About this preparation
Math diagnostic test, Grade 6: Whole numbers and operations. 11 questions with answers and explanations. Topics: Whole numbers and operations, Fractions and decimals, Ratios and percentages, Basic geometry, Simple equations. 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 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.
