About this preparation
Math diagnostic test, Year 5: Arithmetic Skills. 11 questions with answers and explanations. Topics: Addition and subtraction, Multiplication and division, Order of operations, 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 348 + 267?
505
615
625
515
Explanation: Add hundreds, tens, and ones: 300 + 200 = 500, 40 + 60 = 100, 8 + 7 = 15. Total = 615.
2
What is 900 - 475?
425
435
525
415
Explanation: Subtract step by step: 900 - 400 = 500, then 500 - 75 = 425.
3
What is 7 × 8?
54
56
64
48
Explanation: Seven groups of eight equals 56.
4
What is 72 ÷ 9?
7
8
9
6
Explanation: 72 split into 9 equal groups gives 8 in each group.
5
What is 6 + 4 × 3?
30
18
24
18
Explanation: Use order of operations: multiply first, 4 × 3 = 12, then 6 + 12 = 18.
6
Which of the following are equal to 1/2?
2/4
3/6
4/8
1/4
Explanation: Fractions that simplify to one-half are equivalent to 1/2.
7
What is 3.5 + 1.2?
4.7
5.7
4.2
3.7
Explanation: Add the decimals: 3.5 + 1.2 = 4.7.
8
A notebook costs 45 cents. How much do 4 notebooks cost?
$1.80
$1.60
$2.00
$1.45
Explanation: Multiply 45 cents by 4: 45 × 4 = 180 cents = $1.80.
9
What is 125 + 75 - 50?
150
200
100
175
Explanation: First add 125 + 75 = 200, then subtract 50 to get 150.
10
Which statements are true?
10 × 6 = 60
81 ÷ 9 = 8
14 + 9 = 23
5 × 5 = 20
Explanation: Check each fact carefully: 10 × 6 and 14 + 9 are true.
11
A class has 24 students. If they are split into 6 equal groups, how many students are in each group?
3
4
5
6
Explanation: Divide 24 by 6 to get 4 students in each group.
