Question 22 of 22beginner💡 UnderstandShort Answer3 marks

Form a pair. Collect 12 countable objects or counters (it can be coins, seeds, or pebbles). Now, share them between the two of you in different ways. If you divide them equally, what is the ratio of the number of counters with each of you? If your partner gets 5 counters, how many objects will you get? What is the ratio of the counters? Now, if you want to share the counters between the two of you in the ratio of 3:1, how many counters would each of you get?

Correct Answer

Equal Division: Each person gets 6 counters Ratio = 6:6 = 1:1

If Partner Gets 5 Counters: You get 12 - 5 = 7 counters Ratio = 5:7

For Ratio 3:1: Total counters = 12 Number of parts = 3 + 1 = 4 parts Each part = 12 ÷ 4 = 3 counters Partner gets = 3×33 \times 3 = 9 counters You get = 1×31 \times 3 = 3 counters

Exercise: Activity 3 | Q: 1 | (Page Page 14-15)
For More Understanding

Explanation

This hands-on activity helps students understand how to divide quantities in given ratios. When dividing in ratio m:n, the quantity is split into (m+n) equal parts, with one person getting m parts and the other getting n parts.

Solution Steps

  1. For equal division: Divide 12 counters by 2 people = 6 counters each, ratio 1:1

  2. If partner gets 5 counters: Subtract from total → 12 - 5 = 7 counters for you, ratio 5:7

  3. For ratio 3:1: Add the ratio parts → 3 + 1 = 4 total parts

  4. Find value of one part → 12 ÷ 4 = 3 counters per part

  5. Partner gets 3 parts → 3×33 \times 3 = 9 counters; You get 1 part → 1×31 \times 3 = 3 counters

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