# Form 3 Mathematics Revision Questions and Answers Set 1

Form 3 Mathematics Revision Questions and Answers Set 1

Lessons (**60**) * SHARE*

- 1.
A straight line, L, passes through the point with coordinates (4, 7) and is perpendicular to the line with equation y = 2x + 3. Find an equation of the straight line L.

3m 49s - 2.
Simplify completely
#(3x^2 +9x)/(x^2 - 9)#

3m 9s - 3.
Find the value of c in the equation
#7-(5c)/(9)=32#

2m 18s - 4.
Make t the subject of the formula.
#S = root(3) ((3Q-4t)/(R+t))#

4m 21s - 5.
Three businessmen Njoroge, Mwaura and Kimani contributed a total of sh. 82, 250 to start a business. The ratio of the contribution of Njoroge to Mwaura was 2:3 and that of Mwaura to Kimani was 4:5. How much did Kimani contribute?

3m 31s - 6.
Coordinates of points A and B are (2, -3) and (6, 5) respectively. Given that N is a point on AB such that the ratio AN: NB = 1:3, find the coordinates of point N.

5m 55s - 7.
Find the integral values of x which satisfy the compound inequality
#2(2 - x) lt4x – 9lt x + 11#

5m 7s - 8.
A volume of 0.05 litres of water is poured into an empty measuring cylinder. A piece of metal with mass 135g is put into the cylinder. If the density of the metal is 9600 kg/#m^3# find the new reading of the cylinder.

5m 19s - 9.
A newspaper vendor has 30 bank notes with a total value of Sh. 900, if the notes are either in Sh. 20 or Sh. 50 denominations, how many of each does he have?

5m 12s - 10.
A trouser whose marked price is Kshs 800 is sold to a customer after allowing him a discount of 13%. If the trader makes a profit of 20%, find how much the trader paid for the trouser.

3m 13s - 11.
(a) Find the inverse of the matrix. #[[1,2],[2,2]]#
(b)Hence solve the simultaneous equations.
x + 2y = 21
2x = 34 – 2y

8m 9s - 12.
The length of a rectangle was increased by 30% while its width decreased by 15%. Determine the percentage change in the area of the rectangle.

4m 47s - 13.
Without using tables, solve the equation.
#Log_ 10 (10x + 50) – log_10 (x - 4) = 2#

3m 28s - 14.
The sum of interior angles of a triangle is given by #(10x -2y)^0#while that of a hexagon is given by
#(30x + 24y)^0# .Calculate the values of x and y

3m 51s - 15.
The third term and the sixth term of a geometric series are #3(1)/(3)# and #11(1)/(4)# respectively. Calculate the
(a) Common ratio
(b) First term

4m 53s - 16.
The hire purchase price of a machine is sh 36750. If 10% is paid as deposit and the rest of the money is spread over 15 equal monthly instalments, find the amount payable every month.

2m 51s - 17.
Solve for ?? in the equation
#125^(-x) times 5^(2(x-2)) = 25^(x+2)#

3m 1s - 18.
A rhombus ABCD with its side 15cm and diagonal AC = 24cm. Find the other diagonal BD

3m 3s - 19.
The length of three wires are 36m, 48m and 72m. Pieces of wire of equal lengths were cut from the three wires, calculate the least number of pieces obtained.

3m 10s - 20.
A two-digit number is such that the sum of the digits is 14. When the digits are reversed its value is 36 more than the original number. Find the original number.

4m 32s - 21.
A rectangular card measures 5.3 cm by 2.5 cm. find
a) The absolute error in the area of the card
b).The relative error in the area of the card

6m 50s - 22.
Given #8.6 cm div3.4cm# Find:
a).The absolute error in the quotient.
b).The relative error in the quotient.

7m 4s - 23.
Find AC in the figure below, if AB= 4 cm, BC = 6 cm and #ABC =60^0#

2m 9s - 24.
Simplify the following.
i).#3 sqrt2 + 5sqrt2#
ii).#8 sqrt5 - 2sqrt5#

2m 32s - 25.
Simplify
#log_6 9 + log_6 8 - log_6 2#

2m 0s - 26.
Simplify
2log 5 + 2log 2

1m 29s - 27.
Solve for x
#4^x = 12#

1m 16s - 28.
Solve for x:
#log_5 (x+1) +log_5 (x-3) = 1#

3m 34s - 29.
Franny invests ksh 16,000 in a savings account. She earns a simple interest rate of 14%, paid annually on her investment. She intends to hold the investment for 1 year. Determine the future value of the investment at maturity.

1m 49s - 30.
Calculate the rate of interest if sh 4500 earns sh 500 simple interest after 1 year.

1m 22s - 31.
Esha invested a certain amount of money in a bank which paid 12% p.a. simple interest. After 5 years, his total savings were sh 5600.Determine the amount of money he invested initially.

3m 21s - 32.
Find the amount accrued if ksh. 1000 is invested for 2 years at 10% per annum compound interest.

1m 8s - 33.
Find the amount accrued when ksh. 6250 is invested for 2 years at 4% per annum compound interest.

1m 23s - 34.
An iron box cost ksh 500 and every year it depreciates by 10% of its value at the beginning of that that year. What will its value be after 4 years?

1m 41s - 35.
A minibus cost sh 400000.Due to wear and tear, it depreciates in value by 2 % every month. Find its value after one year

2m 16s - 36.
Aching wants to buy a sewing machine on hire purchase. It has a cash price of ksh 7500.She can pay a cash price or make a down payment of sh 2250 and 15 monthly instalments of sh.550 each. How much interest does she pay under the instalment plan?

2m 0s - 37.
The initial cost of a ranch is sh.5000, 000.At the end of each year, the land value increases by 2%.What will be the value of the ranch at the end of 3 years?

1m 22s - 38.
Find the time in which ksh. 15625 will amount to ksh. 17576 at 4% compound interest.

3m 43s - 39.
Find the compound interest on ksh.5000 at 20% per annum for 1.5 years compound half yearly.

2m 59s - 40.
Find compound interest on ksh. 47145 at 12% per annum for 6 months, compounded quarterly.

2m 21s - 41.
Evaluate without using calculator
#((1 3/7- 5/8) times 2/3)/(3/4+ 1 5/7 ÷ 4/7 of 2 1/3 )#

2m 51s - 42.
Find all integral values of x which satisfy the inequalities.
#2(2 – x) lt 4x – 9 ltx +11#

2m 51s - 43.
Simplify the expression
#(p^2-4m^2)/(2m^2-7mp+ 3p^2 )#

4m 0s - 44.
Solve the logarithmic equation below for the value of x
#Log_10 (3x + 1) - Log_10 (x – 2) = Log_10 10#

1m 39s - 45.
Solve using completing square method
#4x^2 – 12x + 9 = 0#

1m 44s - 46.
Calculate the compound interest on sh.9,000 for 2 years at 12.5% p.a compounded half yearly.

3m 6s - 47.
Simplify
#(125^(2/(3 )) ÷3^4)/(243^(-2/(3 )) )#

3m 44s - 48.
Determine the equation of the line through the point A(5,3) and parallel to the line y=2x+3

1m 37s - 49.
Without using a calculator, evaluate:
#(2 1/2-1 1/5 of 2)/(1/4-(-1/4)^3 )#

2m 38s - 50.
Without using mathematical tables or calculators, evaluate:
#(0.38times0.23times2.7)/(0.114times0.0575)#

2m 34s - 51.
Make M the subject of the formulae
#K = ((MV^2)/(X+M))#

1m 38s - 52.
A quantity R varies partly as X and partly inversely as y. Find the equation connecting R, X and y, when X = 1, y = 2and R = 4, when X = 3, y = 2 and R = 10.

5m 15s - 53.
Solve for x in
2 log x + log 6 = 2 + log 9

2m 48s - 54.
There are three athletes A, B and C in a 100m race. A is twice as likely to win as B, while B is twice as likely to win as C. Find the probability that:-
(a)A does not win the 100m race.
(b)Either B or C wins the 100m race.

3m 31s - 55.
Given that (5m – 2n): (2m – n) = 7:5. Find the ratio m: n

3m 25s - 56.
Indian type A of rice costs ksh. 70 per kilogram while Egyptian type B of rice costs ksh 84 per kilogram. A shopkeeper mixes the two types of rice in the ratio 4:3 respectively. At what price must he sell the mixture to make a profit of 26% per kilogram?

3m 11s - 57.
A bus and a matatu starts from Nairobi to Kisii via Narok at the same time making a distance of 280km. The matatu averages 20km/h faster than the bus and reaches there 1 hour 36minutes earlier. Determine the speed of the bus.

7m 57s - 58.
Evaluate without using a calculator.
#(5/6 of (4 1/3- 3 5/6))/(5/12 times 3/25 + 1 5/9 ÷ 2 1/3)#

5m 27s - 59.
The interior angle of a regular polygon is #108^0#. How many sides has the polygon?

2m 14s - 60.
A salesman is paid a salary of Sh. 10,000 per month. He is also paid a commission on sales above Sh. 100,000. In one month he sold goods worth Sh. 500,000. If his total earnings that month was Sh. 56,000. Calculate the rate of commission.

3m 46s

### Related Content

- Form 3 business studies revision questions and answers set 4
Form 3 business studies revision questions and answers set 4

26 Video Lessons

- Form 3 business studies revision questions and answers set 3
Form 3 business studies revision questions and answers set 3

21 Video Lessons

- Form 3 business studies revision questions and answers set 2
Form 3 business studies revision questions and answers set 2

22 Video Lessons

- Form 3 business studies revision questions and answers set 1
Form 3 business studies revision questions and answers set 1

25 Video Lessons

- Form 3 Physics Online Lessons on Refraction of Light
Form 3 Physics Online Video Lessons on Refraction of Light.

7 Video Lessons

- Form 3 Physics Linear Motion Online Lessons
Form 3 Physics Linear Motion Online Lessons. The lessons are in video format

5 Video Lessons

- Form 3 Chemistry: The mole online video lessons
Form 3 Chemistry: The mole online video lessons

22 Video Lessons

- Form 3 Geography External Land Forming Processes Online Lessons
Form 3 Geography External Land Forming Processes Online Lessons

15 Video Lessons

- Form 3 Geography online lessons on map work
Form 3 Geography online lessons on map work. All the lessons have been well explained in video format. The lesson pdf file are also available.

26 Video Lessons

- Form 3 Geography: Statistical Methods online lessons
Form 3 Geography: Statistical Methods online lessons

14 Video Lessons

- Form 3 Biology video questions and answers on reproduction in plants
Form 3 Biology video questions and answers on reproduction in plants

27 Video Lessons

- Form 3 Biology questions and answers on reproduction in animals
Form 3 Biology reproduction in animals questions and answers

26 Video Lessons

- Form 3 History: Emergence and growth of nationalism in Africa online lessons
Form 3 History: Emergence and growth of nationalism in Africa online lessons

25 Video Lessons

- Form 3 Mathematics online video lessons on circles, chords and tangents
Form 3 Mathematics online video lessons on circles, chords and tangents

2 Video Lessons

- Form 3 Mathematics: Vectors II Questions and Answers
Form 3 Mathematics: Vectors II Questions and Answers

27 Video Lessons

- Form 3 Business Studies: Chain of distribution online lessons
Form 3 Business Studies: Chain of distribution online lessons

15 Video Lessons

- Form 3 Business Studies lessons on product markets
Form 3 Business Studies lessons on product markets

9 Video Lessons

- Form 3 Business Studies: Size and location of a firm lessons
Form 3 Business Studies: Size and location of a firm lessons

17 Video Lessons

- Form 3 Business Studies: Demand and supply online lessons
Form 3 Business Studies: Demand and supply online lessons

13 Video Lessons

- Form 3 Mathematics: Circles, Chords and Tangents Questions and Answers
Form 3 Mathematics: Circles, Chords and Tangents Questions and Answers

23 Video Lessons

- Political Developments and the Struggle for Independence in Kenya (1919-1963)
Form 3 History and Government Lessons: Political Developments and the Struggle for Independence in Kenya (1919-1963)

62 Video Lessons

- Social and economic developments during the colonial period in Kenya
Form 3 History and Government notes on social and economic developments during the colonial period in Kenya

32 Video Lessons

- Form 3 History and Government Lessons on Colonial Administration
Form 3 History and Government Lessons on Colonial Administration

33 Video Lessons

- Form 3 History and Government Lessons: Establishment of Colonial Rule in Kenya
Form 3 History and Government Lessons: Establishment of Colonial Rule in Kenya

52 Video Lessons

- Form 3 Mathematics: Commercial arithmetic II online lessons
Form 3 Mathematics: Commercial arithmetic II online lessons

7 Video Lessons

- Form 3 History: European Invasion and the Process of Colonization of Africa
Form 3 History and Government: European Invasion and the Process of Colonization of Africa online lessons

44 Video Lessons

- Form 3 Physics Wave II Questions and Answers
Form 3 Physics Wave II Questions and Answers. In this session, we are going to solve form 3 physics wave II questions. Answers are in video format.

25 Video Lessons

- Form 3 Mathematics online lessons on further logarithms
Form 3 Mathematics online lessons on further logarithms

5 Video Lessons

- Form 3 Biology growth and development questions and answers
In this online learning session, we are going to solve Form 3 biology topical questions on growth and development.

24 Video Lessons

- Form 3 Biology questions and answers on ecology
Form 3 Biology questions and answers on ecology

60 Video Lessons

- Form 3 Mathematics Trigonometry II Online Lessons
Form 3 Mathematics Trigonometry II Online Lessons

8 Video Lessons

- Form 3 Physics Refraction of Light Questions and Answers
Form 3 Physics Refraction of Light Questions and Answers. In this session we are going to work several questions on refraction of light. Answers are in video format. The questions are useful to those preparing for KCSE exams and also for revision.

25 Video Lessons

- Form 3 Physics Newton's laws of motion questions and answers
This online session contains Form 3 Physics Newton's Laws of Motion questions and answers. The questions are well explained with video solutions.

44 Video Lessons

- Form 3 Chemistry lessons on gas laws
In this session, we are going to learn about gas law, which is a Form 3 chemistry topic. The lessons are in video format. Pdf notes for the lesson are also included.

5 Video Lessons

- Form 3 Mathematics lessons on surds
In this session, we are going to learn about surds, a from 3 mathematics topic.

6 Video Lessons

- Form 3 Chemistry Chlorine and Its Compounds Questions and Answers
Form 3 Chemistry: Chlorine and its compounds topical questions and answers. All answers are in video format.

38 Video Lessons

- Form 3 Biology Classification II Questions and Answers
In this session, several biology questions on classification II will be solved. The questions are exam standard and valuable to those preparing for KCSE as well as class exams.

31 Video Lessons

- Chemistry Form 3 Sulphur and its Compounds Questions and Answers
In this session, we are going to solve several questions on Sulphur and its compounds.

34 Video Lessons

- Form 3 Physics Questions and Answers on Linear Motion
In this session, several Form 3 Physics questions on linear motion will be solved. Answers are available in video format.

31 Video Lessons

- Form 3 Physics Current Electricity II Questions and Answers
In this course, we are going to solve several form 3 Physics questions on current electricity II. Answers are available in video format.

35 Video Lessons

- Form 3 Nitrogen and Its Compounds Questions and Answers
In this session, we are going to solve several Form 3 Nitrogen and Its Compounds Questions. Answers are available in video format.

46 Video Lessons

- Form 3 Mathematics Angle Properties of a Circle Questions and Answers
In these online lessons, we are going to solve several topical questions on angle properties of a circle, which is a form 3 mathematics topic.

29 Video Lessons

- Form 3 Chemistry: Organic Chemistry I Video Questions and Answers
Form 3 Chemistry: Organic Chemistry I Video Topical Questions and Answers. In this session, we are going to solve several questions in organic chemistry I, which is a Form 3 chemistry topic.

37 Video Lessons

- Form 3 Equations of a Circle Topical Questions and Video Answers
Graphical Determination of Laws: Form 3 Mathematics Equations of a Circle Topical Questions and Video Answers

10 Video Lessons

- Form 3 Mathematics Approximations and Errors Questions and Answers
Form 3 Mathematics Approximations and Errors Questions and Answers. We are going to solve several exam standard questions on approximations and errors. All answers are in video format.

16 Video Lessons

- Form 3 Mathematics Compound Proportions and Rates of Work Questions and Answers
Form 3 Compound Proportions and Rates of Work Questions and Answers. We are going to solve several questions on compound proportions and rates of work. The answers are available in video format.

28 Video Lessons

- Form 3 Mathematics Questions and Answers on Binomial Expansions
Form 3 Mathematics Binomial Expansions Questions and Answers. In this course, we are going to solve several questions on binomial expansion, which is a Form 3 Mathematics topic.

25 Video Lessons

- Form 3 Probability Video Questions and Answers
Form 3 Probability Video Questions and Answers. Revise online using video questions and answers on probability.

30 Video Lessons

- Form 3 Mathematics Logarithmic Notations Questions and Answers
Form 3 Mathematics Logarithmic Notations Questions and Answers. All the questions have well explained video solutions.

17 Video Lessons

- Form 3 Questions and Answers on Sequence and Series
Form 3 Questions and Answers on Sequence and Series. In this course, we are going to solve a number of mathematics form 3 questions on arithmetic progression and geometric progression.

32 Video Lessons