About this preparation
Math diagnostic test, Grade 5: Place value and number operations. 11 questions with answers and explanations. Topics: Place value and number operations, Fractions, Decimals, Measurement and word problems, Patterns and reasoning. Duration: 25 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 the number 47,382?
7
70
700
7,000
Explanation: The digit 7 is in the hundreds place, so its value is 700.
2
Which number is greatest?
4,905
4,950
4,590
4,509
Explanation: Comparing place values shows that 4,950 is the greatest number.
3
What is 368 + 457?
715
825
815
835
Explanation: 368 + 457 = 825.
4
What is 900 - 476?
434
424
414
524
Explanation: 900 - 476 = 424.
5
Which fraction is equivalent to 1/2?
2/3
3/6
2/5
4/10
Explanation: 3/6 simplifies to 1/2.
6
What is 3/4 of 20?
10
12
15
18
Explanation: 1/4 of 20 is 5, so 3/4 of 20 is 15.
7
A pencil costs $0.75. How much do 4 pencils cost?
$2.50
$3.00
$3.25
$4.00
Explanation: 4 × 0.75 = 3.00.
8
Which decimal is equal to 5 and 3 tenths?
5.03
5.3
5.30
53.0
Explanation: 3 tenths means 0.3, so the number is 5.3.
9
A rectangle has a length of 9 cm and a width of 4 cm. What is its perimeter?
13 cm
18 cm
26 cm
36 cm
Explanation: Perimeter = 2 × (9 + 4) = 26 cm.
10
A number pattern starts 6, 11, 16, 21, __. What is the next number?
24
25
26
27
Explanation: The pattern adds 5 each time, so the next number is 25.
11
Which of the following are even numbers?
48
57
62
75
Explanation: Even numbers are divisible by 2. 48 and 62 are even.
