Multiplication and division - don't you just love them? Especially long multiplication and long division! Well, whether you like them or not, they play an important part in KS3 Maths so it's best that you understand them.
To do long multiplication we work out the 10s, 100s and 1,000s separately. So, to calculate 154 x 23 first multiply 154 x 3. Then work out 154 x 2 and put a 0 on the end. Finally, line up your two answers and add the top figures to the bottom ones. You should have 462 and 3,080 which total 3,542.
Long division works in a similar way. To calculate 3,542 ÷ 23 first of all work out 35 ÷ 23 = 1 remainder 12. Any remainders become the first digits in the next number to divide. So, next we divide 124 (the 4 is the 3rd digit in 3,542) by 23 and get 5 remainder 9. Finally we divide 92 (the remainder with the 2 from 3,542) by 23 to get 4. So, our answer is 154.
Hopefully all that made sense! Now try some long division and multiplication yourself!
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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? |
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| [ ] |
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? |
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| [ ] |
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.
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What is the remainder when 550 is divided by 9? |
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|
|
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? |
|
|
|
