Grade 6 : Mathematics (Ganita Prakash) - Fractions

Question 1

Which of the following fractions represents the simplest form of $\frac{48}{72}$?

Accepted Answer

B) $\frac{2}{3}$

Answer

A) $\frac{3}{4}$

Answer

C) $\frac{4}{6}$

Answer

D) $\frac{12}{18}$

Question 2

A recipe for fruit punch calls for $\frac{3}{8} ext{ litre}$ of orange juice and $\frac{1}{4} ext{ litre}$ of pineapple juice.

What is the total quantity of juice required for the recipe?

Accepted Answer

C) $\frac{5}{8}	ext{ litre}$

Answer

A) $\frac{4}{12}	ext{ litre}$

Answer

B) $\frac{1}{2}	ext{ litre}$

Answer

D) $\frac{7}{8}	ext{ litre}$

Question 3

Convert the mixed fraction $4\frac{3}{7}$ into an improper fraction.

Accepted Answer

A) $\frac{31}{7}$

Answer

B) $\frac{19}{7}$

Answer

C) $\frac{25}{7}$

Answer

D) $\frac{12}{7}$

Question 4

Assertion (A): The fraction $\frac{7}{11}$ is a proper fraction.
Reason (R): In a proper fraction, the numerator is always strictly less than the denominator.

Choose the correct option:

Accepted Answer

C) Both (A) and (R) are true, and (R) is the correct explanation of (A).

Answer

A) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Answer

B) (A) is true, but (R) is false.

Answer

D) (A) is false, but (R) is true.

Question 5

Which of the following pairs represents equivalent fractions?

Accepted Answer

B) $\frac{4}{7}$ and $\frac{20}{35}$

Answer

A) $\frac{5}{9}$ and $\frac{15}{24}$

Answer

C) $\frac{3}{8}$ and $\frac{9}{16}$

Answer

D) $\frac{2}{5}$ and $\frac{6}{20}$

Question 6

Rohan studies for $2\frac{1}{2} hours$ in the morning and $1\frac{3}{4} hours$ in the evening.

What is the total duration of Rohan's study time during the day?

Accepted Answer

D) $4\frac{1}{4} hours$

Answer

A) $3\frac{4}{6} hours$

Answer

B) $4\frac{1}{2} hours$

Answer

C) $3\frac{3}{4} hours$

Question 7

Which of the following inequalities is correct?

Accepted Answer

A) $\frac{5}{6} \gt \frac{7}{9}$

Answer

B) $\frac{3}{5} \gt \frac{2}{3}$

Answer

C) $\frac{4}{7} \lt \frac{8}{15}$

Answer

D) $\frac{1}{3} \gt \frac{3}{8}$

Question 8

What number should replace the question mark so that $\frac{5}{12} = \frac{35}{?}$?

Accepted Answer

C) 84

Answer

A) 60

Answer

B) 72

Answer

D) 96

Question 9

A wire of length $\frac{7}{8} ext{ metre}$ broke into two pieces. One piece is $\frac{1}{4} ext{ metre}$ long.

How long is the other piece?

Accepted Answer

B) $\frac{5}{8}	ext{ metre}$

Answer

A) $\frac{3}{8}	ext{ metre}$

Answer

C) $\frac{1}{2}	ext{ metre}$

Answer

D) $\frac{3}{4}	ext{ metre}$

Question 10

What fraction of an hour is 25 minutes?

Accepted Answer

D) $\frac{5}{12}$

Answer

A) $\frac{1}{4}$

Answer

B) $\frac{2}{5}$

Answer

C) $\frac{7}{12}$

Question 11

Evaluate the sum: $\frac{3}{10} + \frac{4}{15} + \frac{1}{6}$.

Accepted Answer

B) $\frac{11}{15}$

Answer

A) $\frac{7}{10}$

Answer

C) $\frac{23}{30}$

Answer

D) $\frac{4}{5}$

Question 12

Assertion (A): Between 0 and 1 on the number line, the fraction $\frac{3}{7}$ lies to the left of $\frac{5}{7}$.
Reason (R): For like fractions with equal denominators, the fraction with the smaller numerator is smaller.

Choose the correct option:

Accepted Answer

A) Both (A) and (R) are true, and (R) is the correct explanation of (A).

Answer

B) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Answer

C) (A) is true, but (R) is false.

Answer

D) (A) is false, but (R) is true.

Question 13

In a class of 40 students, $\frac{3}{5}$ of the students are girls.

How many boys are there in the class?

Accepted Answer

C) 16

Answer

A) 24

Answer

B) 12

Answer

D) 18

Question 14

Which of the following fractions is the greatest?

Accepted Answer

D) $\frac{9}{10}$

Answer

A) $\frac{3}{4}$

Answer

B) $\frac{5}{6}$

Answer

C) $\frac{7}{12}$

Question 15

Simplify: $5 - 2\frac{3}{8}$.

Accepted Answer

B) $2\frac{5}{8}$

Answer

A) $3\frac{3}{8}$

Answer

C) $2\frac{3}{8}$

Answer

D) $3\frac{5}{8}$

Question 16

Find the difference: $\frac{11}{14} - \frac{3}{7}$.

Accepted Answer

A) $\frac{5}{14}$

Answer

B) $\frac{4}{7}$

Answer

C) $\frac{8}{14}$

Answer

D) $\frac{1}{2}$

Question 17

Express the improper fraction $\frac{53}{6}$ as a mixed fraction.

Accepted Answer

D) $8\frac{5}{6}$

Answer

A) $9\frac{1}{6}$

Answer

B) $7\frac{5}{6}$

Answer

C) $8\frac{3}{6}$

Question 18

Priya read $\frac{2}{5}$ of a book on Saturday and $\frac{1}{3}$ of the same book on Sunday.

What fraction of the book is still left to be read?

Accepted Answer

C) $\frac{4}{15}$

Answer

A) $\frac{11}{15}$

Answer

B) $\frac{7}{15}$

Answer

D) $\frac{1}{15}$

Question 19

Which of the following sets of fractions is arranged in ascending order?

Accepted Answer

B) $\frac{1}{2}, \frac{2}{3}, \frac{5}{6}$

Answer

A) $\frac{5}{6}, \frac{2}{3}, \frac{1}{2}$

Answer

C) $\frac{2}{3}, \frac{1}{2}, \frac{5}{6}$

Answer

D) $\frac{1}{2}, \frac{5}{6}, \frac{2}{3}$

Question 20

What should be added to $3\frac{2}{5}$ to get 7?

Accepted Answer

A) $3\frac{3}{5}$

Answer

B) $4\frac{2}{5}$

Answer

C) $3\frac{1}{5}$

Answer

D) $4\frac{3}{5}$

Set 3Grade 6 : Mathematics (Ganita Prakash) - Fractions