QUESTION 9 | KCSE 2022 | Bearings | PAPER 1 | FORM 1 LEVEL 

​Port 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)

ANSWERS

QUESTION 4 | KCSE 2022 | LCM | PAPER 1 | FORM 1 LEVEL 

​Kipkoech 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)

SOLUTION

QUESTION 2 | KCSE 2022 | FRACTIONS | PAPER 1 | FORM 1 LEVEL 

A family used two-fifths of its monthly income on school fees. Three-quarters of the remaining amount was used on family upkeep while the rest was invested. The family invested Ksh 13 500 monthly. Calculate the amount of money the family used on school fees every month.   (4 marks)

SOLUTION

Kering purchased (2x-1) identical pens for Ksh 180. Naraya purchased (3x+1) identical pencils for Ksh 200.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 19

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 11

In a 4×400 m relay competition, a team of athletes each completed their round in 45 sec, 43 sec, 44 sec and 45 sec respectively. If the race started at 1:35:31 p.m., find the time when the team completed the race. (3 marks)

A vertical electric pole was erected 6.4 m from the foot of a vertical fencing pole on the same horizontal level. The fencing pole is 2 m high. The angle of elevation of the top of the electric pole from the top of the fencing pole is 30°. Determine the height of the electric pole correct to 1 decimal place. (2 marks)

A Kenyan Non-Governmental Organization (NGO) received a donation of 200000 US dollars. The money was converted into Kenyan shillings in a bank which buys and sells foreign currency as follows:

Using a ruler and a pair of compasses only, construct a parallelogram ABCD in which AB=6cm, BC=5cm and angle ADC=150 degrees

Answer

In the figure below, AB and CD are arcs of two concentric circles, centre O. Angle AOB=60 degrees and AD=BC=7cm.

​Using the grid provided below, solve the simultaneous equations.
x-4y = -5
-x+2y= 1
(3 marks)

Answer

​The sum of the interior angles of a regular polygon is 1260°. Find the size of each exterior angle of the polygon. (3 marks)

Answer

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 4

ANSWER

KCSE 2020 MATHEMATICS PAPER 1 QUESTION NUMBER 2 

ANSWER

KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 1

ANSWER:

​A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom.   (3mks)

A group of people planned to contribute equally towards a water project which needed
Ksh. 2, 000,000 to complete. However 40 members of the group withdrew from the project. As a result each of the remaining members were to contribute Ksh. 2,500 more. 

a) Find the original number of members in the group. (5mks) 

b) Forty five percent of the value of the project was funded by constituency development fund (CDF). Calculate the amount of contribution that would be made by each of the remaining members. (3mks) 

​c) Members contribution were in terms of labour provided and money contributed. If the ratio of the value of labour to the money contribution was 6:9. Calculate the total amount of money contributed by the members. (2mks) 

​Using a ruler and a pair of compasses only construct triangle ABC such that AB= 4.5cm, BC = 8.1cm and angle CBA = 60^0. Measure angle CAB.                                                                 (3mks) 

​Transfer the measurement of the reap below to a field book (2mks) 

​Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces all of the same length to make window grills. Calculate the length of the longest piece that can be cut from each of the rods and hence the total number of pieces that can be obtained from the rods. (4mks) 

​Three children shared some money. John got 0.7 of the money and Jane 0.4 of the remainder of what John got. Loice received the rest which was sh. 405. How much did Jane get? (4mks)

​Four interior angles of a hexagon are 100, 140, 125 and 105. The fifth interior angle is four times the sixth. Find, in degrees the fifth interior angle. (3mks)

​Four towns PQR and S are located such that town Q is 70km on a bearing of 050° from P. 
Town R is 50km on a bearing of 145° from Q and town S is 55km on a bearing of S35°W of R.
(a)By scale drawing, show the relative position of the four towns.
(Use a scale of 1cm to represent 10km).     (3mks)
(b) Use your diagram to determine
    (i)        the distance and bearing of P from S.  (3mks)
    (ii)       how far R is from P.   (2mks)
 (c)       Determine by the diagram or otherwise how far north town P is from town S.   (2mks)

​ANSWER

​Three litres of water (density 1g/cm³) is added to twelve litres of alcohol (density 0.8/cm³).
What is the density of the mixture?                                                                                       (3mks)

ANSWER