**JKBOSE Class 8th Mathematics Paper 2016 (SZ) **

**CLASS-VIII (Set I)**

**MATHEMATICS – T2**

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

**JKBOSE Class 8th Mathematics Paper 2016 (SZ)**

**Section – 1**

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

i. The sum of the measure of the exterior angle of a regular polygon of 8 sides is ……….

ii. Zero has …………… reciprocals.

iii. The probability of getting an even 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. Using identities, evaluate: 998 ^{2}**

*** Simplify: (1.5x – 4y) (1.5x + 4y + 3) – 4.5x + 12y**

**Q.4. Simplify and express the result in power notation with positive exponent: (-4) ^{5} ÷ (-4)^{8}**

**Q.5. Factorise the expression: 25m ^{2} + 30m + 9**

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

**x (x + 1) (x + 2) (x + 3) ÷ x (x + 1)**

**Q.7. Factorise: (x ^{2} -2xy + y^{2}) – z^{2 }**

*** Find the ratio of 50 paise to Rs. 5**

**Q.8. The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.**

**Section – 3**

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

**Q.9. The ages of Aatif and Asif are in the ratio of 5:7 Four years from now, the ratio of their ages will be 3:4. Find their present age.**

*** There is a narrow rectangular plot, reserved for a school in Magam village. The length and breadth of the plot are in the ratio 11:4. At the rate of Rs. 100 per metre it will cost the village panchayat Rs. 75000 to fence the plot. What are the dimensions of the plot?**

*** Solve: **

**Q.10. Simplify: **

**Q.11. A shop gives a 20% discount. What would be the sale price of a bag marked at Rs. 250?**

**Q.12. The population of a place increased to 54,000 in 2023 at a rate of 5% per annum. What would be its population in 2005?**

**Q.13. In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and the height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of Rs. 8 per m ^{2}.**

**Section – 4**

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

**Q.14. Show that:**

**Or**

**Find the following squares by using the identities:**

**Q.15. The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of a rectangular sheet. **

**Or**

**A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with sides 6 cm can be placed in the given cuboid?**

**Q.16. Construct a quadrilateral ABCD where AB = 3.5 cm, BC = 6.5 cm, ****∠****A = 75◦, ****∠****C = 120◦ and ****∠****D = 75◦. Measure AD and CD.**

**Or**

**Construct a quadrilateral TRUE. TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ****∠****R = 75◦ and ****∠****U = 120◦**

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