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A fiery number ten
Multiplication and division are easy if they involve multiples of ten.

Multiplication and Division 2 (Difficult)

Multiplication and division can make even the trickiest problems easier. In 11 Plus Maths, they’re essential for tackling sequences, patterns, and logical challenges.

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Fascinating Fact:

If you own three cats and each sheds one million hairs a day, you have three million reasons to buy a better vacuum cleaner.

In 11 Plus Maths, multiplication and division questions may include multi-step reasoning, missing numbers, and number patterns. These help pupils learn accuracy, estimation, and how to check answers logically.

  • Dividend: The number that is being divided in a division calculation.
  • Multiplier: The number by which another number is multiplied.
  • Remainder: The amount left over when one number does not divide exactly into another.
How can I check if my division answer is correct?

You can multiply the quotient by the divisor. If the result matches the dividend, your division answer is correct.

What should I do if I get a remainder in division?

Write the remainder clearly or express it as a fraction or decimal depending on the question’s requirement.

Why do multiplication and division appear together in Maths tests?

They are inverse operations, so solving one helps check the other. Practising both improves number sense and problem-solving skills.

1 .
What is the correct answer to the given calculation?
27.3 × 98 = ?
267.54
26,754
2,675.4
26.754
To multiply a number by 98, first multiply the number by 100, then subtract double the original number:
27.3 × 98 = (27.3 x 100) - (27.3 x 2) = 2,730 - 54.6 = 2,675.4
2 .
What is the correct answer to the given calculation?
16,320 ÷ 1,020 = ?
16
17
18
19
This is a toughie but you can get through it with trial and error
3 .
What is the correct answer to the given calculation?
128.2 × 1,005 = ?
128,481
128,148
128,814
128,841
To multiply a number by 1,005: first multiply by 1,000, then divide the original number by 2 and move the digits to the left, finally add these two numbers together:
128.2 × 1,005 = (128.2 x 1,000) + ((128.2 ÷ 2) x 10) = 128,200 + (64.1 x 10) = 128,200 + 641 = 128,841
4 .
What is the correct answer to the given calculation?
14,550 ÷ 300 = ?
45.8
48.5
54.8
58.4
To divide a number by 300: first divide by 3, then divide by 100:
14,550 ÷ 300 = (14,550 ÷ 3) ÷ 100 = 4,850 ÷ 100 = 48.5
5 .
What is the correct answer to the given calculation?
11,002 × 150 = ?
1,560,300
1,650,300
1,350,600
1,630,500
To multiply a number by 150, first divide by 2, then move the digits 2 places to the left, then multiply the original number by 100, finally add these two answers together:
11,002 × 150 = ((11,002 ÷ 2) x 100) + 11,002 x 100 = (5,501 x 100) + 1,100,200 = 550,100 + 1,100,200 = 1,650,300
6 .
What is the correct answer to the given calculation?
350,000 ÷ 9,999 = ?
35.305
35.035
35.35
35.0035
To divide a number by 9,999, here’s a neat trick - divide by both 10,000 and 100,000,000 and add the two answers together:
350,000 ÷ 9,999 = (350,000 ÷ 10,000) + (350,000 ÷ 100,000,000) = 35 + 0.0035 = 35.0035
7 .
What is the correct answer to the given calculation?
1.532 × 104 = ?
159.328
159.238
159.832
159.382
To multiply a number by 104, first multiply the number by 100, then add quadruple the original number to it:
1.532 × 104 = (1.532 x 100) + (1.532 x 4) = 153.2 + 6.128 = 159.328
8 .
What is the correct answer to the given calculation?
342 ÷ 15 = ?
28.2
26.2
22.8
24.8
To divide a number by 15, first divide by 10, then multiply by 2, and finally divide by 3:
342 ÷ 15 = ((342 ÷ 10) x 2) ÷ 3 = (34.2 x 2) ÷ 3 = 68.4 ÷ 3 = 22.8
9 .
What is the correct answer to the given calculation?
14.369 × 210 = ?
3,019.74
3,047.19
3,014.79
3,017.49
To multiply a number by 210, first multiply by 2 and then by 100, next multiply the original number by 10 and add your two answers together:
14.369 × 210 = ((14.369 x 2) x 100) + (14.369 x 10) = (28.738 x 100) + 143.69 = 2,873.8 + 143.69 = 3,017.49
10 .
What is the correct answer to the given calculation?
84,450 ÷ 2,000 = ?
45.222
42.225
42.252
42.522
To divide a number by 2,000 just divide the number by 2, then by 1,000 – simple!
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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