JKBOSE Class 8th Mathematics Paper 2014 (SZ)

JKBOSE Class 8th Mathematics Paper 2014 (SZ)
CLASS-VIII
MATHEMATICS – T2
Time Allowed: 2:30 Hrs.       Maximum Marks: 40

Q.1. Fill in the blanks (1 × 6 = 6 marks)
i. (a + b)² = ………….
ii. How many rational numbers are there between 1 and 2?
iii. The opposite angles of a parallelogram are …………
iv. …………gives the number of times that a particular entry occurs.
v. Numbers like 1, 4, 9, 16, 25, …. are known as ……….. numbers.
vi. A …….. graph is used to compare parts of a whole.

Section – 2

Very Short Answer Type Questions (02 marks each)

Q.2. Define:

(i) Algebraic expression.

(ii) Linear equation in one variable.

Q.3. Subtract 2p²q² – 3pq + 4 from 5 + 7pq – 3p²q²

Q.4. Express in the usual form: 3.52 × 10⁵

Find m so that (-3) ^m+1 × (-3)⁵ = (-3)⁷

Q.5. Factorise z² – 4z – 12

Q.6. Factorise the expression and divide (y² + 7y + 10) + (y + 5)

Q.7. Factorise: p² – 10p + 25

Q.8. Find the perimeter of the given figure.

Section – 3

Short Answer Type Questions (03 marks each)

Q.9. Solve:

Or

Akram is twice as old as Shaziya. Five years ago, his age was three times Shaziya’s age. Find their present age.

Q.10. Find the value:

Q.11. A man got a 10% increase in salary if his new salary is ₹ 1,54,000. Find his original salary.

Q.12. Find the compound interest on ₹ 8,000 for 2 years at 5% per annum compounded annually.

Find the ratio of the speed of a cycle 15 km per hour to the speed of a scooter 30 km per hour.

A table marked at ₹ 15,000 is available for ₹ 14,400 to find the discount given and the discount percent.

Q.13. Find the area of a rhombus whose diagonals are of lengths 10 cm and 8.2 cm.

Section – 4

Long Answer Type Questions (05 marks each)

Q.14. Simplify: (2.5p + 1.5q)² – (1.5p – 2.5q)²

Or

Using the identities, find the following square: (0.4p – 0.5q)²

Q.15. Find the side of a cube whose surface area is 600 cm²

Or

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

Q.16. Construct a quadrilateral JUMP, given JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm and PU = 6.5 cm.

Or

Construct the quadrilateral ABCD, given that BC = 4.5 cm, AD = 5.5 cm, CD = 5 cm, the diagonal AC = 5.5 cm and diagonal BD = 7 cm.