Welcome to the third in our Easy section of Eleven Plus maths quizzes on Multiplication and Division. Just like the first two, this quiz will give you more chance to work with decimal numbers and fractions, which can cause some people problems!

Here are a couple of tips which might help you:

- Multiplying by 1 over a number is the same as dividing by that number, so 3 x
^{1}⁄_{5}= 3 ÷ 5 =^{3}⁄_{5} - To divide by a fraction, invert the fraction and multiply, so , 3 ÷
^{2}⁄_{5}= 3 x^{5}⁄_{2}= (3 x 5) ÷ 2 = 7 remainder 1 = 7^{1}⁄_{2}

Does it still seem a little complicated? Don’t worry. Play the quiz and read all the helpful comments after each question. Keep playing until you can score a perfect 10 out of ten. Good luck!

1.

What is the correct answer to the given calculation?

24 ÷^{1}⁄_{2}

24 ÷

12

48

36

60

Remember that dividing by 1 over a number is the same as multiplying by that number: in this case, 2:
24 x 2 = 48

2.

What is the correct answer to the given calculation?

3.4 x^{1}⁄_{20}

3.4 x

170

17

1.7

0.17

Remember that multiplying by 1 over a number is the same as dividing that number: in this case, 20:

3.4 ÷ 20 = (3.4 ÷ 2) ÷ 10 = 1.7 ÷ 10 = 0.17

3.4 ÷ 20 = (3.4 ÷ 2) ÷ 10 = 1.7 ÷ 10 = 0.17

3.

What is the correct answer to the given calculation?

21 x 17

21 x 17

357

347

337

327

21 × 17 = (20 × 17) + 17 = 357. Decrease 21 by 1 and do the multiplication THEN add 17. Be on the LOOKOUT for products that can be simplified: this will enable you to do the calculation in your head

4.

What is the correct answer to the given calculation?

37 ÷ 1^{3}⁄_{4}

37 ÷ 1

64^{3}⁄_{4}

21^{2}⁄_{7}

21^{1}⁄_{4}

21^{1}⁄_{7}

To make this easier, first convert 1^{3}⁄_{4} into quarters:

37 ÷ 1^{3}⁄_{4} = 37 ÷ ^{7}⁄_{4}

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

37 ÷^{7}⁄_{4} = 37 × ^{4}⁄_{7} = (37 × 4) ÷ 7 = 148 ÷ 7 = 21 remainder 1 = 21^{1}⁄_{7}

37 ÷ 1

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

37 ÷

5.

What is the correct answer to the given calculation?

33 x 22

33 x 22

726

706

686

666

33 x 2 = 66 and 33 x 20 = 660 so 33 x 22 = 66 + 660 = 726. Look for shortcuts like this which allow you to work out the answer in your head

6.

What is the correct answer to the given calculation?

14 ÷^{3}⁄_{8}

14 ÷

28^{1}⁄_{3}

37^{1}⁄_{8}

37^{1}⁄_{3}

28^{1}⁄_{8}

To divide by a fraction, invert (turn upside down) the fraction and multiply. LEARN this technique. So, 14 ÷ ^{3}⁄_{8} = 14 × ^{8}⁄_{3} = (14 × 8) ÷ 3 = 112 ÷ 3 = 37 remainder 1 = 37^{1}⁄_{3}

7.

What is the correct answer to the given calculation?

11 ÷^{2}⁄_{3}

11 ÷

15^{1}⁄_{3}

15^{1}⁄_{2}

16^{1}⁄_{3}

16^{1}⁄_{2}

To divide by a fraction, invert (turn upside down) the fraction and multiply. LEARN this technique. So, 11 ÷ ^{2}⁄_{3} = 11 × ^{3}⁄_{2} = (11 × 3) ÷ 2 = 33 ÷ 2 = 16 remainder 1 = 16^{1}⁄_{2}

8.

What is the correct answer to the given calculation?

^{1}⁄_{5} x 23

4^{3}⁄_{5}

4^{2}⁄_{5}

5^{3}⁄_{5}

115

1⁄5 × 23 = 23 ÷ 5 = 4 remainder 3 = 4^{3}⁄_{5}. In general, multiplying by 1 over a number is the same as dividing by that number: in this case, 5

9.

What is the correct answer to the given calculation?

17 x^{1}⁄_{4}

17 x

68

4^{1}⁄_{4}

3^{3}⁄_{4}

4^{1}⁄_{2}

Multiplying by 1⁄4 is the same as dividing by 4 ∴ 17 ÷ 4 = 4 remainder 1 = 4^{1}⁄_{4}. In general, multiplying by 1 over a number is the same as dividing by that number: in this case, 4

10.

What is the correct answer to the given calculation?

27 ÷ 5

27 ÷ 5

5

5^{1}⁄_{5}

5^{2}⁄_{5}

5^{3}⁄_{5}

27 ÷ 5 = 5 remainder 2. As we are dealing with fifths, the remainder becomes ^{2}⁄_{5}