About this preparation
Math diagnostic test, Year 6: Place value, Addition and subtraction. 10 questions with answers and explanations. Topics: Place value, Addition and subtraction, Multiplication and division, Factors and multiples, Fractions, Decimals, Percentages, Order of operations. 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 the value of the digit 7 in 47,382?
7
70
700
7,000
Explanation: The digit 7 is in the thousands place, so its value is 7,000.
2
What is 3,475 + 2,689?
6,054
6,164
5,164
6,264
Explanation: Add the numbers carefully: 3,475 + 2,689 = 6,164.
3
What is 8,000 - 3,756?
4,244
4,254
5,244
4,344
Explanation: Subtracting 3,756 from 8,000 gives 4,244.
4
What is 36 × 7?
232
242
252
272
Explanation: 36 × 7 = 252? Check carefully: 7 × 30 = 210 and 7 × 6 = 42, so the total is 252.
5
What is 144 ÷ 12?
10
11
12
14
Explanation: 144 divided by 12 equals 12.
6
Which of these numbers are factors of 24?
3
5
6
8
Explanation: A factor divides 24 exactly. 3, 6, and 8 all divide 24 without a remainder.
7
What is 3/4 of 20?
10
12
15
18
Explanation: First find 1/4 of 20, which is 5. Then 3/4 of 20 is 3 × 5 = 12.
8
What is 4.5 + 2.37?
6.72
6.82
7.72
6.27
Explanation: Line up the decimal points: 4.50 + 2.37 = 6.87? Recheck carefully: 4.50 + 2.37 = 6.87.
9
What is 15% of 80?
8
10
12
15
Explanation: 10% of 80 is 8, and 5% is 4, so 15% is 12.
10
What is 6 + 3 × 8?
72
30
24
30
Explanation: Use order of operations: multiply first, then add. 3 × 8 = 24, and 6 + 24 = 30.
