# Free Playing with Numbers 02 Practice Test - 4th Grade

A and B travel from home to school and back once a day. How much more distance does B travel from Monday to Friday?

A.

20 km

B.

10 km

C.

2 km

D.

1 km

#### SOLUTION

Solution : B

Monday to Friday = 5 days

Distance travelled by A in 1 day

Distance travelled by B in 1 day

Total distance travelled by A in 5 days
= 2×5=10 km

Total distance travelled by B in 5 days
= 4×5=20 km

So, B travels (2010) km = 10 km more than A from Monday to Friday.

Long division is the only way to check if a number is divisible by another number.

A.

True

B.

False

#### SOLUTION

Solution : B

Long division method is not the only way to check if a number is divisible by another number. One can use Divisibility Rules also to check divisibility.

How do we check if 87 is divisible by 3?

A.

Check if the units place is odd or even.

B.

Check if the units place is 3, 6 or 9.

C.

Check if the sum of the digits is 9.

D.

Check if the sum of digits is divisible by 3.

#### SOLUTION

Solution : D

A number is divisible by 3 if the sum of its digits is divisible by 3.

Sum of the digits of 87 = 8+7=15

15 is divisible by 3.

Hence, 87 is also divisible by 3.

5763 is completely divisible by which of the given options:

A.

3

B.

4

C.

6

D.

9

#### SOLUTION

Solution : A

A number is divisible by 3 if the sum of its digits is divisible by 3.

In 5763 sum of the digits is = 5+7+6+3=21, which is exactly divisible by 3.

So, 5763 is divisible by 3.

A number is divisible by 4 if its last two digits are divisible by 4. The last two digits in 5763 are 63 which is not divisible by 4.

Hence 5763 is not divisible by 4

5763 is not divisible by 6, as it is an odd number. To be divisible by 6, the number should be divisible by both 3 and 2. Only even numbers are divisible by 2.

A number is divisible by 9 if the sum of its digits is divisible by 9.

In 5763 sum of the digits is = 5+7+6+3=21, which is not divisible by 9.

So, 5763 is not divisible by 9.

Hence 5763 is divisible by 3.

State True or False:
If 52 is divisible by 4, then 56 is also divisible by 4.

A.

True

B.

False

#### SOLUTION

Solution : A

If 52 is divisible by 4, the next 4th number from 52 should also be divisible by 4.

52+4=56

Hence, 56 is also divisible by 4.

Alternate method

If the last two digits of a number are divisible by 4, then the entire number is divisible by 4.

e.g In 52 last 2 digits are 52 which is divisible by 4.

52÷4=13 with remainder 0.

Similarly, In 56 last 2 digits are 56 which is divisible by 4.

56÷4=14 with remainder 0.

3 friends ordered 2 pizzas of 6 slices each and ate equal amounts. How many slices did each person eat?

A.

3 slices

B.

4 slices

C.

2 slices

D.

6 slices

#### SOLUTION

Solution : B

Total number of pizzas = 2

Number of slices in each pizza = 6

Total number of slices in both the pizzas = 2×6=12

Number of friends = 3

Hence, each friend gets 12÷3=4 slices.

Identify the quotient and remainder respectively, when 28 is divided by 3.

A.

7 and 2

B.

8 and 1

C.

8 and 2

D.

9 and 1

#### SOLUTION

Solution : D

Quotient = 9

Remainder = 1

1011 + 1011 + 1011…..  (9times)=?

A.

9909

B.

9990

C.

9099

D.

9999

#### SOLUTION

Solution : C

1011 is repeatedly added 9 times = 1011 X 9

1011X    9––––   9099–––––

1011 × 9 = 9099

Find the value.

37+5=?

A.

42

B.

45

C.

312

D.

375

#### SOLUTION

Solution : A

1     3   7 +  0   5 ––––––     4   2

Solve it

9718+3833=?

A.

13441

B.

12551

C.

13551

D.

12431

#### SOLUTION

Solution : C

1    1      9 7 1 8+  3 8 3 3 ––––––    1 3 5 5 1