Fractions quiz

Which of the following is a proper fraction?

The mixed fraction 3 and 2/5 as an improper fraction is:

Which fraction is equivalent to 3/5?

The simplest form of 45/60 is:

Which is the greatest?

Which is the smallest?

1/4 + 1/2 equals:

5/6 - 1/3 equals:

What fraction of an hour is 40 minutes?

Which of the following are like fractions?

Write the fraction representing the shaded part if 3 out of 8 equal parts of a figure are shaded. What fraction is unshaded? (2 marks)

Convert into mixed fractions: (i) 23/6 (ii) 41/9. (2 marks)

Find the equivalent fraction of 3/7 with (i) denominator 28 (ii) numerator 18. (2 marks)

What fraction of a day is 8 hours? Write it in simplest form. (2 marks)

Check whether 5/9 and 30/54 are equivalent. (2 marks)

Arpit has 20 pens, of which 12 are blue. What fraction of his pens are blue? Express in simplest form. (2 marks)

Find 3/4 of 24 and 2/5 of 35. (2 marks)

Compare 5/8 and 7/12 by converting them into like fractions. (2 marks)

Find the sum of 3 and 1/4 and 2 and 1/2. (2 marks)

Naina was given 1 and 1/2 pieces of cake and Najma was given 1 and 1/3 pieces. Who got more cake and by how much? (2 marks)

Simplify: (i) 2/5 + 3/10 + 1/2 (ii) 7/8 - 1/4 - 1/2 (iii) 1 and 1/2 + 2 and 3/4 - 1 and 1/4. (3 marks)

Arrange in descending order: 2/3, 5/6, 7/12, 3/4. Show the working by converting to like fractions. (3 marks)

A rectangular sheet of paper is 12 and 1/2 cm long and 10 and 2/3 cm wide. Find its perimeter. (3 marks)

Ramesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After four months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Show that each used the same fraction. (3 marks)

Asha reads 1/5 of a book on Monday and 3/10 of the book on Tuesday. (i) What fraction has she read in two days? (ii) What fraction remains? (iii) If the book has 240 pages, how many pages remain? (3 marks)

Read the passage and answer the questions. A water tank was 3/4 full in the morning. During the day, 1/3 of the full tank was used for cooking and washing. In the evening, the motor was switched on and 1/6 of the full tank was refilled. (i) What fraction of the tank was full after the use during the day? (ii) What fraction was full after refilling in the evening? (iii) If the tank holds 1200 litres, how many litres were in it in the evening? (5 marks)

Read the passage and answer the questions. In a class of 40 students, 3/8 come to school by bus, 1/4 come by bicycle, and the rest walk to school. (i) How many students come by bus and how many by bicycle? (ii) What fraction of students walk to school? (iii) How many students walk? (5 marks)

Read the passage and answer the questions. Kavita spends 1/3 of her pocket money on books, 1/4 on food and 1/6 on travel. She saves the rest. Her monthly pocket money is Rs 600. (i) What fraction of her pocket money does she spend in all? (ii) What fraction does she save? (iii) How much money does she save each month? (5 marks)

Read the passage and answer the questions. A farmer has a field. He plants wheat in 2/5 of the field, rice in 1/3 of the field and vegetables in the remaining part. (i) What fraction of the field is used for wheat and rice together? (ii) What fraction is used for vegetables? (iii) Which crop covers the largest part of the field? (5 marks)

Read the passage and answer the questions. Aman ran 2 and 1/4 rounds of a park in the morning and 1 and 2/3 rounds in the evening. His friend Vikas ran 4 rounds in a day. (i) How many rounds did Aman run in the day? (ii) Who ran more and by how much? (iii) Write Aman's total as an improper fraction. (5 marks)

Draw a number line from 0 to 3 divided into quarters. Mark 1/4, 3/4, 5/4, 7/4 and 11/4. Classify each as proper or improper, write the improper ones as mixed fractions, and explain why every improper fraction lies to the right of 1 on the number line. (6 marks)

Using rectangle diagrams, show that 2/3 = 4/6 = 8/12. Explain how equivalent fractions are formed by multiplication and division. Find the missing numbers: 5/6 = 10/? = ?/30 = 35/?. (6 marks)

Explain the method of comparing unlike fractions using LCM with an example. Compare and arrange in ascending order: 5/6, 2/9, 7/12, 3/4. Draw fraction strips for 1/2 and 3/4 to support the comparison of these two fractions. (6 marks)

Draw a circle divided into 8 equal parts. Shade 3/8 in one colour and 1/4 in another colour. Use the figure to find the sum of 3/8 and 1/4, and the fraction that is unshaded. Then find 7/8 - 3/8 and 3/4 - 1/8. (6 marks)

A rope of length 10 m is cut into three pieces. The first piece is 3 and 1/2 m long and the second is 2 and 3/4 m long. (i) Find the length of the third piece. (ii) Which piece is the longest? (iii) Draw a bar diagram showing the three pieces. (iv) What fraction of the whole rope is the first piece? (6 marks)