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!
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1.
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Mr Picasso buys 287 paintbrushes for his 41 art students. How many paintbrushes does each student get? |
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2.
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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? |
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| [ ] |
3,531 |
| [ ] |
3,786 |
| [ ] |
3,855 |
| [ ] |
4,000 |
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3.
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What is 1,000 / 8? |
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| [ ] |
120 |
| [ ] |
125 |
| [ ] |
130 |
| [ ] |
135 |
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4.
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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 |
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5.
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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? |
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| [ ] |
8 |
| [ ] |
9 |
| [ ] |
10 |
| [ ] |
11 |
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6.
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What is 1,445 / 17? |
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| [ ] |
80 |
| [ ] |
85 |
| [ ] |
90 |
| [ ] |
95 |
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7.
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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 |
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8.
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What is 234 x 87? |
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| [ ] |
20,358 |
| [ ] |
20,538 |
| [ ] |
20,583 |
| [ ] |
20,835 |
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9.
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The latest best-selling novel is 314 pages long. A bookstore orders 840 copies. How many pages will there be? |
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| [ ] |
240,650 |
| [ ] |
256,781 |
| [ ] |
261,009 |
| [ ] |
263,760 |
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|
|
10.
|
What is the remainder when 550 is divided by 9? |
|
|
|
|
1.
|
Mr Picasso buys 287 paintbrushes for his 41 art students. How many paintbrushes does each student get? |
|
|
|
|
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? |
|
| [x] |
3,531 |
| [ ] |
3,786 |
| [ ] |
3,855 |
| [ ] |
4,000 |
|
|
|
3.
|
What is 1,000 / 8? |
|
| [ ] |
120 |
| [x] |
125 |
| [ ] |
130 |
| [ ] |
135 |
|
|
|
4.
|
Pens are sold in boxes of 85. A shop orders 63 boxes. How many pens does the shop receive? |
|
| [ ] |
4,800 |
| [ ] |
4,863 |
| [x] |
5,355 |
| [ ] |
5,638 |
|
|
|
5.
|
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 |
| [x] |
9 |
| [ ] |
10 |
| [ ] |
11 |
|
|
|
6.
|
What is 1,445 / 17? |
|
| [ ] |
80 |
| [x] |
85 |
| [ ] |
90 |
| [ ] |
95 |
|
|
|
7.
|
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 |
| [x] |
161 |
|
|
|
8.
|
What is 234 x 87? |
|
| [x] |
20,358 |
| [ ] |
20,538 |
| [ ] |
20,583 |
| [ ] |
20,835 |
|
|
|
9.
|
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 |
| [x] |
263,760 |
|
|
|
10.
|
What is the remainder when 550 is divided by 9? |
|
|
|
