Diagnostic

Grade 7 Mathematics Diagnostic Test

TypeDiagnostic
GradeGrade 7
SubjectMath
Duration55 min
Questions10
Rating★ 5

About this preparation

Хочу зробити діагностичний тест з математики для учня Edie Piggott, 7 клас, на 55 хвилин, середньої складності.

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 -7 + 12?
-19
5
-5
19
Explanation: Adding 12 to -7 moves 12 units to the right on the number line, giving 5.
2
Which fraction is equivalent to 3/4?
6/8
3/8
9/16
12/20
Explanation: Multiply the numerator and denominator by the same number: 3/4 = 6/8.
3
Convert 0.35 to a percent.
3.5%
35%
350%
0.35%
Explanation: To convert a decimal to a percent, multiply by 100. 0.35 = 35%.
4
A recipe uses 2 cups of flour for every 3 cups of sugar. What is the ratio of flour to sugar?
3:2
2:3
2:5
5:2
Explanation: The ratio is written in the same order as the quantities given: flour to sugar = 2:3.
5
Solve for x: 4x = 28
x = 6
x = 7
x = 8
x = 24
Explanation: Divide both sides by 4: x = 28 ÷ 4 = 7.
6
Evaluate the expression 3(5 - 2) + 4.
9
13
19
25
Explanation: First evaluate the parentheses: 5 - 2 = 3. Then 3 × 3 + 4 = 13.
7
A rectangle has length 9 cm and width 4 cm. What is its area?
13 cm²
18 cm²
36 cm²
42 cm²
Explanation: Area of a rectangle = length × width = 9 × 4 = 36 cm².
8
The data set is 2, 4, 4, 6, 8. What is the median?
4
5
6
8
Explanation: The numbers are already in order, and the middle value is 4.
9
Which number is greater than -3?
-5
-4
-2
-7
Explanation: On the number line, numbers closer to zero are greater among negatives. -2 is greater than -3.
10
A shirt costs $20 and is discounted by 25%. What is the sale price?
$5
$10
$15
$25
Explanation: 25% of 20 is 5, so the sale price is 20 - 5 = 15.

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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.