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 algebra, 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 + 20 = 68, then 68 + 7 = 75.
2
What is 96 ÷ 8?
10
11
12
14
Explanation: 96 divided by 8 equals 12 because 8 × 12 = 96.
3
Which fraction is equivalent to 1/2?
2/3
3/6
4/5
5/8
Explanation: A fraction is equivalent to 1/2 if the numerator is half the denominator, such as 3/6.
4
What is 0.7 written as a fraction in simplest form?
7/10
7/100
70/10
1/7
Explanation: 0.7 means 7 tenths, which is 7/10.
5
A notebook costs $4. How much do 3 notebooks cost?
$7
$10
$12
$14
Explanation: Multiply the cost of one notebook by 3: 4 × 3 = 12.
6
Solve for x: x + 9 = 17
6
7
8
9
Explanation: Subtract 9 from both sides: x = 17 - 9 = 8.
7
What is 25% of 80?
10
15
20
25
Explanation: 25% means one quarter. One quarter of 80 is 20.
8
A rectangle has length 8 cm and width 5 cm. What is its perimeter?
13 cm
26 cm
40 cm
20 cm
Explanation: Perimeter = 2 × (length + width) = 2 × (8 + 5) = 26 cm.
9
Which number is the greatest?
0.6
5/8
0.58
3/5
Explanation: Convert to decimals: 0.6, 0.625, 0.58, and 0.6. The greatest is 5/8 = 0.625.
10
A class has 24 students. 3/8 of them are absent. How many students are absent?
6
8
9
12
Explanation: Find 3/8 of 24: 24 ÷ 8 = 3, and 3 × 3 = 9. Wait, check carefully: 3/8 of 24 = 9.
11
Which expression is equal to 4 × (6 + 2)?
4 × 6 + 2
4 × 6 + 4 × 2
6 + 2 + 4
4 + 6 + 2
Explanation: Use the distributive property: 4 × (6 + 2) = 4 × 6 + 4 × 2.
