Rational Numbers(7th Grade > Mathematics ) Questions and answers for exam Preparation

7th Grade > Mathematics

RATIONAL NUMBERS MCQs

Total Questions : 120 | Page 3 of 12 pages

Question 21. Find the sum of the rational numbers

\frac{- 7}{19} a n d \frac{- 2}{57} .

−2157
−2357
−2247
−3247

Discuss Question

Answer: Option B. -> −2357
:
B

\frac{- 7}{19} + \frac{- 2}{57} = \frac{(- 7 \times 3)}{(19 \times 3)} + \frac{- 2}{57}

= \frac{- 21}{57} + \frac{- 2}{57} = \frac{- 23}{57}

Question 22.

\frac{4}{13} > 0

. True or False?

True
False
−2247
−3247

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Answer: Option A. -> True
:
A
Any positive number is greater than 0.

Question 23. Find the value of

- \frac{16}{3} \div - \frac{4}{3} .

Discuss Question

Answer: Option C. -> 4
:
C

- \frac{16}{3} \div - \frac{4}{3} = - \frac{16}{3} \times - \frac{3}{4} = 4

Question 24.

\frac{10}{2}

in simplest form is ___
___

Discuss Question

\frac{10}{2} = \frac{2 \times 5}{2}

= 5

Question 25. What should be added to

\frac{- 3}{8} to get \frac{5}{16} ?

1216
1316
1116
1416

Discuss Question

Answer: Option C. -> 1116
:
C
Let the number to be added be x.

\frac{- 3}{8} + x = \frac{5}{16}

x = \frac{5}{16} + \frac{3}{8} = \frac{5}{16} + \frac{6}{16} = \frac{11}{16}

Question 26.

\frac{- 4}{3} \geq \frac{24}{36}

True
False
−2247
−3247

Discuss Question

Answer: Option B. -> False
:
B
A negative number cannot be greater than a positive number.
so,

\frac{- 4}{3} < \frac{24}{36}

Question 27. In the given fig. locate the position where the ball lies on the number line.

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Answer: Option C. -> 35
:
C
The space between 0 and 1 is divided into 10 equal parts. The ball lies in sixth place.
Therefore, the location ball lies in is,

\frac{6}{10} = \frac{3}{5}

Question 28.
(a) In the figure given below, normally in two jumps frog covers the distance of 9m. One day on seeing the snake frog jumped

\frac{1}{5}

times more than his normal jump and again he jumped with full strength and covered

\frac{1}{2}

times more distance than he normally covers in the second jump. Find the distance covered by frog in the second jump and in total.

(a) In The Figure Given Below, Normally In Two Jumps Frog Co...

(b) Are the statements below correct?
(i) The rational numbers

\frac{- 21}{5}

and

\frac{7}{- 31}

are on the opposite sides of 0 on the number line.
(ii) The rational number

\frac{- 3}{- 5}

is on the right of

\frac{- 4}{7}

on the number line.
[4 MARKS]

Discuss Question

:
Each part: 2 Marks
(a) In normal jump frog covers 5m in first jump but this time his jump covered

= 5 + (5 \times \frac{1}{5}) = 6 m

In the second jump it covered

= 4 + (4 \times \frac{1}{2}) = 6 m

.
So, distance covered in second jump = 6m.
Total distance covered by frog = 6m + 6m = 12m
(b) (i) The statement is false as

\frac{- 21}{5}

and

\frac{7}{- 31}

both are negative numbers and lie to the left side of 0 on the number line i.e. they are at the same side to that of 0 which is left.
(ii) This statement is true as the number

\frac{- 3}{- 5}

is actually positive

\frac{3}{5}

and

\frac{- 4}{7}

is negative. Therefore,

\frac{3}{5}

is is on the right of

\frac{- 4}{7}

on the number line.

Question 29. Find out the numbers of rational number skipped by the frog. [1 MARK]

Discuss Question

:
There areinfinite rationalnumbersbetween two pointshence we cannot practically calculate the number of rational numbers skipped by the frog.

Question 30. (a) In a number line, there are eight points.They are lying on number line such that US = SR = RT and AP = PQ = QB. Find the rational numbers represented by P, Q, R, S.

(b) Ashley recently opened a store that sells only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighbourhood. It takes one person 2 minutes to prepare one bag.
How many hours will it take to prepare 900 bags of samples if Ashley and 5 of her friends do the work?
[4 MARKS]

Discuss Question

:
Each part:2 Marks
(a) As given in the question AP = PQ = QB =