WORD PROBLEMS INVOLVING OPERATIONS OF WHOLE NUMBERS WORKSHEET 

Problem 1 :

What number must be increased by 374 to get 832?

Problem 2 :

What number must be decreased by 674 to get 3705?

Problem 3 :

Mount Cook in New Zealand is 3765 m above sea level, whereas Mount Manaslu in Nepal is 8163 m high. How much higher is Mount Manaslu than Mount Cook.

Problem 4 :

I planted 400 rows of cabbages and each row contained 250 plants. How many cabbages were planted altogether?

Problem 5 :

Each room of a motel cost $78 per day to rent. The motel has 6 floors and 37 rooms per floor. What is the total rental received per day if the motel is fully occupied?

Problem 6 :

How many 38-seat buses are needed to transport 646 students to the athletics stadium?

Problem 7 :

A class contains 14 boys and 15 girls. If each student is given 13 pencils, how many pencils are given out altogether?

Problem 8 :

If a baker sells 24 dozen rolls at 15 cents each, how much money does he receive?

Problem 9 :

25 less four times of a whole number is equal to 55. Find the whole number.

Problem 10 :

12 more than seven times of a whole number is equal to 6 less than nine times of it. Find the whole number.

Problem 11 :

The sum of two whole numbers is 20 and that of the difference is 4. Find the two whole numbers.

Problem 12 :

Find the smallest and largest three-digit whole numbers which are divisible by 8.

Answers

1. Answer :

Let x be the required number.

x + 374 = 832

x = 832 - 374

x = 458

2. Answer :

Let x be the required number.

x - 674 = 3705

x = 3705 + 674

x = 4379

3. Answer :

Height of Mount Cook in New Zealand = 3765 m

Height of Mount Manaslu in Nepal = 8163 m

Difference = 8163 - 3765

  = 4398

So, Mount Manaslu is 4398 m higher than Mount Cook.

4. Answer :

Number of cabbages in first row = 250.

Number of cabbages in first two rows altogether :

= 250 + 250 or 2(250)

= 500

Number of cabbages in first three rows altogether :

= 250 + 250 + 250 or 3(250) 

= 750

So, number of cabbages in 400 rows : 

= 250(400)

= 100,000

5. Answer :

Number of floors in the motel = 6

Number of rooms per motel :

= 6(37)

= 222

Rent for each room per day = $78

Total rent received per day :

= 222($78)

= $17,316

6. Answer :

Number of seats in one bus = 38

Total number of students = 646

Number of buses are needed to transport all students to stadium :

= ⁶⁴⁶⁄₃₈

= 17

7. Answer :

Number of boys = 14

Number of girls = 15

Total number of students :

= 14 + 15

= 29

Number of pencils given for each student = 13

Total number of pencils are given out :

= 13(29)

= 377

8. Answer :

1 dozen = 12

Number of rolls :

= 24(12)

= 288

Cost of 1 roll = $0.15

Total cost money received by the baker :

= 288($0.15)

= $43.2

9. Answer :

Let x be the required whole number.

4x - 25 = 55

4x = 80

x = 20

10. Answer :

Let x be the required whole number.

7x + 12 = 9x - 6

18 = 2x

9 = x

11. Answer :

Let x and y be the two whole number such that x > y.

x + y = 20 ----(1)

x - y = 4 ----(2)

(1) + (2) :

2x = 24

x = 12

Substitute x = 12 into (1).

12 + y = 20

y = 8

The two whole numbers are 12 and 8.

12. Answer :

Steps to find the smallest three-digit whole number divisible by 8 :

Step 1 :

The smallest three-digit whole number is 100. Divide 100 by 8 and get the quotient and remainder.

When 100 is divided by 8, the quotient is 12 and the remainder is 4.

Step 2 :

Subtract the remainder 4 from the divisor 8.

= 8 - 4

= 4

Step 3 :

Add 4 to the dividend 100.

= 100 + 4

= 104

104 is the smallest three-digit number divisible by 8.

Steps to find the largest three-digit whole number divisible by 8 :

Step 1 :

The largest three-digit whole number is 999. Divide 999 by 8 and get the quotient and remainder.

When 999 is divided by 8, the quotient is 124 and the remainder is 7.

Step 2 :

Subtract the remainder 7 from the dividend 999.

= 999 - 7

= 992

992 is the largest three-digit number divisible by 8.

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