Fractions — MATHS STD 7 — Question

The length of a rectangular plot exceeds its breadth by 5 m. If the perimeter of the plot is 142 m, find the length and the breadth of the plot.

Find whether the given division forms a terminating decimal or a non-terminating decimal:
23 ÷ 0.7

Aditya went to Australia during the holidays of his children. They visited the coral reef and they were all excited to go for scuba diving. Aditya dived 36 feet to reach the brain coral as his instructor had directed him. He then rose by 19 feet to travel over a ridge.
Q.1. What is the depth of the ridge?
(a) 57 feet (b) 19 feet (c) 17 feet (d) 45 feet
Q.2. Aditya again dived 58 feet to reach the base of the reef. What is the depth of the reef?
(a) 32 feet (b) 41 feet (c) 58 feet (d) 75 feet
Q.3. In order to see an underwater cave, Aditya rose 26 feet. What is his location with respect to sea-level? 
(a) 49 feet (b) 101 feet (c) 26 feet (d) 9 feet
Q.4. If a whale moving at a depth of 21 feet from the sea level passed over Aditya, what was its distance from Aditya?
(a) 64 feet (b) 49 feet (c) 53 feet (d) 28 feet

From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought by Manoj. If 600 m² land is still left unsold, find the total area of the piece of land.

Kumar bought a transistor for Rs. 960. He paid 12 % cash money. The rest he agreed to pay in 12 equal monthly instalments. How much will he pay each month?

If the mean of the following frequency distribution is 15, find the value of p.

Variable (xi)	10	12	14	16	18
Frequency (fi)	13	p	15	32	28