Word Problems: Parts and Wholes | Mathematics for Class 5: NCERT PDF Download

Q1: The tallest basketball player in the school’s basketball team is 6 feet tall. Jacob’s height is 11/12th the height of the tallest basketball player. What is Jacob’s height?
Sol: Height of tallest player = 6 feet
Jacob's height = 11/12 of height of tallest player= 6 ×  
=  
= Jacob’s height is 5 1/2 feet.

Q2: Thomas rents a car for his vacation. The mileage included with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay  If he drives 69 miles, how much extra does he need to pay?
Sol: Thomas has to pay extra if he drives over 54 miles.
He drove 69 miles.
So 69-54 are the extra miles.
Now, he needs to pay
(69 − 54) ×  
= 27
Thomas needs to pay $27 extra. 

Q3: The cost of 1 kg apple is 120 rupees and 1 kg orange is 80 rupees. Find the cost of ¾ kg apple and 1 ½ kg oranges.
Sol:
Cost of 1 kg apple = 120 rupees
Cost of 1 kg orange = 80 rupees
Cost of ¾ kg apple = ¾ of 120 = ¾ x 120 = 360/4
= 90 rupees
Cost of ½ kg oranges = ½ x 80 = 80/2
= 40 rupees
Cost of 1 ½ kg oranges = 80 + 40
= 120 rupees

Q4: There are 27 oranges in a basket. Kiran was given 4/9 of a basket of oranges. What number of oranges was left in the basket?
Sol: Total number of oranges = 27
The number of oranges given to Kiran = 4/9 x 27
= 12
Oranges left in the basket = 27 -12
= 15
Q5: Manju had 12 chocolates. She gave one-fourth of it to Raji, one-third to Sujatha and one-sixth to Sheela. She ate the remaining part. How many chocolate did each get?
Sol: Total number of chocolates = 12
Each one will get the following number of chocolates:
Raji – ¼ of 12 = ¼ x 12 = 12/4 = 3
Sujatha – 1/3 of 12 = 1/3 x 12 = 12/3 = 4
Sheela – 1/6 of 12 = 1/6 x 12 = 12/6 =2
Manju – remaining 3 chocolates.

Q6: Maya had 200 rupees with her. She spent ½ of it to buy chocolates, ¼ of it to buy a book and with the rest she bought a pouch. Find the amount she paid for
(a) Chocolates
(b) Book
(c) Pouch
Sol:
(a) Amount paid for chocolates = ½ of 200 = 100 rupees
(b) Amount paid for book = ¼ of 200 = 50 rupees
(c) Amount paid for pouch = ¼ of 200 = 50 rupees

Q7: Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1 15 of his suitcase. If he has two suitcases, how much room is left for his own belongings in his suitcases?

Sol:  
of his suitcase is left for his own belongings.

Q8: Manu had 20 rupees with him. He spent 16.50 rupees for buying snacks. He got the balance amount in 1 rupee and ½ rupee coins. What are the coins he got?
Sol: The amount Manu had = 20 rupees
Amount he spend = 16.50 rupees
Remaining amount = 20 – 16.50 = 3.50 rupees
So he will get 3 one rupee coins and 1 half rupee coin.

Q9: Sonu has 10 toffees with him. He gave 2/5 of it to his sister. How many toffees are remaining with him?
Sol: Total number of toffees = 10
Toffees given to his sister = 2/5 of 10
= 2/5 x 10
= 20/5
= 4 toffees
Toffees remaining with him = 10 -4 = 6 toffees

Q10: Sohan bought a dozen mangoes. ¼ of these mangoes are ripe. How many mangoes are ripe?
Sol: Number of mangoes that are ripe = ¼ of 12 = ¼ x 12 = 12/4 = 3 mangoes.