## MATH PRACTICE QUIZ FOR GRADE 4

Problem 1 :

Divide 7 by 1/5

(A) 85               (B) 38              (C) 35

Solution :

=  7 by 1/5

=  7/(1/5)

=  7⋅5

=  35

Problem 2:

Simplify 5/6 ÷ (15/18   6/9)

(A) 1/2               (B) 3/2           (C) 1/5

Solution :

5/6 ÷ (15/18   6/9)

=  5/6  ÷ (5/9)

=  (5/6) ⋅ (9/5)

=  3/2

Problem 3 :

1/3 of the population of a village are the farmers. If the number of others is 1120, find the total population of the village.

(A) 1530               (B) 1680          (C) 1245

Solution :

Let x be the total population

1/3 of x  =  Number of farmers

Number of farmer + other  =  Total population

1/3 of x + 1120  =  x

x/3 + 1120  =  x

x-x/3  =  1120

2x/3  =  1120

x  =  1120(3/2)

x  =  1680

So, the total population is 1680.

Problem 4 :

Convert 40% into decimal fraction.

(A) 0.25              (B) 0.04                (C) 0.1

Solution :

40%  =  40/100

=  0.04

Problem 5 :

12% of the books in a public library are mathematics books. If there are 92,000 books in the library, determine the number of mathematics books.

(A) 11040               (B) 12000               (C) 15400

Solution :

Number of English books in the library is

=  12% of the total books

=  0.12 ⋅ 92000

=  11040

So,the number of English books in the library is 11040.

Problem 6 :

The present age of a father is 42 and the age of his son is 6. What is the ratio of the father's age to the son's age?

(A) 7:5              (B) 7:1            (C) 2:1

Solution :

Age of father  =  42

Age of his son  =  6

Required ratio is 42 : 6

=  7 : 1

So, the required ratio is 7 : 1

Problem 7 :

10 boys are in the school cub group. Their ages are

8, 9, 8, 10, 9, 10, 9, 9, 8, 10.

What is the average age of the group ?

(A) 9              (B) 2            (C) 13

Solution :

8 is repeating 3 times.

9 is repeating 4 times.

10 is repeating 3 times.

Average  =  Sum of numbers / Total number of items

=  [3(8) + 4(9) + 3(10)] / 10

=  (24+36+30)/10

=  90/10

=  9

Problem 8 :

A train covers 20 km in 6 hours. How much time will it take to cover 360 km ?

(A) 1064 km               (B)  1056 km           (C) 1836 km

Solution :

Distance covered  =  399 km, Time taken  =  6 hours

Time  =  Distance / Speed

Speed =  399/6

Distance covered in 16 hours  =  Time ⋅ Speed

=  16 ⋅ (399/6)

=  1064

Problem 9 :

Find the number of days from August 15 to October 2 of the same year.

(A) 48               (B) 32           (C) 18

Solution :

August  =  15 days

September  =  31

October  =  2

Total number of days  =  15 + 31 + 2

=  48 days

So, the total number is days is 48 days.

Problem 10 :

Change 3 weeks 3 days and 12 hours into hours.

(A) 125 hours         (B) 588 hours       (C) 250 hours

Solution :

1 week  =  7 days

1 day  =  24 hours

3 week  =  21 days

Total number of days  =  21 + 3

=  24 days

Number of hours  =  24 (24)  ==>  576

576 + 12  =  588 hours

So, the required number of hours is 588.

1. 35

2. 3/2

3. 1680

4. 0.4

5. 11040

6. 7:1

7. 9

8. 3 hours

9. 48

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