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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________

3. Find three common multiples of the following pairs of numbers.
a. 3 and 5 b. 4 and 6 c. 6 and 9 d. 8 and 12

e. 4 and 8 f. 9 and 12 g. 2 and 6 h. 5 and 8

4. Food is available at the end of a stepping-stone path. Zara, the zebra, hops 6
stones at a time and Milo, the monkey, hops 7 stones at a time. Both start from
stone 0. The path ends at stone 70, where a bunch of bananas is waiting.

70 69 68 67 66 65 64 63 62 61
60
50 51 52 53 54 55 56 57 58 59

49 48 47 46 45 44 43 42 41 40

30 31 32 33 34 35 36 37 38 39

29 28 27 26 25 24 23 22 21 20

10 11 12 13 14 15 16 17 18 19

9 8 7 6 5 4 3 2 1 0

a. List all the numbers of the stepping stones on which Zara jumps.

b. List all the numbers of the stepping stones on which Milo jumps.
c. Will both Zara and Milo reach the bananas?

d. On which stepping stones will they both jump?
e. Who will reach the bananas first?

f. What jump sizes should Zara take to reach the bananas?

5. Find out which of the following numbers can be reached by jumps of 6 steps.

0 8 12 19 24 30 38 41
6 is the common factor of the numbers ___________.

6. Find the common factors of the following pairs of numbers.

a. 15 and 18 b. 6 and 9 c. 12 and 15

d. 9 and 24 e. 15 and 20 f. 24 and 36
7. One street light blinks every 6 seconds, while another blinks every 15 seconds. If
both blink together now, after how many seconds will they blink together again?

72 Mathematics 5