**JKBOSE Class 8th Mathematics Paper 2016 (Set II) **

**CLASS-VIII (Set II)**

**MATHEMATICS – T2**

**Time Allowed: 2:30 Hrs. Maximum Marks: 40**

**JKBOSE Class 8th Mathematics Paper 2016 (Set II)**

**Section – 1**

**Q.1. Fill in the blanks: 1 x 6 = 6 marks.**

i. The diagonals of a ………… are perpendicular bisectors of one another.

ii. All negative rational numbers ………. than all the positive rational numbers.

iii. The probability of getting an odd number while tossing a die is ………

iv. The value of

v. Square is the inverse operation of ……….

vi. The value of = …………..

**Section – 2**

**Very Short Answer Type Questions (02 marks each)**

**Q.2. Solve the equation:**

**Q.3. Simplify: (x + y) (x ^{2} – xy + y^{2})**

*** Find the product: (a ^{2} + b) (a + b^{2})**

**Q.4. Find the value of: **

*** Express the number in standard form 0.000035**

**Q.5. Factorise: m ^{4} – 256**

**Q.6. Divide as directed.**

**52pqr (p + q) (q +r) (r + p) ÷**** 104pq (q +r) (r + p)**

**Q.7. Find the common factors of the given term 6abc, 24ab ^{2}, 12a^{2}b**

**Q.8. The area of a trapezium shaped field is 480 m2, the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side.**

**Section – 3**

**Short Answer Type Questions (03 marks each)**

**Q.9. Suhail’s age is three times his son’s age. Ten years ago, he was five times his son’s age. Find their present ages. **

** * The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2 ****. Find the rational number.**

**Q.10. Simplify and express the result in power notation with a positive exponent. **

**(3 ^{-7} ÷ 3 ^{-10}) × 3^{-5}**

**Q.11. Suhail bought a second-hand refrigerator for Rs. 2,500, then spent Rs. 500 on its repairs and sold it for 3,300. Find his loss or gain percent.**

**Q.12. Calculate the amount and compound interest on Rs. 8,000 for 1 year at 9% per annum compounded half yearly. **

**Q.13. The internal measures of a cuboidal room are 12m x 8m x 4m. Find the total cost of whitewashing all four walls of a room, if the cost of whitewashing is Rs. 5 per m ^{2}. What will be the cost of whitewashing if the ceiling of the room is also whitewashed?**

**Section – 4**

**Long Answer Type Questions (05 marks each)**

**Q.14. Find the following square by using the identities: (6x ^{2} + 5y)^{2}**

**Or**

**Show that. (4pq + 3q) ^{2} – (4pq – 3q)^{2} = 48pq^{2}**

**Q.15. A rectangular piece of paper 11 cm x 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder. **

**Or**

**Dawood is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15m, 10m and 7m respectively. From each can of paint 100m ^{2} of the area is painted. How many cans of paint will she need to paint the room?**

**Q.16. Construct the trapezium ABCD where AB = 8 cm, BC = 4.5 cm and CD = 4 cm. ****∠****B = 60◦ and AB || CD.**

**Or**

**Construct the parallelogram HEAR. HE = 5 cm, EA = 6 cm and ****∠****R = 85◦**

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