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.

Click to find A Parent's Secret Weapon for Smart Kids1.

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

2.

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

3.

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

4.

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

5.

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!

6.

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)

7.

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

8.

What is 1,000 / 8?

120

125

130

135

10 ÷ 8 = 1r2, 20 ÷ 8 = 2r4 and 40 ÷ 8 = 5 so the answer is 125

9.

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

10.

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

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