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.

REVISION PRACTICE JAN 2012

1)A man earns Rs. 12000. He spends Rs. 8000. Find the percentage of money remaining with him.
2)Mrs. Mohan has 5 red sarees, 3 blue sarees and 2 green sarees. What percentage of her sarees are red, blue and green ?
3)What is 25 percent of 2 kg ?
4)Express 250 as a percentage of 2500
5)What percent of 200 is 50 ?
6)A car travels for 200 kms in 5 hours. Find its speed.
7)A bus travels at 80 km/h. How far will it go after 3 and 1/2 hours ?
8)A Harley Davidson bike travels for a distance of 200 kms. How long will it take travelling at 75 km/h. Give your answer in hours and minutes
9)A bird flies at a speed of 5 m/s. Find its speed in km/h
10)A rocket flies at 360 km/h. Find its speed in m/s