KCSE MATHEMATICS QUESTIONS AND SOLUTIONS ~ Topically Analyzed
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kcse 1996 | paper 1 | section a | question 3 | commercial arithmetic | form 1 levelThe cost of 5 skirts and 3 blouses is Kshs 1750. Mueni bought three of the skirts and one of the blouses for Kshs 850. Find the cost of each item (3 marks).
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COMMERCIAL ARITHMETIC I | PAPER 2 | SECTION B | KCSE 1996 FORM 1 LEVELTwo businessmen jointly purchased a minibus capable of accommodating 25 paying passengers at full capacity. The fare for a one-way trip between towns A and B was set at Kshs 80 per passenger. The minibus operated three round trips between the two towns on a daily basis. The daily cost of fuel amounted to Kshs 1500. Additionally, the driver and conductor received daily allowances of Kshs 200 and Kshs 150 respectively. An additional Kshs 4,000 per day was allocated for maintenance, insurance, and loan payments.
QUESTION 24 | KCSE 2023 | Geometrical constructions | PAPER 1 | FORM 1 LEVELIn this question, use a ruler and a pair of compasses only. Line PR is a diagonal of a quadrilateral PQRS, PR = 6 cm
QUESTION 5 | KCSE 2023 | L.C.M | PAPER 1 | FORM 1 LEVELTwo light bulbs are set to light after every 40 seconds and 60 seconds respectively. If they light exactly at the same time initially, calculate:
(a) the time, in minutes, they will take to light together again. (2 marks) (b) the number of times they would light together in the first half an hour. (1 mark) QUESTION 13 | KCSE 2021 | GEOMETRICAL CONSTRUCTION | PAPER 2 | FORM 1 LEVELThe figure below shows triangle XYZ. Using a ruler and a pair of compasses, locate a point M on the triangle such that M is 2 cm from line YX and is equidistant from lines YX and YZ. Measure length YM. (3 marks)
QUESTION 13 | KCSE 2021 | Time | PAPER 1 | FORM 1 LEVELAli left Mombasa for Nairobi on Tuesday at 2.30 a.m. He arrived in Mtito Andei after 3 hours 12 minutes. He stayed in Mtito Andei for 36 hours and then left for Nairobi. He took 5 hours Ham 25 minutes to arrive in Nairobi.
Determine the day and time in the 12 hour system Ali arrived in Nairobi. (3 marks) QUESTION 12 | KCSE 2021 | Geometrical Constructions | PAPER 1 | FORM 1 LEVELLine AB drawn below is a side of a trapezium ABCD. (a) Using a ruler and pair of compasses only, complete trapezium ABCD in which AB is parallel to DC, BAD = 67.5°, AD = 5 cm, BC = 5.5 cm and ∠ABC is acute. (3 marks)
(b) Measure the length of DC. (1 mark) The cost of one litre of Petrol is Ksh 110. John's vehicle covers 12 km on one litre of petrol.25/12/2023 QUESTION 10 | KCSE 2021 | Rates, Ratio, Percentage and Proportion | PAPER 1 | FORM 1 LEVELThe cost of one litre of Petrol is Ksh 110. John's vehicle covers 12 km on one litre of petrol. He used Ksh 2 805 on petrol to travel from town A to town B. Jane's vehicle consumes 12.5 litres of Petrol for every 100 km travelled.
Calculate the amount of money that Jane would use to travel from town A to B on the same road. (3 marks) QUESTION 5 | KCSE 2021 | Angles & Plane Figures | PAPER 1 | FORM 1 LEVELThe size of two interior angles of an irregular polygon each measures 90°. All the other remaining interior angles each measure 150°.
Determine the number of sides of the polygon. (3 marks) QUESTION 2 | KCSE 2021 | L.c.m | PAPER 1 | FORM 1 LEVELTwo bells ring at intervals of 35 and 42 minutes respectively. The bells ring together at 8.48 a.m. Determine the time when the bells will ring together again. (3 marks)
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN06A pyramid of height 10 cm stands on a square base ABCD of side 6 cm
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN02Mary Has 21 Coins Whose Total Value Is Kshs 72. There Are Twice As Many Five Shillings Coins As There Are Ten Shillings Coins. The Rest Are One Shillings Coin. Find The Number Of Ten Shillings Coins That Mary Has.
K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN01Evaluate Without Using Mathematical Tables;
QUESTION 7 | KCSE 2022 | common solids | PAPER 2 | FORM 1 LEVEL A rectangle ABCD in which AB = 12 cm and BC = 5 cm is the base of a right pyramid whose apex is V. VA = VB = VC = VD = 13 cm. Point M is the mid point of the edge VC. (3 marks)
Calculate, correct to 2 decimal places, the length of line AM.
1989 Q8 P2
In the figure below, GJ is parallel to HI and FH is parallel to CJ. Angle AGB = 300, and angle AHC = 630. Find angle GCJ (2marks)
1991 Q10 P2
In the figure below AB // DE, <ABC = 700 and < CDE = 230. Find < BCD K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN11ABC Is A Triangle And P Is On AB Such That P Divides AB Internally In The Ratio 4:3. Q Is A Point On AC Such That PQ Is Parallel To Bc. If AC = 14 CM
(I)State The Ratio AQ:QC (II)Calculate The Length Of QC On The Surface Of A Cuboid ABCDEFGH A Continuous Path BFDHB Is Drawn As Shown By The Arrows Below.21/12/2023 K.C.S.E MATHEMATICS Q & A - MODEL 1997PP2QN10On The Surface Of A Cuboid ABCDEFGH A Continuous Path BFDHB Is Drawn As Shown By The Arrows Below.
QUESTION 20 | KCSE 2022 | GEOMETRICAL CONSTRUCTIONS | PAPER 1 | FORM 1 LEVEL In the figure below, line AB = 10 cm and is part of a trapezium ABCD. Point X is such that angle BAX = 45°.
A shot put is spherical and has mass of 7.26kg. It is made of a metal with a density of 6.93 g/cm³13/11/2023 QUESTION 18 | KCSE 2022 | DENSITY | PAPER 1 | FORM 1 LEVELA shot put is spherical and has mass of 7.26kg. It is made of a metal with a density of 6.93 g/cm³. (Take PIE = 22/7).
QUESTION 16 | KCSE 2022 | COMMON SOLIDS | PAPER 1 | FORM 1 LEVEL The base, ABCDEF, of a right pyramid is a regular hexagon of side 2.5 cm. Point V is the vertex of the pyramid and the length of the slanting edges is 4 cm.
Draw a labelled net of the pyramid. (3 marks) QUESTION 11 | KCSE 2022 | Commercial Arithmetic I | PAPER 1 | FORM 1 LEVELA Kenyan bank bought and sold United Arab Emirates (UAE) dirhams on two different dates as shown below. A Kenyan tourist who travelled to UAE on 1st August 2021 converted Ksh 130050 to UAE dirhams.
During her stay in UAE, she spent 3520 UAE dirhams. She arrived back to Kenya on 16th August 2021. On the same day she converted the remaining amount of money to Kenya shillings at the same bank. Calculate the amount of money in Kenya shillings that she received from the bank. (3 marks) QUESTION 7 | KCSE 2022 | TIME | PAPER 1 | FORM 1 LEVELA watch loses 8 seconds every hour. It was set to read the correct time at 1100 h on Sunday.
Determine the time, in a 12-hour system, the watch will show on the following Thursday when the correct time is 0500 h. (3 marks) QUESTION 9 | KCSE 2022 | bearings | PAPER 2 | FORM 1 LEVELPort L is 120 km on a bearing of S30°W from port K. A ship left port K at 1000 h and sailed at a speed of 40 km/h along the bearing of S60°E.
Using scale drawing, determine the bearing of the ship from port L at 1400 h. (4 marks) QUESTION 9 | KCSE 2022 | Bearings | PAPER 1 | FORM 1 LEVELPort L is 120 km on a bearing of S30°W from port K. A ship left port K at 1000 h and sailed at a speed of 40 km/h along the bearing of S60°E. Using scale drawing, determine the bearing of the ship from port L at 1400 h. (4 marks)QUESTION 4 | KCSE 2022 | LCM | PAPER 1 | FORM 1 LEVELKipkoech and Tanui began a 5000m race together at the starting line. Kipkoech and Tanui took 72 seconds respectively to run a 400 m lap. The two athletes were together again after some time. Determine the number of laps that Tanui had to run to complete the race after they were 72 seconds and 80 at the starting line together. (3 marks) |
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