Section A: Attempt all questions. (55 marks).
1) Suppose a set has 4(n-3) subsets and n is the
number of elements in a set. How many elements are in this set? (3 marks) Circle
the correct answer. Number of elements:
A: 6
B: 4
C: 3
D: 1
Answer: 6 (A)
2) Find the image of the function fx =(-x2+3),
defined on the following domain:
(-2, -1, 0, 1, 2). 3 Marks
Circle the corrected answer
A: {1, 2, 3, 4, 7}
B: {1, 2, 3}
C: {3, 4, 7}
D: {-1, 2, 3}
Answer: B
3) An arc subtends an angle of 135° at the centre of a
circle of radius 21cm. (Use 22 7 p=).
Find the length of the given arc and circle the letter that corresponds to the
best answer:
A: 24.75 cm
B: 49.50 cm
C: 82.50 cm
D: 132cm
The length of this arc is ………………
Answer: 49.50 cm (B)
4) Work out and fill in the missing numeral.
(1010111)2 + (1101 )2= (………. )
Answer: 1100100
5. You are given 
,
a. Simplify completely 
and circle its simplified form.
A. 
B. 
C. 
D. 
The corrected answer is : C. 
b) Calculate 
) using the simplified form
of . Circle the correct answer.
A. 
B. 
C. 
= 7
D. 
The corrected answer is D: 3
6) In regard to quadratic equation, state whether each of
the following expressions is true or
false.
A. 3x2 + 9√x – 7= 0
B. (x+2)2 = 2(x+3)
C. x2 + 3x = -(1-3x)2
D. (x+2) (x-1)= x2 -2x-3
E. x3- x2 +2x+1=(x+1)3
The corrected answers are:
a) False
b) Tue
c) True
d) False
e) True
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7) List three types of correlation in statistics. (3 marks)
Answers:
- Positive
- Negative
- Zero
8) Solve the following pair of simultaneous equations: 0.6 0.1 1 x y − =− and 4 0.5 2 x y − − = Circle the correct answer. 3 Marks
Solution is:
A: {(7,52)}
B: {(-1,4)}
C.: {(4,-1)}
D: {(1,-4)}
Answer:
The correct answer is (1,4) (B).
9) If the and y-intercept of a straight line are 
respectively, then find the equation of the
straight line. Circle the correct answer. 4 Marks
A: 9x + 8y-6=0
B: 9x+8y+6=0
C: 8x+9y-6=0
D: 9x-8y-6=0
The correct answer is A 9x + 8y - 6 = 0
10) Circle the correct answer: the domain of definition of
Answer: Excluding 0 and 2/3 (C)
11) Points A, B, and C of a number line are such that 
= -5 and 
=4
A) 
=………….
B) 
=…………..
C) 
=…………
Answers:
a) 5
b) 0
c) 9
12) The lengths of sides of four triangles are shown below.
For each one, state if it is right-angled (YES) or not (NO).
A) AB=24 cm, BC=10 cm and AC=26 cm.
B) DE=6 cm, EF=12 cm and FD=13 cm.
C) JK=16 mm, KL=34 mm and LJ=30 mm.
D) MN=25 cm, NO=20 cm and OM=15 cm.
Answers:
a) YES
b) NO
c) NO
d) YES
13) A rectangular based fish aquarium has a base measuring
62 cm by 130 cm. The amount of glass needed to construct the aquarium is 23,420
cm2. Find the height of the aquarium and circle the correct answer.
A: 80 cm
B: 40 cm
C: 20 m
D: 10 cm
Answers:
Answer: 40 cm (B)
14) For a), b) and c) below, circle the correct answers. If
a card is drawn from a pack of 52 playing cards, the probability that it is:
a) Red is:
A: 
B: 
C: 
D: 1
Answers:
The correct answer is C:
B. Not a club, is:
A: 0
B: 1
C:
D: 
Answers:
The correct answers is D:
c) Green is:
A: 0
B: 
C: 1
D: 1.1
Answers:
The correct answer is A: 0
15) The median of the following observations: 8, 11, 13, 15,
1 x+ , 3 x+ , 30, 35, 40, 43 arranged in ascending order is 22. Find the value
of x.
Answer: x = 20
Section B: Attempt any three questions only(45 marks).
16) a) SAVESON invested 80,000 Frw for 3 years in a savings
account. He gets a 5% per annum compound interest. How much money will SAVESON
have in the savings account at the end of 3 years?
Answer:
SAVESON will have 92,610
Frw at the end of 3 years.
b) 40 people consume 200 kg of rice in 30 days. In how many
days will 30 people consume 500 kg of rice?
Answers:
It will take 100 days for 30 people to consume 500 kg
of rice.
17)Given that P (x)= x3 -x2 -14x+24
=(x-24) (ax2 +bx + c)
a) Determine the values of a, b and c.
Answer:
a = 1
b = 1
c = -12
Now the equation is P(x) = (x - 2)(x2 + x - 12)
b. Factorize completely (P x).
Now we need to factor the quadratic part: x2 + x
- 12.
We look for two numbers that multiply to -12 and add to 1.
Those numbers are 4 and -3.
So, x2 + x - 12 factors into (x + 4) (x - 3).
c) Solve P (X)= 0.
To solve the equation, we set each factor to zero:
- x - 2
= 0→x = 2
- x + 4
= 0 →x = -4
- x - 3
= 0→x = 3
Solution set: x € {-4, 2, 3}
A: x = 6 or x = -2
B: Final Answer: x=2.25 (or 
)
C: There is no value of x for which u = u
a. 2x - 7 = 0→x = 3.5
b. x + 1 = 0→x = -1
The 20th question is not answered, since it requires to draw and we can't draw right now but our team is working on it. Also you can download PDF document for only 200 FRW
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