In the previous quiz we learned how to perform multiplication and division with fractions – I hope you didn’t find it too difficult! In this, the second of our easy level quizzes on the topic, we look at multiplying and dividing decimal numbers, as well as fractions and whole numbers.

Decimal numbers don’t pose too much of a problem – just treat them the same as whole numbers and make sure you correctly place the decimal point. Making an estimate of the answer before you try any calculations should help with this. As far as fractions go, well, practice makes perfect! Keep playing these quizzes until you feel confident enough to move on to the next level.

As ever, be sure to read each question thoroughly – and make sure you understand it – before you choose your answer. And don’t forget the helpful comments after each question. You’ll find many useful tips hidden away in them.

1.

What is the correct answer to the given calculation?

^{1}⁄_{6} x 120

60

20

30

40

2.

What is the correct answer to the given calculation?

35 ÷ 2^{1}⁄_{2}

35 ÷ 2

28

87.5

14

56.7

To make this easier, first convert 2^{1}⁄_{2} into halves:

35 ÷ 2^{1}⁄_{2} = 35 ÷ ^{5}⁄_{2}

Next, invert (turn upside down) the fraction and multiply:

35 ÷^{5}⁄_{2} = 35 × ^{2}⁄_{5} = (35 × 2) ÷ 5 = 70 ÷ 5 = 14

35 ÷ 2

Next, invert (turn upside down) the fraction and multiply:

35 ÷

3.

What is the correct answer to the given calculation?

19 ×^{1}⁄_{3}

19 ×

58

6^{1}⁄_{3}

57

6^{2}⁄_{3}

In general, multiplying by 1 over a number is the same as dividing by that number: in this case, 3:

19 ÷ 3 = 6.333 or 6^{1}⁄_{3}

19 ÷ 3 = 6.333 or 6

4.

What is the correct answer to the given calculation?

142 x 13

142 x 13

1,846

1,704

1,988

1,820

Looking at the last digit in a number can provide a clue:

2 x 3 = 6 so the answer to 142 x 13 must end with a 6

2 x 3 = 6 so the answer to 142 x 13 must end with a 6

5.

What is the correct answer to the given calculation?

10 ÷^{1}⁄_{3}

10 ÷

30

3.3

3^{1}⁄_{3}

33

Remember that dividing by 1 over a number is the same as multiplying by that number: in this case, 3:

10 x 3 = 30

10 x 3 = 30

6.

What is the correct answer to the given calculation?

32 ÷^{3}⁄_{4}

32 ÷

24

42^{2}⁄_{3}

48

42^{1}⁄_{3}

To divide by a fraction, invert (turn upside down) the fraction and multiply. LEARN this technique. So, 32 ÷ ^{3}⁄_{4} = 32 × ^{4}⁄_{3} = (32 × 4) ÷ 3 = 128 ÷ 3 = 42.666 or 42^{2}⁄_{3}

7.

What is the correct answer to the given calculation?

24 ÷^{6}⁄_{8}

24 ÷

16

18

32

36

To divide by a fraction, invert (turn upside down) the fraction and multiply. LEARN this technique. So, 24 ÷ ^{6}⁄_{8} = 24 × ^{8}⁄_{6} = (24 × 8) ÷ 6 = 192 ÷ 6 = 32

8.

What is the correct answer to the given calculation?

1.7 ×^{1}⁄_{10}

1.7 ×

170

17

1.7

0.17

Remember that multiplying by 1 over a number is the same as dividing that number: in this case, 10:

1.7 ÷ 10 = 0.17

1.7 ÷ 10 = 0.17

9.

What is the correct answer to the given calculation?

97 ÷ 9

97 ÷ 9

10.9

10^{3}⁄_{4}

10.7

10^{7}⁄_{9}

97 ÷ 9 = 10 remainder 7. As we are dealing with ninths, the remainder becomes ^{7}⁄_{9}

10.

What is the correct answer to the given calculation?

18 × 2.4

18 × 2.4

48.6

36.4

40.5

43.2

Treat decimals just like whole numbers, but remember to correctly place the decimal point. 18 x 2 = 36 and 18 x 3 = 54, so your answer must fall between these two values (i.e. 43.2 rather than 432)

120 ÷ 6 = 20