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Division Quiz

Grade 1 • 1D • 10 Questions (27 Marks)

Score: 0 / 10
Division — Notes & Worked Examples Show / Hide

Explanation:

Use the short division (“bus stop”) method to divide by a whole number. Work from left to right, dividing each digit by the divisor and carrying any remainder onto the next digit. If there is a remainder at the end, add a decimal point and trailing zeros (.00) to continue dividing.

When dividing by a decimal, never put a decimal outside the bus stop. Write the division as a fraction and multiply both numbers by 10, 100, or 1000 until the divisor is a whole number, then divide as normal.

Example 1: Work out 4536 ÷ 7

Solution:

Set up the bus stop: 7 ) 4 45 33 56
• 7 into 4 = 0 remainder 4 (carry 4 to make 45)
• 7 into 45 = 6 remainder 3 (carry 3 to make 33)
• 7 into 33 = 4 remainder 5 (carry 5 to make 56)
• 7 into 56 = 8 remainder 0
Answer: 648

Example 2: Work out 14.4 ÷ 0.06

Solution:

Write as a fraction and multiply top & bottom by 100:
14.40.06 × 100100 = 14406
Now divide 1440 by 6 using the bus stop:
• 14 ÷ 6 = 2 r 2;  24 ÷ 6 = 4;  0 ÷ 6 = 0
Answer: 240
Question 1
[1 mark]
Jacqui wants to work out 3480 ÷ 5
She knows that 3480 ÷ 10 = 348
Jacqui writes 3480 ÷ 5 = 174
because 10 ÷ 5 = 2
and 348 ÷ 2 = 174
What mistake did Jacqui make in her method?
Worked Solution & Answer
Dividing by 5 gives twice as much as dividing by 10, so 348 × 2 = 696 C1
Answer: She should have multiplied 348 by 2 instead of dividing by 2
Question 2 OCR Jun 2023 5H Q3
[2 marks]
Work out.
3.8 ÷ 0.02
Worked Solution & Answer
3.8 ÷ 0.02 = 380 ÷ 2 = 190. M1 A1
Answer: 190
Question 3 OCR Jun 2024 5H Q1
[2 marks]
Work out.
1.2 ÷ 0.03
Worked Solution & Answer
1.2 ÷ 0.03 = 120 ÷ 3 = 40. M1 A1
Answer: 40
Question 4
[3 marks]
A machine fills bags with sweets.
There are 4275 sweets.
There are 28 sweets in each full bag.
The machine fills as many bags as possible.
How many sweets are left?
Worked Solution & Answer
4275 ÷ 28 = 152.678... → 152 full bags M1
152 × 28 = 4256 sweets M1
4275 – 4256 = 19 sweets left A1
Answer: 19
Question 5
[3 marks]
Corina has £300 to spend on books.
Each book costs £4.85
Work out the greatest number of books Corina can buy.
Worked Solution & Answer
300 ÷ 4.85 = 61.855... M2
⇒ 61 books A1
Answer: 61
Question 6
[3 marks]
Work out 8.46 ÷ 0.15
Worked Solution & Answer
8.46 ÷ 0.15 = 846 ÷ 15 = 282 ÷ 5 = 56.4 M2 A1
Answer: 56.4
Question 8
[3 marks]
There are 30 children in a nursery school.
At least 1 adult is needed for every 8 children in the nursery.
(a) Work out the least number of adults needed in the nursery. [2 marks]
(b) Does this mean that more adults are needed in the nursery?
You must give a reason for your answer.
[1 mark]
Worked Solution & Answer
(a)
30 ÷ 8 = 3.75 → 4 adults M1 A1
Answer (a): 4
(b)
30 + 2 = 32 and 32 ÷ 8 = 4 adults C1
Answer (b): No, because 4 adults can look after up to 32 children (4 × 8 = 32)
Question 9
[3 marks]
A shop sells jars of coffee.
Each jar of coffee costs £4
Michael has £23
(a) Work out the greatest number of jars of coffee Michael can buy. [2 marks]
(b) Is Michael correct?
You must give a reason for your answer.
[1 mark]
Worked Solution & Answer
(a)
23 ÷ 4 = 5 r 3 → 5 jars M1 A1
Answer (a): 5
(b)
At £2 per jar, 23 ÷ 2 = 11.5 → 11 jars (not 10) C1
Answer (b): No, he can buy 11 jars (23 ÷ 2 = 11.5), which is more than twice 5
Question 10 AQA Jun 2024 1F Q14
[4 marks]
Here is a multiplication table.
×61636567613721384339654087633843396940954221653965409542254355674087422143554489
Use the table to answer the following questions.
(a) Work out 3843 ÷ 63 [1 mark]
Answer
(b) Work out 6.1 × 6.7 [1 mark]
Answer
(c) Work out 63 × 66 [2 marks]
Answer
Worked Solution & Answer
(a)
From table, 61 × 63 = 3843, so 3843 ÷ 63 = 61 B1
Answer (a): Answer 61
(b)
61 × 67 = 4087 ⇒ 6.1 × 6.7 = 40.87 B1
Answer (b): Answer 40.87
(c)
63 × 66 = 63 × 65 + 63 = 4095 + 63 = 4158 M1 A1
Answer (c): Answer 4158
Score: 0 / 10 (0 / 27 marks)
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