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) (x2 – xy + y2)
* Find the product: (a2 + b) (a + b2)
Q.4. Find the value of:
* Express the number in standard form 0.000035
Q.5. Factorise: m4 – 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, 24ab2, 12a2b
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 m2. 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: (6x2 + 5y)2
Or
Show that. (4pq + 3q)2 – (4pq – 3q)2 = 48pq2
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 100m2 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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