**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

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 500cm^{2}. What is the length of the base?

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

#### Question: 4. Factorize using HCF: 18p^{2}q^{2} – 24 pq^{2} + 30p^{2}q

**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 cm^{2}.

#### Question: 9. Simplify: 15a^{2} – 6a (a – 2) + a (3 + 7a) – 3a^{3} – 2a^{2}

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

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

**3 marks questions**

#### Question: 11. Divide (x^{3} – 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.

- Factorize: 4d
^{2}– 8d + 3 - Multiply: (4x
^{2}– 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

- A chit numbered more than and equal to 75
- A multiple of 10
- 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 cm^{2} 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.

- 102 X 98
- (11)
^{3}

#### Question: 22. Simplify

- (a + b – c)
^{2}+ (a + b)^{2} - If x + y = 12 and xy = 14, find the value of (x
^{2}+ y^{2})

#### Question: 23. Factorize using appropriate identity

- p
^{3}– 25p - 25 x
^{2}+ 110 xy + 121 y^{2}

#### 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 4224cm^{2}. 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.

- The ratio of 2 sides of a parallelogram is 4:3. If its perimeter is 56 cm, find the length of its.
- 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

- either a King or a Queen
- neither a Jack nor an Ace
- a face card
- a red colored ball