Mathematics (Core), 1989, WASSCE/WAEC MAY/JUNE, Exam, Paper 1 | Objectives

Paper Info

Year :

1989

Title :

Mathematics (Core)

Exam :

WASSCE/WAEC MAY/JUNE

Paper 1 | Objectives

1 - 10 of 48 Questions

#	Question	Ans
1.	If 3loga + 5loga - 6loga = log64, what is a? A. 4 B. 6 C. 8 D. 16 E. 32 Show Content Detailed Solution loga³ + loga⁵ - loga⁶ log( a³ * a⁵/a⁶ ) = loga⁶⁴ a² = 64 a = 8	C
2.	If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms? A. 28 B. 40 C. 48 D. 60 E. 68 Show Content Detailed Solution ar = 8 .....(1) ar³ = 32 .....(2) r² = 4 r = 2 ∴ a = 4	D
3.	In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. \|QR\| = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT A. 39cm² B. 28cm² C. 24cm² D. 21cm² E. 19cm² Show Content Detailed Solution Area of \(\Delta\)QST = 52cm\(^2\); height = 8cm b=base length; but A = 1/2 b x h =52=1/2 x b x 8cm = 104 =8b b=104/8 = 13cm; ST= 13cm; PS = 6cm TP = 13 - 6 = 7cm; area of \(\Delta\)QST = 1/2 b x h = 1/2 x 7 x 8/1 = 28cm\(^2\)	B
4.	In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR. A. 14^o B. 28^o C. 31^o D. 45^o E. 90^o Show Content Detailed Solution < QSR = 90° (angle in a semi-circle) \(\therefore\) < SQR = 180° - (90° + 62°) = 28°	B
5.	Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\) A. 1.332 B. 13.32 C. 133.2 D. 1332 E. 13.320 Show Content Detailed Solution \(\therefore \frac{5.34 \times 67.4}{2.7} = 133.2\)	C
6.	Factorize 35 - 2b - b² A. (35-2b)(b-1) B. (7+b)(5-b) C. (3+7b)(5-b) D. (35-b)(3b+7) E. (7+b)(5+b) Show Content Detailed Solution 35 - 2b - b ²; 35 - 7b + 5b - b ² 7(5 - b) + 5(5 - b) (7 + b)(5 - b)	B
7.	Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form. A. 7.5 x 10² B. 7.5 x 10¹ C. 7.5 x 10^-1 D. 7.5 x 10^-2 E. 7.5 x 10^-3 Show Content Detailed Solution \(\frac{0.009}{0.012}\) =\(\frac{0.009}{0.012}\) = \(\frac{9}{12}\) = 0.75 =\(7.5 \times 10^{-1}\)	C
8.	The graph above is that of a quadratic function y = 2x² - x - 6 The roots of the equation are A. 1.5, 2 B. -1.5, 2 C. 1, -6 D. 1, 6 E. -1, 6 Show Content Detailed Solution The roots are; x = -1.5 and 2	B
9.	Factorize the following expression; 2x² + x - 15 A. (2x+5)(x-3) B. (2x-5)(x+3) C. (2x-5)(x-3) D. (2x-3)(x+5) E. (2x+5)(x+3) Show Content Detailed Solution 2x ² + x - 15; 2x ² + 6x - 5x - 15 (2x ² + 6x) - ( 5x + 15) 2x(x + 3) - 5(x + 3) (2x - 5)(x + 3)	B
10.	The angle of elevation of X from Y is 30^o. If XY = 40m, how high is X above the level of Y? A. 10m B. 20m C. 20√3m D. 40m E. 50m Show Content Detailed Solution XZ = 40 x sin30^o = 20m	B

1.	If 3loga + 5loga - 6loga = log64, what is a? A. 4 B. 6 C. 8 D. 16 E. 32 Show Content Detailed Solution loga³ + loga⁵ - loga⁶ log( a³ * a⁵/a⁶ ) = loga⁶⁴ a² = 64 a = 8	C
2.	If the second and fourth term of a G.P are 8 and 32 respectively,what is the sum of the first four terms? A. 28 B. 40 C. 48 D. 60 E. 68 Show Content Detailed Solution ar = 8 .....(1) ar³ = 32 .....(2) r² = 4 r = 2 ∴ a = 4	D
3.	In the diagram above, TPS is a straight line, PQRS is a parallelogram with base QR and height 8cm. \|QR\| = 6cm and the area of triangle QST is 52cm2. Find the area of ΔQPT A. 39cm² B. 28cm² C. 24cm² D. 21cm² E. 19cm² Show Content Detailed Solution Area of \(\Delta\)QST = 52cm\(^2\); height = 8cm b=base length; but A = 1/2 b x h =52=1/2 x b x 8cm = 104 =8b b=104/8 = 13cm; ST= 13cm; PS = 6cm TP = 13 - 6 = 7cm; area of \(\Delta\)QST = 1/2 b x h = 1/2 x 7 x 8/1 = 28cm\(^2\)	B
4.	In the diagram O is the center of the circle, if ∠QRS = 62o, find the value of ∠SQR. A. 14^o B. 28^o C. 31^o D. 45^o E. 90^o Show Content Detailed Solution < QSR = 90° (angle in a semi-circle) \(\therefore\) < SQR = 180° - (90° + 62°) = 28°	B
5.	Evaluate, using logarithm tables \(\frac{5.34 \times 67.4}{2.7}\) A. 1.332 B. 13.32 C. 133.2 D. 1332 E. 13.320 Show Content Detailed Solution \(\therefore \frac{5.34 \times 67.4}{2.7} = 133.2\)	C

6.	Factorize 35 - 2b - b² A. (35-2b)(b-1) B. (7+b)(5-b) C. (3+7b)(5-b) D. (35-b)(3b+7) E. (7+b)(5+b) Show Content Detailed Solution 35 - 2b - b ²; 35 - 7b + 5b - b ² 7(5 - b) + 5(5 - b) (7 + b)(5 - b)	B
7.	Evaluate \(\frac{0.009}{0.012}\), leaving your answer in standard form. A. 7.5 x 10² B. 7.5 x 10¹ C. 7.5 x 10^-1 D. 7.5 x 10^-2 E. 7.5 x 10^-3 Show Content Detailed Solution \(\frac{0.009}{0.012}\) =\(\frac{0.009}{0.012}\) = \(\frac{9}{12}\) = 0.75 =\(7.5 \times 10^{-1}\)	C
8.	The graph above is that of a quadratic function y = 2x² - x - 6 The roots of the equation are A. 1.5, 2 B. -1.5, 2 C. 1, -6 D. 1, 6 E. -1, 6 Show Content Detailed Solution The roots are; x = -1.5 and 2	B
9.	Factorize the following expression; 2x² + x - 15 A. (2x+5)(x-3) B. (2x-5)(x+3) C. (2x-5)(x-3) D. (2x-3)(x+5) E. (2x+5)(x+3) Show Content Detailed Solution 2x ² + x - 15; 2x ² + 6x - 5x - 15 (2x ² + 6x) - ( 5x + 15) 2x(x + 3) - 5(x + 3) (2x - 5)(x + 3)	B
10.	The angle of elevation of X from Y is 30^o. If XY = 40m, how high is X above the level of Y? A. 10m B. 20m C. 20√3m D. 40m E. 50m Show Content Detailed Solution XZ = 40 x sin30^o = 20m	B