BASIC MATHEMATICS TERMINAL EXAMINATIONS FORM IV [PDF]

PRESIDENT’S OFFICE

REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT

MARY WILSON GIRLS’ SECONDARY SCHOOL

BASIC MATHEMATICS TERMINAL EXAMINATIONS

FORM 4 -2019

Duration: 02:30 Hours Friday , 14^th June, 2019

INSTRUCTIONS

This paper consists of section A and B.
Answer all questions in section A and any four (4) questions from section B.
Mathematical tables and Geographical instruments may be used whenever it is necessary.
Whenever it is necessary use π = 3.14 and R= 6370 km

SECTION A: (60 Marks)

Answer all questions in this section

(a) Use mathematical table to evaluate , give your answer to the

nearest whole number.

(b) Express 3.2121… in the form a/b where a and b are integers and b 0

a)    Evaluate 2
b)    Solve for x if (9^-1)
c)    Calculate the value of x in the equation (^½

(a) The universal set has n() = 23 and its two subsets A and B has n(A) = 17 and

n(B) = 8. If n(AB) = 3, determine n (A B)^/

(b) The Venn diagram below shows the Universal set
and its two subsets P and Q

7 3 0

2 8

3 9 4 10

P Q

List down the elements of

(i) P⋃Q (ii)
Q
(iii) P
Q
(iv) P
Q

a) Find the equation of a straight line passing through (-4, 2) and which is perpendicular

to the line whose equation is x + 2y – 4 = 0

b) Given vectors V = 3i + j and U = 6i + 8j, evaluate

–⋃ (ii) ││ ││

a) i) Prove that triangle is similar to triangle in the figure below.

B D

ii) If EC = 20cm, calculate the value of

b) Find the area of a regular polygon of sides, inscribed in a circle of radius 4cm

a) A sales man bought goods from South Africa for 30, 000/= rands. When he
arrived in Tanzania he was charged a tax of How much Tanzania shillings did he pay as tax? (Assume that 1 South Africa rand 100 Tsh).
b) The variable varies directly as square of Y and inversely as Find the value of when and, given that and when
(a) Bakari sold a phone at a price of 400Tsh and made a profit of Determine the buying price of a phone.
(b) Find a simple interest on Tsh. 50, 000/= invested for 18 Months at the rate of 15% per annum.
(a)If a sequence x, 5 , 1 – 4x is an Arithmetic sequence. Calculate the value of
(b) Find the first term and the common ratio of a geometric progression whose third term is and the 8^th term is – 96.
(a) Given that SinA
and CosB
where A is obtuse angle while B is acute angle. Find the value of Cos (A + B)
b) Find in the triangle below.

⁰

B C

(a) Factorize the expression x² + 5x + 6

b) Given the right angled triangle below. Calculate the length of hypotenuse side.

(2x + 1) cm

2x cm

C (x – 1) cm B

SECTION B (40MARKS)

Answer any four (4) questions.

11. A factory needs to employ new workers. It employ skilled and unskilled workers. The conditions are; there cannot be more than workers. There are must be at least skilled workers. Each skilled worke is paid per day and each unskilled worker is paid per day. The total wages cannot be more than

Write down inequalities in and for the above conditions.
Illustrate these inequalities, shading out the unwanted region.

Each skilled worker produces items per day and each unskilled worker produces items. Use the graph to find how many workers of each type should be hired to maximize production.

12. The table below shows the test scores of a certain class in mathematics at Juhudi Secondary School.