FORM TWO TERMINAL EXAMINATION

BASIC MATHEMATICS

Time: 2:30 Hours Year : 2022

Instructions

1. This paper consists of ten (10) compulsory questions.

2. Show clearly all the working and answers in the space provided.

3. All writing must be in blue or black ink except drawings which must be in pencil.

4. NECTA mathematical tables, geometric instruments and graph papers may be used where necessary.

5. All communication devices, calculators and any unauthorized materials are not allowed in the assessment room.

6. Write your Assessment Number at the top right corner of every page.

1. (a) Calculate the sum of the GCF and LCM of 42, 45, 50.

(b)

2.(a) Convert (i)256800cm into km

(ii)0.125 into percentage

(b) Round off (i) 260743 to the nearest thousand

(ii) 0.04261 to three decimal places

3.(a) Factorize the expression

(b)

4. (a) Make A the subject of the formula

(b) If 4tanB=3 and B is an acute angle, find the value of;

1. Cos B
2. 4 tan B + sin B

(c) A straight line passes through two points A(-3, 6) and B (-6, 3). Find the gradient of the line AB

5. (a) Find (i) the largest possible number; and

(ii) The smallest possible number by changing order of the digits in 47986.

(b).Write 0.0.346 in standard form.

6. (a) In a certain office, every man owns either a car or a lorry or both 23 own lorries, 14 own cars and 5 own both lorries and cars. How many men are there in that office?

(b) .Joyce used 1/3 of her money to buy sugar, 1/4 of it to buy soap and she remained with Shs 35/=

1. How much money did she have at the beginning?
2. How much money did she use to buy sugar?

7. (a) Simplify

(b)Use a number line to find the sum of

(c)Arrange 2/5, 5/8, 48% and 0.6 in ascending order of magnitude.

(d)Decrease 160,000 by 16%

8. (a) Rationalize the denominator of

(b) Show on the number line the solution set of the inequality

9. (a)Without using Tables evaluate

(b)Given A=¹/₂ where A is an acute angle, find the value of 1 – cos² A.

10. (a) Simplify

(b)If N=2x10^-8 find the value of ¹/_N in scientific form

(c) Find the equation of a line through the point (2, -2) crossing the y-axis at the same point as the whose equation is

THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, LOCAL ADMINISTRATION AND LOCAL GOVERNMENT

MATHS- TERMINAL EXAMINATION-MAY

FORM TWO

Time 2:30 Hours                                                                   MAY 2020 

Instructions 

• This paper consists of two sections A and B. 
• Answer all questions in both sections 
• Show clearly all working for each question
• Geometrical instruments and graph paper may be used where necessary
• Use  

SECTION A (60 MARKS)

1. a) Rearrange the following in ascending order 

     b) Write 56 as the product of prime factors

2. Express  in form of  where p and q are both integers and  

3. A room of length 270cm and 150cm is to be covered with square tiles. What is the largest size of the tiles to be used if no space of the room is left to be uncovered and how many tiles will be used?

4. Round off 34.9545 correct to i) Two significant figure  ii) One decimal places

5. Write the following into 24-hours system  i) 03: 15 Pm  ii) 01: 01Pm

6. Given  , find   i) 64*3   ii)  a if 

7. Two angles of pentagon are 58⁰ and 38⁰ and the other remaining three are in the ratio of 5:6:7. Find the largest angle.

8. Given a straight line 2y+5x+1=0, f

Fnd a) Slope  b) y-intercept   c) x-intercept

9. Two supplementary angles differ by 12⁰. Find the angles.

10. Add the following

 11. Anna is two years older than betty. Last year, Anna was two times as old as Betty. What is their age?

12. Make r-subject of formula in the following  

13. Express in the form of 

14. Use method of difference of two squares to evaluate  the following

        i)   ii) 0.985² – 0.015²

15. Given log2=0.3010 and log7=0.8451, without using logarithm table evaluate:

     a) log1.25   b) log 3.5

16. Factorize the following expression

       a)15t²-14t-8=0        b) (2c+3)² – c²

18.Simplifythe following

 a) 

 b)

19. Expand the following

 a) [y- 3] [ + y ] b) (6n - )² 

20. For value of P which makes the following equations perfect square

(i) x² – Px +16=0   

(ii) x² - x + P=0

SECTION B (40 MARKS)

21. a) From the quadratic equation  show that 

      b) By using general formula of quadratic equation solve the following equation 

22. The figure ABCD below is rectangle with sides as shown where C1 and C2 are two quarter circles inside it. 

Find:

a) Value x and y shown in the figure

b) Perimeter of the rectangle

c)Area of the rectangle ABCD

d) Area of the shaded region

 23.a)  A rope is tired at the top of the flagpole and the other end of the rope is fixed on a point 36m from the base of the flagpole. If the flag pole is 15m high, what is the length of the rope?

 b) In the figure below find the length of PQ and PS if QR=8cm, RQ=12cm and PR=17cm.

 24. A farmer sold a quarter of his maize harvest and give one third of the remaining to his relatives. If the farmer remained with 36 bags of maize, find:- 

a) How many bags of maize did the farmer harvest. 

b) How many bags of maize did the farmer sold.

25. a) By using logarithm tables, evaluate  

      b) Evaluate the following without using logarithm tables:

(i)  

(ii)  

(iii)