Q.1. Look at the numbers. Write the rule describing each pattern.
(i) 12, 15, 18, 21, 24, 27, 30, 33
Ans. Start at 12. Add 3 each time.
(ii) 45, 40, 35, 30, 25, 20, 15, 10
Ans. Start at 45. Subtract 5 each time.
(iii) 6, 8, 10, 12, 14, 16, 18, 20
Ans. Start at 6. Add 2 each time.
(iv) 20, 30, 40, 50, 60, 70, 80, 90
Ans. Start at 20. Add 10 each time.
(v) 56, 49, 42, 35, 28, 21, 14, 7
Ans. Start at 56. Subtract 7 each time.
(vi) 11, 22, 33, 44, 55, 66, 77, 88
Ans. Start at 11. Add 11 each time.
(vii) 81, 72, 63, 54, 45, 36, 27, 18
Ans. Start at 81. Subtract 9 each time.
(viii) 15, 19, 23, 27, 31, 35, 39, 43
Ans. Start at 15. Add 4 each time.
(ix) 65, 62, 59, 56, 53, 50, 47, 44
Ans. Start at 65. Subtract 3 each time.
Q.2. Describe the pattern followed by the hops in each number line.
(i)
Ans. Start at 48. Add 12 each time.
(ii)
Ans. Start at –19. Add 4 each time.
(iii)
Ans. Start at 80. Subtract 10 each time.
(iv)
Ans. Start at 6. Subtract 18 each time.
(v)
Ans. Start at –10. Add 2 each time.
(vi)
Ans. Start at 73. Subtract 8 each time.
Q.3. Identify the number pattern and !ll in the missing numbers.
(i)
3 | 5 | 8 | 12 | 17 |
Ans. 23, 30, 38, 47, 57
(ii)
34 | 32 | 29 | 25 | 20 |
Ans. 14, 7, -1, -10, -20
(iii)
90 | 80 | 71 | 63 | 56 |
Ans. 50, 45, 41, 38, 36
(iv)
-50 | -42 | -34 | -27 | -21 |
Ans. -16, -12, -9, -7, -6
(v)
11 | 14 | 18 | 23 | 29 |
Ans. 36, 44, 53, 63, 74
(vi)
-3 | -2 | 0 | 3 | 7 |
Ans. 12, 13, 25, 33, 42
(vii)
75 | 66 | 58 | 51 | 45 |
Ans. 40, 36, 33, 31, 30
(viii)
19 | 17 | 14 | 10 | 5 |
Ans. -1, -8, -16, -25, -35
(ix)
1 | 2 | 4 | 7 | 11 |
Ans. 16, 22, 29, 37, 46
(x)
-6 | -8 | -11 | -15 | -20 |
Ans. -26, -33, -41, -50, -60
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1. What are the different types of patterns? |
2. How can patterns help in problem-solving? |
3. What is the significance of studying patterns in mathematics? |
4. How can patterns be used in real-life situations? |
5. How can teachers incorporate pattern activities in the classroom? |
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