Gr10 Math Lit: June test hard P(2)
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Gr10 Math Lit: June test hard P(2)

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Questions and Answers

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

Decimal comma

What type of number is used to represent exact counts?

Counting Numbers

How do you read each group of three digits when writing numbers in words?

Read each group individually and name it

What is the purpose of a place value table when dealing with large numbers?

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

How do you arrange numbers in order when comparing them?

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

What is the alternative decimal fraction representation used in some contexts, like in bank statements?

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

What type of number is used to represent financial values?

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

How do you write large numbers in symbol form to make them easier to read?

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

What is the correct order of operations when calculations involve brackets and powers?

<p>Brackets, Orders, Division, Multiplication</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 MRC key on a calculator?

<p>Displays the number stored in memory</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 mixed number?

<p>A combination of a whole number and a fraction</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 purpose of using place value when comparing numbers?

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

How do you arrange numbers in order from smallest to largest?

<p>Write the numbers in a table with place value columns</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 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 primary purpose of estimating in mathematics?

<p>To think about a problem before solving it and assist in checking the accuracy of answers</p> Signup and view all the answers

When using a calculator, what is the function of the memory keys?

<p>To store and recall numbers during calculations</p> Signup and view all the answers

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

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

What is the result of multiplying 24 by 100?

<p>2400</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

How do you convert a 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 opposite numbers?

<p>Numbers with the same value but opposite signs</p> Signup and view all the answers

When rounding a number to the nearest ten, what happens if the units digit is 5?

<p>The number rounds up</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 identifying patterns in graphs?

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

What is the primary purpose of using graphs 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 does a steep slope on a graph indicate?

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

What type of graph would be used to represent the number of passengers on a bus?

<p>Discrete graph</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 y-intercept of a linear graph?

<p>The point where the graph touches the y-axis when x = 0</p> Signup and view all the answers

What is the purpose of identifying patterns in data?

<p>To develop a formula to describe the pattern</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 is the purpose of touching the axes on a graph?

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

What is the formula for a linear pattern?

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

What is the first step to plot points on a grid?

<p>Start at the origin (0,0)</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 conversion factor for 1 kilometer to meters?

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

What is the formula to convert milligrams to grams?

<p>Weight in g = Weight in mg / 1000</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 conversion factor for 1 liter to milliliters?

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

What is the formula to convert kilometers to meters?

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

What is the formula to convert cups to milliliters?

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

What is the formula to convert kilograms to grams?

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

What is the formula to convert milliliters to liters?

<p>Volume in l = Volume in ml ÷ 1000</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 to convert teaspoons to milliliters?

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

What is the formula to calculate the total cost of a material, given the length needed and the price per meter?

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

What is the device used to measure the distance traveled by a vehicle?

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

What is the key conversion in measuring mass or weight?

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

What is the formula to calculate the total cost of a material, given the volume needed and the price per liter?

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

What is the definition of scale in the context of maps and plans?

<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 calculate the real distance, given the measured distance on a map and the scale factor?

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

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

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

What is the key point about water at sea level?

<p>Water freezes at 0°C and boils at 100°C</p> Signup and view all the answers

What is the formula to calculate the real distance, given the measured distance on a map and the 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 a scale in a map?

<p>To accurately measure the length or width of objects</p> Signup and view all the answers

Which of the following is a 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 number scale?

<p>Real Distance = Measured Distance on Map × Scale Factor</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 scale distance</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

How do you draw a scaled map from real dimensions?

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

What is the purpose of using a scale when drawing a room?

<p>To provide a proportional representation of the room</p> Signup and view all the answers

What is the formula to calculate the scaled measurement?

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

What is the purpose of using a scale in maps and plans?

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

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

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

What is the purpose of using tree diagrams in probability?

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

What is the definition of a scale in a map?

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

What is the definition of an event in probability?

<p>A collection of one or more outcomes</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 complement of an event in probability?

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

What is the definition of a fair game in probability?

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

What is the purpose of using weather predictions in probability?

<p>To analyze past weather data to make predictions</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 using probability in real-life scenarios?

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

What is the primary purpose of identifying patterns in graphs?

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

What does a steep slope on a graph indicate?

<p>A quicker rate of change</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 purpose of touching the axes on a graph?

<p>To indicate the starting value of the dependent variable or when the dependent variable has reached zero</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 type of graph would be used to represent the number of passengers on a bus?

<p>Discrete graph</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 is the first step to plot 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 formula to describe an inverse proportion relationship?

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

What is the primary function of a place value table?

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

Which type of number is used to represent lengths and masses?

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

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

<p>To read each group individually and name it</p> Signup and view all the answers

What is the primary purpose of using number formats and conventions?

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

What is the formula for decimal fraction representation in South Africa?

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

What is the purpose of using different number formats in various contexts?

<p>To represent different types of numbers</p> Signup and view all the answers

What is the purpose of comparing numbers column by column from left to right when arranging in order?

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

What is the purpose of using codes in number representations?

<p>To provide a unique identification number</p> Signup and view all the answers

What is the volume in milliliters of 3 teaspoons?

<p>15 ml</p> Signup and view all the answers

What is the weight in kilograms of 2500 grams?

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

What is the temperature in degrees Celsius at which water boils at sea level?

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

What is the scale factor of a map with a scale of 1:200?

<p>1/200</p> Signup and view all the answers

What is the total cost of a material that costs $5 per meter, if you need 8 meters of it?

<p>$40</p> Signup and view all the answers

What is the volume in liters of 2000 milliliters?

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

What is the distance in meters of 5 kilometers?

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

What is the formula to convert teaspoons to milliliters?

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

What is the weight in grams of 2 kilograms?

<p>4000 g</p> Signup and view all the answers

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

<p>To avoid calculation errors</p> Signup and view all the answers

What is the temperature in degrees Celsius of the normal human body temperature?

<p>37°C</p> Signup and view all the answers

What is the result of multiplying a number by 1000?

<p>Shift each digit three places to the left</p> Signup and view all the answers

What is the correct way to add fractions with different denominators?

<p>Find a common denominator and then add</p> Signup and view all the answers

What is the purpose of grouping when multiplying large numbers?

<p>To break down the numbers into smaller parts</p> Signup and view all the answers

What is the definition of a rate?

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

What is the correct way to divide fractions?

<p>Multiply the fraction by its reciprocal</p> Signup and view all the answers

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

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

What is the definition of a mixed number?

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

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

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

What is the definition of opposite numbers?

<p>Numbers with the same absolute value but opposite signs</p> Signup and view all the answers

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

<p>It is simpler to use and requires only one measurement.</p> Signup and view all the answers

If a map has a scale of 1:50, what does this mean?

<p>1 unit on the map equals 50 units in reality.</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 bar scale over a number 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>Know 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 when drawing a scaled map?

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

What is the purpose of using scales in maps?

<p>To accurately interpret and navigate maps and plans.</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 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 measuring the length of one segment in a bar scale?

<p>To calculate how many segments fit the measured distance.</p> Signup and view all the answers

What is the main advantage of estimating answers to calculations?

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

A bakery sells 240 loaves of bread per day. If they want to package 12 loaves per box, how many boxes will they need?

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

What is the purpose of using a probability scale?

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

What is the result of multiplying 3/4 by 2/3?

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

What is the difference between theoretical probability and relative frequency?

<p>Theoretical probability is based on calculated probability, while relative frequency is based on actual results</p> Signup and view all the answers

What is the purpose of using a tree diagram in probability?

<p>To show the probability of combined outcomes</p> Signup and view all the answers

A car travels 250 km in 5 hours. What is its unit rate in km/h?

<p>50 km/h</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 value of x in the proportion 3/4 = x/12?

<p>9</p> Signup and view all the answers

A graph shows the relationship between the number of hours studied and the score on a test. What type of relationship is displayed?

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

What is the definition of an outcome in probability?

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

What is the purpose of using a scale in map drawing?

<p>To convert real measurements to scale dimensions</p> Signup and view all the answers

What is the result of rounding 47 to the nearest ten?

<p>40</p> Signup and view all the answers

What is the definition of a fair game in probability?

<p>A game that has an equal chance of winning or losing</p> Signup and view all the answers

A water bottle can hold 2 liters of water. If 1.5 liters are already in the bottle, what percentage of the bottle is full?

<p>75%</p> Signup and view all the answers

What is the result of dividing 3.25 by 0.5?

<p>6.5</p> Signup and view all the answers

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

<p>To show the probability of combined outcomes</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

A bakery sells a cake for R250. If a 15% discount is applied, how much will the customer pay?

<p>R212.50</p> Signup and view all the answers

What is the purpose of using weather predictions in probability?

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

What is the correct conversion factor for 1000 meters to kilometers?

<p>1000 m = 1 km</p> Signup and view all the answers

What is the formula to convert milliliters to liters?

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

What is the correct conversion factor for 1 kilogram to grams?

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

What is the formula to convert cups to milliliters?

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

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

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

What is the correct conversion factor for 1 liter to milliliters?

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

What is the formula to convert kilograms to grams?

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

What is the correct formula to describe a linear relationship?

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

What is the conversion factor for 1 tonne to kilograms?

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

What is the formula to convert milligrams to grams?

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

What is the primary advantage of estimating answers to calculations?

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

What is the purpose of the BODMAS rule?

<p>To perform calculations in a specific order</p> Signup and view all the answers

What is the definition of an improper fraction?

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

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

<p>To identify patterns in data</p> Signup and view all the answers

What is the result of dividing 24 by -3?

<p>-8</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 percentages?

<p>To compare values and find increases or decreases</p> Signup and view all the answers

What is the result of rounding 47 to the nearest ten?

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

What is the definition of a continuous graph?

<p>A graph that represents measurements that can take any value within a range</p> Signup and view all the answers

What is the correct order of operations when evaluating an expression with brackets, powers, and division?

<p>Brackets, Powers, Division</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 breaking down large numbers into smaller parts when multiplying?

<p>To make the calculation more efficient</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 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 result of multiplying a number by 1000?

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

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

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

What is the definition of a mixed number?

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

What is the purpose of estimating answers to calculations?

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

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

<p>The number becomes negative</p> Signup and view all the answers

What is the primary purpose of using place value tables in number representations?

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

Which type of number is used to represent the position of an item in a sequence?

<p>Order numbers</p> Signup and view all the answers

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

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

Which of the following is an example of a code?

<p>A bank account number</p> Signup and view all the answers

What is the purpose of using decimal commas in South African number formats?

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

Which of the following is a correct way to write the number 1 000 000 in words?

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

What is the primary purpose of using percentages in number representations?

<p>To represent rates</p> Signup and view all the answers

Which of the following is a correct way to arrange numbers in order from smallest to largest?

<p>Create a place value table and compare digits from left to right</p> Signup and view all the answers

What type of graph would be used to represent the distance traveled by an object over time?

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

What is the slope of a linear graph indicating?

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

What is the primary purpose of identifying patterns in graphs?

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

What does a horizontal axis represent in a graph?

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

What is the formula for a linear pattern?

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

What is the purpose of touching the axes on a graph?

<p>To determine the starting value of the dependent variable and when it reaches zero</p> Signup and view all the answers

What type of relationship is represented by a curve on a graph?

<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 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 identifying patterns in data?

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

What is the formula to convert kilometers to meters?

<p>$1 kilometer = 1000 meters$</p> Signup and view all the answers

What is the formula to convert milliliters to liters?

<p>$1 liter = 1000 milliliters$</p> Signup and view all the answers

What is the conversion factor for 1 kilogram to grams?

<p>1 kilogram = 1000 grams</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 formula to convert teaspoons to milliliters?

<p>$1 teaspoon = 5 milliliters$</p> Signup and view all the answers

What is the formula to describe an inverse proportion relationship?

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

What is the conversion factor for 1 liter to milliliters?

<p>1 liter = 1000 milliliters</p> Signup and view all the answers

What is the formula to convert milligrams to grams?

<p>$1 gram = 1000 milligrams$</p> Signup and view all the answers

What is the formula to convert cups to milliliters?

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

What is the formula to describe a linear pattern?

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

What is the purpose of measuring length, weight, volume, and temperature?

<p>To carry out various tasks such as cooking, baking, and planning</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 purpose of an odometer?

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

What is the formula to calculate the total cost of material, given the weight needed and the price per kilogram?

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

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

<p>To convert measured distances on the map to real-world distances</p> Signup and view all the answers

What is the formula to convert milliliters to liters?

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

What is the purpose of a trundle wheel?

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

What is the formula to convert kilograms to grams?

<p>Mass in grams = Mass in kg × 1000</p> Signup and view all the answers

What is the purpose of a kitchen scale?

<p>To measure the mass of small quantities of food</p> Signup and view all the answers

What is the formula to convert teaspoons to milliliters, given that 1 teaspoon is equal to 5 milliliters?

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

What is the purpose of using scales in maps?

<p>To provide a clear and concise representation of distances</p> Signup and view all the answers

What is the difference between a floor plan and a seating plan?

<p>A floor plan shows the layout of a room, while a seating plan shows the arrangement of seats</p> Signup and view all the answers

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

<p>1</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 in probability?

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

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

<p>A fair game is not weighted to favor one player, while an unfair game is</p> Signup and view all the answers

What is the purpose of predicting the weather?

<p>To make accurate predictions of future weather events</p> Signup and view all the answers

What is the formula for 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 probability in real-life situations?

<p>To make informed decisions based on the likelihood of an event</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

What is the primary purpose of using scale maps?

<p>To describe the position of objects and navigate through different environments</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

How do you draw a scaled map from real dimensions?

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

What is the formula to calculate the scaled measurement?

<p>Scaled Measurement = Actual Measurement ÷ 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 purpose of using a scale?

<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 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 number scale?

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

What is the purpose of interpreting directional instructions?

<p>To navigate through different environments</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 instrument used to measure the distance travelled by a vehicle?

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

What is the formula to calculate the total cost of a material, given the weight needed and the price per kilogram?

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

What is the conversion factor for 1 liter to milliliters?

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

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

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

What is the formula to convert kilograms to grams?

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

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

<p>Measuring Cup</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 conversion factor for 1 tonne to kilograms?

<p>1 tonne = 1000 kg</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 purpose of identifying patterns in graphs?

<p>To understand the story that the graph is telling</p> Signup and view all the answers

What does a steep slope on a graph indicate?

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

What type of graph would be used to represent the number of passengers on a bus?

<p>Discrete graph</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 y-intercept of a linear graph?

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

What is the purpose of identifying patterns in data?

<p>To understand the story that the data is telling</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 is the purpose of touching the axes on a graph?

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

What is the formula for a linear pattern?

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

What is the first step to plot points on a grid?

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

What is the main purpose of using the BODMAS rule in calculations?

<p>To ensure calculations are performed in the correct order</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 the change sign key on a calculator?

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

What happens when you multiply a number by 1000?

<p>The number is shifted three places to the right</p> Signup and view all the answers

What is the purpose of breaking down numbers into smaller parts when multiplying?

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

What is the correct scale for a room that is 3m x 4.5m with a scale of 1:50?

<p>6 cm x 9 cm</p> Signup and view all the answers

What is the result of multiplying two fractions?

<p>A product of the numerators and denominators</p> Signup and view all the answers

What is the purpose of using brackets in calculations?

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

Which of the following is an example of a floor plan?

<p>A diagram of a building including measurements and furniture</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 definition of a rate?

<p>A comparison of two quantities</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 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 or series of events</p> Signup and view all the answers

What is the result of subtracting a number from its opposite?

<p>Twice the original number</p> Signup and view all the answers

What is the complement of an event E?

<p>P(not E) = 1 - P(E)</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 purpose of using relative frequency in probability?

<p>To calculate the actual result of an experiment</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 weather predictions?

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

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

<p>To accurately measure the distance between objects on the map</p> Signup and view all the answers

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

<p>It is simpler to use and requires only one measurement</p> Signup and view all the answers

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

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

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

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

What is the formula to calculate the real distance from a measurement on a map using a bar scale?

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

What is the purpose of drawing a scaled map?

<p>To represent real-world dimensions in a smaller format</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 importance of understanding scales in maps?

<p>It helps in navigating through different environments</p> Signup and view all the answers

What is the primary purpose of using number and bar scales in maps?

<p>To accurately measure the distance between objects on the map</p> Signup and view all the answers

What is the advantage of using scales in maps?

<p>It allows for accurate measurement of distances and sizes</p> Signup and view all the answers

What is the formula to convert milliliters to liters?

<p>$$ ext{Volume in l} = ext{Volume in ml} imes 10$$</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 conversion factor to convert kilometers to meters?

<p>1000 meters = 1 kilometer</p> Signup and view all the answers

What is the formula to convert centimeters to millimeters?

<p>$$ ext{Length in mm} = ext{Length in cm} imes 10$$</p> Signup and view all the answers

What is the formula to describe an inverse proportion relationship?

<p>$$y = rac{k}{x}$$</p> Signup and view all the answers

What is the formula to convert kilograms to grams?

<p>$$ ext{Weight in g} = ext{Weight in kg} imes 1000$$</p> Signup and view all the answers

What is the formula to convert teaspoons to milliliters?

<p>$$ ext{Volume in ml} = ext{Volume in tsp} imes 15$$</p> Signup and view all the answers

What is the formula to convert cups to milliliters?

<p>$$ ext{Volume in ml} = ext{Volume in cups} imes 250$$</p> Signup and view all the answers

What is the formula to convert milligrams to grams?

<p>$$ ext{Weight in g} = ext{Weight in mg} \div 1000$$</p> Signup and view all the answers

What is the formula to convert liters to milliliters?

<p>$$ ext{Volume in ml} = ext{Volume in l} imes 1000$$</p> Signup and view all the answers

What is the primary purpose of using place value when working with large numbers?

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

Which of the following is an example of a code?

<p>A phone number.</p> Signup and view all the answers

What is the correct format for writing large numbers in symbol form?

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

What is the purpose of using a place value table when arranging numbers in order?

<p>To compare numbers column by column from left to right.</p> Signup and view all the answers

Which of the following is an example of a percentage?

<p>A rate of 25% per annum.</p> Signup and view all the answers

What is the correct way to write the number 1 000 000 in words?

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

What is the purpose of using different number formats in different contexts?

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

Which of the following is an example of an order number?

<p>A position in a queue, such as 5th.</p> Signup and view all the answers

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

<p>To change a positive number to a negative number or vice versa</p> Signup and view all the answers

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

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

What is the primary purpose of using estimations in mathematics?

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

What is the result of multiplying 23 by 1000?

<p>230000</p> Signup and view all the answers

What is the definition of an improper fraction?

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

What is the purpose of using ratio and proportion in mathematics?

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

What is the definition of a discrete graph?

<p>A graph representing whole numbers, shown by points connected by dotted lines</p> Signup and view all the answers

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

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

What is the result of converting the percentage 25% to a fraction?

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

What is the purpose of identifying patterns in graphs?

<p>To make predictions about future data</p> Signup and view all the answers

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