About this preparation
Math diagnostic test, Year 3: Multiplication and Division. 10 questions with answers and explanations. Topics: Multiplication facts, Division as sharing and grouping, Related multiplication and division facts, Word problems, Missing number equations. 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 4 × 3?
7
12
15
18
Explanation: 4 groups of 3 make 12.
2
What is 18 ÷ 3?
5
6
7
9
Explanation: 18 shared into 3 equal groups gives 6 in each group.
3
Which multiplication fact matches 5 × 6?
6 + 6 + 6 + 6 + 6
5 + 5 + 5 + 5 + 5 + 5
6 + 5
5 + 6 + 5
Explanation: 5 × 6 means 5 groups of 6, which is repeated addition of 6 five times.
4
What is 24 ÷ 4?
4
5
6
8
Explanation: 24 split into 4 equal groups gives 6 in each group.
5
A teacher puts 3 pencils in each pack. How many pencils are in 7 packs?
10
18
21
24
Explanation: 7 packs with 3 pencils in each pack means 7 × 3 = 21.
6
Which number makes the equation true? 6 × __ = 30
4
5
6
7
Explanation: 6 × 5 = 30.
7
Which division fact is related to 8 × 4 = 32?
32 ÷ 4 = 8
32 ÷ 8 = 4
8 ÷ 4 = 32
4 ÷ 32 = 8
Explanation: If 8 × 4 = 32, then 32 ÷ 4 = 8 and 32 ÷ 8 = 4 are related facts.
8
There are 20 apples shared equally among 5 children. How many apples does each child get?
3
4
5
6
Explanation: 20 ÷ 5 = 4, so each child gets 4 apples.
9
What is 9 × 2?
11
18
20
27
Explanation: 9 groups of 2 make 18.
10
A box holds 4 crayons. How many crayons are in 6 boxes?
10
20
24
28
Explanation: 6 boxes with 4 crayons in each box means 6 × 4 = 24.
