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Class 8 - Annual Examination - 1

Section - A, Attempt all the questions from this section

1. Answer the following.              [2 × 5]

a) If 5% of VAT is included in the prices, find the original price of a cooking oil bought for Rs. 220.

b) If set P = {1, 2, 3, 4, 5, 6, 7) and Q = {1, 4, 5, 6, 7, 8), find P − Q.

c) Find the product of the cube of (-3) and square of (+5).

d) Add 5x + 7y − 9z, 5x − 7y + 2z, x − 3y − 2z, 3z − 6x + 4y by column method.

e) Find P' when Universe set (U) = {x|x ∈ N, x ≤ 10}, P = {1, 2, 4, 6}.

2.                     [3 + 3 + 3 + 1]

a) How long will it take a certain sum of money to 4 times of itself at 1212% per annum simple interest?

b) If (3p + 5q) units, (9p + q) units, (p + 14q), and (5p − 6q) units are the length of the sides of a quadrilateral field, then find the perimeter of the quadrilateral field.

c) A retailer marks his goods 20% above cost price and allows a discount of 5%. What gain percent does he make?

d) The volume of a cube is 729 cm3, find the length of an edge of cube.

Section - B, Attempt any three questions from this section

3.                     [3 + 3 + 4]

a) The area of a trapezium is 392cm2. If the ratio of parallel sides is 3 : 4 and the distance between them is 16 cm, find the lengths of parallel sides.

b) Two adjacent sides of a parallelogram are 20 cm and 10 cm. If the distance between longer sides is 8 cm, find the distance between shorter sides.

c) A rectangular pit 1.4 m long, 90 cm broad and 70 cm deep was dug and 1000 bricks of base 21 cm by 10.5 cm were made from the earth dug out. Find the height of each.

4.                     [3 + 3 + 4]

a) If universe set U = {10, 20, 30, 40, 50, 60, 70, 80, 90} P = {10, 20, 30, 40, 50, 60} Q = {40,60,80,90}, then find P' ∪ Q'.?

b) Two cylindrical jars contain the same amount of water. If their diameters are in the ratio 5 : 6, find the ratio of their heights.

c) An Iron pole is 8 m high and 21 cm in diameter. Find its weight if the iron weighs 400 kg per m3.

5.                     [3 + 3 + 4]

a) Top surface of a raised platform is in the shape of a regular octagon as shown in the given figure. Find the area of the octagonal surface.

b) Find the value of 'p' for {(-25)2}p × (-52)-1 = -8125

c) Rita and Gita are friend. They have equal amount of money in their pockets. Rita gave 14 of her money to Gita for buying books and Gita buy books by paying half of the total money with her. If the remaining money in Gita's pocket is 1600 rupees, then find the sum given by Rita.

Annual Examination - 1

Annual Examination - 2