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An orange five-ball from pool
To divide by 5, first multiply by 2 and then move the digits to the right.

Multiplication and Division 2 (Medium)

Multiplication and division appear everywhere in real life. In 11 Plus Maths, these skills help students calculate patterns, ratios, and quantities efficiently and accurately.

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Fascinating Fact:

A single sunflower can produce up to two thousand seeds, each capable of becoming another plant, multiplication at work in nature.

In 11 Plus Maths, multiplication and division are key to solving practical and theoretical problems. From scaling recipes to understanding ratios and averages, these skills underpin many everyday calculations.

  • Ratio: A way of comparing quantities to show how much of one thing there is compared with another.
  • Multiple: A number that can be divided exactly by another number without leaving a remainder.
  • Inverse: An operation that reverses the effect of another, like division reversing multiplication.
How does multiplication show up in real life?

Multiplication is used to calculate totals quickly, such as the cost of several items, or the number of objects in repeated patterns.

Why are multiplication and division called inverse operations?

They are called inverse because one undoes the other. Dividing a number by a value reverses the result of multiplying it by that same value.

How can I use ratios when dividing numbers?

Ratios allow you to divide numbers into parts that keep a specific relationship, such as sharing sweets between friends in equal or fixed proportions.

1 .
What is the correct answer to the given calculation?
714 × 11 = ?
7,548
7,485
7,854
7,845
To multiply a number by 11, first multiply the number by 10, then add the original number to it:
714 x 11 = (714 x 10) + 714 = 7,140 + 714 = 7,854
2 .
What is the correct answer to the given calculation?
212 × 9 = ?
1,809
1,098
1,980
1,908
To multiply a number by 9: first multiply the number by 10, then subtract the original number from it:
212 × 9 = (212 x 10) - 212 = 2,120 - 212 = 1,908
3 .
What is the correct answer to the given calculation?
326 ÷ 5 = ?
0.652
652
6.52
65.2
To divide a number by 5: first multiply by 2 and then move the digits to the right:
326 ÷ 5 = (326 × 2) ÷ 10 = 652 ÷ 10 . Move the d.p. 1 place to the left gives 65.2
4 .
What is the correct answer to the given calculation?
475 ÷ 25 = ?
17
18
19
20
To divide a number by 25: divide by 100, then multiply by 4:
475 ÷ 25 = (475 ÷ 100) x 4 = 4.75 x 4 = 19
5 .
What is the correct answer to the given calculation?
2,343 × 5 = ?
11,157
11,715
11,571
11,175
To multiply a number by 5: first divide by 2, then move the digits to the left:
2,343 × 5 = (2,343 ÷ 2) x 10 = 1,171.5 x 10. Move the d.p. 1 place to the right gives 11,715
6 .
What is the correct answer to the given calculation?
627 × 25 = ?
15,675
15,765
15,576
15,756
To multiply a number by 25: multiply by 100, then divide by 4:
627 × 25 = (627 x 100) ÷ 4 = 62,700 ÷ 4 = 15,675
7 .
What is the correct answer to the given calculation?
134 × 12 = ?
1,608
1,806
1,068
1,680
To multiply a number by 12, first multiply the number by 10, then add twice the original number to it:
134 × 12 = (134 x 10) + (134 x 2) = 1,340 + 268 = 1,608
8 .
What is the correct answer to the given calculation?
394,227 ÷ 1,000 = ?
3.94227
394.227
3,942.27
39.4227
To divide a number by a multiple of 10 whose only non-zero digit is the leading digit 1: move the digits to the right by the same number of zeros that are in the multiple of 10, in this case 3 places as there are 3 zeros in 1,000
9 .
What is the correct answer to the given calculation?
27 × 101 = ?
27,270
272.7
2,727
2,277
To multiply a number by 101, first multiply by 100 then add the original number:
27 × 101 = (27 x 100) + 27 = 2,700 + 27 = 2,727
10 .
What is the correct answer to the given calculation?
96 × 80 = ?
7,608
7,860
7,086
7,680
To multiply a number by 80, multiply the number by 2, then by 2 again, and again by 2, and finally by 10:
96 × 80 = (96 x 2 x 2 x 2) x 10 = (192 x 2 x 2) x 10 = (384 x 2) x 10 = 768 x 10 = 7,680
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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