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# Form 1 Mathematics End of Term 3 Exam 2021

Class: Form 1

Subject: Mathematics

Level: High School

Exam Category: Form 1 End Term 3 Exams

Document Type: Pdf

## Exam Summary

Answer ALL the questions in the spaces provided (70marks)

1. Evaluate without using a calculator (2 Marks)
(23.4-2(5.2+5.3))/(3.2times1.2

2. In Blessed Church choir, the ratio of males to females is 2:3. On one Sunday service, ten male members were absent and six new female members joined the choir as guests for the day. If on this day the ratio of males to females was 1:3, how many regular members does the choir have? (3 Marks)

3. A Kenyan bank buys and sells foreign currency as shown below. A tourist travelling from Britain arrives in Kenya with 5000 Euros. He converts all the Euros to Kenya shillings at the bank. While in Kenya he spends a total of KSh. 289,850 and then converts the remaining Kenya shillings to US dollars at the bank. Calculate (to nearest dollar) the amount he receives? (3 Marks)

4. Complete the figure below so as to make the net of a cuboid. Hence determine the surface area of the cuboid. (4mks) 5. The sum of the interior angles of a regular polygon is 1080°. Calculate
(a) The number of sides of the polygon (2 Marks)

(b) The sizes of the exterior and interior angles of the polygon. (2 Marks)

6. Three similar pieces of timber of length 240cm, 320cm and 380cm are cut into equal pieces. Find the largest possible area of a square which can be made from any of the three pieces. (3 marks)

7. The sum of digits formed in a two digit number is 16. When the number is subtracted from the number formed by reversing the digits, the difference is 18. Find the number (3 Marks)

8. Three pens and four exercise books cost Sh. 87. Two pens and five exercise books cost Sh. 93. Find the cost of one pen and one exercise book. (4 Marks)

9. A farmer has enough feed to last 45 cows for 30 days. If he buys 5 more cows, how long will the feed last? ( 3 Marks)

10. Wanza sold a bag of potatoes for Sh. 420 and made a profit. If she sold it at Sh. 320, she could have made a loss. Given that the profit is thrice the loss, how much did she pay for the bag of potatoes? (3 Marks)

11. Momanyi spent one eighth of his February salary on farming, half on school fees and two thirds of the remainder on food. Calculate his February salary and the amount he spent on school fees if he spent sh. 3200 on food. (3mks)

12. Makau, Wanjiru and Kemboi start a race at 9.03 a.m. in the same direction to run around a circular course. Makau makes the circuit in 252 seconds. Wanjiru in 308 seconds and Kemboi in 198 seconds. If they start from the same point, at what time will they next be all at the starting point together? (3mks)

13. A square based brass plate is 2mm high and has mass of 1.05kg. The density of the brass is 8.4g/cm³. Calculate the length of the plate in centimeters. (3mks)

14. Mrs. Wekesa paid shs 12500 for a wrist watch after the shopkeeper gave her a discount of 2%. If the shopkeeper made a profit of 20%. Calculate the price the shopkeeper bought from the manufacturer. (3mks)

15. Mary arranged all prime numbers less than ten in descending order to get a number. Kyalo also arranged all perfect square less than ten in ascending order to get a number. Find the total value of the second digit in the difference between the numbers (3 mks)

16. The marked price of a modern camera is Ksh. 24,000. A trader sold it to a customer at a 10% discount. If the trader still made a profit of 20% on the cost price, what was its cost price? (3mks)

17. A cylindrical water tank is of diameter 7 metres and height 2.8 metres.
a) Find the capacity of the water tank in litres. (4 marks)

b) Six members of a family use 15 litres each per day. Each day 80 litres are used for cooking and washing and a further 60 litres are wasted. Find the number of complete days a full tank of water would last the family. (2 marks)

c) members of the family were absent for 90 days. During the 90 days, wastage was reduced by 20% but cooking and washing remained the same. Calculate the number of days a full tank would now last the family. (4 marks)

18. An expedition has 5 sections AB, BC, CD, DE and EA. B is 200m on a bearing of 050° from A. C is 500m from B. The bearing of B from C is 300°. D is 400m on a bearing 230° from C. E is 250m on a bearing 025° from D.
(a) Sketch the route (1 Mark)

(b) Use the scale of 1cm to 50m to draw the accurate diagram representing the route. (5 Marks)

(c) Use your diagram to determine
(i) Distance in metres of A from (2 Marks)

(ii) Bearing of E from A