About this preparation
Math diagnostic test, Year 5: Addition and subtraction. 11 questions with answers and explanations. Topics: Addition and subtraction, Multiplication and division, Place value, Fractions, Decimals, Word problems. 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 4,508 + 2,679?
7,087
7,177
7,287
6,187
Explanation: Add the thousands, hundreds, tens, and ones carefully: 4,508 + 2,679 = 7,187? Wait, check again: 8+9=17, carry 1; 0+7+1=8; 5+6=11, carry 1; 4+2+1=7, so the total is 7,187.
2
What is 9,000 - 3,764?
5,236
5,336
6,236
5,126
Explanation: Subtract step by step: 9,000 - 3,764 = 5,236.
3
What is 36 × 7?
242
252
262
272
Explanation: Use multiplication facts: 36 × 7 = 252.
4
What is 144 ÷ 12?
10
11
12
13
Explanation: Since 12 × 12 = 144, the quotient is 12.
5
Which fraction is equivalent to 1/2?
2/3
3/6
2/5
4/10
Explanation: A fraction is equivalent if it has the same value. 3/6 simplifies to 1/2.
6
What is 0.7 + 0.2?
0.9
0.8
0.10
1.9
Explanation: Add the tenths: 7 tenths + 2 tenths = 9 tenths, so the answer is 0.9.
7
Which of these numbers are multiples of 6?
18
20
24
30
36
Explanation: A multiple of 6 is divisible by 6 with no remainder. 18, 24, and 36 are multiples of 6.
8
A shop sells pencils in packs of 8. How many pencils are in 5 packs?
35
40
45
48
Explanation: Multiply the number in each pack by the number of packs: 8 × 5 = 40.
9
What is 3/4 of 20?
10
12
15
18
Explanation: Find one quarter of 20, which is 5, then multiply by 3: 5 × 3 = 15.
10
Which number is greatest?
4,902
4,920
4,209
4,290
Explanation: Compare the numbers digit by digit. 4,920 is the greatest.
11
Which statements are true?
7 × 8 = 56
56 ÷ 7 = 8
8 × 7 = 54
56 ÷ 8 = 7
Explanation: Check each fact using the same multiplication and division family: 7 × 8 = 56, 56 ÷ 7 = 8, and 56 ÷ 8 = 7.
