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)

SIMPLE INTEREST

SIMPLE INTEREST
1) A sum of Rs 5000, is deposited for 9 months @ 5% p.a. calculate the interest and amount.
2) A sum of Rs 4500 is invested for 18 months @ a certain rate of simple interest p.a. Calculate the rate if the simple interest is Rs 40
3) In what time will Rs 3500 yield Rs 50 as simple interest @ 2 ½ % p.a
4) A certain sum yields Rs 200 as simple interest in 5 years @ 10 % p.a. find the principal.
5) Rs 3500 amounts to Rs 4000 in 6 months . Find the rate of interest . How much will Rs 5000 amount to in 4 years at the same rate of interest?

Decimals , January 2012

EVALUATE
1)0.8 x 0.08
2)32.87 + 9 .009
3)123 – 12.8
4)23.5 ÷ 0.5
5)9.8 – 1.2 x 10
6)254.5 ÷ 100
7)12.08 x 0.2 – 0.005
8)0.09 x 0.08 x 0.01
9)Express 2 / 9 as a decimal , up to one decimal place
10)Express 1 /8 as a decimal ,up to 2 decimal places

PROBLEMS USING SIMPLE EQUATIONS - REVISION WORK

1) The sum of a number and 25 is 37. Find the number.
2) A number increased by half of itself is 105. Find the number.
3) Twice a number increased by 15 is the same as the number increased by 32, find the number.
4) Three times the sum of a number and 5 is the same as twice the number and 25, find the number.
5) The sum of 2 consecutive whole numbers is 29, find the numbers.
6) The sum of 2 consecutive odd numbers is 36, find the numbers.
7) Three times a number increased by 12 is the same as twice the number increased by 17, find the number.
8) A number increased by one third itself is 120, find the number.
9) The sum of 3 consecutive even numbers is 36, find the numbers.
10)Three times a number exceeds twice itself by 7, find the number.