KCSE Mathematics Topical Questions - Atikaschool.com - ATIKA SCHOOL

Atika School HAS A VARIETY OF MATHEMATICS QUESTIONS AND ANSWERS SORTED ACCORDING TO LEVELS, PAPERS AND TOPICS

QUESTION AND ANSWER ON VECTORS II MODEL06012023003

5/1/2023

QUESTION AND ANSWER ON GRAPHICAL METHODS MODEL06012023009

5/1/2023

QUESTION AND ANSWER ON GRAPHICAL METHODS MODEL06012023004

5/1/2023

QUESTION AND ANSWER ON COMMERCIAL ARITHMETIC II MODEL06012023005

5/1/2023

QUESTION ON SEQUENCE AND SERIES MODEL06012023002

5/1/2023

question and answer on graphical methods MODEL06012023012

5/1/2023

QUESTION AND ANSWER ON CIRCLES, CHORDS AND TANGENTS MODEL06012023016

5/1/2023

QUESTION AND ANSWER ON FORMULA AND VARIATIONS MODEL06012023015

5/1/2023

QUESTION AND ANSWER ON VECTORS II MODEL06012023017

5/1/2023

QUESTION AND ANSWER ON SURDS MODEL06012023014

5/1/2023

QUESTION AND ANSWER ON LOGARITHMS `AND INDICES MODEL06012023010

5/1/2023

MAKE P THE SUBJECT OF THE FORMULA IN THE EQUATION:

2/1/2023

EXPAND BINOMIAL EXPRESSION:

2/1/2023

A Business man is paid a commission of 5% on sales ofgoods worth over ksh 100,000. He is paid a monthly salary of ksh 15,000but 2% of his total earning is remitted as tax. In a certain month hesold goods worthy khs 500,000.

2/1/2023

QUESTIONS

A Business man is paid a commission of 5% on sales of goods worth over ksh 100,000. He is paid a monthly salary of ksh 15,000 but 2% of his total earning is remitted as tax. In a certain month he sold goods worthy khs 500,000.

a) Calculate his monthly net earnings that month. (5marks)
b) The following month, his monthly salary increased by 20%. His commission was increased to 10% but on goods worth over ksh 200,000. If his total earnings that month was ksh 64,800, Calculate the money received from the sale of goods. (5marks)

aNSWERS

A piece of wire, 18 cm long is cut into two parts. The first part is bent to form the four sides of a rectangle having length x cm and breath 1 cm.

27/12/2022

A piece of wire, 18 cm long is cut into two parts. The first part is bent to form the four sides of a rectangle having length x cm and breath 1 cm.
a). State two expressions in terms of x only for the perimeter of the square and the rectangle. (2 marks)

If the sum of the areas of the square and the rectangle is A cm², show that

If A =8 cm², Solve the equation in (b) above for x, hence find the possible dimensions of the two pieces of wire. (6 marks)

Solve for θ in the equation

27/12/2022

Solve for θ in the equation

SOLVE FOR Θ IN THE EQUATION

SOLVE FOR Θ IN THE EQUATION

The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)

16/12/2022

The average rate of depreciation in value of a laptop is 10% per annum. After three complete years its valuewas ksh 35,000. Determine its value at the start of the three-year period.(3marks)

Given that, the coordinates of two points P and Q are (■(2,&3,&5)) and (■(6,&k-1,&15)) respectively and that their position vectors are parallel, Calculate the value of |PQ|. (4marks)

11/12/2022

The mass of maize flour to the nearest 10 grams is 8. 67kg.Determine the percentage error in this measurement.

9/12/2022

The mass of maize flour to the nearest 10 grams is 8. 67kg. Determine the percentage error in this measurement. (3marks)

Auma, Hassan and Kamau competed in a game of darts. Their probabilities of hitting the target are 2/5, 1/5 and 3/10 respectively.

2/12/2021

Auma, Hassan and Kamau competed in a game of darts. Their probabilities of hitting the target are 2/5, 1/5 and 3/10 respectively.

(a) Draw a probability tree diagram to show all the possible outcomes. (2mks)

(b) Calculate the probability that
(i) No one hit the target. (2mks)

(ii) Only one of them hit the target. (2mks)

(iii) At least one of them hit the target. (2mks)

(iv) At least one of them missed the target. (2mks)

Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his i

30/11/2021

COMMERCIAL ARITHMETICS II | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION B

Mr. Kimutai a teacher from Tuiyotich Secondary School earns K₤ 12000 per annum and lives in a house provided by the employer at a minimum rent of Ksh.2000 per month. He gets a family relief of K₤ 1320p.a. and is entitled to a relief of 10% of his insurance of K₤ 800p.a.

(a) Calculate his annual tax bill based on the table below. (6mks)

(b) Kimutai other deductions include.
- W.C.P.S = sh 600.00pm
- NHIF = sh 500.00pm
Calculate Kimutai’s net salary monthly. (4mks)

The diagram below shows a triangle OPQ in which M and N are points on OQ and PQ respectively such that OM = ⅔ OQ and PN = 1/4 PQ. Lines PM and ON meets at X.

30/11/2021

VECTORS (2) | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION B

The diagram below shows a triangle OPQ in which M and N are points on OQ and PQ respectively such that OM = ⅔ OQ and PN = ¼ PQ. Lines PM and ON meets at X.

The diagram below shows a triangle OPQ in which M and N are points on OQ and PQ respectively such that OM = ⅔ OQ and PN = ¼ PQ. Lines PM and ON meets at X.

(a) Given that OP = P and OQ = q express in term of P and q the vectors.
(i) PQ

PQ=q-p

(ii) PM. (2mks)

(iii) ON. (2mks)

(b) You are further given that OX = KON and PX = hPM.
(i) Express OX in terms of P and q in two different ways. (2mks)

(ii) Find the value of h and K. (2mks)

(iii) Find the ratio PX : XM. (1mk)

The diagram below shows a square based pyramid V vertically above the middle of the base. PQ = 10cm and VR = 13cm. M is the midpoint of VR.

29/11/2021

VECTORS II | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION B

The diagram below shows a square based pyramid V vertically above the middle of the base. PQ = 10cm and VR = 13cm. M is the midpoint of VR.

Find
(a) (i) the length of vector PR. (2mks)

(ii) The height of the pyramid. (2mks)

(b) (i) the angle between VR and the base PQRS. (2mks)

(ii) The angle between MR and the base PQRS. (2mks)

(iii) The angle between the planes QVR and PQRS. (2mks)

Expand a Binomial expression (5+x/2)]6 to the term x]3 and use it to answer (11/2)]6

28/11/2021

BIONOMIAL EXPANSION | FORM 3 | PAPER 2 QUESTIONS | SECTION A

(i) Expand

to the term in x cubed.

(ii) Use your expansion to estimate the value of

Correct to one decimal place. (2mks)

Chords AB and CD of a circle meet at X.

28/11/2021

ANGLE PROPERTIES OF A CIRCLE | CIRCLES: CHORDS AND TANGENTS | | PROPERTIES OF CHORDS INTERSECTING EXTERNALLY | FORM 3 | PAPER 2 QUESTIONS | SECTION A

Chords AB and CD of a circle meet at X.

If AB = 8cm, BX = 5cm and DX = 6. Calculate the length of chord CD. (3mks)

WORKED ANSWER:

Let CD be x
CX * DX = AX * BX (PROPERTIES OF CHORDS INTERSECTING EXTERNALLY)

CX = x+6
DX = 6
AX = AB + BX = 8 + 5 = 13
BX = 5

THEREFORE:
(X + 6)6 = 13 * 5
6X + 36 = 65
6X = 29
X = 29/6 = 4.83CM

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