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1. The Universal set, U, is given asU = {1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 11, 12, 13, 14, 15}
The sets A and B are subsets ofU such that
A = {factors of 12}
B = {multiples of 3}
(i) List the elements of the set A. (2 marks)(ii) List the
elements of the set B. (2 marks)(iii) Represent the sets A, B and U
on a Venn diagram. (4 marks)(iv) List the members of (A U B). (1
mark)
2. (a) Find(i) 4% of $75 (2 marks)(ii)
% of 39 students (3 marks)
(iii) 35% of 60 sheep (3 marks)(iv)
37.5% of 88 rotations
(3 marks)
(b) In a class of 40 students, 20% like Mathematics, 45% like
Social Studies and 30% like
English Language. Calculate
(i) The number of students who like Social Studies. (2
marks)
(ii) The number of students who do not like any of the three
subjects listed above.
(3 marks)
3. (a) If 16 women can sew 734 dresses in 6 days, how long would
it take 24 women to sewthe same number of dresses working at the
same rate? (3 marks)
(b) If 18 books cost $102.54, what is the cost of 12 of the same
books? (3 marks)
(c) If a car travels 24km in a total of 80 minutes, how long
would it have travelled in one
hour? (3 marks)
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4. (a) Give the six types of numbers and their respective
symbols. (12 marks)(b) List the three mathematical laws. (3
marks)
5. (a) The ratio of men : women at a beach was 6:7,
respectively. There were 28 women.Calculate the number of people on
the beach. (3 marks)
(b) A sum of $30.00 was divided in the ratio 2:3. Calculate the
amount of the LARGER share.
(2 marks)
(c) If the sum of $85.00 was to be shared among three persons,
with the third person getting
half and the second person getting $7.00 more than the first,
calculate the share of each
of the three persons. (4 marks)
6. Copy and complete the following table in your answer
booklets.Fraction Decimal Percentage
5/8
0.14
85
98
1.22
2/5
0.875
21
0.025
14/25
(20 marks)
7. Evaluate the following:-(a)
(e)
(b)
(f)
(c)
(g)
(d)
(h)
(22 marks)
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8.
In the diagram above,
U = {natural numbers less than 10}, and
AandB are subsets ofU.
(i) Describe set A and set B in words. (2 marks)(ii) List the
members of A B and describe the set, in words, in relation to A
and
B. (2 marks)
(iii) Determine n(A B). (1 mark)
9. In this question, use
.
(i) A piece of wire is bent to form a square of area
.Calculate:a) The length of each side of the square (1 mark)b) The
perimeter of the square (2 marks)
(ii) The same piece of wire is bent to form a
circle.Calculate:
a) The circumference of the circle (1 mark)b) The radius of the
circle (2 marks)c) The area of the circle (2 marks)
10.Calculate the exact value of the following, simplifying where
necessary.(a)
(d)
(b)
(e)
(c)
(f)
(12 marks)
Total 125 marks
