Need help with Level 5-6 Numbers - Long Multiplication and Division? Ask our AI Tutor!

AI Tutor - Lucy

Connecting with Tutor...

Please wait while we establish connection

Hi! I'm Lucy, your AI tutor. How can I help you with Level 5-6 Numbers - Long Multiplication and Division today?

now

Maths Quiz - Level 5-6 Numbers - Long Multiplication and Division (Questions)

Master long multiplication and division with neat steps. Break big problems into parts, estimate first, then check your answer.

Explore the Topic →

(quiz starts below)

Fascinating Fact:

Long division can test estimation, 975 ÷ 25 = 39, which means 25 goes into 975 thirty nine times exactly.

In KS3 Maths, you practise efficient written methods for multiplying and dividing larger numbers. Setting work out clearly and estimating first helps you spot mistakes and explain your reasoning.

Key Terms

Long multiplication: A step-by-step written method to multiply larger numbers accurately.
Long division: A written method that divides numbers by repeated subtraction in organised steps.
Estimation: A quick, sensible guess used to check if an answer is reasonable.

Frequently Asked Questions (Click to see answers)

How do I set out long multiplication?

Write numbers in columns with units lined up, multiply each digit, write partial products underneath, then add them to get the final answer.

What is an easy way to check a long division answer?

Multiply the quotient by the divisor and add any remainder. If it equals the original dividend, your division is correct.

Why should I estimate before using long methods?

Estimation gives a target size for the answer, helping you spot place-value slips or arithmetic errors quickly.

Try These Related Quizzes

1.

Mr Picasso buys 287 paintbrushes for his 41 art students. How many paintbrushes does each student get?

[ ]	4
[ ]	7
[ ]	9
[ ]	11

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

3.

What is 1,000 / 8?

[ ]	120
[ ]	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
[ ]	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
[ ]	9
[ ]	10
[ ]	11

6.

What is 1,445 / 17?

[ ]	80
[ ]	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
[ ]	161

8.

What is 234 x 87?

[ ]	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
[ ]	263,760

10.

What is the remainder when 550 is divided by 9?

[ ]	1
[ ]	2
[ ]	5
[ ]	7

You can find more about this topic by visiting BBC Bitesize - Operations - Calculations

Maths Quiz - Level 5-6 Numbers - Long Multiplication and Division (Answers)

1.

Mr Picasso buys 287 paintbrushes for his 41 art students. How many paintbrushes does each student get?

[ ]	4
[x]	7
[ ]	9
[ ]	11

7 x 41 = 287

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

Remember to check your answer by dividing it by 107 (to get 33) or 33 (to get 107)

3.

What is 1,000 / 8?

[ ]	120
[x]	125
[ ]	130
[ ]	135

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

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

63 boxes of 85 pens. The calculation is 63 x 85

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

1,000 / 120 is more than 8, therefore 9 sacks are needed

6.

What is 1,445 / 17?

[ ]	80
[x]	85
[ ]	90
[ ]	95

You can also multiply your answer by 17 to check it's correct. 85 x 17 = 1,445

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

483 / 3 = 161

8.

What is 234 x 87?

[x]	20,358
[ ]	20,538
[ ]	20,583
[ ]	20,835

4 x 7 = 28 so you know that the correct answer will end in 8

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

That's a lot of pages!

10.

What is the remainder when 550 is divided by 9?

[x]	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