KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
Comprehensive Answers and Marking Schemes KNEC Certified
ALT B | TIME, DISTANCE AND SPEED | | FORM 1 LEVEL | SECTION 1 | PAPER 2 | KCSE 2010 | QUESTION 16Below is a travel timetable for a bus travelling from town P to town S via towns Q and R.
If the distance between town P and town S is 220km, calculate the average speed at which the bus travels. (3 marks)
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ALT B | LINEAR MOTION | SECTION 2 | QUESTION 23 | KCSE 2010 | FORM 3 LEVELThe figure below is a velocity - time graph for a car that travelled from t = 0 to t = 60, where t is time in seconds. Use the graph to calculate:
QUESTION 14 | KCSE 2023 | LINEAR MOTION | PAPER 2 | FORM 3 LEVELA stone was thrown upwards from a point 8 metres above the ground. The following graph shows the height, h metres of the stone above the ground at time / seconds in the interval 0 ≤ t ≤ 4. Determine the rate of change of h at t = 2 seconds. (3 marks)
QUESTION 17 | KCSE 2023 | LINEAR MOTION | PAPER 1 | FORM 2 LEVELTwo towns, A and B are 400 km apart. A motor cyclist travelling at an average speed of 60 km/h left town A for town B at 1.20 p.m. A matatu travelling at an average speed of 80 km/li also left town A for town B at 2.00 p.m.
QUESTION 24 | KCSE 2021 | lINEAR mOTION | PAPER 2 | FORM 4 LEVELA particle was moving along a straight line. The acceleration of the particle after t seconds was given by (4t-13) ms^-2. The initial velocity of the particle was 18 ms-¹.
QUESTION 6 | KCSE 2021 | LINEAR motion | PAPER 1 | FORM 3 LEVELIn a race Kipsang maintained an average speed of 5 m/s. When he was 310 m to the finishing line, Mutunga was 50 m behind him. However, Mutunga finished the race 10 m ahead of Kipsang.
Determine Mutunga's average speed. (3 marks) QUESTION 16 | KCSE 2022 | LINEAR MOTION | PAPER 2 | FORM 2 LEVELThe velocity v m/s of a particle moving in a straight line is (-2t+4) m/s. Determine the distance moved by the particle during the first second of its motion. (3 marks)
QUESTION 8 | KCSE 2022 | RELATIVE SPEED | PAPER 1 | FORM 3 LEVELA lorry left town A for town B and maintained an average speed of 50 km/h. A car left town A for town B 42 minutes later and maintained an average speed of 80 km/h. At the time the car in town B, the lorry haf 25 km to cover to town B. Determine the distance between town A and B (3 marks)The average speed of a pick-up was 20 km/h faster than the average speed of a lorry. The pick-up took 45 minutes less than the lorry to cover a distance of 180 km.
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