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Form 1 Mathematics Revision Questions and Answers Set 1
A goat is tethered to a post by a rope 6.3m. Find its maximum grazing area.
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1.
Without using mathematical table or calculator, evaluate: #sqrt((0.00320+0.0608)/(1.44 times 0.4))#
2.
Madam Akinyi earns a basic salary of KSh. 24,000 per month. In addition she is paid a commission of 5% for sales above KSh. 30,000. In the month of February she sold goods worth KSh. 300,000 at a discount of 6%. Calculate her total earning that month.
3.
The curved surface area of a cylindrical container is #1980cm^2#. If the radius of the container is 21cm, calculate to one decimal place the capacity of the container in litres. (Take#pi# = #22/7#)
4.
A number n is such that when divided by 3, 7, 11 or 13, the remainder is always one. Find the number n.
5.
The price of an article is marked as 12,000/= Mr. Omanga sold the article at a discount of 10% and still made a profit of 8%. Calculate the cost of the article.
6.
Evaluate the following #{-78÷ (-6)} + {26times - 2}#
7.
If #2/3# is added to the numerator of a certain fraction the fraction will be increased by #1/21# and if #1/2# is deducted from its denominator that fraction becomes #2 /9#. Find the reciprocal of the fraction.
8.
Kairietu is now four times as old as her daughter and six times as old as her son. Twelve years from now, the sum of the ages of her daughter and son will differ from her age by 9 years. What is Kairietu’s present age?
9.
Given a: b = 6:7 and b: c = 14:17 find a:b:c.
10.
A farmer has a piece of land measuring 840m by 396m. He divides it into square plots of equal size. Find the maximum area of one plot.
11.
In a Chemistry experiment, a boy mixed some acid solution of 45% concentration with an acid solution of 25% concentration. In what proportion should the two acids be mixed in order to get 100cm3 of solution of 30% concentration?
12.
The sum of three consecutive whole numbers is 84. Find the numbers.
13.
Maureen spent sh. 207 to buy 7 exercise books and 4 pens while Sharon spent sh. 165 to buy 5 exercise books and 5 pens of same type. Find the cost of each item.
14.
The sum of interior angles of a regular polygon is #720^0#. Find the number of sides of the polygon and give its name.
15.
If x = -2, y =-6 and z=4, find the value of: #(3yz)/(x)#
16.
Nkini bought 3 skirts and 2 sweaters at a total cost sh. 1575. If he had bought 2 skirts and 3 sweaters he would have spent sh. 225 more. Find the cost of 5 skirts and 2 sweaters.
17.
Which ratio is greater, 2: 3 or 4: 5?
18.
A 72-hactare farm is to be shared among three sons in the ratio 2:3:4. What will be the sizes in hectares of the three shares?
19.
A car travels 40km on 5 litres of petrol. How far does it travel on 12 litres of petrol?
20.
A train takes 3 hours to travel between two stations at an average speed of 40km per hour. A t what average speed would it need to travel to cover the same distance in 2hours?
21.
Change #2/5# into percentage.
22.
Convert 0.67 into a percentage:
23.
A farmer harvested 250 bags of maize in a season. If he sold 200 bags, what percentage of his crops does this represent?
24.
A man earning sh. 4 800 per month was given a 25% pay rise. What was his new salary?
25.
A dress which was costing sh. 1 200 now goes for sh. 960. What is the percentage decrease?
26.
The ratio of John’s earnings to Peter’s earnings is 5:3. If John’s earnings increase by 12%, his new figure becomes sh. 5 600. Find the corresponding percentage change in Peter’s earnings if the sum of their new earnings is sh.9 600.
27.
(a) Find the circumference of a circle of a radius 7cm. (b) The circumference of a bicycle wheel is 140 cm. find its radius.
28.
An arc of a circle subtends an angle 60 at the centre of the circle. Find the length of the arc if the radius of the circle is 42 cm. #(pi=22/7)#.
29.
Find the surface area of a triangular prism shown below.
30.
Find the surface area of a cylinder whose radius is 7.7 cm and height 12 cm.
31.
Find the mass of an ice cube of side 6 cm, if the density of the ice is 0.92 g/ cm³.
32.
The figure below is a rectangle of length 5cm and width 3cm. Find its perimeter
33.
Find the volume of a solid whose cross-section is a right- angled triangle of base 4 cm, height 5 cm and length 12 cm.
34.
Find the volume of a cuboid of length 5 cm, breadth 3 cm and height 4 cm.
35.
The area of a sector of a circle is 38.5 cm². Find the radius of the circle if the angle subtended at the centre is #90^0# (Take #pi=22/7#)
36.
Find the area of the sector of a circle of radius 3cm if the angle subtended at the centre is 140 ? (take #pi=22/7) #
37.
Find the volume of cork of mass 48 g. given that density of cork is 0.24 g/cm³
38.
The density of iron is 7.9 g/cm³. what is this density in kg/m³
39.
Ten men working six hours a day take 12 days to complete a job. How long will it take eight men working 12 hours a day to complete the same job?
40.
Find the volume of a cylinder with radius 1.4 m and height 13 m.
41.
The ratio of the adjacent sides of a rectangle is 4:5. Find the dimensions of the rectangle if its length is (x+1) cm and the width is (x - 3) cm. Hence, determine the ratio of the area of the rectangle to its perimeter.
42.
The area of a trapezium is #20cm^2# and the lengths of the two parallel sides are 4cm and 6cm. Calculate the percentage increase in its area if the perpendicular distance between the parallel sides is increased by 2 cm.
43.
A rectangle which is three times as long as it is wide has the same perimeter as a square of area #64cm^2#. What is the length of the length of the rectangle?
44.
A piece of wire 200cm long is bent to form a rectangular shape. One side of the rectangle is 4 cm longer than the other. Find the dimensions of the rectangle.
45.
Juma spent half of his July salary on school fees, one eighth on farming and two-thirds of the remainder on food. Calculate his July salary if he spent sh.3200 on food.
46.
A goat is tethered to a post by a rope 6.3m. Find its maximum grazing area.
47.
Three tanks are capable of holding 108 litres, 168 litres and 180 litres of milk. Determine the capacity of the greatest vessel which can be used to fill each one of them an exact number of times.
48.
Evaluate #1/3 of (5/6 -1/4) ÷1/12#
49.
If each interior angle of a regular polygon is #150^0#, how many sides does the polygon have?
50.
Evaluate #(3/4+1 5/7 ÷4/7 of 2 1/3)/((1 3/7-5/8)times2/3)#
51.
Solve the simultaneous equations x+ y=3 2x+4y=10
52.
A trader bought 8 cows and 12 goats for a total of Ksh.294,000. If he had bought 1 more cows and 3 more goats he would have spend Ksh.337,500. a).Form two equations to represent the above information. (b).Determine the cost of a cow and that of a goat.
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