|PAPER 10-QUESTIONS

KILOLO DISTRICT COUNCIL

NYANZWA SECONDARY SCHOOL

MID-TERM TEST

BASIC MATHEMATICS

FORM III

041 Time Allowed: 3 Hours Thursday, 27 March 2025

INSTRUCTIONS

This paper consists of sections A and B with a total of 14 questions.
Answer ALL questions.
Each question in section A carries six (6) marks while each question in section B carries ten (10) marks.
All necessary working and answers for each question must be shown clearly.
NECTA mathematical tables and non-programmable calculators may be used.
All communication devices and any unauthorized materials are not allowed in the examination room.
Write your name on every page of your answer sheet(s) provided
All writings must be in blue or black ink EXCEPT drawings which must be in a sharp pencil.

SECTION A (60 MARKS)

Answer ALL questions in this section.

(a) Equal squares which are as large as possible are drawn on a rectangular board measuring 54 cm by 78 cm. Find the size of each square.
1. In a class of 40 students, 17 students are boys and the rest are girls. Determine; (i) the percentage of girls and the percentage of boys

√

(a) Expression a form a + b c, where a, b and c are integers.
1. A line is defined by a logarithmic equation 3log₃x + 4 = log₃24. Without using a mathematical table or calculator, find the value of x.
(a) In aclas of 100 students, 45 students prefer Music subject, 40 students prefer Theatre Art subject and 5 students prefer both subjects. Find the number of students who prefer neither of the two subjects by using formulas.
1. Draw a Venn diagram and show by shading the region representing each of the following:

(i)A^′∪ B (ii) B^′∩ A^′(iii) A ∩ B (iv)A ∪ B (v)U ∪ (A^′∩ B)

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