ChildSocial Learning

    Grade 6 Maths Revision

    Practise number skills, calculations, fractions, geometry, measurement and real-life maths problems. Enter an answer for each question, then check your work.

    60 questionsSuggested time: 90 minCalculator-free practice
    Your progress0 of 60 answered

    Section A: Whole numbers, factors and multiples

    Use place value, divisibility, factors and order of operations.

    1
    What is the value of the digit 6 in 462,857?
    2
    Round 349,682 to the nearest 10,000.
    3
    Calculate: 72 − 8 × 5.
    4
    Write all the factors of 36.
    5
    Is 57 a prime number or a composite number?
    6
    Find the highest common factor (HCF) of 24 and 36.
    7
    Find the lowest common multiple (LCM) of 9 and 15.
    8
    Calculate: 4,275 ÷ 15.
    9
    Calculate: 236 × 34.
    10
    Find the missing number: 6 × (□ − 3) = 54.

    Section B: Fractions, decimals and percentages

    Give fractions in simplest form where possible.

    11
    Simplify 18/24.
    12
    Calculate: 1/2 + 2/5.
    13
    Calculate: 5/6 − 1/3.
    14
    Calculate: 4/7 × 21.
    15
    Write 0.625 as a fraction in its simplest form.
    16
    Write 7/20 as a percentage.
    17
    Find 30% of 450.
    18
    Increase 60 by 25%.
    19
    Calculate: 8.35 + 12.68.
    20
    Calculate: 20 − 7.42.

    Section C: Ratio, algebra and sequences

    Use equivalent ratios and inverse operations.

    21
    Simplify the ratio 20:30.
    22
    Share 48 marbles in the ratio 2:4. How many marbles are in the larger share?
    23
    If 5 pens cost $15, how much do 8 pens cost at the same rate?
    24
    Solve: x + 24 = 61.
    25
    Solve: 7y = 91.
    26
    Solve: 4x + 5 = 33.
    27
    Write an expression for 9 less than three times m.
    28
    Find the next two terms: 3, 8, 13, 18, __, __.
    29
    The rule is multiply by 4 then add 1. Find the output when the input is 6.
    30
    A rectangle has length 2x + 3 and width x. Write an expression for its perimeter.

    Section D: Geometry and angles

    Use angle facts and properties of 2D and 3D shapes.

    31
    Two angles on a straight line add to 180°. One is 114°. Find the other.
    32
    Angles around a point add to how many degrees?
    33
    A triangle has angles 55° and 63°. Find the third angle.
    34
    What is the sum of the interior angles of a quadrilateral?
    35
    What is the name of a polygon with 8 sides?
    36
    Find the circumference of a circle using π = 3.14 and diameter 14 cm.
    37
    Find the area of a triangle with base 16 cm and perpendicular height 9 cm.
    38
    Find the area of a parallelogram with base 14 cm and height 6 cm.
    39
    How many edges does a cube have?
    40
    Point B is at (5, −4). What is its y-coordinate?

    Section E: Measurement, time and statistics

    Watch the units and interpret data accurately.

    41
    Convert 6.25 km to metres.
    42
    Convert 4.8 kg to grams.
    43
    A train leaves at 09:18 and arrives after 3 hours 47 minutes. At what time does it arrive?
    44
    Find the mean of 4, 7, 9, 12 and 18.
    45
    Find the median of 8, 3, 15, 6 and 11.
    46
    Find the mode of 4, 7, 7, 9, 12, 7 and 15.
    47
    A box contains 4 red, 6 blue and 10 yellow balls. What is the probability of picking a red ball?
    48
    A rectangle has area 120 cm² and width 8 cm. Find its length.
    49
    A cuboid is 6 cm long, 5 cm wide and 4 cm high. Find its volume.
    50
    A price rises from $50 to $62.50. What is the percentage increase?

    Section F: Multi-step word problems

    Set out each step and include units in your final answer.

    51
    A library receives 1,800 books and lends out 45% of them. How many books remain?
    52
    A recipe uses rice and vegetables in the ratio 4:3. If 480 g of rice is used, how many grams of vegetables are needed?
    53
    A cyclist travels 96 km in 3 hours. What is the average speed in km/h?
    54
    A rectangular garden is 45 m long and 27 m wide. Find its perimeter.
    55
    Find the area of a circle with radius 14 cm using π = 22/7.
    56
    A school has 480 students. 5/8 of them walk to school. How many students walk to school?
    57
    A laptop costs $850 before a 20% discount. What is the discounted price?
    58
    A water tank is 2/5 full and contains 360 litres. What is its full capacity?
    59
    The average of five numbers is 24. Four numbers are 18, 22, 27 and 29. Find the fifth number.
    60
    A number is multiplied by 6, then 15 is subtracted. The result is 57. Find the original number.

    Made for learning and practice on ChildSocial.com · Cambridge-style primary maths revision (not an official exam paper).