FACTORISATION

Factorise the following:

1) 12 a ² + 20 a ³

2) x ² – xy + x – y

3) 4 x ² – 1

4) x² y ³ z ² + x ³ y ³ z ²

5) 2 x ² – 2x + 3x – 3

6) 27 a b c – 45 a c

7) 49 a ² – 64 b ²

8) 9x – 36

9) x ⁴ – 9

10) x ² – x + x y – y

PERCENTAGES

1) A man had Rs 4000. He saved Rs 400. What percentage did save, and what percentage was used?

2) What percentage of 75 is 15?

3) A school had 200 pupils, 150 were boys. 20 % of the boys are good in sports. How many are good in sports?

4) What percentage of 200 is 40?

5) 20 % of what number is 3500?

GEOMETRY CONSTRUCTIONS

1) Construct triangle ABC, AB= 7cm, AC = 6 cm , BC = 8cm

2 )Construct triangle PQR, PQ=QR=PR = 7 cm, construct its circumcircle and measure its radius.

3) Construct triangle ABC, BC = 7 cm, AB = 8cm, angle ABC = 70 ⁰, construct its incircle and measure its radius.

4) Draw AB = 7cm, mark a point O such that AO = 7cm and OB = 8cm. From O construct a line perpendicular to AB.

5) Draw BC = 8 cm, mark a point X such that BX = 5 cm. At X construct a perpendicular line.

MIXED PRACTICE

1. Find the square root of 605.16
2. Factorise 25ab – 50b
3. In what time will the interest on Rs 650 be Rs 312 at 6% rate.
4. Fifteen less than 4 times a number is 9. Find the number.
5. Solve: 3(x + 1) = 12 + 4(x - 1)