**JKBOSE Class 8th Mathematics Paper 2015 **

**CLASS-VIII**

**MATHEMATICS – T2**

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

**JKBOSE Class 8th Mathematics Paper 2015**

**Section – 1**

**Q.1. Do as directed: 1 x 6 = 6 marks.**

i. Rational numbers are closed under subtraction. (True/False)

ii. The diagonals of a rectangle are of ……….. length. Fill in the blanks.

iii. Cube of any odd number is even. (True/False)

iv. A ……… is a pictorial representation of data using symbols. (Fill in the blanks)

v. When A and B are in direct proportion, complete the table

vi. Multiplicative inverse 5-3 is ……….. (Fill in the blanks)

**Section – 2**

**Very Short Answer Type Questions (02 marks each)**

**Q.2. Solve: **

**Q.3. Multiply (a ^{2} + 2b^{2}) and (5a + 3b)**

*** Using identity, find (4p – 3q) ^{2}.**

**Q.4. Simplify: **

**Q.5. Factorise: 49x ^{2} – 36**

**Q.6. Factorise: z – 7 + 7xy – xyz **

**Q.7. Factorise the expression and divide (m2 – 14m – 32) ÷ (m + 2) **

**Q.8. Find the area of trapezium ABCD as shown in figure:**

**Section – 3**

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

**Q.9. Solve the equation and check your result:**

*** Present ages of Saika and Amir are in the ratio of 4:5. Eight years from now, the ratio of their ages will be 5:6. Find their present ages.**

**Q.10. Find the value of m so that:**

**Q.11. A man got a 10% increase in his salary. If his new salary is Rs. 154000, find his original salary.**

**Q.12. Calculate the amount of Rs. 10000 for 1 year at 8% per annum compounded half yearly.**

*** Find the selling price (S.P), if a profit of 5% is made on a cycle of Rs. 700 with Rs. 50 as overhead charges.**

**Q.13. Find the area of the quadrilateral ABCD as shown in the figure:**

**Section – 4**

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

**Q.14. Using the identities, find the following square: (2xy + 5y) ^{2}**

**Or**

**Show that. (4pq + 3q) ^{2} – (4pq – 3q)^{2} = 48pq^{2}**

**Q.15. 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 100m ^{2} of the area is painted. How many cans of paint will she need to paint the room?**

**Or**

**A rectangular paper of width 14 cm is rolled along its width and a cylinder of radius 20 cm is formed. Find the volume of the cylinder. (Take 22/7 for pie)**

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