Write:

(i) the seventh multiple of 36

(ii) the even multiples of 9 less than 100

(iii) the odd multiples of 17 less than 150

(iv) the first 3-digit even multiple of 7

(v) the multiples of 6 between 40 and 80

(vi) the greatest 2-digit even multiple of 5

(i) The seventh multiple of 36 = 36 × 7 = 252.

Hence, the seventh multiple of 36 is 252.

(ii) Even multiples of 9 are obtained by multiplying 9 by even numbers.

9 × 2 = 18, 9 × 4 = 36, 9 × 6 = 54, 9 × 8 = 72, 9 × 10 = 90

(9 × 12 = 108, which is greater than 100.)

Hence, the even multiples of 9 less than 100 are 18, 36, 54, 72 and 90.

(iii) Odd multiples of 17 are obtained by multiplying 17 by odd numbers.

17 × 1 = 17, 17 × 3 = 51, 17 × 5 = 85, 17 × 7 = 119

(17 × 9 = 153, which is greater than 150.)

Hence, the odd multiples of 17 less than 150 are 17, 51, 85 and 119.

(iv) The smallest 3-digit number is 100. We find the smallest multiple of 7 which is a 3-digit even number.

7 × 15 = 105 (odd)

7 × 16 = 112 (even)

Hence, the first 3-digit even multiple of 7 is 112.

(v) Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, …

Hence, the multiples of 6 between 40 and 80 are 42, 48, 54, 60, 66, 72 and 78.

(vi) The greatest 2-digit number is 99. An even multiple of 5 must end in 0.

The greatest 2-digit number ending in 0 is 90, and 90 = 5 × 18.

Hence, the greatest 2-digit even multiple of 5 is 90.