Gr10 Math Lit: June test hard P(2)
311 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

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

  • Decimal comma (correct)
  • Dash
  • Space
  • Decimal point

What type of number is used to represent exact counts?

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

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

  • Read each group individually and name it (correct)
  • Read the entire number at once
  • Start from left to right
  • Start from right to left

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

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

What type of number is used to represent financial values?

<p>Money Amounts (C)</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 (D)</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 (B)</p> Signup and view all the answers

What is the purpose of estimating answers to calculations?

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

How do you multiply a number by 10?

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

What is the definition of a mixed number?

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

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

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

What is the result of multiplying 24 by 100?

<p>2400 (C)</p> Signup and view all the answers

What is the definition of a mixed number?

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

How do you convert a fraction to a decimal fraction?

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

What is the definition of opposite numbers?

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

What is the definition of a rate?

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

What is the purpose of identifying patterns in graphs?

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

What does a steep slope on a graph indicate?

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

What is the formula for an inverse proportion?

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

What is the y-intercept of a linear graph?

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

What is the formula for a linear pattern?

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

What is the formula to describe a linear relationship?

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

What is the conversion factor for 1 kilometer to meters?

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

What is the formula to convert milligrams to grams?

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

What is the formula to describe an inverse proportion relationship?

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

What is the conversion factor for 1 liter to milliliters?

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

What is the formula to convert kilometers to meters?

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

What is the formula to convert cups to milliliters?

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

What is the formula to convert kilograms to grams?

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

What is the formula to convert milliliters to liters?

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

What is the formula to convert teaspoons to milliliters?

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

What is the conversion factor to convert teaspoons to milliliters?

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

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

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

What is the key conversion in measuring mass or weight?

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

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

<p>Analogue Thermometer (D)</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 (B)</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 (A)</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 (D)</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 (D)</p> Signup and view all the answers

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

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

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

What is the advantage of using a bar scale?

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

What is the formula to calculate the scaled measurement?

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

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

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

What is the definition of an event in probability?

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

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

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

What is the purpose of using the complement of an event in probability?

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

What is the definition of a fair game in probability?

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

What is the purpose of using weather predictions in probability?

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

What does a steep slope on a graph indicate?

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

What is the formula for an inverse proportion?

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

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

What is the formula for a linear relationship?

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

What is the formula to describe an inverse proportion relationship?

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

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

<p>Measurements (B)</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 (D)</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 (B)</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) (A)</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 (A)</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 (A)</p> Signup and view all the answers

What is the purpose of using codes in number representations?

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

What is the volume in milliliters of 3 teaspoons?

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

What is the weight in kilograms of 2500 grams?

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

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

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

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

<p>1/200 (A)</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 (B)</p> Signup and view all the answers

What is the volume in liters of 2000 milliliters?

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

What is the distance in meters of 5 kilometers?

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

What is the weight in grams of 2 kilograms?

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

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

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

What is the result of multiplying a number by 1000?

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

What is the definition of a rate?

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

What is the correct way to divide fractions?

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

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

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

What is the definition of a mixed number?

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

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

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

What is the definition of opposite numbers?

<p>Numbers with the same absolute value but opposite signs (C)</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. (B)</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. (B)</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 (D)</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. (D)</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. (C)</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 (B)</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. (D)</p> Signup and view all the answers

What is the disadvantage of using a number scale?

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

What is the 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 (C)</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. (D)</p> Signup and view all the answers

What is the main advantage of estimating answers to calculations?

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

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

<p>1/2 (C)</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 (B)</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 (B)</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 (A)</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 (D)</p> Signup and view all the answers

What is the value of x in the proportion 3/4 = x/12?

<p>9 (C)</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 (C)</p> Signup and view all the answers

What is the definition of an outcome in probability?

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

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

<p>40 (B)</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 (A)</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% (B)</p> Signup and view all the answers

What is the result of dividing 3.25 by 0.5?

<p>6.5 (C)</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 (A)</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) (A)</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 (D)</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 (C)</p> Signup and view all the answers

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

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

What is the formula to convert milliliters to liters?

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

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

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

What is the formula to convert cups to milliliters?

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

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

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

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

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

What is the formula to convert kilograms to grams?

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

What is the correct formula to describe a linear relationship?

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

What is the conversion factor for 1 tonne to kilograms?

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

What is the formula to convert milligrams to grams?

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

What is the purpose of the BODMAS rule?

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

What is the definition of an improper fraction?

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

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

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

What is the result of dividing 24 by -3?

<p>-8 (D)</p> Signup and view all the answers

What is the definition of a rate?

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

What is the purpose of using percentages?

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

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

<p>50 (C)</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 (A)</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 (C)</p> Signup and view all the answers

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

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

What is the definition of a proper fraction?

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

What is the definition of a mixed number?

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

What is the purpose of estimating answers to calculations?

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

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

<p>The number becomes negative (B)</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 (A)</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 (B)</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 (B)</p> Signup and view all the answers

Which of the following is an example of a code?

<p>A bank account number (B)</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 (D)</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 (A)</p> Signup and view all the answers

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

<p>To represent rates (B)</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 (A)</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 (B)</p> Signup and view all the answers

What is the slope of a linear graph indicating?

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

What is the primary purpose of identifying patterns in graphs?

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

What does a horizontal axis represent in a graph?

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

What is the formula for a linear pattern?

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

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

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

What is the formula for an inverse proportion?

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

What is the dependent variable in a graph?

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

What is the purpose of identifying patterns in data?

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

What is the formula to convert kilometers to meters?

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

What is the formula to convert milliliters to liters?

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

What is the conversion factor for 1 kilogram to grams?

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

What is the formula to describe a linear relationship?

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

What is the formula to convert teaspoons to milliliters?

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

What is the formula to describe an inverse proportion relationship?

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

What is the conversion factor for 1 liter to milliliters?

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

What is the formula to convert milligrams to grams?

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

What is the formula to convert cups to milliliters?

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

What is the formula to describe a linear pattern?

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

What is the formula to convert teaspoons to milliliters?

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

What is the purpose of an odometer?

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

What is the formula to convert milliliters to liters?

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

What is the purpose of a trundle wheel?

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

What is the formula to convert kilograms to grams?

<p>Mass in grams = Mass in kg × 1000 (A)</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 (C)</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 (A)</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 (C)</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 (D)</p> Signup and view all the answers

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

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

What is the purpose of a tree diagram in probability?

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

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

What is the purpose of predicting the weather?

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

What is the formula for the complement of an event?

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

What is the purpose of using probability in real-life situations?

<p>To make informed decisions based on the likelihood of an event (C)</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 (A)</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 (A)</p> Signup and view all the answers

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

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

What is the advantage of using a bar scale?

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

What is the formula to calculate the scaled measurement?

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

What is the disadvantage of using a number scale?

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

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

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

What is the purpose of interpreting directional instructions?

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

What is the formula to convert teaspoons to milliliters?

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

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

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

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

What is the conversion factor for 1 liter to milliliters?

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

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

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

What is the formula to convert kilograms to grams?

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

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

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

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

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

What is the conversion factor for 1 tonne to kilograms?

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

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

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

What does a steep slope on a graph indicate?

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

What is the formula for an inverse proportion?

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

What is the y-intercept of a linear graph?

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

What is the formula for a linear pattern?

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

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

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

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

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

What is the result of multiplying two fractions?

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

What is the purpose of using brackets in calculations?

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

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

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

What is the definition of a rate?

<p>A comparison of two quantities (D)</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 (A)</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) (B)</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 (C)</p> Signup and view all the answers

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

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

What is the complement of an event E?

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

What is the definition of an outcome?

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

What is the importance of understanding scales in maps?

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

What is the formula to convert milliliters to liters?

<p>$$ ext{Volume in l} = ext{Volume in ml} imes 10$$ (C)</p> Signup and view all the answers

What is the formula to describe a linear relationship?

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

What is the conversion factor to convert kilometers to meters?

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

What is the formula to convert centimeters to millimeters?

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

What is the formula to describe an inverse proportion relationship?

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

What is the formula to convert kilograms to grams?

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

What is the formula to convert teaspoons to milliliters?

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

What is the formula to convert cups to milliliters?

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

What is the formula to convert milligrams to grams?

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

What is the formula to convert liters to milliliters?

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

Which of the following is an example of a code?

<p>A phone number. (B)</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. (D)</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. (D)</p> Signup and view all the answers

Which of the following is an example of a percentage?

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

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

<p>One million. (D)</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. (B)</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. (C)</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 (C)</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 (B)</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 (A)</p> Signup and view all the answers

What is the result of multiplying 23 by 1000?

<p>230000 (A)</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 (C)</p> Signup and view all the answers

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

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

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

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

What is the purpose of identifying patterns in graphs?

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

Flashcards are hidden until you start studying

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser