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Form 1 Mathematics End of Term 3 Examination 2021
Class: Form 1
Subject: Mathematics
Level: High School
Exam Category: Form 1 End Term 3 Exams
Document Type: Pdf
Views: 2293
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Exam Summary
TUTORKE EXAMS
Name……………………………………………………………Adm No………………
School……………………………………………………………Signature…………….
Date………………………
MATHEMATICS
TIME: 2HRS END TERM 3 FORM 1
SECTION 1 (50 MARKS)
ANSWER ALL THE QUESTIONS
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. (3mks)
2. Without using tables, simplify #(1.43 x 0.091 x 5.04)/(2.86 x 2.8 x 11.7)#
3. The exchange rate in January 2000 was US $ 1 = Ksh 75.60 and UK £1 = Ksh 115.80. A tourist came to Kenya with US $ 5000 and out of it spent ksh.189,000. He changed the balance in UK £ . How many pounds did he receive? (4mks)
4. 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 (3mks)
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? (4mks)
6. A pipe is made of metal 2cm thick. The external Radius of the pipe is 21cm. What volume of metal is there in a 34m length of pipe (pie = 3.14). (4mks)
7. A rectangular tank of base 2.4m by 2.8m and height 3m contains 3,600 litres of water initially. Water flows into the tank at the rate of 0.5m/s. Calculate the time in hours and minutes required to fill the tank. (4mks)
8. It costs Maina shs. 13 to buy 3 pencils and 2 rubbers; while Mutiso spent shs.9 to buy one pencil and 2 rubbers. Calculate the cost of a pencil and one rubber (3mks)
9. 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? (4mks)
10. Three angles of a pentagon are #110^0#, #100^0# and #130^0#. The other two are 2x and 3x respectively. Find their values. (4mks)
11. A piece of wood of volume 90cm3 weighs 54g. Calculate the mass in kilograms of 1.2 m3 of the wood. (3mks)
12. 12 men working 8 hours a day take 10 days to pack 25 cartons. For how many hours should 8 men be working in a day to pack 20 cartons in 18 days? (4mks)
13. Evaluate without mathematical tables leaving your answer in standard form
#(0.0171^2 X 3)/(855 X 0.531)#
14. Six men take 14 days working 8 hours a day to pack 2240 parcels. How many more men working 5 hours a day will be required to pack 2500 parcels in 2 days (3 Mks)
SECTION II
ANSWER ANY FIVE QUESTIONS
15. P and Q are two ports 200km apart. The bearing of Q from P is 0400. A ship leaves port Q on a bearing of 1500 at a speed of 40km/hr to arrive at port R 7 ½ hrs later. Calculate:
(a) The distance between ports Q and R. (2mks)
(b) The distance between ports P and R. (3mks)
(c) The bearing of port R from port P. (3mks)
16. A rectangular tennis court is 10.5m long and 6m wide. Square tiles of 30cm are fitted on the floor.
(a) Calculate the number of tiles needed. (2mks)
(b) Tiles needed for 15 such rooms are packed in cartons containing 20 tiles. How many cartons are there in total? (3mks)
(c) Each carton costs shs. 800. He spends shs. 100 to transport each 5 cartons. How much would one sell each carton to make 20% profit? (5mks)
17. A cylindrical tank connected to a cylindrical pipe of diameter 3.5cm has water flowing at 150 cm per second. If the water flows for 10 hours a day
(a) Calculate the volume in M3 added in 2 days (5mks)
(b) If the tank has a height of 8 m and it takes 15 days to fill the tank, calculate the base
radius of the tank (5mks)
18. A joint harambee was held for two schools that share a sponsor. School A needed Shs.15 million while School B needed 24 million to complete their projects. The sponsor raised Shs.16.9 million while other guest raised Shs.13.5 million.
(a) If it was decided that the sponsor's money be shared according to the needs of the school with the rest equally, how much does each school get (6 mks)
(b) If the sponsor's money was shared according to the schools needs while the rest was in the ratio of students, how much does each school get if school A has 780 students and school B 220 students (4 mks)
19. (a) Using a ruler and compass only, construct triangle PQR in which PQ = 3.5 cm, QR = 7 cm and angle PQR = #30^0# (4 Mks)
(b) Construct a circle passing through points P, Q and R (2 Mks)
(c) Calculate the difference between area of the circle formed and triangle PQR (4 Mks)
20. The exchange rate on March 17th 2000, was as follows: -
1 US$ = Kshs.74.75
1 French Franc (Fr) = Kshs.11.04
A Kenyan tourist had Kshs.350,000 and decided to proceed to America
(a) How much in dollars did he receive from his Kshs.350,000 in 4 s.f? (3Mks)
(b) The tourist spend ¼ of the amount in America and proceeded to France where he spend Fr 16,200. Calculate his balance in French Francs to 4 s.f (4 Mks)
(c) When he flies back to Kenya, the exchange rate for 1 Fr = Kshs.12.80. How much more in Kshs. does he receive for his balance than he would have got the day he left? (3 Mks)
21. A businessman bought pens at Shs.440. The following day he bought 3 pens at Shs.54. This purchase reduced his average cost per pen by Sh.1.50. Calculate the number of pens bought earlier and the difference in cost of the total purchase at the two price (10 mks)
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