About this preparation
Math diagnostic test, Year 3: Division as sharing equally. 10 questions with answers and explanations. Topics: Division as sharing equally, Division as grouping, Related multiplication facts, Simple division facts, Word problems involving division. Duration: 55 min.
Diagnostic tasks
Below is the full list of tasks with correct answers and explanations. In a lesson the tutor can hide the answers and reveal them after the student tries.
1
What is 12 ÷ 3?
3
4
5
6
Explanation: 12 shared equally into 3 groups gives 4 in each group.
2
Which multiplication fact helps you solve 15 ÷ 5?
5 × 3 = 15
5 × 5 = 25
3 × 5 = 8
15 × 5 = 20
Explanation: Division and multiplication are related. Since 5 × 3 = 15, then 15 ÷ 5 = 3.
3
There are 18 apples shared equally among 6 children. How many apples does each child get?
2
3
4
6
Explanation: 18 ÷ 6 = 3, so each child gets 3 apples.
4
How many groups of 4 are in 20?
4
5
6
8
Explanation: 20 can be split into 5 groups of 4 because 5 × 4 = 20.
5
Which of these division facts are correct?
16 ÷ 2 = 8
16 ÷ 4 = 4
16 ÷ 8 = 3
16 ÷ 1 = 16
Explanation: 16 ÷ 2 = 8, 16 ÷ 4 = 4, and 16 ÷ 1 = 16 are correct.
6
A teacher has 24 pencils and puts them into 6 equal boxes. How many pencils go in each box?
3
4
5
6
Explanation: 24 ÷ 6 = 4, so each box gets 4 pencils.
7
What is 21 ÷ 7?
2
3
4
7
Explanation: 21 shared into 7 equal groups gives 3 in each group.
8
Which numbers make these division sentences true?
30 ÷ 5 = 6
30 ÷ 6 = 5
30 ÷ 10 = 4
30 ÷ 3 = 10
Explanation: 30 ÷ 5 = 6, 30 ÷ 6 = 5, and 30 ÷ 3 = 10 are correct.
9
Which equation matches this story? '18 cookies are shared equally among 3 friends.'
18 + 3 = 21
18 ÷ 3 = 6
18 - 3 = 15
3 ÷ 18 = 6
Explanation: Sharing 18 cookies equally among 3 friends means divide 18 by 3.
10
If 28 stars are arranged into 7 equal rows, how many stars are in each row?
3
4
5
7
Explanation: 28 ÷ 7 = 4, so each row has 4 stars.
