# KCSE Mathematics Paper 2 Revision Exercise Set 2

KCSE Mathematics Paper 2 Revision Exercise Set 2. The answers are in video format.

Lessons (**20**) * SHARE*

- 1.
The figure below shows a triangle ABC in which AB= 20cm, angle BAC=110° and angle ACB = 30°. Calculate to one decimal place the length of Ab and hence the area of the triangle ABC.

3m 19s - 2.
Mueni bought maize and beans at sh 20 per kg and 50 per kg respectively. She mixed in a ratio such that after selling the mixture at sh 39 per kg, she made a profit of 50%. Find the ratio in which she mixed them

6m 18s - 3.
The velocity v meters per second of a particle in motion is given by the equation v = #2t^2#-4t+10 where t is time in seconds. Determine the total distance moved by the particle in the first 3 seconds.

3m 33s - 4.
Given that the expression #9x^2#-30x+k is a perfect square, find the value of k.

1m 33s - 5.
Solve the following quadratic equation by completing the square.
#2x^2#-5x+3=0

3m 35s - 6.
Given the matrices A = #[[3,2],[4,1]]# and B = #[[1,-1],[2,3]]#
and that C = AB, find the inverse of C.

4m 44s - 7.
On the above figure PQR and PT are tangents to the circle at Q and T respectively. Angle RPT = 30° and angle RQS = 50°. Giving reasons for your
answer find the size of angle PTS.

2m 19s - 8.
a) Using the binomial expansion, expand and simplify #(1-2x)^5# up to the term #x^3#
b) Use the simplified expression in (a) above to calculate to 4 decimal places the approximate value of #(0.98)^5.#

4m 26s - 9.
The speed of bout in calm water is 25 km/h. The bout moves from point A to a point B upstream and back to a point A in 6 hours 15minutes. If the river current is flowing at speed of 5km/h, calculate the distance between A and B.

3m 47s - 10.
Two points have the coordinates P (6, -3,9) and Q (3, -6, -3). A point R divides line PQ internally in the ratio 1:2. The position vectors of P, Q and Rare p, q and r respectively.
(a) Express the position vector of p and q.
i. In terms of p and q.
ii. In terms of i, j and k
(b) Hence state the coordinates of R.

4m 23s - 11.
Grade A sugar costs sh 75 per kg and grade B sugar costs sh 50 per kg. Angela mixed the two grades and sold the mixture at sh 72 per kg. In so doing she made a profit of 20%.
In what ratio did she mix them?

4m 20s - 12.
The map of a district is drawn to the scale of 1: n on this map an estate is represented by a rectangle measuring 7.5 mm long and 2.4 mm wide. If the actual area of the estate is 72 hectares, find the value of n.

3m 41s - 13.
Two qualities X and Y are such that Y varies inversely as the square of X. Given that y= 8 when X= 2, find the value of X when Y= 18.

2m 2s - 14.
The hire purchase value of a sewing machine is 25% more than its cash price. The HP terms require a customer to pay 32.5% of the HP price as deposit followed by 9 monthly instalments of sh.1 500 each. Calculate the cash price of the sewing machine.

2m 50s - 15.
The equation of circle is #X^2-8x+y^2+12+16=0.# Determine the coordinates of the Centre of the circle and its radius.

4m 2s - 16.
A cylindrical water tank of diameter 7 metres and height 2.4 metres is to be filled by a pipe P of internal radius 3.5 cm. Water flows through the pipe at the rate of 50 metres per minute. A drainage pipe Q can empty the tank in 12 hours.
a) Calculate the time in hours pipe P would take to fill the empty tank.
b) Starting with the empty tank water flows into this tank through pipe P for 6 hours.

6m 7s - 17.
In the figure OPQ is a triangle in which OS = #1/3#OP and OR = #1/3OQ.# T is a point on QS such that QT = #3/4#QS.
a) Given that OP = p and OQ = q, express the following vectors in terms of p and q:
i. SR
ii. QS
iii. PT
iv. TR
b) Hence or otherwise show that the points P, T, and R are collinear.

9m 32s - 18.
A sales man is paid a basic salary of sh 4 500 and a house allowance of sh 1 800 per month. On top of this he is paid commission at the rate of 5% on the first sh 10 000 worth of goods sold and further commission of #7 1/2%# on anything above this. At the end of the first month he received a gross income of sh 7 595 while at the end
of the second month he received a commission of sh 1 445.

4m 51s - 19.
You are given a matrix M = #[[7,25],[4,50]]#.
a) Find #M^-1# the inverse of M.
b) Two slaughter houses Masho and Jasho bought bulls at sh b per bull and goats at sh g per goat. Masho bought 7 bulls and 25 goats at a total cost of sh 135 000. Jasho bought
4 bulls and 50 goats at a total cost of sh 120 000.
i. Form a matrix equation to represent the information.
ii. Use the inverse M-1 in (a) above

11m 45s - 20.
The figure above shows a circle in which chords AD and BC intersect at E. Chords AB and CD produced meet at X.
a) Giving reason for your answer, show that triangle XDA and XBC are similar.
b) Given that XB= 3 cm, XC= 9cm and XD= 4cm, determine the length of XA.

3m 28s

### Related Content

- Form 4 Geography: Management and conservation of environment online lessons
Form 4 Geography: Management and conservation of environment online lessons

18 Video Lessons

- Form 4 Geography online video lessons on settlement
Form 4 Geography online video lessons on settlement

23 Video Lessons

- KCSE Mathematics Paper 2 Revision Exercise Set 1
KCSE Mathematics Paper 2 Revision Exercise Set 1

17 Video Lessons

- Form 4 Geography online video lessons on population
Form 4 Geography online video lessons on population

36 Video Lessons

- Form 4 Geography online lessons on trade
Form 4 Geography online lessons on trade. The lessons are are available in video format.

18 Video Lessons

- KCSE Mathematics Paper 1 Revision Exercise Set 2
KCSE Mathematics Paper 1 Revision Exercise Set 2

22 Video Lessons

- Form 4 Chemistry online video lessons on metals
Form 4 Chemistry online video lessons on metals

20 Video Lessons

- KCSE Mathematics Paper 1 Revision Exercise Set 1
KCSE Mathematics Paper 1 Revision Exercise Set 1. In this session, we are going to solve mathematics paper 1 questions. Answers are available in video format.

21 Video Lessons

- Form 4 Chemistry lessons on electrochemistry
Form 4 Chemistry lessons on electrochemistry. In this session, we are going to cover form 4 chemistry, electrochemistry topic.

40 Video Lessons

- Form 4 CRE: Christian Approach to Selected Issues Related to Modern Science..
Form 4 CRE Online Lessons on Christian Approach to Selected Issues Related to Modern Science, Technology and Environment

19 Video Lessons

- Form 4 Chemistry lessons on reaction rates and reversible reactions
Form 4 Chemistry lessons on reaction rates and reversible reactions

18 Video Lessons

- Maswali na Majibu Katika Riwaya ya Chozi La Heri
Maswali na Majibu Katika Riwaya ya Chozi La Heri

8 Video Lessons

- Maswali na majibu ya tumbo lisiloshiba na hadithi zingine
Maswali na majibu ya tumbo lisiloshiba na hadithi zingine

46 Video Lessons

- Uchambuzi wa tamthilia ya Kigogo (Pauline Kea)
Uchambuzi wa tamthilia ya Kigogo (Pauline Kea)

44 Video Lessons

- Uchambuzi wa Riwaya ya Chozi La Heri (Assumpta K. Matei)
Uchambuzi wa Riwaya ya Chozi La Heri (Assumpta K. Matei)

35 Video Lessons

- Uchambuzi wa tumbo lisiloshiba: Kidege (Robert Oduori)
Uchambuzi wa tumbo lisiloshiba: Kidege (Robert Oduori)

8 Video Lessons

- Uchambuzi wa tumbo lisiloshiba: Ndoto ya mashaka (Ali Abdulla Ali)
Uchambuzi wa tumbo lisiloshiba: Ndoto ya mashaka (Ali Abdulla Ali)

7 Video Lessons

- Uchambuzi wa tumbo lisiloshiba: Masharti ya Kisasa (Alifa Chokocho)
Uchambuzi wa tumbo lisiloshiba: Masharti ya Kisasa (Alifa Chokocho)

8 Video Lessons

- Uchambuzi wa tumbo lisiloshiba: Mame Bakari (Mohammed Khelef Ghassany)
Uchambuzi wa tumbo lisiloshiba: Mame Bakari (Mohammed Khelef Ghassany)

10 Video Lessons

- Uchambuzi wa tumbo lisiloshiba: Shibe inatumaliza (Salma Omar Hamad)
Uchambuzi wa tumbo lisiloshiba: Shibe inatumaliza (Salma Omar Hamad)

9 Video Lessons

- Uchambuzi wa Tumbo Lisiloshiba: Shogake dada ana ndevu (Alifa Chokocho)
Uchambuzi wa Tumbo Lisiloshiba: Shogake dada ana ndevu (Alifa Chokocho)

8 Video Lessons

- Uchambuzi wa Tumbo Lisiloshiba: Mapenzi Ya Kifaurongo (Kenna Wasike)
Uchambuzi wa Tumbo Lisiloshiba: Mapenzi Ya Kifaurongo (Kenna Wasike)

13 Video Lessons

- Uchambuzi wa Tumbo Lisiloshiba: Tumbo Lisiloshiba (Said A. Mohammed)
Uchambuzi wa Tumbo Lisiloshiba: Tumbo Lisiloshiba (Said A. Mohammed)

7 Video Lessons

- Form 4 CRE: Christian Approach to law, order and Justice lessons
Form 4 CRE Christian Approach to law, order and Justice online lessons

26 Video Lessons

- Form 4 Physics: Floating and sinking online lessons
Form 4 Physics: Floating and sinking online lessons

8 Video Lessons

- Form 4 Physics uniform circular motion online lessons
Form 4 Physics uniform circular motion online lessons.

11 Video Lessons

- Form 4 Geography online lessons on transport and communication
Form 4 Geography online lessons on transport and communication

28 Video Lessons

- Form 4 Chemistry: Energy changes in chemical and physical processes lessons
Form 4 Chemistry: Energy changes in chemical and physical processes online video lessons

16 Video Lessons

- Form 4 Business Studies: Economic development and planning online video lessons
Form 4 Business Studies: Economic development and planning online video lessons

9 Video Lessons

- Form 4 Mathematics: Three dimensional geometry questions and answers
Form 4 Mathematics: Three dimensional geometry questions and answers

26 Video Lessons

- Form 4 Geography online lessons on industry
This session contains Form 4 Geography online lessons on industry. The content is in video format.

31 Video Lessons

- Form 4 Geography online lessons on energy
Form 4 Geography online lessons on energy. The lessons are in video format.

53 Video Lessons

- Form 4 CRE lessons on Christian approach to wealth, poverty and money
Form 4 CRE lessons on Christian approach to wealth, poverty and money

15 Video Lessons

- Form 4 CRE online lessons on Christian approach to leisure
Form 4 CRE online lessons on Christian approach to leisure

19 Video Lessons

- Form 4 CRE online lessons on Christian approach to work
Form 4 CRE online lessons on Christian approach to work

23 Video Lessons

- Form 4 Business studies lessons and notes on international trade
Form 4 Business studies lessons and notes on international trade

37 Video Lessons

- Form 4 online business studies lessons on inflation
Form 4 online business studies lessons on inflation

14 Video Lessons

- Form 4 Business Studies online lessons on public finance
Form 4 Business Studies online lessons on public finance.

23 Video Lessons

- Form 4 Geography wildlife and tourism online video lessons
Form 4 Geography wildlife and tourism online video lessons

39 Video Lessons

- Form 4 Geography online lessons on fishing
Form 4 Geography online lessons on fishing

50 Video Lessons

- Form 4 mathematics online lessons on longitudes and latitudes
Form 4 mathematics online lessons on longitudes and latitudes

9 Video Lessons

- Form 4 Geography online lessons on land reclamation and rehabilitation
Form 4 Geography online lessons on land reclamation and rehabilitation

57 Video Lessons

- Form 4 Geography online lessons on statistical methods
Form 4 Geography online lessons on statistical methods

24 Video Lessons

- Form 4 CRE online lessons on the family
Form 4 CRE online lessons on the family: 1. Definition and types of families. 2. Traditional African understanding of the family. 3. Christian understanding of the family. 4. Responsible parenthood. 5. Traditional African and Christian responses to problems related to family life.

24 Video Lessons

- Form 4 CRE lessons on marriage
Form 4 CRE lessons on marriage: 1. The meaning of marriage. 2. Traditional African understanding of marriage 3. Christian teaching on marriage. 4. Secular approach to marriage. 5. Preparation for marriage (i) Traditional African practice (ii) The Christian practice ....

21 Video Lessons

- Form 4 CRE online lessons on responsible sexual behaviour
Form 4 CRE online lessons on responsible sexual behaviour

25 Video Lessons

- Form 4 CRE lessons on human sexuality
Form 4 CRE lessons on human sexuality. The lessons are in video format.

5 Video Lessons

- Form 4 CRE online lessons: Introduction to Christian ethics
Form 4 CRE online lessons: Introduction to Christian ethics

21 Video Lessons

- Form 4 Chemistry online lessons on acids, bases and salts
Form 4 Chemistry online lessons on acids, bases and salts

35 Video Lessons

- Form 4 Mathematics three dimensional geometry video lessons
Form 4 Mathematics three dimensional geometry video lessons

5 Video Lessons