Let’s solve each problem one by one. Remember: a ratio compares two quantities, and we always simplify it if possible (like reducing a fraction).
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Problem 1a:
A math club has 25 members. 11 are males → so females = 25 - 11 = 14.
We want the ratio of
males to all club members.
That’s 11 : 25.
Can we simplify? 11 is prime, and doesn’t divide 25 → so it’s already simplified.
✔ Answer for 1a:
11:25
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Problem 2a:
8 boys and 24 girls → total children = 8 + 24 = 32.
Ratio of
girls to all children = 24 : 32.
Simplify: both divisible by 8 → 24÷8=3, 32÷8=4 → 3:4.
✔ Answer for 2a:
3:4
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Problem 3a:
15 boys and 12 girls.
Ratio of
girls to boys = 12 : 15.
Simplify: both divisible by 3 → 12÷3=4, 15÷3=5 → 4:5.
✔ Answer for 3a:
4:5
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Problem 4a:
4 blue triangles and 12 yellow triangles → total triangles = 4 + 12 = 16.
Ratio of
blue triangles to all triangles = 4 : 16.
Simplify: divide both by 4 → 1 : 4.
✔ Answer for 4a:
1:4
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Problem 5a:
Gardening club: 21 members, 13 males → females = 21 - 13 = 8.
Ratio of
females to all club members = 8 : 21.
Check if simplifiable: 8 and 21 share no common factors besides 1 → already simplified.
✔ Answer for 5a:
8:21
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Problem 6a:
Dylan drew: 1 heart, 1 star, 26 circles.
Ratio of
circles to hearts = 26 : 1.
Already in simplest form.
✔ Answer for 6a:
26:1
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Final Answer:
1a. 11:25
2a. 3:4
3a. 4:5
4a. 1:4
5a. 8:21
6a. 26:1
Parent Tip: Review the logic above to help your child master the concept of printable maths worksheets ks2 problem solving.
