Year 6: Ratio and simple algebra

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1. Red and blue beads are in the ratio 2:3. There are 25 beads. How many are red?

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   10

   Five equal parts; each part has 5 beads; red uses 2 parts.

2. A recipe uses 300 g flour for 4 people. How much flour is needed for 6 people?

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   450 g

   75 g per person x 6.

3. Find n: 4n + 7 = 31.

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   n = 6

   Subtract 7, then divide by 4.

4. A sequence increases by the same amount each time. It starts 5, 9, 13, 17. Write the next two numbers.

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   21, 25

   Add 4 each time.

5. A rectangle has width w cm and length 9 cm. Write a rule for its perimeter P cm.

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   P = 2w + 18

   Two widths plus two lengths.

6. Find the missing number: ___/15 = 2/3.

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   10

   Multiply the numerator and denominator of 2/3 by 5.

7. A map uses 1 cm for 2 km. Two places are 3.5 cm apart on the map. What is the real distance?

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   7 km

   3.5 x 2 = 7.

8. Find two whole numbers greater than zero whose sum is 11 and product is 30.

   Show answer and explanation

   5 and 6

   5 + 6 = 11 and 5 x 6 = 30.

All questions, passages and answer guidance were written originally for Trace Learn. Curriculum sources define the teaching scope only.

Curriculum source checked 2026-09-30.