THE TABLE BELOW SHOWS THE NUMBER OF STUDENTS IN EACH CLASS IN A SCHOOL. THE PERCENTAGE (%) OF THE STUDENTS IN EACH CLASS WHO WEAR GLASSES IN ALSO SHOWN.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 24

In the figure below A, B, C and D are points on the circumference of the circle, centre O. A tangent to the circle at A intersects chord CD produced at E. Line AB is parallel to line EC. Angle AED = 45 degrees and angle ABD = 40 degrees.

​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 23

The systolic blood pressure of 60 patients attending a clinic was recorded as follows:

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 22

​A road contractor has to transport 240 tonnes of hardcore. He will use two types of lorries, type A and type B. He has 3 type A lorries and 2 type B lorries. The capacity of each type A lorry is 8 tonnes while that of type B is 15 tonnes. All type A lorries must each make the same number of trips. Similarly all type B lorries must each make the same number of trips. The number of trips made by each type B lorry should be less than twice those made by each type A lorry. Each type A lorry must not make more than 6 trips.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 21

An aircraft took off from point A (x degrees North, 15 degrees east) at 0720h, local time. It flew due west to another point B (x degrees North, 75 degrees West) a distance of 5005 km from A.

​​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 20

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

THE TABLE BELOW SHOES THE INCOME TAX RATES FOR A CERTAIN YEAR

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 18

​A FARMER HAS TWO TRACTORS P AND Q. TRACTOR P, WORKING ALONE, CAN PLOUGH A PIECE OF LAND IN 5 HOURS WHILE TRACTOR Q WOULD TAKE ON AND TWO-THIRDS HOURS LESS THAN TRACTOR P.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 17

​A PARTICLE MOVES IN A STRAIGHT LINE FROM A FIXED POINT. THE VELOCITY V MS^-1 OF THE PARTICLE AFTER T SECONDS IS GIVEN BY V=T^2 - 4T + 6.

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 16

THE POSITION VECTORS OF POINTS P, Q AND R ARE [1 -1 3], [3 3 1] AND [6 9 -2] RESPECTIVELY. SHOW THAT POINTS P, Q AND R ARE COLLINEAR

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 15

SOLVE THE EQUATION

​​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 14

Two variables x and y are such that y varies directly as x^n where n is a constant

​​​​KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 6

The sum of the first two terms of an increasing Geometric Progression (GP) is 20. The sum of the second term and the third term of the same GP is 30.
Determine the common ratio of the GP. (4 marks)

​A flour milling company has two types of flour for making porridge; maize flour and millet flour. Maize flour costs Ksh 60 per kilogram and millet flour costs Ksh 90 per kilogram. The milling company makes a new brand of flour by mixing maize flour and millet flour. If the new brand costs ksh 85 per kilogram, determine the percentage of maize flour in the mixture. (3 marks)

the displacement, s metres of a moving particle after t seconds in given by

​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 23 ON MATRIX

​THE NUMBER OF STUDENTS IN 40 SCHOOLS IN A CERTAIN SUB-COUNTY WERE RECORDED AS FOLLOWS:

​​​KCSE 2020 MATHEMATICS ALT A PAPER 1 QUESTION 21 ON VECTORS

A forest is enclosed by four straight boundaries AB, BC, CD and DA. Point B is 25 km on a bearing of 315° from A, C is directly south of B on a bearing of 260° from A and D is 30 km on a bearing of 210° from C.

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.
(a) If the speed of the lorry was x was x km/h:
(i) write expressions in terms of x for the time taken by the lorry and the pick-up respectively to cover the distance of 180 km;
(2 marks)
(ii) determine the speed of the lorry and that of the pick-up.
(5 marks)
(b) The distance between towns A and B is 240 km. On a certain day the pick-up started from town A at 8.30 a.m. and the lorry started from town B at the same time. Determine the time that the lorry and the pick-up met.
(3 marks)

A solid consists of a conical part, a cylindrical part and a hemispherical part. All the parts have the same diameter of 12 cm. The height of the cylindrical part is 15 cm and the slanting height of the conical part is 10 cm. (Тake л = 3.142).
Calculate the:
(a) height of the solid; (2 marks)
(b) surface area of the solid, correct to 1 decimal place; (4 marks)
(c) volume of the solid, correct to 1 decimal place. (4 marks)

Three business partners, Kosgei, Kimani and Atieno contributed Ksh 1 750 000 towards an investment. Kosgei contributed 20% of the money. Kimani and Atieno contributed the remainder in the ratio 3:5 respectively.
(a)
(i) Calculate the amount of money Kimani contributed. (2 marks)
(ii) Find the ratio of the contributions by the three partners. (2 marks)

(b) The money earned a compound interest at a rate of 8% per annum. After 3 years, the partners withdrew the interest and donated 10% to a charitable organisation. The partners then shared the remainder in the ratio of their contributions.
Calculate the amount of money, to the nearest shilling, that each partner received. (6 marks)