Diagnostic

Grade 6 Math Diagnostic Test

TypeDiagnostic
GradeGrade 6
SubjectMath
Duration55 min
Questions11
Rating★ 5

About this preparation

Хочу зробити діагностичний тест з математики для учня 6 класу на 55 хвилин, середньої складності. Потрібно перевірити базові знання та вміння без додаткових уточнень.

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 4,305 + 2,678?
6,873
6,983
7,083
6,783
Explanation: Add the numbers carefully: 4,305 + 2,678 = 6,983.
2
What is 72 ÷ 8?
8
9
10
12
Explanation: 72 divided by 8 equals 9.
3
Which fraction is equivalent to 3/4?
6/8
3/8
4/6
9/16
Explanation: Multiply the numerator and denominator by the same number: 3/4 = 6/8.
4
What is 2.5 + 1.7?
3.2
4.0
4.2
3.8
Explanation: Add the decimals: 2.5 + 1.7 = 4.2? Wait carefully: 2.5 + 1.7 = 4.2.
5
A notebook costs $12. What is the cost of 3 notebooks?
$15
$24
$36
$48
Explanation: Multiply the cost of one notebook by 3: 12 × 3 = 36.
6
What is 25% of 80?
10
15
20
25
Explanation: 25% means one quarter. One quarter of 80 is 20.
7
A triangle has angles 50°, 60°, and one unknown angle. What is the unknown angle?
60°
70°
80°
90°
Explanation: The angles in a triangle add to 180°. 180 - 50 - 60 = 70.
8
What is the value of x in the equation x + 9 = 14?
3
4
5
6
Explanation: Subtract 9 from both sides: x = 14 - 9 = 5.
9
Which number is greatest?
0.9
0.09
0.19
0.99
Explanation: Compare the decimals by place value. 0.99 is the greatest.
10
A rectangle has length 8 cm and width 5 cm. What is its area?
13 cm²
26 cm²
40 cm²
45 cm²
Explanation: Area of a rectangle = length × width = 8 × 5 = 40 cm².
11
Which expression is equal to 6 × (4 + 2)?
6 × 4 + 2
6 × 4 + 6 × 2
6 + 4 + 2
6 × 4 - 2
Explanation: Use the distributive property: 6 × (4 + 2) = 6 × 4 + 6 × 2.

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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.