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Level 5-6 Numbers - Long Multiplication and Division
Farmer O'Nions sells his carrots in sacks of 120.

Level 5-6 Numbers - Long Multiplication and Division

Multiplication and division, do you find them exciting? Especially long multiplication and long division! Well, whether you love them or not, they're key in KS3 Maths, so let's dive in and understand.

For long multiplication, we tackle the 10s, 100s, and 1,000s separately. For example, to calculate 154 x 23, multiply 154 by 3, then by 2 (add a 0 to the end), and finally, add the two answers. Resulting in 3,542.

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Long division follows a similar path. For 3,542 ÷ 23, calculate 35 ÷ 23 = 1 remainder 12. The remainder becomes the first digit in the next number to divide. Continuing, divide 124 by 23, getting 5 remainder 9. Lastly, divide 92 by 23, resulting in 4. The answer is 154.

Give it a go yourself! Try some long division and multiplication. Happy learning with KS3 Maths!

1.
Anne has a collection of 483 stamps. Two friends want the same hobby so Anne shares her stamps between the three of them. How many does each person get?
151
155
157
161
483 / 3 = 161
2.
A train carries 107 seated passengers. At Waterloo station there are 33 trains. If the trains are full, how many seated passengers will there be?
3,531
3,786
3,855
4,000
Remember to check your answer by dividing it by 107 (to get 33) or 33 (to get 107)
3.
The latest best-selling novel is 314 pages long. A bookstore orders 840 copies. How many pages will there be?
240,650
256,781
261,009
263,760
That's a lot of pages!
4.
What is the remainder when 550 is divided by 9?
1
2
5
7
550 divided by 9 equals 61.1111... Ignore the decimal part and calculate 9 x 61 = 549. Thus, 550 - 549 =1. This method will always give you the whole number remainder in problems like this
5.
What is 234 x 87?
20,358
20,538
20,583
20,835
4 x 7 = 28 so you know that the correct answer will end in 8
6.
What is 1,445 / 17?
80
85
90
95
You can also multiply your answer by 17 to check it's correct. 85 x 17 = 1,445
7.
Pens are sold in boxes of 85. A shop orders 63 boxes. How many pens does the shop receive?
4,800
4,863
5,355
5,638
63 boxes of 85 pens. The calculation is 63 x 85
8.
Farmer O'Nions sells his carrots in sacks of 120. A restaurant is doing a carrot soup special and requires 1,000 carrots. How many sacks will they order?
8
9
10
11
1,000 / 120 is more than 8, therefore 9 sacks are needed
9.
What is 1,000 / 8?
120
125
130
135
10 ÷ 8 = 1r2, 20 ÷ 8 = 2r4 and 40 ÷ 8 = 5 so the answer is 125
10.
Mr Picasso buys 287 paintbrushes for his 41 art students. How many paintbrushes does each student get?
4
7
9
11
7 x 41 = 287
You can find more about this topic by visiting BBC Bitesize - Operations - Calculations

Author:  Frank Evans
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