MATHEMATICS FORM TWO NEW NECTA FORMAT

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

COMPETENCY BASED SECONDARY EXAMINATION SERIES

BASIC MATHEMATICS FORM TWO

INSTRUCTIONS

  1. This paper consist of ten (10 questions
  2. Answer all questions in the spaces provided
  3. Show clearly all necessary working
  4. Where necessary mathematical table may be used
  5. Cellular phones, calculators and any unauthorized materials are not all allowed in examination room
  6. Write your index number at the top right corner of every page.

 

  1. Re-arrange the digits in the number 391587 to form the largest and smallest possible numbers.
  2. (a)Given that  Find the value of T and B

(b) Find the value of n if 

  1. Find the size of the angle marked “a” in the figure below

  1. (a) Find the time in which Tsh 400,000 will earn Tsh 96,000 at the rate of 12%

(b)What is the product of LCM and GCF of 16,24 and 36

  1. (a)Given (x + 40°) and (2x + 5°) are complementary angles, find the value of x

(b)Rationalize the denominator to the simplest form 

  1. (a)Factorize the expression 6x2 – 11x + 4 by splitting the middle term

(b)By using elimination method solve for x and y in 

4y – 41=-14x

6x – 30 – 10y

  1. (a)If  Find the value of b

(b)By using mathematical table evaluate

  1. (a)The line  passed through the point A(2,y) and (5,7) have the slope of. What is the value of y?

(b)What is the centre of an enlargement, given that the image of A(3,2) under the enlargement scale factor 2 is A(6,4)?

  1. In a class of 60 students 47 are taking physics while 33 are taking mathematics. If there are 2 students who are taking neither Physics nor Mathematics and 22 are taking both Physics and mathematics
  1. Represent this information by Venn diagram.
  2. How many students are taking mathematics only?
  1. The following are the Mid-term test marks of 80 form two Mathematics students from Mtoni Secondary School

Marks in %

25

35

45

50

65

75

80

85

Numbers of students 

14

18

11

10

5

14

2

6

 

  1. Which mark was scored by largest number of students?
  2. Which mark was scored by small number of students?
  3. What is the difference between the number of students passed the test and those who failed if the pass mark was 50%
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LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS MODAL SERIES 24

LEARNING HUB TANZANIA

FORM TWO MODEL EXAMINATION

 

 NAME……………………………………………… STREAM………………..Time 2 Hours

 INSRUCTIONS

Ø  This paper consist of ten compulsory questions, each carrying ten marks Ø Showing clearly all the working and answers.

Ø  All writing must be blue or black ink except drawing which must be in pencil.

 

1.      (i) Express 2.

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LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS MODAL SERIES 9

 

 

LEARNING HUB TANZANIA

BASIC MATHEMATICS FORM TWO

   MODEL EXAMINATION PAPER

TIME:  2:30 HOURS

FOR EXAMINERS USE ONLY

QUESTION NUMBER

SCORE

EXAMINERS INITIAL

1

 

 

2

 

 

3

 

 

4

 

 

5

 

 

6

 

 

7

 

 

8

 

 

9

 

 

10

 

 

TOTAL

 

 

 

INSTRUCTIONS

  1. This paper consists of ten compulsory questions, each carrying ten marks
  2. Mathematical tables, geometrical instrument and graph paper may be used where necessary.
  3. Calculators and cellphones are not allowed in the examination room.

 

 

 

 

ANSWER ALL QUESTIONS

 

  1. (a)  Simplify 

(b) Write in expanded form (5x3y) (4x 3y)

(c) Express 0.4 as a fraction in the form of a/b where a and b are integers

and b ≠ 0

  1. (a) Given that    are equivalent fraction, Find the missing values.

(b)  In figure triangle ABC is an isosceles triangle, AC is the base, AB BC

and a line through B is drawn to bisect AC to D. Prove that triangle

ADB totriangle CDB

 

  1. (a) If log 2 0.30103  and log 3 0.47712, Find log 15

(b) Simplify by rationalizing the denominator of

  1. (a)  If  v make h the subject of the formula

(b)  Find the solution of the following inequality and locate the   

solution on the number line

       │4x│≤ 3

 

 

  1. (a)   On a map, a line segment joined two towns is 2.5cm. The  actual

distance between two towns is 20 km. Find the scale of  the map.

 

 (b)  Find m if (13m 18, given that a b b.

 

 

 

(c)  Find the ratio of the LCM of 180, 150 and 72 to the GCF of 

the same numbers.

 

  1. (a)   Find the value of x in the following quadrilateral.  Hence find 

        the other two angles of the quadrilateral

 

(b)   Find the equation of a line through points (4, 2) whose gradient is

the same as that of 3x 2y 6 0 and write the answer in form of

ax by c 0

  1. (a) Solve the following simultaneous equations

      2x  3y 5

      4x   23 5y

 

(b)  Express 0.0003075 in form of A x   where 1≤ A 10, hence

determine the value of A and n.

 

  1. (a) Use mathematical table to evaluate 

(b) Write the sum of   and  

(c)  Estimate the value of   349 x 18.41

 

  1. (a)  A damage table was sold at a loss of 20%, if the original price of the table was shs. 14,000/. Calculate    (i) The loss made

         (ii)  The selling price

 

(b) Solve the quadratic equation by using a quadratic formula

10x 25 

 

 

  1. (a) The size of an interior angle of a regular polygon is x and the size of    

Exterior angle is, find  (i) The value of x

 (ii) The number of sides of the polygon.

(b) Joseph,Juma and Jeremiah shared some money, Jeremiah got of the

money, Juma got of the remaining money. What fraction of the money

did Joseph get

 

 

1

 

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LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS MODAL SERIES 8

LEARNING HUB.TZ

BASIC MATHEMATICS EXAMINATION FORM TWO

MID - TERM

NAME…………………………………………..CLASS……………………………TIME: 3HRS

INSTRUCTIONS:-

  1. Answer all questions as instructed per each question.

SECTION A

1. a) Write the number

i) In standard form correct to 1 significant figure.

ii) In standard form correct to 1 decimal place.

 

b) Three wooden rods with lengths of 36mm, 42mm and 90mm are cut into pieces of the same 

      length. Find the greatest possible length for  these pieces if no wood is left over.

 

2. a) If is a perfect square; find the value of b and then factorize the expression by

        splitting the middle term.

  b) Solve the equation by using completing the square method.

 

3. a) If . Find the value of if.

     b) Rationalize the numerator of

 

4. If, and. Find without using tables.

i)  (ii)

 

5. a) Find and in the figure below.

 

 

 

 

 

 

 

 

 

 

 

 

 

b) Find the circumference of a circle whose radius is 21cm.

 

 

 

6. a) Simplify without using mathematical tables:

    b) The angle of elevation of the sun is; a man is tall. How long is his shadow?.

 

7. a) If and n(PUQ) = 40.  Find the value of.

    b) In Juma’s class, 10 pupils study English but not History, 8 study History but not English and 5

         study neither History nor English. How many pupils study:

i)                    History

ii)            Either History or English given that there are only 30 pupils in Juma’s class.

 

  SECTION B

 

8. The table below represents age in years distribution of members of school choir.

 

Age (yrs

13

14

15

16

17

18

19

Frequency

2

4

1

3

6

5

3

 

a) How many students are in the school choir?

b) Which age is popular?

c) Which age has fewer students? How many are they?

d) Draw Histogram and Frequency polygon on the same axes.

 

9. a) Find the image of when reflected along the line .

    b) Find the unknown sides  and in the figure below.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

10. a) Simplify without using tables:

i)                                                                                                                                                                                                                                     

 

ii) If solve for.

b) Find the profit made when a machine costing 2,000,000/= was sold at 2,450,000/=.

 

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