**JKBOSE Class 8th Mathematics Paper 2014 (SZ)**

**CLASS-VIII**

**MATHEMATICS – T2**

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

**Section – 1**

**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 2p ^{2}q^{2} – 3pq + 4 from 5 + 7pq – 3p^{2}q^{2}**

**Q.4. Express in the usual form: 3.52 × 10 ^{5}**

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

**Q.5. Factorise z ^{2 }– 4z – 12**

**Q.6. Factorise the expression and divide (y ^{2} + 7y + 10) + (y + 5) **

**Q.7. Factorise: p ^{2} – 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 cm ^{2}**

**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. **

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