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THEORY QUESTIONS
WAEC SYLLABUS

WASSCE 2018

Objectives





2. FIND THE DOMAIN OF G(X) = (4X2 - 1) / (√9X2 + 1)

A. (X : X CR, X ≠ ½

B. : X CR, X, ≠ - ½

C. {X : X CR, ≠ X -L}

D. (X : X CR)


3. GIVEN THAT F(X) = 3X2 -12X + 12 AND Ƒ(X) = 3, FIND THE VALUES OF X

A. 1, 3

B.-1.-3

C. 1,-3

D.-1.3


4. A BINARY OPERATION * IS DEFINED ON THE SET OF REAL NUMBERS, R BY A * B = a/b + b/a If (√ x + L) * (√x - 1) = 4, FIND THE VALUE OF X

A. 6

B. 5

C. 4

D. 3


5. IF 4X2 + 5KX + 10 IS A PREFECT SQUARE, FIND THE VALUE OF K

A. 5/4 √10

B. 4√10

C. 5√10

D. 4/S √10


ANSWERS

6. IF THE POLYNOMIAL F(X) = 3X2 - 2X2 + 7X + 5 IS DIVIDED BY (X -1), FIND THE REMAINDER

A. -17

B. -7

C. 5

D. 13


7. P = {1, 3, 5, 7, 9, 11}, Q = {2, 4, 6, 8, 10, 12) AND R= (2, 3, 5, 7, 11} ARE SUBSET OF U = {1, 2, 3, ………,12}. WHICH OF THE FOLLOWING STATEMENTS IS TRUE?

A. Q ∩ R =Ø

B. R ⊂ P

C. (R ∩ P) ⊂ (R ∩ U)

D. n(P’ ∩ R) = 2


8. IF LOG3 A + 2 = 3 LOG, b, EXPRESS A IN TERMS OF b A.

A = B3 - 3

B. A = B3 - 9

C. A = 9B3

D. A = B3/9


9. IF α AND β ARE THE ROOTS OF 2X2 - 5X - 6 = 0, FIND THE EQUATION WHOSE ROOTS ARE (α + 1) AND (β + 1)

A. 2X2 - 9X+15

B. 2X2 - 9X + 13

C. 2X2 - 9X-13

D. 2X2 - 9X-15




ANSWERS

11. IF α AND β ARE ROOTS OF THE EQUATION 2X2 + 5X = N = 0 SUCH THAT αβ = 2, FIND THE VALUE OF N.

A. -4

B. -2

C. 2

D. 4


12. SOLVE LOG2 (12X - 10) = 1 + LOG2 (4X + 3)

A. 4. 75

B. 4.00

C. 1.75

D. 1.00





14. THE GENERAL TERM OF AN INFINITE SEQUENCE 9, 4, -1, -6, ……. IS ur = ar + b. FIND THE VALUES OF a AND b

A. A = 5, B = 14

B. A = -5, B = 14

C. A = 5, B = B = -14

D. A = -5, B = -14




ANSWERS

16. HOW MANY NUMBERS GREATER THAN 150 CAN BE FORMED FROM THE DIGITS 1, 2, 3, 4, 5 IF NO REPETITION IS ALLOWED?

A. 91

B. 191

C. 291

D. 391


17. THE FIRST TERM OF A GEOMETRIC PROGRESSION (GP.) IS 3/4. IF THE PRODUCT OF THE SECOND AND THIRD TERMS OF THE SEQUENCE IS 972, FIND ITS COMMON RATIO

A. 3

B. 4

C. 6

D. 12


18. IF SIN 0 = 3/5, WHERE 0° < 0 < 90°, EVALUATE COS (180 - Θ)

A. 4/5

B. 3/5

C. - 3/5

D. -4/5


19. FIND THE RADIUS OF THE CIRCLE X2 + Y2 - 8x - 2y + 1 = 0

A,9

B.7

C. 4

D. 3


20. IN HOW MANY WAYS CAN THE LETTERS OF THE WORD ELECTIVE' BE ARRANGED'?

A. 336

B. 1680

C. 6720

D. 20160


ANSWERS



22. Express 13/4 π radium’s in degrees

A. 4950

B. 2250

C. 5850

D. 1350


23. FIND THE EQUATION OF THE TANGENT TO THE CIRCLE x2 + y2 – 4x - 2y = 0 AT THE POINT (1, 3).

A. 2Y - X -5 = 0

B. 2Y – X - 5 = 0

C. 2Y + X + 5 = 0

D. 2Y - X + 5 = 0


24. GIVEN THAT Y = X(X + 1 )2, CALCULATE THE MAXIMUM VALUE OF Y

A. -2

B. O

C. 1

D. 2


25. THE MIDPOINT OF M(4, - 1) AND N (X, Y) IS P(3, -4). FIND THE COORDINATES OF N

A. (2, -3)

B. (2, -7)

C. (-L, -3) .

D (-10, -7)


ANSWERS

26. FIND THE STATIONARY POINT OF THE CURVE Y = 3X2 - 2.X3

A. (1, 0)

B. (L, L)

C. (-1, 0)

D. (-L. -L)





28. CALCULATE THE STANDARD DEVIATION OF 30, 29, 25, 28. 32 AND 24. A. 2.0 B. 2.8 C. 3.0 D. 3.2 1


29. EVALUATE ∫1-1 (X + 1) 2 dx A. 8/3 B. 7/3 C. 6/3 D. 2


30. OUT OF 70 SCHOOLS, 42 OF THEM CAN BE ATTENDED BY BOYS AND 35 CAN BE ATTENDED BY GIRLS. IF A PUPIL IS SELECTED AT RANDOM FROM THESE SCHOOLS, FIND THE PROBABILITY THAT HE/SHE IS FROM A MIXED SCHOOL 1 1 1 1 A. 11 B. 10 C. 6 D. 5


ANSWERS

31. THE MARKS SCORED BY 4 STUDENTS IN MATHEMATICS AND PHYSICS ARE RANKED AS SHOWN IN THE TABLE BELOW

Mathematics 3 4 2 1

Physics -------4 3 1 2

CALCULATE THE SPEARMAN'S RANK CORRELATION COEFFICIENT

A. 0.2

B. 0.5

C. 0.6

D. 0.7


32. GIVEN THAT A = I - 3J, B = -21 + 5j AND C = 3I - J, CALCULATE |A - B + C|.

A. √13

B. 3√13

C. 6√13

D. 9√13


33. WHAT IS THE PROBABILITY OF OBTAINING A HEAD AND A SIX WHEN A FAIR COIN AND DIE ARE TOSSED TOGETHER? 1 1 1 2

A. 1/12

B. 1/3

C. 1/2

D. 2/3





35. A BODY OF MASS 28G, INITIALLY AT REST IS ACTED UPON BY A FORCE, F Newtons. IF IT ATTAINS A VELOCITY OF 5.4 ms-1 IN 18 SECONDS, FIND THE VALUE OF F

A. 0.0082 N

B. 0.0084 N

C. 0.082/V

D. 0.084 N


ANSWERS

36. FIND THE ANGLE BETWEEN FORCES OF MAGNITUDES 7 N AND 4 N IF THEIR RESULTANT HAS A MAGNITUDE OF 9 A3

A. 39.45°

B. 73.40°

C. 75.34°

D. 106.60°


37. FIND THE CONSTANT TERM IN THE BINOMIAL EXPRESSION OF

[2X2 + 1/x]9

A. 84

B. 168

C. 336

D. 672


38. A PARTICLE START FROM REST AND MOVES THROUGH A DISTANCE S= 12T2 – 2t3 METRES IN TIME T SECONDS. FIND ITS ACCELERATION IN 1 SECOND.

A. 24 MS-2

B. 18 ms-2

C. 12 MS-2

D.10 ms-2


39. A CAR IS MOVING AT A SPEED OF 120 KMH-1. FIND ITS SPEED IN MS-1

A. 33.3 ms-1

B. 66.6 ms-1

C. 99.9 MS-1

D. 120.0MS-1


40. TWO FUNCTION F AND G ARE DEFINED ON THE SET OF REAL NUMBERS BY

f: x ----> X2 + 1 AND G : X -----> X - 2. FIND f or g

A. .X2 + 4X - 5

B. X2 - 4X + 5

C. X2 - 1

D. X - 1



WASSCE JUNE 2018 FURTHER MATHEMATICS OBJECTIVE TEST

ANSWERS

​1. B 2. D 3. A 4. D 5. D 6. D 7. C 8. D 9. B 10. B 11. D 12. B 13. B 14. C 15. C 16. C 17. D 18. D 19. C 20. C 21. B 22. C 23. A 24. B 25. B 26. B 27. A 28. D 29. A 30. B 31. C 32. B 33. A 34. D 35. B 36. B 37. D 38. C 39. A 40. B


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