SS2 Live Exam Maths | Franej Educational Centre

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Question 1 : Evaluate 2 + 2/x – (x+4)/2

(a) (2+x^2)/2

(b) (8-x^2)/2

(c) (4-x^2)/2x

(d) (8-〖4-x〗^2)/2x
Question 2 : A bag contains 3 black, 4 yellow and 7 red balls. A ball is picked from the bag at random what is the probability that it is white

(a) 1

(b) 7/14

(c) ¾

(d) 0
Question 3 : If 2 balls are drawn from a bag containing 5 blue and 10 red balls without replacement, Find the probability that the balls drawn are blue

(a) 2/21

(b) 8/21

(c) 2/3

(d) 13/21
Question 4 : A boy flies a kite with a string of length 50m. If the string makes an angle of 30° with the ground. What is the height of the kite above the ground.

(a) 25m

(b) 45m

(c) 56m

(d) 100m
Question 5 : A ladder 16m long leans against an electric pole, if the ladder makes an angle of 65° with the ground how far up the electric pole does its top reach?

(a) 6.8m

(b) 14.5m

(c) 17.7m

(d) 34.3m
Question 6 : Solve the equation 2/(x-1) - 3/(x+1) = 1

(a) 2 OR – 3

(b) 2 OR 3

(c) -2 OR 3

(d) - 2 OR -3
Question 7 : Simplify (2x+1)/2 - (3x-7)/9 - 5/18

(a) 2x + 1

(b) (2x+3)/3

(c) (2x+18)/3

(d) 2x + 6
Question 8 : Evaluate ((a+b)/(a-b))^3 for a = -7, b = 3

(a) -8/125

(b) -4/10

(c) 8/125

(d) 2/5
Question 9 : Find the value if x for which the expression (2x^2+9x-11)/(6-4x) is zero

(a) 1 OR – 11/2

(b) -1 OR 11/2

(c) – 1 OR – 11/2

(d) 1 OR 2/11
Question 10 : ABC is a triangle in which: BAC =75°, /AB/ =3cm and /AC/ = 4cm. Calculate /BC/ correct to 1 decimal place

(a) 4.3cm

(b) 3.9cm

(c) 7.0cm

(d) 4.0cm
Question 11 : A man of the top of a bulding 25m high looks down at an object 30m away form the foot of the building. Calculate the angle of depression of the object from the man

(a) 39.8°

(b) 70.1°

(c) 19.9°

(d) 79.6°
Question 12 : A boat can be sighted at the sea 71.5m from the foot of a cliff which is 26m high. Calculate the angle of depression of the boat from the top of the cliff

(a) 21°

(b) 20°

(c) 19°

(d) 14°
Question 13 : If x = 3, y = 2 and z = 4, what is the value of 3x^2 – 2y + Z ?

(a) 17

(b) 27

(c) 35

(d) 71
Question 14 : A fair die is rolled once. What is the probability if obtaining either a 2 or a 5?

(a) 1/36

(b) 1/6

(c) 1/3

(d)2/3
Question 15 : Simplify 3/(x+2) - 2/(2x-3)

(a) (4x-1)/((x-2)(x-3))

(b) (4x-5)/((x+2)(x-3))

(c) (4x-11)/((x+2)(2x-3))

(d) (4x-13)/((x+2)(2x-3))
Question 16 : For what value if x is (x^2+1)/(x^2-1) not defined

(a) x = - 1 OR 1

(b) x = ½ OR 0

(c) x = ½ OR 2

(d) x – 0 OR – 2
Question 17 : Given that x = 2 and y = - ¼ evaluate (x^2 y-2xy)/5

(a) 0

(b) 1/5

(c) 1

(d) 2
Question 18 : Evaluate (x^2+x-2)/(〖2x〗^2+ x-3) when x = -1

(a) 2

(b) 1

(c) -1/2

(d) -1
Question 19 : A packet contains 4 red 5 blue and 6 black identical biros. Two biro are picked at random without replacement; find the probability of picking a red and black biro

(a) 73/105

(b) 2/3

(c) 4/35

(d) 8/35
Question 20 : A ladder 6m long leans against a wall so that it makes an angle of 65° with the horizontal ground calculate how far up the wall the ladder reaches.

(a) 5. 44

(b) 50

(c) 5.3

(d)2
Question 21 : A man stands on the ground 12m away from a building which is 16m high. Find the angle of elevation of the top of the building from the man’s feet.

(a) 53.13°

(b) 48.59°

(c) 41.41°

(d) 30.96°
Question 22 : If 2 balls are drawn from a bag containing 5 blue and 10 red balls without replacement. Find the probability that the balls drawn are blue

(a) 2/21

(b) 1/9

(c) 8/21

(d) 12/21
Question 23 : If the numbers x, y, z are in the ratio 6:5:8, find (12x-9z)/(4y+z)

(a) 0

(b) 8

(c) 2

(d) 1
Question 24 : Simplify 2/3xy - 3/4yz

(a) (8z-9x)/12xyz

(b) (9x-8z)/12xyz

(c) 17xz/12xyz

(d) 14xyz
Question 25 : Find the values of x for which (2x+5)/(4x^2-9) is not defined

(a) x = 3/2 OR -3/2

(b) x = 2/3 OR -2/3

(c) x = 2/5 OR -2/5

(d) 5/2 OR 3/2
Question 26 : A die and a coin were thrown once, what is the probability of getting a head and six?

(a) 1/12

(b) 1/6

(c) ½

(d) 1
Question 27 : In a basket of fruits there are 6 grapes, 11 bananas and 13 oranges. If one fruit is chosen at random what is the probability that the fruit is either a grape or banana?

(a) 17/30

(b) 11/30

(c) 6/30

(d) 5/30
Question 28 : The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78 find the height of the tree.

(a) 282m

(b) 282

(c) 28.0

(d) 285m
Question 29 : Simplify 1/a - 2/(a+1) + 1/(a+2)

(a) 4/(a (a+1)(a+2))

(b) 2/(a (a+1)(a+2))

(c) 3.2/(a (a+1)(a+2))

(d) 3.4/(a (a+1) )
Question 30 : Solve the equation (4r-3)/(6r+1) = (2r-1)/(a3r+4)

(a) 1

(b) -1

(c) 11

(d) 0
Question 31 : Simplify (p^2+ Pq-6p^2)/(p^2-3pq+〖2q〗^2 )

(a) (P+ 3q)/(P-q)

(b) P + 3q

(c) (P+3q)/(P+q)

(d) (P + 3q)^2
Question 32 : Two dice are thrown at the same time. What is the probability that the sum will be 7 OR 11?

(a) 2/9

(b) 1/9

(c) 4/9

(d) 1/3
Question 33 : A class has 22 boys and 18 girls while another has 20 boys and 20 girls. A student is chosen at random from each class. Find the probability that both are boys.

(a) 31/4

(b) 11/20

(c) 11/40

(d) 9/40
Question 34 : For what value of x is the expression (2x-2)/((x-2)(x+3)) not defined?

(a) x= 4 Or -2

(b) x = 2 OR -3

(c) X=3 OR -2

(d) X = 2 OR -4
Question 35 : Simplify t^2/12 -t/3 + 1/3

(a) 3( t-2)2

(b) 1/12 3 (t-2)2

(c) (t-2)/12

(d) 1/12 (t-2)2
Question 36 : Simplify 1/(x-1) - 2/(x^2-1)

(a) 1/(x-1)

(b) 1/(x+1)

(c) (-1)/(x^2-1)

(d) 1/(x^2+1)
Question 37 : Simplify (x-6)/4 – (x-3)/6

(a) (x-8)/12

(b) (x-6)/12

(c) (x-18)/24

(d) (x-6)/24
Question 38 : If point A, is 20m away from the foot of an electric pole of height 15m, calculate the angle of elevation of the top of the pole from point A.

(a) 18.43°

(b) 36.87°

(c) 51.34°

(d) 75.25°
Question 39 : A fair die is rolled once. What is the probability of obtaining 2 or 6?

(a) 1/36

(b) 1/6

(c) 1/3
Question 40 : What is the probability of winning the first prize by Dile who purchased 20 tickets in a lottery when 1,000 tickets were sold?

(a) 1/100

(b) 1/50

(c) 1/25

(d) 1/8