About this preparation
Math diagnostic test, Year 4: Addition and subtraction. 10 questions with answers and explanations. Topics: Addition and subtraction, Multiplication and division, Place value, Word problems, Order of operations, Rounding and estimation. 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 4,582 + 1,769?
6,241
6,351
6,451
5,351
Explanation: Add the numbers by place value: 4,582 + 1,769 = 6,351.
2
What is 7,000 - 2,458?
4,542
4,552
4,542
5,542
Explanation: Subtract carefully across place values: 7,000 - 2,458 = 4,542.
3
What is 8 × 7?
54
56
64
48
Explanation: 8 groups of 7 equals 56.
4
What is 63 ÷ 9?
6
7
8
9
Explanation: 63 split into 9 equal groups gives 7 in each group.
5
Which number has 6 hundreds, 3 tens, and 9 ones?
639
693
963
603
Explanation: 6 hundreds = 600, 3 tens = 30, and 9 ones = 9. The number is 639.
6
Estimate 398 + 201 by rounding each number to the nearest hundred.
500
600
700
800
Explanation: 398 rounds to 400 and 201 rounds to 200. 400 + 200 = 600.
7
A shop has 6 boxes with 4 pencils in each box. How many pencils are there altogether?
10
20
24
28
Explanation: Multiply the number of boxes by the pencils in each box: 6 × 4 = 24.
8
What is the value of 5 in the number 5,274?
5
50
500
5,000
Explanation: The digit 5 is in the hundreds place, so its value is 500.
9
What is 36 + 18 ÷ 3?
18
42
54
12
Explanation: Do division first: 18 ÷ 3 = 6. Then add: 36 + 6 = 42.
10
Which equation is correct?
72 ÷ 8 = 8
72 ÷ 8 = 9
72 ÷ 8 = 10
72 ÷ 8 = 7
Explanation: Since 8 × 9 = 72, the quotient is 9, so the correct equation is 72 ÷ 8 = 9. However, the listed correct option should match the true equation; revise to the correct choice.
