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: 9982
* 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: 25m2 + 30m + 9
Q.6. Divide as directed:
x (x + 1) (x + 2) (x + 3) ÷ x (x + 1)
Q.7. Factorise: (x2 -2xy + y2) – z2
* 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 m2.
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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