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1. Find the sum of the numbers by rearranging them:
(i)729 + 1864 + 271
(ii) 865 + 2745 + 135
2. Find the product of the following numbers using the patterns:
(i) 50 × 674 × 2
(ii) 125 × 1099 × 8
3. Evaluate the following using patterns:
(i) 7217 × 77 + 23 × 7217
(ii) 456 × 112 – 12 × 456
4. Multiply using pattern.
(i) 35427 × 102
(ii) 12345 × 98
5. Find the difference using pattern.
(i) 4000 – 1794
(ii) 8900 – 4563
6. Evaluate the following using suitable patterns (properties):
(i) 2743 – 999
(ii) 10089 – 998
(iii) 4668 + 998
(iv) 5079 + 99
7. Find the product using suitable patterns (properties):
(i) 374 * 15
(ii) 168 * 50
(iii) 8040 * 125
(iv) 4824 * 25
8. Determine which of the following numbers are multiples of 3 without actual division?
(i) 3768
(ii) 11379
(Ⅲ) 1084
(iv) 75483
9. Consider the numbers 7, 7 × 7, 7 × 7 × 7, 7 × 7 × 7 × 7, 7 × 7 × 7 × 7 × 7. Find the right-most digit of each of these numbers. What do you observe? Based on your observation, find the right-most digit of the number 7 * 7 * 7 * 7…… 11 times.
10. It is given that 1 + 2 + 3 + 4 + …………. + 10 = 55.
So, 11 + 12 + 13 + ………… + 20
= 155 [11 + 12 + 13 + ……. + 20
= (10 + 1) + (10 + 2) + ……….. + (10 + 10)
= 100 + 55]
Using the above pattern, evaluate the following:
(i) 31 + 32 + 33 + …………… + 40
(ii) 101 + 102 + 103 + …………. + 110
(iii) 991 + 992 + 993 + ………….. + 1000
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