JKBOSE Class 8th Mathematics Paper 2017 (SZ)

CLASS-VIII (Set II)

MATHEMATICS – T2

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

**JKBOSE Class 8th Mathematics Paper 2017 (Set II)**

**Section – 1**

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

i. The reciprocal of -5 is …………

ii. Sum of angles of a pentagon is …………

iii. A ……… is a pictorial representation of data using symbols.

iv. Cube root of 64 is equal to …………

v. Evaluate: (-4)^{2} = ………….

vi. a^{m} × a^{n} = ……………

**Section – 2**

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

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

**Q.3. Simplify and express the result in power notation with positive exponent: (3 ^{-7} ÷ 3^{-10}) × 3^{-5}**

**Q.4. Find the value of m for which 5 ^{m }÷ 5^{-3} = 5^{5}.**

**Q.5. Multiply the binomial: (2x + 5) and (4x – 3) **

**Q.6. Factorise: 49x ^{2} – 36**

**Q.7. The area of the rhombus is 240 cm ^{2} and one of the diagonal is 16 cm. Find the other diagonal.**

**Q.8. Convert the ratio into percentage 3:4.**

**Section – 3**

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

**Q.9. Three consecutive integers add up to 51. What are the integers?**

**Q.10. Calculate the amount and compound interest on ****₹**** 10800 for 3 years at 12.5% per annum compound annually.**

**Q.11. Find the area of the rhombus whose side s 6 cm and whose altitude is 4 cm. **

**Q.12. An item is marked at ****₹**** 840 is sold for ****₹**** 714. What is the discount and discount %.**

**Q.13. Factorise: p ^{2} + 6p + 8**

**Section – 4**

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

**Q.14. Using a ^{2} – b^{2} = (a + b) (a – b), find (1.02)^{2} – (0.98)^{2} **

**Or**

**Simplify: (2x + 5) ^{2} – (2x – 5)^{2}**

**Q.15. Find the height of a cuboid whose base area is 180 cm ^{2} and volume is 900 cm^{3}.**

**Or**

**A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of the road roller is 84 cm and the length is 1 m. **

**Q.16. Construct a quadrilateral MORE, MO = 6 cm, OR = 4.5 cm, ****∠****M = 60◦, ****∠****O = 105◦ and ****∠****R = 105◦.**

**Or**

**Construct a quadrilateral ABCD in which AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and AC = 7 cm. **

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