RBSE Class 7 Maths Important Questions Chapter 2 Fractions and Decimals

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 2 Fractions and Decimals Important Questions and Answers.

RBSE Class 7 Maths Chapter 2 Important Questions Fractions and Decimals

Multiple Choice Questions

Question 1.
\(\frac{2}{5}\) × 5\(\frac{1}{5}\) is equal to:
(a) \(\frac{26}{25}\)
(b) \(\frac{52}{25}\)
(c) \(\frac{2}{5}\)
(d) 6
Answer:
(b) \(\frac{52}{25}\)

Question 2.
A ribbon of length 5\(\frac{1}{4}\) m is cut into small pieces, each of length \(\frac{3}{4}\)m. Number of pieces will be:
(a) 5
(b) 6
(c) 7
(d) 8
Answer:
(c) 7

Question 3.
Reciprocal of the fraction \(\frac{2}{3}\) is:
(a) 2
(b) 3
(c) \(\frac{2}{3}\)
(d) \(\frac{3}{2}\)
Answer:
(d) \(\frac{3}{2}\)

Question 4.
The product of 0.03 × 0.9 is:
(a) 2.7
(b) 0.27
(c) 0.027
(d) 0.0027
Answer:
(c) 0.027

Question 5.
One packet of biscuits requires 2\(\frac{1}{2}\) cups of flour and 1\(\frac{2}{3}\) cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be:
(a) less than 30 cups
(b) between 30 cu and 40 cups
(c) above 40 cups
(d) above 50 cups
Answer:
(c) above 40 cups

Question 6.
\(\frac{4}{5}\) of 5 kg apples were used on Monday. The next day \(\frac{1}{3}\) of what was left was used. Weight (in kg) of apples left now is:
(a) \(\frac{2}{7}\)
(b) \(\frac{1}{14}\)
(c) \(\frac{2}{3}\)
(d) \(\frac{4}{21}\)
Answer:
(c) \(\frac{2}{3}\)

Question 7.

(a) \(\frac{1}{4}\) ÷ 3
(b) 3 × \(\frac{1}{4}\)
(c) \(\frac{4}{3}\) × 3
(d) 3 ÷ \(\frac{4}{3}\)
Answer:
(b) 3 × \(\frac{1}{4}\)

Fill in the Blanks

Question 1.
Rani ate \(\frac{2}{7}\) part of a cake while her brother Ravi ate \(\frac{4}{5}\) of the remaining. Part of the cake left is ___________ .
Answer:
\(\frac{1}{7}\)

Question 2.
The reciprocal of \(\frac{3}{7}\) is __________ .
Answer:
\(\frac{7}{3}\)

Question 3.
\(\frac{4}{5}\) ÷ 4 is equal to __________ .
Answer:
\(\frac{1}{5}\)

Question 4.
3.2 × 10 = ___________ .
Answer:
32

Question 5.
The product of two proper fractions is ___________ than each of the fractions that are multiplied.
Answer:
less

Question 6.
52.7 ÷ __________ = 0.527.
Answer:
100

State Weather True or False

Question 1.
The reciprocal of an improper fraction is an improper fraction.
Answer:
False

Question 2.
The product of two improper fractions is less than both the fractions.
Answer:
False

Question 3.
A reciprocal of a fraction is obtained by inverting its upside down.
Answer:
True

Question 4.
To divide a decimal number by 100, we move the decimal point in the number to the left by two places.
Answer:
True

Question 5.
\(\frac{2}{3}\) of 8 is same as \(\frac{2}{3}\) ÷ 8.
Answer:
False

Very Short Answer Type Questions

Question 1.
The normal body temperature is 98.6°F. When Savitri was ill, her temperature rose at 103°F. How many degrees above normal was that?
Answer:
∵ 103.1 - 98.6 = 4.5
∴ Her temperature was 4.5°F above normal.

Question 2.
What is the cost of 27.5 m of cloth at ₹ 53.50 per metre?
Answer:
∵ Cost of 1 m of cloth = ₹ 53.50
∴ Cost of 27.5 m of cloth = 53.50 × 27.5
= ₹ 1471.25

Question 3.
When 0.02964 is divided by 0.004, what will be the quotient?
Answer:
0.02964 ÷ 0.004
= \(\frac{0.02964 \times 1000}{0.004 \times 1000}\) = \(\frac{29.64}{4}\) = 7.41

Question 4.
Evaluate \(\frac{0.6}{0.3}+\frac{0.16}{0.4}\).
Answer:

Short Answer Type Questions

Question 1.
Cost of burger is ₹ 20\(\frac{3}{4}\) and of Mcpuff is ₹ 15\(\frac{1}{2}\). Find the cost of 4 burgers and 14 Mcpuffs.
Answer:
∵ Cost of 1 burger = 20\(\frac{3}{4}\) = ₹\(\frac{83}{4}\)
∴ Cost of 4 burgers = \(\frac{83 \times 4}{4}\) = ₹ 83
∵ Cost of 1 Mcpuff = 15\(\frac{1}{2}\) = ₹\(\frac{31}{2}\)
∴ Cost of 14 Mcpuffs = \(\frac{31 \times 14}{2}\) = ₹ 217
Total cost = ₹ 83 + ₹ 217 = ₹ 300

Question 2.
Rita has bought a carpet of size 4m × 6\(\frac{2}{3}\)m. But her room size is 3\(\frac{1}{3}\) × 5\(\frac{1}{3}\) m. What fraction of area should be cut off to fit wall to wall carpet into the room?
Answer: