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Year 6 Mathematics Revision Sheet

Smart Worksheet
Year 6
English

Year 6 Mathematics Revision Sheet

Year 6 Mathematics Revision Sheet

This revision sheet covers key concepts from the Year 6 curriculum, including Number and Algebra, Measurement and Space, and Statistics and Probability. Complete the tasks below to prepare for your assessments.


Section 1: Choose the Correct Answer

Read each question carefully and choose the best option from the choices provided.
  1. Which of the following is the prime factorisation of 36?
  1. Which of the following is the prime factorisation of 36? A. 4 × 9 B. 2 × 3 × 6 C. 2² × 3² D. 2 × 18
  1. Solve the expression:
    
  1. What is the value of the expression: 12 + 8 ÷ 4 × (10 - 7)? A. 15 B. 20 C. 6 D. 18
  1. Which decimal is equivalent to the fraction
    
    ?
  1. Which decimal is equivalent to the fraction 3/8? A. 0.3 B. 0.375 C. 0.38 D. 0.625
  1. If a number is multiplied by
    
    , the decimal point moves:
  1. If a number is multiplied by 10³, the decimal point moves: A. Three places to the right B. Two places to the left C. Two places to the right D. Three places to the left
  1. In a right-angled triangle, if one angle is
    
    , what is the size of the other non-right angle?
  1. In a right-angled triangle, if one angle is 35°, what is the size of the other non-right angle? A. 145° B. 45° C. 65° D. 55°
  1. A bag contains 4 red marbles, 5 blue marbles, and 1 green marble. What is the probability of picking a blue marble?
  1. What is the probability of picking a blue marble? A. 1/2 B. 4/10 C. 1/10 D. 5/9
  1. Look at the sequence: 3, 7, 11, 15... What is the rule to find the
    
    term?
  1. What is the rule to find the nth term of the sequence 3, 7, 11, 15...? A. 3n + 1 B. n + 4 C. 4n - 1 D. 4n + 3


Section 2: Complete the Statements

Fill in the blank spaces with the correct numerical value or term.
  1. Simplify the ratio
    
    to its simplest form.
Answer: ________________________________
  1. Solve the integer subtraction:
    
    .
Answer: ________________________________
  1. Calculate the volume of a rectangular prism with a length of
    
    , a width of
    
    , and a height of
    
    .
Answer: ________________________________

  1. Convert
    
    into grams.
Answer: ________________________________

  1. Point A is located at
    
    on a Cartesian plane. If it is reflected across the x-axis, its new coordinates are:
Answer: ( _________ , _________ )
  1. Calculate:
    
    .
Answer: ________________________________
  1. Calculate
    
    of
    
    .
Answer: ________________________________


Section 3: Word Problems

Show your working and provide the final answer in the space provided.
  1. Ratio Sharing (Difficult) A prize of
    
    is shared between Sarah and Tom in the ratio
    
    . How much money does Tom receive?
Working Space:
Final Answer: ________________________________
  1. Percentage Discount (Difficult) A pair of shoes normally costs
    
    . During a sale, there is a
    
    discount. What is the sale price of the shoes?
Working Space:
Final Answer: ________________________________
  1. Compound Area and Perimeter (Very Difficult) Look at the figure below (Figure 1). Calculate the total area and the perimeter of the shape.
fig 1: L-shaped polygon with vertex and side length labels
fig 1: L-shaped polygon with vertex and side length labels

Area: ________________________________

Perimeter: ________________________________

Working Space:
  1. Time Zones (Very Difficult) A flight departs from Perth (AWST) at 9:00 AM on Monday and arrives in Sydney (AEST) 5 hours later. If Sydney is 2 hours ahead of Perth, what is the local time in Sydney when the plane lands?
Working Space:
Final Answer: ________________________________
  1. Statistics - Mean (Difficult) The marks for five students in a math test are: 14, 18, 12, 20, and 16. Calculate the mean mark.
Working Space:
Final Answer: ________________________________
  1. Data Interpretation (Very Difficult) Refer to the bar chart below (Figure 2) showing ice cream sales. Calculate the percentage of total sales that were Chocolate.
fig 2: Bar chart showing the units sold for four ice cream flavors: Vanilla (45), Chocolate (62), Strawberry (38), and Caramel (55).
fig 2: Bar chart showing the units sold for four ice cream flavors: Vanilla (45), Chocolate (62), Strawberry (38), and Caramel (55).

Working Space:
Final Answer: ________________________________ %

Ultimate Year 6 Mathematics Mastery Revision

Ultimate Year 6 Mathematics Mastery Revision

Welcome to your comprehensive revision sheet! This document contains 50 tasks designed to challenge your skills in algebra, geometry, statistics, and number sense. Work through each section carefully and show your working for the harder problems.


Section 1: Multiple Choice Questions (Choose)

Select the correct option for each question.
  1. What is the prime factorisation of 48?
  1. What is the prime factorisation of 48? A. 2⁴ × 3 B. 4 × 12 C. 2³ × 6 D. 2² × 3²
  1. Solve:
    
  1. What is the value of (15 + 5) × 3 - 10 ÷ 2? A. 50 B. 25 C. 55 D. 45
  1. Which decimal is equivalent to
    
    ?
  1. Which decimal is equivalent to 7/20? A. 0.14 B. 0.7 C. 0.035 D. 0.35
  1. If a number is divided by
    
    , the decimal point moves:
  1. If a number is divided by 10², the decimal point moves: A. Two places to the right B. Two places to the left C. One place to the left D. Three places to the left
  1. Identify the coordinate of point P if it is 4 units right and 3 units down from the origin.
  1. Identify the coordinate of point P (4 units right, 3 units down from origin): A. (-4, 3) B. (4, -3) C. (3, -4) D. (-3, 4)
  1. A triangle has two angles measuring
    
    and
    
    . What is the third angle?
  1. A triangle has two angles of 50° and 50°. What is the third angle? A. 100° B. 50° C. 80° D. 90°
  1. What is
    
    as a fraction in simplest form?
  1. What is 25% as a fraction in simplest form? A. 1/25 B. 2/5 C. 1/5 D. 1/4
  1. Solve for
    
    :
    
  1. Solve for x: 3x + 5 = 20 A. 5 B. 15 C. 7.5 D. 4
  1. Which of these numbers is a perfect square?
  1. Which of these numbers is a perfect square? A. 98 B. 150 C. 144 D. 120
  1. What is the value of
    
    ?
  1. What is the value of 5³? A. 75 B. 25 C. 15 D. 125
  1. Find the median of: 3, 7, 1, 9, 5.
  1. Find the median of the set: 3, 7, 1, 9, 5 A. 1 B. 5 C. 3 D. 7
  1. If a bag has 3 red and 7 blue marbles, what is the probability of NOT picking a red one?
  1. Probability of NOT picking a red marble (3 red, 7 blue)? A. 7/10 B. 1/2 C. 3/10 D. 7/3
  1. Round 4.567 to the nearest hundredth.
  1. Round 4.567 to the nearest hundredth: A. 4.6 B. 4.56 C. 4.57 D. 5.0
  1. How many grams are in
    
    ?
  1. How many grams are in 0.85 kg? A. 85 g B. 8.5 g C. 8500 g D. 850 g
  1. What is the name of a polygon with 8 sides?
  1. What is the name of a polygon with 8 sides? A. Heptagon B. Octagon C. Hexagon D. Nonagon
  1. Solve:
    
  1. Solve: -8 + (-3) A. -11 B. -5 C. 5 D. 11
  1. What is
    
    of 90?
  1. What is 1/3 of 90? A. 60 B. 45 C. 30 D. 90
  1. Which fraction is larger than
    
    ?
  1. Which fraction is larger than 1/2? A. 3/7 B. 5/8 C. 2/5 D. 4/9
  1. What is the sum of interior angles in a quadrilateral?
  1. Sum of interior angles in a quadrilateral? A. 360° B. 540° C. 180° D. 90°
  1. Find the mode of: 2, 4, 4, 6, 8, 4, 2.
  1. Find the mode of: 2, 4, 4, 6, 8, 4, 2 A. 6 B. 8 C. 2 D. 4


Section 2: Short Answer Questions (Complete)

Fill in the blanks with the correct answers.
  1. Geometry Check: In Figure 1, if angle A is
    
    , find the measure of angle B.
fig 1: Isosceles triangle ABC with side AB equal to side AC and interior angle arcs shown at all three vertices.
fig 1: Isosceles triangle ABC with side AB equal to side AC and interior angle arcs shown at all three vertices.

Answer: __________________
  1. Simplify the ratio
    
    to its lowest terms. Answer: __________________
  1. Convert
    
    to millilitres. Answer: __________________
    
  1. Write
    
    as a percentage. Answer: __________________
    
  1. Reading Scales: Look at the scale in Figure 2. Convert the weight shown into kilograms.
fig 2: A digital kitchen scale displaying a weight of 750 grams, ideal for mass conversion and scale-reading exercises.
fig 2: A digital kitchen scale displaying a weight of 750 grams, ideal for mass conversion and scale-reading exercises.

Answer: __________________

  1. What is the value of the digit 7 in the number 45.712? Answer: __________________
  1. Calculate:
    
    . Answer: __________________
  1. If
    
    , find the value of
    
    . Answer: __________________
  1. Circle Parts: In Figure 3, what is the line segment BC called?
fig 3: Geometric figure of a circle with center O, radius OA, and diameter BC
fig 3: Geometric figure of a circle with center O, radius OA, and diameter BC

Answer: __________________
  1. Solve:
    
    . Answer: __________________
  1. A rectangle has a length of
    
    and a perimeter of
    
    . What is its width? Answer: __________________
    
  1. Write the next two numbers in the sequence: 2, 6, 18, ... Answer: __________________ , __________________
  1. 3D Shapes: Calculate the volume of the prism in Figure 4.
fig 4: Rectangular prism with dimensions 10cm, 4cm, and 6cm and labeled vertices
fig 4: Rectangular prism with dimensions 10cm, 4cm, and 6cm and labeled vertices

Answer: __________________

  1. Calculate the surface area of a cube with a side length of
    
    . Answer: __________________
    
  1. Find
    
    of
    
    . Answer: __________________
  1. Convert
    
    into hours and minutes. Answer: __________ hours and __________ minutes.
  1. Solve:
    
    . Answer: __________________
  1. What is the reciprocal of
    
    ? Answer: __________________
  1. A car travels at
    
    . How far does it travel in
    
    ? Answer: __________________
    
  1. Data: According to the chart in Figure 5, if there are 200 students in Year 6, how many students chose Soccer?
fig 5: Pie chart showing the favorite sports of Year 6 students: Soccer (30%), Basketball (25%), Swimming (20%), Cricket (15%), and Netball (10%).
fig 5: Pie chart showing the favorite sports of Year 6 students: Soccer (30%), Basketball (25%), Swimming (20%), Cricket (15%), and Netball (10%).

Answer: __________________ students


Section 3: Multi-Step Word Problems

Show all your working clearly in the boxes provided.
  1. Budgeting: Sarah buys 3 notebooks for
    
    each and 2 pens for
    
    each. If she pays with a
    
    note, how much change should she receive?
Working:
  1. Time Zones: A live stream starts in London at 8:00 PM on Friday. If Melbourne is 9 hours ahead of London, what is the day and time in Melbourne when the stream starts?
Working:
  1. Ratio Sharing: A bag of 120 sweets is shared between Ben, Mia, and Leo in the ratio
    
    . How many sweets does each person get?
Working:
  1. Elapsed Time: Use the clock in Figure 6. If a movie starts at the time shown and lasts for 135 minutes, what time does the movie end?
fig 6: An analog clock showing 10:15 for a time calculation exercise.
fig 6: An analog clock showing 10:15 for a time calculation exercise.

Working:
  1. Profit and Loss: A shopkeeper buys 50 shirts for
    
    each. He sells 40 of them for
    
    each and the remaining 10 for
    
    each. Calculate his total profit.
Working:
  1. Fractional Operations: A tank is
    
    full of water. After
    
    are used, the tank is
    
    full. What is the total capacity of the tank?
Working:
  1. Geometry (Compound Area): A garden is shaped like an L (similar to the earlier revision shape). It consists of two rectangles: one is
    
    and the other is
    
    . What is the total area of the garden?
Working:
  1. Unit Rates: A recipe for 4 people requires
    
    of flour. How much flour is needed to make the same recipe for 10 people?
Working:
  1. Integers: The temperature in a freezer is
    
    . During a power cut, the temperature rises by
    
    every hour. What will the temperature be after 6 hours?
Working:
  1. Probability and Data: A spinner has 8 equal sections numbered 1 to 8. Calculate the probability of spinning a prime number OR a number greater than 6.
Working: