Diagnostic

Math Diagnostic Test for 5th Grade

TypeDiagnostic
GradeGrade 5
SubjectMath
Duration55 min
Questions11
Rating★ 5

About this preparation

I want to create a diagnostic test in math for Ethan Mossman, 5th grade, for 55 minutes, at medium difficulty.

Reid Rachel
Preparation author

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.

Want the same result for your child?

We'll match a tutor to your child's age, level and goals. A first trial lesson — to get to know each other and build a plan.

Frequently asked questions

A diagnostic helps the tutor see the child's real level in 30–40 minutes: which topics are mastered and where the gaps are. Based on the result, the teacher builds an individual plan instead of working blind.

Yes, you can view all tasks and answers on this page. But the diagnostic is most useful in a lesson with a tutor who explains mistakes right away and adjusts the plan.

Roughly 30–40 minutes depending on the number of tasks and the child's pace. It is a full first lesson.