THE PRESIDENT’S OFFICE MINISTRY OF EDUCATION, REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT
COMPETENCY BASED SECONDARY EXAMINATION SERIES
BASIC MATHEMATICS FORM TWO
INSTRUCTIONS
(b) Find the value of n if
(b)What is the product of LCM and GCF of 16,24 and 36
(b)Rationalize the denominator to the simplest form
(b)By using elimination method solve for x and y in
4y – 41=-14x
6x – 30 – 10y
(b)By using mathematical table evaluate
(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)?
Marks in % | 25 | 35 | 45 | 50 | 65 | 75 | 80 | 85 |
Numbers of students | 14 | 18 | 11 | 10 | 5 | 14 | 2 | 6 |
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.
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 | ||
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INSTRUCTIONS
ANSWER ALL QUESTIONS
(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
(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
(b) Simplify by rationalizing the denominator of
(b) Find the solution of the following inequality and locate the
solution on the number line
│4x│≤ 3
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.
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
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.
(b) Write the sum of and
(c) Estimate the value of 349 x 18.41
(ii) The selling price
(b) Solve the quadratic equation by using a quadratic formula
10x 25
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
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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:-
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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LEARNINGHUBTZ.CO.TZFORM TWO MATHEMATICS MODAL SERIES 7