FURTHER MATHEMATICS EXAM QUESTIONS FOR SS2 SECOND TERM
SS2 FURTHER MATHEMATICS EXAM QUESTIONS SECOND TERM – EDUDELIGHT.COM
SECOND TERM EXAMINATION
Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.
SUBJECT: FURTHER MATHEMATICS
CLASS: SSS 2
TIME: 3HRS
Instruction: Answer all questions
SECTION A: Objectives
1. What is the distance between the points P(-1,3) and Q(2,-1) A. 23 B. 25 C. 5 D. 3
2. Given the equation of a circle to be x2+y2+6x-8y+10. What is the radius of the circle?
A. 10 B.23 C.15 D.
3. If the end points of a diameter of a circle are (-1,4) and (3,5), then the centre of the circle is A.(4,1) B. (2,9) C. (1,4.5) D. (2,0.5)
4. what is the mid point of the points (5,8) and (7,-6) A. (2,-14) B. (1,-7) C. (12,2) D. (6,1)
5. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A. 10/21 B. 11/21 C. 2/7 D.5/7
6. What is the probability of getting a sum of 9 from two throws of a dice?
A. 1/6 B. 1/8 C. 1/9 D. 1/12
7. Three unbiased coins are tossed. What is the probability of getting at most two heads? A. ¾ B. ¼ C. 3/8 D. 7/8
8. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? A. ½ B. ¾ C. 3/8 D. 5/16
9. In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is: A. 21/46 B. 25/117 C. 1/50
D. 3/25
10 . In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize? A. 1/10 B. 2/5 C. 2/7 D. 5/7
11. From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
A. 1/15 B. 25/57 C. 35/256 D. 1/221
12. A speaks truth in 75% of cases and B in 80% of cases. In what percentage of cases are they likely to contradict each other, narrating the same incident
A. 30% B. 35% C. 40% D. 45%
13.In how many ways can the letters in the word ELIAS be arranged ?
A. 5! B. 2!7! C. 7!/2! D. 4!
14. How many digit greater than 3000 can be form from the digit 1,2,3,4 without Repetition.
A.2 B.6 C.12 D. 24
15. In a committee of 7,every member had a handshake with one another. If no two
person shook hands with each other twice, how many possible handshakes was
recorded? A.120 B.21 C. 12 D.7!
16. Evaluate 7C4 – 5C3. A. 35 B. 20 C. 15 D. 10
17. In how many ways can 5 people be sited for a group photograph if a couple insisted on sitting next to each other? A. 48 B.120 C. 24 D. 720
18. A woman walks a distance of 5 m with a constant force of 10 N. work done by woman is A. 50 J.
B. 2 J. C. 15 J. D. 5 J.
19. The gravitational force of earth acting on a body of mass 1 kg is _______.
A. 8.9 N B. 9.8 N C. 980 N D. 1 N
20. When a force of 500N acts on a particle, the article is displaced a distance d along the line of action of the force. If the workdone in the process is 6550J, what is the value of d?
A. 30m B. 14m. C. 0.7m D. 13m
21. A car travels a distance of 15 km with a constant force of 500 N, its work done is
A. 7500000 J. B. 30 J. C. 15500 J. D. 14500 J.
22. A stone is dropped from the top of a building and reaches the ground after 2s. how high is the building? (g=9,8ms-2)
A. 20.5m B. 19.6m C. 25.3m D. 30.12m
23.A bus travels with a constant force of 5000 N and work done by bus is 2500 J, distance travelled by bus is A. 2 m. B. 0.5 m. C. 7500 m. D. 2500 m
24. An object of mass ‘m’ raised to a height ‘2h’ above ground level possesses a gravitational potential energy of A. 1⁄2 × mgh. B. mgh. C. 2mgh. D. m × g⁄2h.
25.what is the radius of a circle whose diameter has end points (-1,6) and (3,4)
A. (1,5) B.(5,1) C.(2,-1) D.(4,5)
26. A line which bisects a circle into equal segments is called
A.Diameter B.radius C. Tangent D. Normal
28. Mass of a car is 500 kg, which is lifted up by a crane at a height of 200 m, gravity is 10 N kg -1, E p of car is ? A. 1000000 J. B. 10000 J. C. 4 J. D. 25 J.
29. A boy throws a ball at an initial velocity of 26 m/s at an angle of 20o above the horizontal. How high above the projection point is the ball after 1.4 s?
A) 8.2 m B) 24 m C) 23 m D) 2.8 m
30. A bullet is fired from ground level with a speed of 150 m/s at an angle 30o above the horizontal at a location where g = 10.0 m/s2. What is the vertical component of its velocity when it is at the highest point of its trajectory?
A) 0 m/s B) 75.0 m/s C) 130 m/s D) 150 m/s
31. A particle is projected with an initial speed of 45ms-1 at an angle of elevation given by sin-1(0.5). Find the greatest height reached by the particle.
A. 34.62m B. 25.83m C. 17.12m D. 23.17m
32. What is the work done by a force of 4i+5j N through a distance 6i+3j
A.24J B. 39J C. 16J D.22J
33. Force that produces an acceleration of 1 ms−2 in a body of mass of 1 kg is called
A. slow newton B. zero newton C. one newton D. two newton
34. Acceleration that is produced by a 15N force in a mass of 8 kg will be equal to
A. 1.5 ms −2 B. 1.87 ms −2 C. 2.35 ms −2 D. 2 ms−2
35. Mass of a body (m) into acceleration (a) is equal to
A. inertia B. displacement C. momentum D. force
36. M× (d(x)/d(t)) is A. Impulse B. Force C. Work done D. Pressure
37. The distance traveled by a ball is given by x=t²-5t+7 At what time will it velocity be 5m/s
A.5secs B.3secs C.2secs D.0.25secs
38. Calculate the impulse exerted by an object of mass 5kg moving with acceleration a=t+3 at time 2secs A. 40Nm/s B.20Nm/s C. 15Nm/s D. 80Nm/s
39. Calculate the scalar product of 3i-4j+5k and 2i+7j-6k .
A. -55 B.2 C.-2 D.8
40. Which of these is not a vector quantity A. Work done B. Force C. Velocity D. Impulse
41. A committee of 9 people is to be formed from 4 teachers, 5 doctors and 6 lawyers. If 3 members of each profession are to serve in the committee, how many ways can it be done?
A. 400 ways B. 1000ways C. 600 ways D. 800ways
42. In how many ways can 6 persons be arranged on a circular table if a couple and their son insist on sitting next to each other A. 76 B.72 C.32 D.120
43. How many different numbers of six digits can be formed using digits 4,4,6,6,6,6.
A. 20 B. 35 C.25 D.15
44.What is the distance between the points P(-1,3) and Q(2,-1) A. 23 B. 25 C. 5 D. 3
45. Given the equation of a circle to be x2+y2+6x-8y+10. What is the radius of the circle?
A. 10 B.23 C.15 D.
46. If the end points of a diameter of a circle are (-1,4) and (3,5), then the centre of the circle is
- (4,1) B. (2,9) C. (1, 4.5) D. (2, 0.5)
47. From a gathering of 100 people of which 40 are men, committee of 15 is to be formed. In how many ways can this be done so that 3 men are there? A. B. .
C.
D
48. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
A. 10/21 B. 11/21 C. 2/7 D.5/7
49. What is the probability of getting a sum 9 from two throws of a dice?
A. 1/6 B. 1/8 C. 1/9 D. 1/12
50. Find the number of ways of permuting the letters of the word SHALLOW such that the 2Ls must always be together?
A. 360ways B. 840 ways C. 720ways D. 530ways
SS2 FURTHER MATHEMATICS EXAM QUESTIONS SECOND TERM – EDUDELIGHT.COM
SECTION B: THEORY
INSTRUCTION: Answer four questions only . No 1 is compulsory.
1 (a) Evaluate (31+√2) 1-√2
3log√2 + log√3 – log √6
(b) Find the equation of a circle with centre (3, 7) and circumference 16π.
(c) Evaluate 18Cr=18Cr+2, find rC5
2 (a) Prove the general equation of a circle.
(b) Find the equation of the line whose diameter has the end point A(5, 4) and B(7, 4).
(c) Solve for the equation of the circumcircle of triangle whose vertices are A (2, 3), B (5, 4) and C(3, 7).
3 (a) Derive the equation the tangent of the circle passing through (x1,y1).
(b) Two gubertorial aspirants A and B in two different states of Nigeria have probabilities 2/9 and 4/11
respectively of winning in an impending election. Find the probabilities that?
(a) both of them win in their respective states
(b) both of them lose in their respectively states
(c) at least one of them wins in his states.
4. (a) A stone is thrown with a velocity of ums-1 from a point O. After 4 seconds, the horizontal
displacement from O is 50 and its vertical displacement is 40m. Find:
(i) The angle of projection (ii) The initial velocity u.
(b) Find the equation of a circle whose centre has a midpoint of (-1,6) from a point (-4,5) on the
circumference of the circle.
5. (a) 3(nP2 + 24) = 2nP2, find the positive value of n
(b) Find the equation of a circle which passes the points (-6,-1), (-4,3), (2,-5)
(c) Find the radius and center of the circle in 5b above
6 (a). A further mathematics examination consists of 10 questions out of which candidates are to answer 8.
In how many ways can each candidate select it if:
- There is no compulsory question
- The first five questions are compulsory.
- At least four out of the first five questions are compulsory.
(b) Let two events A and B be defined on the same sample space. Suppose p(B)=0.2 and p(AuB)=0.75.
Find p(A) such that:
(i) A and B are independent
(ii) A and B are mutually exclusive
SS2 FURTHER MATHEMATICS EXAM QUESTIONS SECOND TERM – EDUDELIGHT.COM
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