1.
How many quarters of the circle should be shaded to show 1/4?
Correct Answer
A. 1
Explanation
1/4 is used to represent 1 out of the 4 quarters is shaded.
2.
How many quarters of the circle should be shaded to show 3/4?
Correct Answer
C. 3
Explanation
3/4 is used to represent 3 out of the 4 quarters are shaded.
3.
How many quarters of the circle should be shaded to show 1/2?
Correct Answer
B. 2
Explanation
1/2 is the simplest form of the 2 out of the 4 quarters shaded
4.
How many more quarters of the circle should be shaded to show 3/4?
Correct Answer
B. 2
Explanation
One of the quarters is already shaded. Thus to shade 3/4, 2 more quarters are needed.
5.
The circle below is divided equally into 12 parts. How many parts should be shaded to show 7/12 ?
Correct Answer
B. 7
Explanation
To show 7/12, 7 of the 12 parts should be shaded.
6.
The circle below is divided equally into 12 parts.
How many parts should be shaded to show 5/6?
Correct Answer
C. 10
Explanation
5/6 is the simplest form of the 10 out of the 12 parts shaded.
7.
The circle below is divided equally into 12 parts.
What is the fraction of the shaded parts?(in simplest form)
Correct Answer
D. 1/6
Explanation
1/6 is the simplest form of the 2 out of the 12 parts shaded.
8.
The circle below is divided equally into 12 parts.
How many more parts should be shaded to show 1/2 of the circle is shaded?
Correct Answer
B. 2
Explanation
1/2 is the simplest form of 6 of the 12 parts shaded.
There are already 4 parts shaded.
Therefore, 6 parts - 4 parts = 2 parts
9.
The figure is made of identical triangles.
How many triangles should be shaded to show 7/8?
Correct Answer
C. 14
Explanation
7/8 is the simplest form of 14 of the 16 triangles shaded.
10.
The figure is made of identical triangles.
How many triangles should be shaded to show 3/4?
Correct Answer
C. 12
Explanation
3/4 is the simplest form of 12 of the 16 triangles shaded.
11.
How many eighths make a whole?
Correct Answer
D. 8
Explanation
8/8 = 1
12.
Refer to the diagram, what is the remaining number of eighths to to make 1 whole?
Correct Answer
D. 6
Explanation
1/4 = 2/8
1 = 8/8
8/8 = 2/8 + 6 /8
13.
Express 9/12 in its simplest form.
Correct Answer
C. 3/4
Explanation
To express a fraction in its simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. In this case, the GCD of 9 and 12 is 3. Dividing both 9 and 12 by 3 gives us 3/4, which is the simplest form of the fraction 9/12.
14.
Which of the following set of fractions is arranged in ascending order (smallest to greatest)?
Correct Answer
C. 1/4, 1/3, 1/2
Explanation
the smaller the denominator, the greater is the fraction size.
15.
Which of the following set of fractions is arranged in descending order (greatest to smallest)?
Correct Answer
B. 6/8, 1/2, 1/4
Explanation
Express all fractions to be in the same denominator.
1/2 = 4/8
1/4 = 2/8
Therefore,
6/8, 1/2, 1/4
6/8' 4/8, 2/8
16.
Tom bought a pizza for Jane and Wendy. Jane ate 3/4 of the pizza while Wendy ate 1/12 of it. a) What is the fraction of the ate by the two girls?(in simplest form)b) What fraction of the pizza was left?(in simplest form)
Correct Answer
B. A) 5/6 b) 1/6
Explanation
Step 1 . Add 3/4 and 1/12. Ans:10/12 , convert to simplest form to 5/6
Step 2. Minus 5/6 from 1 whole. Ans: 6/6 - 5/6 = 1/6
17.
John has 8 stamps. Mary has 4 times as many stamps as John.What is the fraction of John's stamps to the total number of stamps the two children have? (In simplest form)
Correct Answer
A. 1/5
Explanation
Step 1 : 8 X 4 = 32
Step 2 : 32 + 8 = 40
Step 3 : 8 / 40 = 1/5
18.
Melvin, Sarah, Linda and Alan were given a bar of chocolate of the same size each. Here is what they ate: Melvin ate 1/2 of his bar chocolate ; Sarah ate 5/8 of her bar chocolate ; Linda ate 3/4 of her bar chocolate ; Alan ate 9/16 of his bar chocolate. Who ate the most?
Correct Answer
C. Linda
Explanation
Express all fractions to have the same denominator
1/2 = 8/16
5/8 = 10/16
3/4 = 12/16
9/ 16
Sarah ate the most
19.
Find the sum of 1/3 and 1/6. Leave answer in simplest form.
Correct Answer
C. 1/2
Explanation
Express both fractions to have same denominator
1/3 = 2/6
2/6 + 1/6 = 3/6 = 1/2
20.
Find the difference between 7/8 and 3/16.
Correct Answer
C. 11/16
Explanation
Express both fractions to be in same denominator before subtraction
Step 1: 7/8 = 14/16
14/16 - 3/16 = 11/16
21.
There are 40 pupils in a class. 24 of them are girls. What fraction of the class is boys?Give your answer in simplest form.
Correct Answer
D. 2/5
Explanation
40 - 24 = 16
16/40 = 2/5
22.
What is the missing fraction?
Correct Answer
B. 9/16
Explanation
1 whole = 16 /16
16 /16 - 7 /16 = 9/16
23.
What is the missing fraction?( in simplest form)
Correct Answer
C. 1/4
Explanation
1 whole is 12/12
12/12 - 9/12 = 3/12 = 1/4
24.
What is the missing fraction?( in simplest form)
Correct Answer
C. 2/7
Explanation
1 whole is 14/14
14/14 - 10/14 = 4/14 = 2/7