KCSE Mathematics Topical Questions - Atikaschool.com - ATIKA SCHOOL

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

2X]2 + 2y]2 - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle.

28/11/2021

GRAPHICAL METHODS | Determining of the centre and radius of a circle | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A

2X² + 2y² - 6X + 10y + 9 = 0 is the equation of a circle. Find the radius and the centre of the circle. (4mks)

Given that P = QX]n make n the subject of the formula and simplify your answer.

28/11/2021

FORMULAE AND VARIATIONS | Change of the subject | FORM 3 LEVEL | PAPER 2 QUESTIONS | SECTION A

Given that P = QXⁿ make n the subject of the formula and simplify your answer. (3mks)

Solve for θ in the equation sin (3θ+120) degrees

27/11/2021

Solve for θ in the equation sin (3 θ + 120)degrees

Worked Answer:

Solve for θ in the equation sin (3 θ + 120)degrees

The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands

26/11/2021

The initial salary of Mr. Lutta is sh. 42, 000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands. (3mks)

Worked Answer:

Find the value of a and b where a and b are rational numbers

26/11/2021

Find the value of a and b where a and b are rational numbers. (3mks)

Worked Answer:

Solve the equation below.

26/11/2021

Solve the equation below. (3 marks)

Worked Answer:

Use logarithms correct to 4 decimal places to evaluate.

26/11/2021

Use logarithms correct to 4 decimal places to evaluate. (3mks)

Worked Answer:

Click to set custom HTML

Primary Resources

K.C.P.E Past Papers
Pri - Primary 1 Level
Pri - Primary 2 Level
Grade 1
Grade 2
Grade 3
Grade 4
Standard 5
Standard 6
Standard 7
Standard 8
English
Kiswahili
Social Studies
Science
Mathematics
Kenya Sign Language
I.R.E
H.R.E
Notes
Termly Questions
Mocks
K.C.P.E Past Papers

College Resources

E.C.D.E
P.T.E
D.T.E
Technical Diploma
Technical Certificate
Business Diploma
Business Certificate
Higher Diploma
K.A.S.N.E.B Resources
K.M.T.C Resources
Varsity Resources

Secondary Resources

Other Useful Links

Contact Us

Manyam Franchise
P.O Box 1189 - 40200 Kisii
Tel: 0728 450 424
Tel: 0738 619 279
Tel: 0763 450 425
E-mail - sales@manyamfranchise.com

Photo used under Creative Commons from BryonLippincott