KIGUMO SUBCOUNTY CLUSTER EXAMINATION, 2025 END OF TERM TWO

KIGUMO SUBCOUNTY CLUSTER EXAMINATION, 2025
END OF TERM TWO
Kenya Certificate of Secondary Education
121/1
MATHEMATICS
PAPER 1
TIME: 2½ HOURS
SECTION I (50 MARKS)
Answer ALL questions in this section
1. Use logarithm tables to evaluate;
(4 marks)
2. The image of a point Q (1,2) after a translation is Q1(-1,2). What is the co-ordinate of the point R
whose image is R1(-3, -3) after undergoing the same translation?
(3 marks)
3. The current price of a car is shs.500,000. Given that its depreciation rate is 15% p.a. Find the
number of years it will take for its value to fall to shs 180, 000.
(3 marks)
4. If P varies directly as r and inversely as the square root of q. Find the percentage change in P if r
increase by 40% and q decrease by 36%
(4marks)
5. The GCD and the LCM of four numbers are 6 and 1080. Three of the numbers are 24, 30 and 36.
Find the minimum possible value of the third number.
(3 marks)
6. Mary 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 the son will be less than her age by nine years. What is
Mary’s present age?
(3 marks)
7. Pipe x can fill an empty tank in 3 hours while pipe y can fill the same tank in 6 hours. When the tank
is full, it can be emptied by pipe z in 8 hours. pipe x and y are opened at the same time when the
tank is empty. If one hour later pipe z is also opened, find the total time taken to fill the tank.