**Multiplication and division can involve dealing with fractions.** Knowing your times tables is always useful when it comes to multiplying and dividing. You should be able to do most of this stuff in your head.

Are you a numbers person? Do you like numbers? Many careers involve a solid knowledge of how numbers work. To help you with this 11-plus Maths quiz and our others on multiplication and division, we have a number of times tables quizzes in our 11-plus curriculum. They only go up to the 12 times tables, but if you wanted you could always teach yourself higher tables. If you are a 'numbers nerd', then impress your friends with the 14, 18 or even 23 times table!

This quiz involves multiplying and dividing using fractions which is a little trickier than whole numbers. Make sure you get 10 out of 10 before moving onto our next quiz in the series.

1.

What is the correct answer to the given calculation?

^{1}⁄_{5} × 25

75

125

5

2.

What is the correct answer to the given calculation?

^{1}⁄_{8} × 64

8

16

4

2

Multiplying by ^{1}⁄_{8} is the same as dividing by 8 ∴ 64 ÷ 8 = 8. In general, multiplying by 1 over a number is the same as dividing by that number: in this case, 8

3.

What is the correct answer to the given calculation?

10,000 × 25

10,000 × 25

250,000

25,000

2,500

250

10,000 × 25 = 250,000. To multiply 25 by 1,000, just add three zeros to 25. If there is a decimal point in the number, move the decimal point 3 places to the right and add a zero for each place position if there are no digits in those place positions. You should be able to do this in your head

4.

What is the correct answer to the given calculation?

12 ÷ 7 gives a fractional remainder

12 ÷ 7 gives a fractional remainder

12 ÷ 7 = 1 remainder 5. You are dividing by 7, so the fractional remainder must be ^{5}⁄_{7}

5.

What is the correct answer to the given calculation?

18 ÷ 5 gives a fractional remainder

18 ÷ 5 gives a fractional remainder

18 ÷ 5 = 3 remainder 3. You are dividing by 5, so the fractional remainder must be ^{3}⁄_{5}

6.

What is the correct answer to the given calculation?

50 ÷^{2}⁄_{100}

50 ÷

1

25,000

25

2,500

50 ÷ ^{2}⁄_{100} = 50 ÷ ^{1}⁄_{50} = 50 × 50 = 2,500. To divide by a fraction, invert (turn upside down) the fraction and multiply, but DON'T forget to simplify the fraction whenever you can. LEARN this technique

7.

What is the correct answer to the given calculation?

17 × 25

17 × 25

342

452

425

354

Short cut: 17 × 25 = (17 × 100) ÷ 4 = 1,700 ÷ 4 = 425. Multiply 25 by 4, then divide the product by 4. Be on the LOOKOUT for products that can be simplified: this will enable you to do the calculation in your head

8.

What is the correct answer to the given calculation?

12 ÷^{2}⁄_{7}

12 ÷

42

3.4

48

56

To divide by a fraction, invert (turn upside down) the fraction and multiply. LEARN this technique. So, 12 ÷ ^{2}⁄_{7} = 12 × ^{7}⁄_{2} = (12 × 7) ÷ 2 = 84 ÷ 2 = 42

9.

What is the correct answer to the given calculation?

49 × 13

49 × 13

610

601

673

637

49 × 13 = (50 × 13) - 13 = 637. Increase 49 by 1 and do the multiplication THEN subtract 13. Be on the LOOKOUT for products that can be simplified: this will enable you to do the calculation in your head

10.

What is the correct answer to the given calculation?

The number of^{1}⁄_{9} in 50

The number of

5.6

45

9

450

The number of ^{1}⁄_{9} in 50 = 50 × 9 = 450. To divide by a fraction, invert (turn upside down) the fraction and multiply: in this case, dividing by one ninth is the same as multiplying by 9. LEARN this technique

^{1}⁄_{5}× 25 = 25 ÷ 5 = 5. In general, multiplying by 1 over a number is the same as dividing by that number: in this case, 5