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Year 2 Calculation - Division (Mental Methods)
If 8 slices of pizza are shared between 4 people they get 2 slices each.

Year 2 Calculation - Division (Mental Methods)

Divide in your head using sharing, grouping, and facts. Build arrays, use number lines, and check answers by reversing with multiplication.

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Fascinating Fact:

Ten-frame groups: Put 12 counters. Make rows of 3. You get 4 rows, so 12 ÷ 3 = 4.

In KS1 Maths, Year 2 pupils use mental methods for division by sharing and grouping. Arrays and number lines show equal groups, and every division can be checked with the matching multiplication.

  • Grouping: Making equal groups to see how many fit, e.g. 12 ÷ 3 = 4 means four groups of 3.
  • Sharing: Splitting equally between people or sets, e.g. 10 apples shared between 5 is 10 ÷ 5 = 2.
  • Array: Rows and columns that show facts like 3 × 4 = 12 and 12 ÷ 3 = 4.

Warm up with quick sharing and grouping: try the Division Game before you start the quiz.

What are mental methods for division in Year 2?

They include sharing equally, grouping into equal sets, using arrays, and using known times-table facts to work out answers quickly.

How do arrays help with division?

Arrays show equal rows and columns. If 3 rows make 12 altogether, each row has 4, so 12 ÷ 3 = 4.

How can I check a division answer?

Use the inverse. If 20 ÷ 5 = 4, then 4 × 5 should make 20. If it does, your division is correct.

Question 1
4 friends share 8 slices of pizza. How many slices will they each get?
2, because 8 ÷ 4 = 2
4, because 8 ÷ 2 = 4
8, because 8 ÷ 1 = 8
1, because 8 ÷ 8 = 1
If you know that 4 x 2 = 8, then you could work out that 8 ÷ 4 = 2
Question 2
Division is the same as...
finding the total
repeated subtraction
multiplying
adding up over and over again
6 ÷ 3 gives the same answer as taking 3 away from 6 until none remain
Question 3
If I share 6 sweets equally into 3 bags, how many will be in each bag?
6 x 2 = 3
3 ÷ 2 = 6
6 ÷ 3 = 2
2 ÷ 3 = 6
If we divide the 6 sweets equally, there will be 2 sweets in each bag
Question 4
Which two division calculations could apply to the number 8?
8 ÷ 4 = 2 and 8 ÷ 2 = 4
6 ÷ 3 = 2 and 6 ÷ 2 = 3
10 ÷ 2 = 5 and 10 ÷ 5 = 2
12 ÷ 6 = 2 and 12 ÷ 2 = 6
If we divide 8 tomatoes into 2 groups, there would be 4 in each group. If we divided them into 4 groups, there would be 2 in each group
Question 5
What is 12 divided by 6?
12 ÷ 6 = 2
12 ÷ 6 = 18
12 ÷ 6 = 72
12 ÷ 6 = 4
We could also say that 12 ÷ 2 = 6
Question 6
If you know that 5 x 2 = 10 and 2 x 5 = 10, what other facts do you know?
10 x 5 = 2 and 2 ÷ 5 = 10
2 ÷ 5 = 10 and 5 ÷ 2 = 10
2 x 10 = 5 and 5 x 10 = 2
10 ÷ 5 = 2 and 10 ÷ 2 = 5
The division facts always have the largest number at the beginning
Question 7
I know that 6 x 3 = 18. Which fact is the odd one out?
3 x 6 = 18
18 ÷ 6 = 3
18 ÷ 3 = 6
18 ÷ 9 = 2
The division and multiplication facts form a 'family' of four - two division and two multiplication
Question 8
Which multiplication fact could help you work out 20 ÷ 5?
5 x 2 = 10
20 x 5 = 100
5 x 20 = 4
5 x 4 = 20
Knowing the multiplication tables well will help you to work out the division facts
Question 9
Which division fact is incorrect?
14 ÷ 7 = 2
16 ÷ 2 = 8
20 ÷ 10 = 2
10 ÷ 3 = 7
The others are all related to the 2 times table
Question 10
If I divided 9 photographs into piles of 3, how many piles could I make?
9, because 9 ÷ 1 = 9
3, because 9 ÷ 3 = 3
1, because 9 ÷ 9 = 1
27, because 9 x 3 = 27
If you know that 3 x 3 = 9, it could help you work out that 9 ÷ 3 = 3
You can find more about this topic by visiting BBC Bitesize - Multiplying and dividing

Author:  Angela Smith (Primary School Teacher & KS1 Quiz Writer)

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