8th Mathematics Summative Assessment-II (2016-17)

8th Mathematics Summative Assessment-II (2016-17)

School Name: Venkateshwar Global School, Sector 13, Rohini, Delhi 110085 India
Time: 3 hour
M.M. 90 marks
Date: 28/02/2017
Subject: Mathematics
Class: VIII

General Instructions:

• All questions are compulsory.

1 marks questions

Question: 1. Write sown the number of faces and number of vertices of a cuboid.

Question: 2. The area of a triangle with altitude of 50cm is 500cm². What is the length of the base?

Question: 3. Write the sample space of tossing a dice.

Question: 4. Factorize using HCF: 18p²q² – 24 pq² + 30p²q

2 marks questions

Question: 5. Expand using appropriate identity. Also write the identity used: (2x – 1)²

Question: 6. The perimeter of a rectangular field is 50 meters. If its length is 10 meters, find its breadth and its area.

Question: 7. Find the area of the shaded region if ABCD is a rectangle with length 20 cm and breadth 10 cm.

Question: 8. Find the volume of a whose total surface area is 486 cm².

Question: 9. Simplify: 15a² – 6a (a – 2) + a (3 + 7a) – 3a³ – 2a²

Question: 10. Study the double bar graph and answer the questions that follow

1. In which 2 sections are the number of boys equal?
2. How many sections have grater number of girls than boys?

3 marks questions

Question: 11. Divide (x³ – 27) by (x – 3) and find the quotient and remainder.

Question: 12. Factorize: (ax + by)² + (bx – ay)²

Question: 13. Sonia borrowed 15,000 rupees from a bank and returned an amount 15,315 rupees with interest after 219 days. Find the simple interest paid and rate of interest.

Question: 14.

1. Factorize: 4d² – 8d + 3
2. Multiply: (4x² – 7) by (2x + 3)

Question: 15. Find the mean of the following data

Question: 16. A bag contains chits numbered from 20 to 79. Find the probability of getting

1. A chit numbered more than and equal to 75
2. A multiple of 10
3. A chit numbered less than 30

Question: 17. The circumference of the base of a cylinder is 176 cm and its height is 65 cm. Find the volume of the cylinder and its curved surface area.

Question: 18. The lengths of diagonals of a rhombus are 8 cm & 6 cm respectively. Find the length of each of its sides.

Question: 19. Prove Euler’s formula for a square pyramid.

Question: 20. The area of trapezium is 168 cm² and its height is 8 cm. If one the parallel sides is longer than the other by 6 cm, find the length of each of the parallel sides.

4 marks questions

Question: 21 Evaluate using identities. Mention the identities used.

1. 102 X 98
2.  (11)³

Question: 22. Simplify

1. (a + b – c)² + (a + b)²
2. If x + y = 12 and xy = 14, find the value of (x² + y²)

Question: 23. Factorize using appropriate identity

1. p³ – 25p
2. 25 x² + 110 xy + 121 y²

Question: 24. The marks obtained by Sudhir in an examination are given below:

Represent the above data by a pie chart.

Question: 25. A swimming pool is 20m in length, 15m in breadth and 4m in depth. Find the cost of cementing its floor walls at the rate of Rs. 12 per square m.

Question: 26. The lateral surface area of a hollow cylinder is 4224cm². It is cut along its height and formed a rectangular sheet of width 32 cm. Find the perimeter of rectangular sheet.

Question: 27. VALUE BASED QUESTION

A cardboard box is 1.2 m long, 72 cm wide and 45 cm high. How many bars of soap can be into if each bar measures 6 cm X 4.5 cm X 4 cm?

Rahul is a salesman of a soap manufacturing company. He packs 3000 soap bars and sends it to a customer. What value is he missing? What values should he inculcate to become a better human being?

Question: 28.

1. The ratio of 2 sides of a parallelogram is 4:3. If its perimeter is 56 cm, find the length of its.
2. Two adjacent angles of a parallelogram are (3x – 4) and (3x + 16). Find the value of x and hence find the measure of each of its angles.

Question: 29. At what rate percent per annum will a sum of 6250 rupees amount to 7290 rupees in 2 years compounded annually.

Question: 30. Michael borrowed 16000 rupees from a finance company at 10% per annum compounded half yearly. What amount of money would discharge his debt after 1.5 years?

Question: 31. A well shuffled pack of 52 plying cards is taken. Find the probability of getting

1. either a King or a Queen
2. neither a Jack nor an Ace
3. a face card
4. a red colored ball