Diagnostic

Diagnostic Math Test for Grade 6

TypeDiagnostic
GradeGrade 6
SubjectMath
Duration55 min
Questions10
Rating★ 5

About this preparation

Хочу зробити діагностичний тест з математики для учня Beren Isiksalan, 6 клас, на 55 хвилин, середньої складності.

Jonathan Meeson
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 48 + 27?
65
75
85
95
Explanation: Add the tens and ones: 48 + 27 = 75.
2
What is 6 × 14?
68
72
84
96
Explanation: 6 × 14 = 6 × (10 + 4) = 60 + 24 = 84.
3
Which fraction is equivalent to 1/2?
2/3
3/6
4/5
5/8
Explanation: 3/6 simplifies to 1/2 by dividing the numerator and denominator by 3.
4
What is 3/4 + 1/4?
1/2
1
2/4
4/8
Explanation: The denominators are the same, so add the numerators: 3/4 + 1/4 = 4/4 = 1.
5
What is 0.7 + 0.25?
0.32
0.95
0.75
1.02
Explanation: Line up the decimal points: 0.70 + 0.25 = 0.95.
6
A notebook costs $8. What is the cost of 3 notebooks?
$11
$21
$24
$32
Explanation: Multiply the cost of one notebook by 3: 8 × 3 = 24.
7
What is 20% of 50?
5
10
15
20
Explanation: 20% means 20 out of 100. So 20% of 50 = 0.2 × 50 = 10.
8
Evaluate the expression 5 + 3 × 4.
32
17
23
27
Explanation: Use order of operations: multiply first, then add. 3 × 4 = 12, and 5 + 12 = 17.
9
A rectangle has length 9 cm and width 4 cm. What is its perimeter?
13 cm
18 cm
26 cm
36 cm
Explanation: Perimeter = 2 × (length + width) = 2 × (9 + 4) = 26 cm.
10
Which number is greater?
0.6
0.56
0.65
0.506
Explanation: Compare the decimals by place value: 0.65 is greater than 0.6, 0.56, and 0.506.

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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.