placing a square grid over the shape and counting the number of squares</p> Signup and view all the answers

    What is the definition of a circle's circumference?

    <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 circle?

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

    What is the purpose of a scale on a map?

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

    What is the 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 advantage of using a bar scale?

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

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

    <p>1 unit on the map represents 50 units in real life</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 disadvantage of using a number scale?

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

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

    <p>To help the person following the directions to reach their destination quickly and easily</p> Signup and view all the answers

    How do you draw a scaled map from real dimensions?

    <p>Know the scale to be used and measure the actual dimensions</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

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

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

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

    What is the 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 rectangular prism?

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

    What is the advantage of using a number scale?

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

    What is the purpose of a probability scale?

    <p>To describe the likelihood of an event occurring</p> Signup and view all the answers

    What is the probability of an impossible event?

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

    What is the purpose of using scales on maps?

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

    What is the purpose of using symbols in floor plans?

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

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

    <p>To consider the arrangement of furniture and fixtures, and the overall functionality of the space</p> Signup and view all the answers

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

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

    What is the purpose of estimating answers to calculations?

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

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

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

    What is the order of operations in calculations, 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 separating numbers into groups of three digits?

    <p>To make reading and writing numbers easier</p> Signup and view all the answers

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

    <p>Changes the sign of a number</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 right</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

    What is the definition of a proper fraction?

    <p>A fraction where the numerator is smaller than the denominator</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 using a convention for number representation?

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

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

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

    How do you identify a linear relationship?

    <p>If the points form 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 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 the probability of getting heads in a coin toss?

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

    What is the purpose of a tree diagram?

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

    What is the definition of a fair game?

    <p>A game that has an equal chance of winning or losing</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 a two-way table?

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

    What is the definition of an outcome?

    <p>A result of a single trial</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 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 weather predictions?

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

    What is the convention for writing numbers in South Africa?

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

    What is the purpose of estimating in maths?

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

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

    <p>Compare from the leftmost column</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 definition of a proper fraction?

    <p>Numerator &lt; Denominator</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 rate?

    <p>Comparison of two numbers with different units</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

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

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

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

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

    What is the purpose of using a calculator in maths?

    <p>To perform complex calculations quickly and accurately</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 type of graph has a constant rate of change and forms a straight line?

    <p>Linear Relationship</p> Signup and view all the answers

    What is the formula for a linear relationship?

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

    What is the rule for rounding numbers in contextual situations?

    <p>Consider the practical implications of rounding in real-life situations</p> Signup and view all the answers

    What is the purpose of a graph in Mathematical Literacy?

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

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

    <p>Inverse Proportion</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 step to plot a point on a grid?

    <p>Move along the horizontal axis and then move up along the vertical axis</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 meaning of the term 'slope' in a graph?

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

    How many grams are in 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 from cups to millilitres?

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

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

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

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

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

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

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

    What is the instrument used to measure distance in meters?

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

    What is the conversion factor from milligrams to grams?

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

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

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

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

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

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

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

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

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

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

    <p>3000 l</p> Signup and view all the answers

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

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

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

    <p>5000 m/h</p> Signup and view all the answers

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

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

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

    <p>0.065 t</p> Signup and view all the answers

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

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

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

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

    What is the definition of a perpendicular line?

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

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

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

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

    <p>To provide a way to measure the distance between two points</p> Signup and view all the answers

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

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

    What is the definition of a circle's radius?

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

    What is the disadvantage of using a number scale?

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

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

    <p>Measure the length of one segment, calculate how many segments fit the measured distance, and multiply by the distance represented by one segment</p> Signup and view all the answers

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

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

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

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

    What is the advantage of using a bar scale?

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

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

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

    What is the purpose of a scale on a map?

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

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

    <p>By counting the number of squares on a square grid</p> Signup and view all the answers

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

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

    What is the primary purpose of a floor plan?

    <p>To show the layout of a building or structure</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 is more complex to use than a number scale</p> Signup and view all the answers

    What is the purpose of a scale on a map?

    <p>To provide a way to measure the distance between two points</p> Signup and view all the answers

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

    <p>To show the relationship between the map and the real world</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 primary purpose of a floor plan?

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

    What is the purpose of using symbols in floor plans?

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

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

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

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

    <p>To consider the arrangement of furniture and fixtures</p> Signup and view all the answers

    What is the probability of an impossible event?

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

    What is the purpose of a probability scale?

    <p>To describe the likelihood of an event occurring</p> Signup and view all the answers

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

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

    What is the purpose of packing arrangements in limited spaces?

    <p>To determine how many items can fit in a limited space</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 term for the value of the nth term in a sequence?

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

    How do you recognize an inverse proportion relationship?

    <p>If the points form a curve</p> Signup and view all the answers

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

    <p>c = 2 + 4b</p> Signup and view all the answers

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

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

    What is the definition of a fair game?

    <p>A game that has an equal chance of winning or losing.</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 a tree diagram?

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

    What is the definition of 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 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 weather predictions?

    <p>To make decisions based on the probability of certain weather conditions.</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 and check answers for accuracy</p> Signup and view all the answers

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

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

    What is the definition of a trial?

    <p>A test, like tossing a coin or rolling a dice.</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 using a two-way table?

    <p>To calculate the probability of combined events.</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 function of the MRC key on a calculator?

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

    How do you read and write a large number?

    <p>Separate numbers into groups of three digits</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 a common fraction?

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

    How do you add and subtract fractions?

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

    What is the purpose of a place value table?

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

    How do you write a whole number in words?

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

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

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

    What is the purpose of estimating in mathematics?

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

    What is the order of operations in the BODMAS rule?

    <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 to the left by one digit</p> Signup and view all the answers

    What is a mixed number?

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

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

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

    What is the purpose of using a place value table?

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

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

    <p>The number is rounded to the nearest 10 based on the units digit</p> Signup and view all the answers

    What is the definition of a ratio?

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

    What is the purpose of using graphs in mathematics?

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

    What is the definition of a positive number?

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

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

    <p>To visualize the relationship between two quantities and make it easier to understand data</p> Signup and view all the answers

    What is the characteristic of a discrete graph?

    <p>It represents whole numbers and is shown by points connected with dotted lines</p> Signup and view all the answers

    What does the steepness of a graph indicate?

    <p>The rate of change: steeper slopes show quicker changes, while gradual slopes show slower changes</p> Signup and view all the answers

    What is the formula for a linear relationship?

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

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

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

    What is the characteristic of an increasing graph?

    <p>The slope goes up from left to right, indicating a rise in values</p> Signup and view all the answers

    What is the formula for inverse proportions?

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

    What is the purpose of plotting points on a grid?

    <p>To represent the relationship between the independent and dependent variables</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 volume in millilitres of a container that can hold 3.5 litres?

    <p>3500</p> Signup and view all the answers

    What is the conversion factor from kilograms to grams?

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

    What is the formula to convert millilitres to cups?

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

    What is the instrument used to measure distance in meters?

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

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

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

    What is the conversion factor from tonnes to kilograms?

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

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

    <p>Measuring Jugs</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 is the conversion factor from cups to milliliters?

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

    What is the formula to convert grams to milligrams?

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

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

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

    What is the purpose of a scale on a map?

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

    What is the advantage of using a number scale?

    <p>It is simple to use and requires measuring only one distance</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?

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

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

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

    What is the advantage of using a bar scale?

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

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

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

    What is the purpose of drawing a scaled map?

    <p>To accurately represent the actual dimensions of objects or distances</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 to draw a scaled map from real dimensions?

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

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

    <p>To understand the arrangement of furniture and fixtures</p> Signup and view all the answers

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

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

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

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

    What is the primary purpose of a floor plan?

    <p>To provide a visual representation of a structure</p> Signup and view all the answers

    What is the purpose of using symbols in floor plans?

    <p>To identify the location of specific features</p> Signup and view all the answers

    What is the probability of an impossible event?

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

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

    <p>To help the person following the directions understand the route</p> Signup and view all the answers

    What is the advantage of using a number scale?

    <p>It is easier to convert between units</p> Signup and view all the answers

    What is the purpose of a probability scale?

    <p>To show the likelihood of an event occurring</p> Signup and view all the answers

    What is the primary purpose of a floor plan?

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

    What is the definition of the perimeter of a shape?

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

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

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

    What is the definition of a circle's radius?

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

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

    <p>By placing a square grid over the area and counting how many squares fit within the shape</p> Signup and view all the answers

    What is the definition of a scale on a map?

    <p>A ratio representing the distance on the map to the actual distance in reality</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 a perpendicular line?

    <p>A line that lies at an angle of 90° to a given line, plane, or surface</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 definition of a rectangle?

    <p>A flat two-dimensional shape with both pairs of opposite sides equal in length and all adjacent sides at right angles to each other</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 purpose of estimating answers to calculations?

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

    How do you read and write large numbers?

    <p>Read and write each group separately</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 term for the value of the nth term in a sequence?

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

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

    <p>To add a number to the memory</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 formula used to describe an inverse proportion relationship?

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

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

    <p>The cost</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 definition of a proper fraction?

    <p>Numerator is smaller than the denominator</p> Signup and view all the answers

    What is the purpose of plotting points on a graph?

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

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

    <p>y = mx + c</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 result of multiplying a positive number by its opposite?

    <p>Zero</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 definition of a fair game?

    <p>A game that has an equal chance of winning or losing</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 purpose of a tree diagram?

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

    What is the definition of a complement of an event?

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

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

    <p>To determine the probability of rain</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 purpose of using a two-way table?

    <p>To show the outcomes of two events, making it easier to calculate combined probabilities</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 purpose of a probability scale?

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

    What is the definition of a random event?

    <p>An event that occurs without being made to happen deliberately</p> Signup and view all the answers

    What is the purpose of estimating in maths?

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

    What is the correct order of operations in an expression?

    <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 digit to the left</p> Signup and view all the answers

    What is the definition of a proper fraction?

    <p>Numerator is less than the denominator</p> Signup and view all the answers

    What is the purpose of using a place value table?

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

    What is the definition of a ratio?

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

    What is the purpose of using a calculator?

    <p>To perform calculations quickly and accurately</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 rounding numbers?

    <p>To simplify numbers and make them easier to understand</p> Signup and view all the answers

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

    <p>Convert the percentage to a decimal and multiply by the number</p> Signup and view all the answers

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

    <p>The type of data being represented</p> Signup and view all the answers

    What is the independent variable in a graph?

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

    What does a steep slope on a graph indicate?

    <p>A fast rate of change</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 it mean when a graph touches the horizontal axis?

    <p>The dependent variable has reached zero</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 formula for an inverse proportion?

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

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

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

    What does an increasing graph indicate?

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

    What is the purpose of graph interpretation?

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

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

    <p>50</p> Signup and view all the answers

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

    <p>6.25</p> Signup and view all the answers

    What is the volume in litres of 2500 millilitres?

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

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

    <p>3200</p> Signup and view all the answers

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

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

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

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

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

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

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

    <p>3750000</p> Signup and view all the answers

    What is the conversion factor from kilograms to grams?

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

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

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

    What is the conversion factor from millilitres to cups?

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

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

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

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

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

    What is the conversion factor from grams to milligrams?

    <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 volume from cups to millilitres?

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

    What is the conversion factor from kilograms to tonnes?

    <p>0.001</p> Signup and view all the answers

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

    <p>P = 4 × side</p> Signup and view all the answers

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

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

    What is the definition of a circle's radius?

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

    What is the 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 distance on the map to the actual distance 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 real-world distances</p> Signup and view all the answers

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

    <p>Bar scales adjust proportionally when resizing maps</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 a perpendicular line?

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

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

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

    What is the disadvantage of using a number scale?

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

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

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

    How do you draw a scaled map from real dimensions?

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

    What is the purpose of using scales on maps?

    <p>To accurately represent the real-world distances</p> Signup and view all the answers

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

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

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

    <p>(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 number scale?

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

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

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

    What is the primary purpose of a floor plan?

    <p>To show the layout of a structure</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 term for the value of the nth term in a sequence?

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

    How do you recognize a linear relationship from a graph?

    <p>If the points form 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 purpose of a floor plan?

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

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

    <p>General Formula</p> Signup and view all the answers

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

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

    What is the purpose of using symbols in floor plans?

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

    What is the probability of an impossible event?

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

    What is the purpose of a probability scale?

    <p>To describe the likelihood of an event occurring</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 directions with clear and concise language?

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

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

    <p>It is easier to calculate distances with a number scale</p> Signup and view all the answers

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

    <p>To understand the arrangement of furniture and fixtures</p> Signup and view all the answers

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

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

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

    <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 does the M+ key on a calculator do?

    <p>Adds a number to the memory</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 result of adding a number and its opposite?

    <p>Zero</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 definition of a proper fraction?

    <p>Numerator is smaller than the denominator</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

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

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

    What is the convention for writing whole numbers in words?

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

    What is the definition of a fair game?

    <p>A game that has an equal chance of winning or losing</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 used to show all possible outcomes of an event?

    <p>Tree diagram</p> Signup and view all the answers

    What is the complement of an event?

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

    What is the purpose of weather predictions?

    <p>To analyze past weather data to make predictions</p> Signup and view all the answers

    What is the definition of a random event?

    <p>An event that occurs without being made to happen deliberately</p> Signup and view all the answers

    What is the purpose of using a relative frequency?

    <p>To analyze the results of an experiment</p> Signup and view all the answers

    What is the formula to calculate 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 two-way table?

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

    What is the definition of a trial?

    <p>A test, like tossing a coin or rolling a dice</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 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 order of operations in mathematics?

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

    What is a mixed number in mathematics?

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

    How do you multiply a number by 10?

    <p>Shift each digit to the left by 1 place</p> Signup and view all the answers

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

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

    What is the definition of a positive number in mathematics?

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

    How do you calculate the percentage of a given amount?

    <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 a ratio in mathematics?

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

    What is the purpose of using graphs in mathematics?

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

    What is the purpose of interpreting graphs?

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

    What is the characteristic of a discrete graph?

    <p>Represents whole numbers and is shown by points connected with dotted lines</p> Signup and view all the answers

    What is the dependent variable in a graph?

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

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

    <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 is the characteristic of an increasing graph?

    <p>The slope goes up from left to right</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 formula for inverse proportions?

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

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

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

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

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

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