Everyday Mathematics: Fractions | Mathematics Olympiad for Class 3 PDF Download

Q1. What is the denominator in the fraction 3/4?

(a) 3
(b) 4
(c) 7
(d) 1

Ans: (b) 4

The denominator is the number below the line in a fraction. 
In 3/4, the denominator is 4, showing the whole is divided into 4 equal parts.

Q2. A cake is cut into 4 equal pieces, and 1 piece is taken. What fraction is taken?

(a) 1/2
(b) 1/3
(c) 1/4
(d) 2/4

Ans: (c) 1/4

Dividing a cake into 4 equal parts means each piece is one-fourth, or 1/4. 
Taking 1 piece is 1/4 of the cake.

Q3. If you have 5 balloons and 1 is red, what fraction of the balloons are red?

(a) 1/5
(b) 2/5
(c) 1/4
(d) 3/5

Ans: (a) 1/5

 Out of 5 balloons, 1 is red. The fraction is 1 out of 5, written as 1/5.

Q4. What does 1/3 mean when sharing a sandwich?

(a) 1 part out of 2 equal parts
(b) 1 part out of 3 equal parts
(c) 2 parts out of 3 equal parts
(d) 3 parts out of 3 equal parts

Ans: (b) 1 part out of 3 equal parts

1/3 means the sandwich is divided into 3 equal parts, and 1 part is taken, as explained in the notes under "Thirds."

Q5. A ribbon is cut into 3 equal parts, and 2 parts are used. What fraction of the ribbon is used?

(a) 1/3
(b) 2/3
(c) 3/3
(d) 1/2

Ans: (b) 2/3

 The ribbon is divided into 3 equal parts, and 2 are used. The fraction is 2 out of 3, or 2/3.

Q6. In a group of 4 friends, 3 bring pencils. What fraction of the friends brought pencils?

(a) 1/4
(b) 2/4
(c) 3/4
(d) 4/4

Ans: (c) 3/4

Out of 4 friends, 3 brought pencils. The fraction is 3 out of 4, or 3/4.

Q7. You have 10 marbles and give 1/5 to a friend. How many marbles did you give?

(a) 1
(b) 2
(c) 3
(d) 5

Ans: (b) 2

To find 1/5 of 10, divide 10 by 5: 10 ÷ 5 = 2. You gave 2 marbles.

Q8. A garden has 8 flowers, and 3/4 are roses. How many flowers are roses?

(a) 4
(b) 5
(c) 6
(d) 8

Ans: (c) 6

 To find 3/4 of 8, divide 8 into 4 parts (8 ÷ 4 = 2), then take 3 parts: 3 × 2 = 6. So, 6 flowers are roses.

Q9. A pizza is cut into 6 equal slices. If you take 2 slices and your friend takes 1 slice, what fraction of the pizza is left?

(a) 1/6
(b) 2/6
(c) 3/6
(d) 4/6

Ans: (c) 3/6

Total slices = 6. You take 2, and your friend takes 1, so 2 + 1 = 3 slices are taken. Fraction taken = 3/6. Fraction left = 6/6 - 3/6 = 3/6.

Q10. A number line from 0 to 1 is divided into 5 equal parts. What fraction is at the fourth mark?

(a) 2/5
(b) 3/5
(c) 4/5
(d) 5/5

Ans: (c) 4/5

Dividing 0 to 1 into 5 parts means each part is 1/5. The fourth mark is 4 parts, or 4/5.