About this preparation
Math diagnostic test, Grade 5: Place value and number sense. 11 questions with answers and explanations. Topics: Place value and number sense, Addition and subtraction, Multiplication and division, Fractions, Measurement and geometry. 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 the number 47,382?
7
70
700
7,000
Explanation: The digit 7 is in the thousands place, so its value is 7,000.
2
Which number is greatest?
5,408
5,480
5,840
5,084
Explanation: Compare the numbers place by place. 5,840 is actually greater than 5,480, so the correct answer is 5,840.
3
What is 4,786 + 2,459?
7,145
7,235
7,245
6,245
Explanation: Add by place value: 4,786 + 2,459 = 7,245.
4
What is 8,000 - 3,475?
4,525
4,625
5,425
5,525
Explanation: Subtracting 3,475 from 8,000 gives 4,525.
5
What is 36 × 7?
232
242
252
262
Explanation: 36 × 7 = 252.
6
What is 144 ÷ 12?
10
11
12
13
Explanation: Since 12 × 12 = 144, 144 ÷ 12 = 12.
7
Which fraction is equivalent to 1/2?
2/3
3/6
4/10
5/8
Explanation: 3/6 simplifies to 1/2.
8
Which fraction is larger?
3/8
5/8
3/10
5/10
Explanation: With the same denominator, the fraction with the larger numerator is greater.
9
A rectangle has a length of 9 cm and a width of 4 cm. What is its area?
13 cm²
18 cm²
36 cm²
40 cm²
Explanation: Area = length × width = 9 × 4 = 36 cm².
10
What is the perimeter of a square with side length 6 m?
12 m
18 m
24 m
36 m
Explanation: Perimeter of a square = 4 × side. So 4 × 6 = 24 m.
11
A bag has 3 red marbles, 5 blue marbles, and 2 green marbles. How many marbles are in the bag altogether?
9
10
11
12
Explanation: Add the marbles: 3 + 5 + 2 = 10.
