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Form 1 Mathematics Revision Questions and Answers Set 2
Express the following numbers in terms of their prime factors
a).300
b).196
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1.
The cost of 3 plates and 4 cups is Shs. 380. 4 plates and 5 cups cost Shs. 110 more than this. Find the cost of each item.
2.
A glass of juice of 200 ml content is such that the ratio of undiluted juice to water is 1: 7 Find how many diluted glasses can be made from a container with 3 litres undiluted juice
3.
A metal rod, cylindrical in shape has a radius of 4 cm and length of 14 cm. It is melted down and recast into small cubes of 2 cm length. Find how many such cubes are obtained
4.
Without using tables, simplify #(1.43 times 0.091 times 5.04)/(2.86 times2.8 times 11.7)#
5.
Otieno bought a shirt and paid sh 320 after getting a discount of 10%. The shopkeeper made a profit of 20% on the sale. Find the percentage profit the shopkeeper would have made if no discount was allowed?
6.
A two digit number is such that 3 times the units digit exceed the tens digit by 14. If the digits are reversed, the value of the number increases by 36. Find the number
7.
An Indian on landing at Wilson Airport changed Re 6000 into Kenya shillings when the exchange rate was Re = Ksh. 1.25. He spent Ksh. 5000 when in Kenya and converted the remaining amount to Rupees at the same rate as before. Find out how much the Indian is left with in Rupees.
8.
The last of three consecutive odd numbers is (2x+3). If their sum is 105, find the value of x.
9.
Solve #x/3 -(3x-7)/(5) = (x-2)/(5)#
10.
A father is three times as old as his son. In ten years’ time, the son will be half as old as the father. How old are they now?
11.
Given that a = -2, b = 3 and c = -1, Find the value of #(a^3 -b-2c^2)/(2b^2 -3a^2c)#
12.
On a map scale 1:20,000 a rectangular piece of land measures 5cm by 8cm. Calculate its actual area in hectares.
13.
Three angles of a pentagon are #110^0#, #100^0# and #130^0#. The other two are 2x and 3x respectively. Find their values.
14.
The interior angles of a hexagon are 2x + 5, 4x - 5, 4x + 5, 3x, 4x - 20 and 2x. Find the value of x.
15.
Write 27707807 in words.
16.
Use the elimination method to solve the simultaneous equations 2x+3y=1 3x=2y+8
17.
A trader sold a wrist watch for sh. 3,150 after giving a 10% discount. Find the marked price of the watch.
18.
Work out: 6349 + 259 +7954
19.
Work out: 73469 – 8971
20.
Work out: #469 times 63#
21.
Otego had 3469 bags of maize, each weighing 90 kg. He sold 2654 of them. a).How many kilogram of maize was he left with? b).If he added 468 more bags of maize, how many bags did he end up with?
22.
Express the following numbers in terms of their prime factors a).300 b).196
23.
The sum of two numbers exceeds their product by one. Their difference is equal to their product less five. Find the two numbers.
24.
Arrange the following in descending order. #5/12,7/3,11/5,9/4#
25.
Work out: #1/8 ÷2/3#
26.
Evaluate without using a calculator. #((1 3/4 - 5/8) times 2/3)/(3/4 +1 5/7 div 4/7 of 2 1/3)#
27.
Mr. Saidi keeps turkeys and chickens. The number of turkeys exceeds the number of chickens by 6. During an outbreak of a disease, #1/4# of the chicken and #1/3# of the turkeys died. If he lost total of 30 birds, how many birds did he have altogether?
28.
Without using tables or calculators evaluate #(35 div 5 +2 times -3)/(-9 +14 div 7 + 4)#
29.
Without using tables or calculator, evaluate the following. #(-8 + (-13) times 3 – (-5))/(-1 + (-6) ÷ 2 times 2)#
30.
There was a fund-raising in Matisse high school. One seventh of the money that was raised was used to construct a teacher’s house and two thirds of the remaining money was used to construct classrooms. If shs.300, 000 remained, how much money was raised?
31.
Round off 43.5648 to the nearest thousandth.
32.
Write the following numbers in standard form. a).36 b.) 576 c.) 0.052
33.
Work out: 2.64 + 11.2
34.
Work out: 14.73 – 12.155
35.
Work out: 2.1 x 1.2
36.
Work out: 1.4 x 6
37.
Evaluate 0.02 + 3.5 x 2.6 – 0.1 (6.2 -3.4)
38.
Simplify: 2x – 6y – 4x + 5z – y
39.
Factorize: a.) 3ab + 2b + 3ca + 2c b.) ab + bx – a - x
40.
Simplify the expression. #(18xy -18xr)/(9xr-9xy)#
41.
A laborer’s wage is sh.240 per eight hours working day. What is the rate of payment per hour?
42.
Increase 20 in the ratio 4: 5
43.
The price of a pen is adjusted in the ratio 6:5. If the original price was sh.50. What is the new price?
44.
Evaluate: 0.6÷0.73
45.
Evaluate #(1/4 of 3 1/2+3/2 (5/2-2/3))/(3/4 of 2 1/2 ÷ 1/4)#
46.
Square paring stones are used to cover an area measuring 16.5m by 12.75 m. If the stones are all alike and only whole ones are used, finds; a. The greatest size of the stones used. b. The number of paring stones used.
47.
A man is 24 years older than his son. After 10 years he will be three times old as his son. How old is the son.
48.
It takes 30 workers 6 days working 8 hours a day to harvest maize in a farm. How many days would 50 workers working 6 hours a day take to harvest the maize?
49.
Find the ratio x:y:z if x:y = 9:10 and y:z =5:3
50.
There is a 25% loss when an article is sold at sh.200. At what price should be sold in order to make a profit of 5%.
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