1. Evaluate and correct to two decimal places, 75.0785 - 34.624 9.83 A. 30.60 B....

1. Evaluate and correct to two decimal places, 75.0785 - 34.624 9.83 A. 30.60 B. 50.29.
C. 50.28. D. 30.63
2. If X = {x : x < 7} and Y = {y:y is a factor of 24} are subsets of μ = {1, 2, 3...10} find X ∩ Y.
A. {2, 3, 4, 6}. B. {1, 2, 3, 4, 6}. C. {2, 3, 4, 6, 8}. D. {1, 2, 3, 4, 6, 8}
3. Simplify; [(16/9)−3/2 x 16−3/4]⅓. A. ¾. B. 9/16. C. ⅜. D. ¼
If x = 3 and y = -1, evaluate 2(x² - y²). A. 24. B. 22. C. 20. D. 16
4. Solve 3x - 2y = 10 and x 3y = 7 simultaneously. A. x = -4 and y = 1. B. x = -1 and y = -4
C. x = 1 and y = 4. D. x = 4 and y = 1
5. The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio. A. 2. B. 4. C. 8. D. 16
6. Solve ⅓(5 - 3x) < ⅖(3 - 7x). A. x > 7/22. B. x < 7/22. C. x > −7/27. D. x < −7/27
7. Make m the subject of the relation k = m−y/m 1. A. m = y k²/k² 1. B. m = y k²/1−k².
C. m = y−k²/k² 1. D. m = y−k²/1−k²
8. Given that x is directly proportional to y and inversely proportional to Z, x = 15 when y = 10 and Z = 4, find the equation connecting x, y and z. A. x = 6y/z. B. x = 12y/z. C. x = 3y/z.
D. x = 3y/2z
9. Find the equation of the line parallel to 2y = 3(x - 2) and passes through the point (2, 3)
A. y = 2/3x−3. B. y = 2/3x−2C. y = 2/3x. D. y = −2/3x
10. The expression 5x 3/ 6x(x 1) will be undefined when x equals A. {0, 1}. B. {0, -1}.
C. {-3, -11}. D. {-3, 0}.
11. A fence 2.4 m tall, is 10m away from a tree of height 16m. Calculate the angle of elevation of the top of the tree from the top of the fence.
A. 76.11⁰. B. 53.67⁰. C. 52.40⁰. D. 51.32⁰
12. Fati buys milk at ₦x per tin sells each at a profit of ₦y. If she sells 10 tins of milk, how much does she receives from the sales? A. ₦(xy 10). B. ₦(x 10y). C. ₦(10x y). D. ₦10(x y)
13. If tan y is positive and sin y is negative, in which quadrant would y lie?
A. First and third only B. First and second only. C. Third only. D. Second only
14. The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm³, how high is the pyramid?
A. 10cm. B. 6cm. C. 8cm. D. 7cm
15. Each interior angle of a regular polygon is 168⁰. Find the number of sides of the polygon
A. 30. B. 36. C. 24. D. 18
16. The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation
A. 9 B. 6. C. 5. D. 0

17. In the diagram, PQR is a circle with center O. If ∠OPQ = 48°, find the value of M.
A. 96⁰. B. 90⁰. C. 68⁰. D. 42⁰
18. Find the sum of the interior angle of a pentagon.
A. 340⁰. B. 350⁰. C. 540⁰. D. 550⁰

19. The graph of the equations y = 2x 5 and y = 2x² x - 1 are shown. Use the information above to answer this question. Find the point of intersection of the two graphs.
A. (2.0, 9.0) and (-1.5, 2.0). B. (2.0, 8.5) and (-1.5, 2.0). C. (2.0, 8.0) and (-1.5, 2.5).
D. (2.0, 7.5) and (-1.5, 2.5)
20. If (x 2) is a factor of x² px - 10, find the value of P. A. 3. B. -3. C. 7. D. -7

21. In the diagram, O is the centre of the circle. If < NLM = 74⁰, < LMN = 39⁰ and < LOM = x, find the value of x. A. 134⁰. B. 126⁰. C. 113⁰. D. 106⁰
22. Find the 5th term of the sequence 2,5,10,17....? A. 22. B. 24. C. 36. D. 26
23. Factorize 6pq-3rs-3ps 6qr. A. 3(r -p)(2q s). B. 3(p r)( 2q - 2q - s). C. 3(2q - s)(p r)
D. 3(r - p)(s - 2q)
24. If 4x 2y=16 and 6x-2y=4 , find the value of (y-x). A. 8. B. 2. C. 4. D. 6
make u the subject in x =2u−3/3u 2. A. u = 2x 3/3x−2. B. u = 2x−3/3x−2. C. u = 2x 3/2−3x
D. u = 2x 3/3x 2
25. Find The quadratic Equation Whose Roots Are -2q And 5q. A. 3x² 3qx - 10q²
B. x² 3qx 10q². C. x² - 3qx 10q². D. x² - 3qx - 10q²
26. If 2/x−3 - 3/x−2 = p/(x−3)(x−2), find p. A. 5 - x. B. - (x 5). C. 13 - x. D. - (5x - 13)
27.
Find the value of (x y). A. 215°. B. 70°. C. 135°. D. 145°
28. In the diagram, PQRS is a circle. find the value of x. A. 50°. B. 30°. C. 80°. D. 100°
29. A cone has a base radius of 8cm and height 11cm. calculate , correct to 2d.p, the curved surface area. A. 341.98cm². B. 276.57cm². C. 201.14cm². D. 477.71cm²
30. Given that sin x = 3/5, 0 ≤ x ≤ 90, evaluate (tanx 2cosx). A. 2 11/20. A. 11/20. B. 2 7/20.
D. 1/20
PART B. THEORY QUESTIONS (ANSWER 3 QUESTIONS ONLY)
1. (a) Copy and complete the table of values for the relation y=2x²
- x - 2 for 4 ≤ x ≤ 4.
x -4 -3 -2 -2 0 1 2 3 4
y 19 -2 26
(b) Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = 2x² - x - 2 for 4 ≤ x ≤ 4.
(c) On the same axes, draw the graph of y = 2x 3.
(d) Use the graph to find the: (i) roots of the equation 2x-3r-5 0; (i) range of values of x for which 2x² -x - 2?

1 Answers Available
Asked by emmanuel on 25th March, 2024