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About Ratios — Class 6 IB

Explore equivalent ratios, simplify ratios, and apply them to sharing and scaling problems. This topic is part of the IB Class 6 mathematics syllabus (chapter: Unit 4). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

Ratios — solved examples for Class 6 IB

Example 1easy

Simplify the ratio 10 : 15.
  1. A)1 : 2
  2. B)2 : 3
  3. C)3 : 5
  4. D)5 : 7

Step-by-step solution

  1. GCD of 10 and 15 is 5.
    10:15=2:310 : 15 = 2 : 3

Answer: 2 : 3

Example 2medium

Divide $72 in the ratio 5 : 3 : 1.
  1. A)40,40, 24, $8
  2. B)45,45, 18, $9
  3. C)36,36, 27, $9
  4. D)30,30, 30, $12

Step-by-step solution

  1. One part:
    72÷9=872 \div 9 = 8
  2. Shares:
    5×8=40,  3×8=24,  1×8=85 \times 8 = 40, \; 3 \times 8 = 24, \; 1 \times 8 = 8

Answer: 40,40, 24, $8

Example 3hard

The ratio of boys to girls in a school is 5 : 7. If there are 480 students in total, how many more girls than boys are there?
  1. A)60
  2. B)70
  3. C)80
  4. D)90

Step-by-step solution

  1. One part:
    480÷12=40480 \div 12 = 40
  2. Difference:
    2×40=802 \times 40 = 80

Answer: 80

Practice questions on Ratios

  1. Q1.easy

    Write the ratio of 4 girls to 6 boys in simplest form.
    1. A)4 : 6
    2. B)2 : 3
    3. C)1 : 2
    4. D)3 : 2
    Show answer

    Answer: 2 : 3

    Hint: Divide both numbers by 2.

  2. Q2.easy

    If the ratio of cats to dogs is 3 : 5, and there are 9 cats, how many dogs are there?
    1. A)12
    2. B)15
    3. C)10
    4. D)18
    Show answer

    Answer: 15

    Hint: The multiplier is 9 ÷ 3 = 3. Apply it to the dogs.

  3. Q3.easy

    Express the ratio 8 : 12 : 20 in simplest form.
    1. A)2 : 3 : 5
    2. B)4 : 6 : 10
    3. C)1 : 2 : 3
    4. D)2 : 4 : 5
    Show answer

    Answer: 2 : 3 : 5

    Hint: The GCD of 8, 12, and 20 is 4.

  4. Q4.medium

    The ratio of A to B is 4 : 7. If B is 35, what is A + B?
    1. A)45
    2. B)50
    3. C)55
    4. D)60
    Show answer

    Answer: 55

    Hint: Scale factor = 35 ÷ 7 = 5. A = 4 × 5 = 20.

  5. Q5.medium

    A fruit punch mixes juice and water in the ratio 2 : 5. How much water is needed for 600 ml of juice?
    1. A)1200 ml
    2. B)1500 ml
    3. C)1800 ml
    4. D)2000 ml
    Show answer

    Answer: 1500 ml

    Hint: If juice = 2 parts = 600 ml, then 1 part = 300 ml. Water = 5 parts.

  6. Q6.medium

    Increase 40 in the ratio 5 : 4.
    1. A)32
    2. B)48
    3. C)50
    4. D)44
    Show answer

    Answer: 50

    Hint: Increasing in the ratio 5 : 4 means new : old = 5 : 4. New = 40 × 5/4.

  7. Q7.hard

    If A : B = 3 : 4 and B : C = 5 : 6, find A : C.
    1. A)15 : 24
    2. B)3 : 6
    3. C)5 : 8
    4. D)9 : 16
    Show answer

    Answer: 15 : 24

    Hint: Make B the same in both: A : B = 15 : 20 and B : C = 20 : 24.

  8. Q8.hard

    Three partners invest in a business in the ratio 2 : 3 : 5. The total profit is $4,000. How much does the partner with the largest share receive?
    1. A)$1,500
    2. B)$1,800
    3. C)$2,000
    4. D)$2,200
    Show answer

    Answer: $2,000

    Hint: Total parts = 10. Largest share = 5 parts.

  9. Q9.hard

    The ratio of the angles of a triangle is 2 : 3 : 4. Find the largest angle.
    1. A)60°
    2. B)70°
    3. C)80°
    4. D)90°
    Show answer

    Answer: 80°

    Hint: Angles of a triangle sum to 180°. Total parts = 9.

These are 9 of the 60 questions available for Ratios. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.