# Free Fractions 02 Practice Test - 6th grade

### Question 1

1017+997=

1987

1997

2007

2017

#### SOLUTION

Solution :C

1017 and 997 are like fractions as they have the same denominator.

Hence, we can directly add the numerators keeping the denominator as it is.

∴1017+997=101+997=2007

### Question 2

State whether True or False - When you divide a whole into parts, the result is a proper fraction.

True

False

#### SOLUTION

Solution :A

A proper fraction is a number that represents part of a whole.

### Question 3

If a train consists of 24 compartments of equal length (including the engine car), then the length of one compartment is 124 of the full length of the train

True

False

#### SOLUTION

Solution :A

Let us take the full length of the train as L.

24 compartments---------------L

1 compartment--------------= 124×L

### Question 4

Improper fraction is defined as the fraction whose numerator is

#### SOLUTION

Solution :When numerator of a fraction is greater than its denominator, it is known as the improper fraction.

### Question 5

If 97 and a63 are equivalent fractions, what is the value of a ?

#### SOLUTION

Solution :If 97 and a63 are equivalent fractions,then 9 x 63 = a x 7.

Solving, we get a = 81.

### Question 6

Between 58 and 118, how many fractions lie on the number line?

5

6

7

Infinite

#### SOLUTION

Solution :D

There are infinite fractions on a number line. The two fractions given in the question are two points on the number line. Between these two points, there exists infinite points. So, infinite fractions exist between two points on a number line.

### Question 7

If you subtract 1553 from 1732, you will get

156

167

176

186

#### SOLUTION

Solution :A

Let us first convert the mixed fractions 1553 and 1732 to improper fractions.

i.e., 1553=15×3+53=503 and 1732=17×2+33=372

Now, 1732−1553=372−503=111−1006=116=156

### Question 8

Find which of the following are the pairs of like fractions:

1. 4560 and 4590

2. 157 and 957

3. 117 and 99937

4. 32 and 23

1, 2 and 3

2 and 3

1 and 3

2, 3 and 4

#### SOLUTION

Solution :B

For like fractions, the denominators should be the same.

### Question 9

In a 5 km marathon, Manish ran 2 km. If Kushagra ran 12 of the total distance of the marathon, who ran more?

Kushagra

Manish

Both covered the same distance

Insufficient data

#### SOLUTION

Solution :A

Total distance to be covered = 5 km

Distance covered by Manish = 2 km

⇒ Fraction of the distance covered by Manish = 25Fraction of the distance covered by Kushagra =12

To compare these fractions, we write them as like fractions.

25=2×25×2=410

12=1×52×5=510

Since 410<510,

25<12

Therefore, Kushagra ran more.

### Question 10

There are 40 animals in a zoo out of which 10 animals have been recently transferred from another zoo. What is the fraction of animals that were already present at the zoo?

14

24

34

44

#### SOLUTION

Solution :C

Old animals = 40 - 10 = 30

Fraction of old animals presently in the zoo = 3040=34