Explanation:
We need to find the relationship between Pattern A and Pattern B in each of the four tables. Let’s go one table at a time.
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Table 1 (already solved as example):
Pattern A: 1, 2, 3, 4, 5
Pattern B: 2, 4, 6, 8, 10
Check:
1 × 2 = 2
2 × 2 = 4
3 × 2 = 6
→ So Pattern B = 2 × Pattern A
✔
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Table 2:
Pattern A: 5, 10, 15, 20, 25
Pattern B: 15, 30, 45, 60, 75
Let’s divide each Pattern B value by its corresponding Pattern A value:
15 ÷ 5 = 3
30 ÷ 10 = 3
45 ÷ 15 = 3
60 ÷ 20 = 3
75 ÷ 25 = 3
All give 3. So Pattern B = 3 × Pattern A.
✔ Relation:
Pattern B = 3 × Pattern A
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Table 3:
Pattern A: 14, 21, 28, 35, 42
Pattern B: 2, 3, 4, 5, 6
Try dividing Pattern A by Pattern B:
14 ÷ 2 = 7
21 ÷ 3 = 7
28 ÷ 4 = 7
35 ÷ 5 = 7
42 ÷ 6 = 7
All equal 7. So Pattern A = 7 × Pattern B → or Pattern B = Pattern A ÷ 7.
✔ Relation:
Pattern B = Pattern A ÷ 7
(Or Pattern A = 7 × Pattern B — but since the earlier example wrote “Pattern B = …”, we’ll follow that format.)
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Table 4:
Pattern A: 7, 9, 11, 13, 15
Pattern B: 35, 45, 55, 65, 75
Divide Pattern B by Pattern A:
35 ÷ 7 = 5
45 ÷ 9 = 5
55 ÷ 11 = 5
65 ÷ 13 = 5
75 ÷ 15 = 5
All are 5. So Pattern B = 5 × Pattern A.
✔ Relation:
Pattern B = 5 × Pattern A
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Now let’s write all four relations clearly:
1. Pattern B = 2 × Pattern A
2. Pattern B = 3 × Pattern A
3. Pattern B = Pattern A ÷ 7
4. Pattern B = 5 × Pattern A
Final Answer:
Pattern B = 3 × Pattern A
Pattern B = Pattern A ÷ 7
Pattern B = 5 × Pattern A
Parent Tip: Review the logic above to help your child master the concept of pattern multiplication worksheet.
