About this preparation
Math diagnostic test, Year 5: Decimals, Percentages, and Fractions. 11 questions with answers and explanations. Topics: Decimals, Percentages, Fractions. 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
Which decimal is equal to 3/10?
0.3
0.03
3.0
0.13
Explanation: 3/10 means three tenths, which is written as 0.3.
2
What is 0.75 written as a fraction in simplest form?
75/100
3/4
7/5
1/4
Explanation: 0.75 = 75/100, and simplifying gives 3/4.
3
What is 25% of 80?
10
20
25
40
Explanation: 25% means one quarter. One quarter of 80 is 20? Wait, 25% of 80 = 80 × 0.25 = 20.
4
Which fraction is equivalent to 0.5?
1/2
1/5
2/5
5/2
Explanation: 0.5 means one half, so the equivalent fraction is 1/2.
5
Which of the following are equal to 1/4?
0.25
25%
0.4
2/8
Explanation: 1/4 = 0.25 = 25% = 2/8.
6
Which decimal is greater?
0.6
0.56
0.506
0.05
Explanation: 0.6 is greater than 0.56, 0.506, and 0.05.
7
What is 3/5 as a percentage?
35%
50%
60%
75%
Explanation: 3/5 = 0.6, and 0.6 = 60%.
8
A notebook costs $12. What is the cost after a 10% discount?
$10.80
$11.00
$1.20
$12.10
Explanation: 10% of $12 is $1.20. Subtracting gives $10.80.
9
Which numbers are greater than 1?
5/4
1.2
3/5
0.9
Explanation: 5/4 = 1.25 and 1.2 are greater than 1; 3/5 and 0.9 are less than 1.
10
What is 0.2 + 0.35?
0.45
0.5
0.55
0.65
Explanation: Add the decimals: 0.20 + 0.35 = 0.55.
11
Which fraction is the same as 50%?
1/2
1/3
2/3
3/4
Explanation: 50% means 50 out of 100, which simplifies to 1/2.
