About this preparation
Math diagnostic test, Grade 6: Whole numbers and operations. 10 questions with answers and explanations. Topics: Whole numbers and operations, Fractions and decimals, Ratios and percentages, Expressions and equations, Geometry and measurement. 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 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.
