Hello and Welcome to SSCE (WAEC and NECO) Online Assessment Test - Mathematics 1. You will attempt 50 randomly generated objective questions for 40 minutes. 2. Don't guess answers. Leave answer blank if not sure. Incorrect answers attracts -1 (negative one) and it is cumulative. 3. If time allowed elapsed, your quiz ends immediately and scores will displayed and ranked. 4. Your performance in each of the question attempted alongside step-by-step solutions to attempted questions will be displayed on the screen at the end of the assessment. 5. Fill the form below and Click on the Next button to Begin Full Name (Surname First): Name of School: Location 1. [ Geometry ]A sector of a circle which subtends angle 172^{o} at the center of the circle has a perimeter of 600 cm. Find, correct to the nearest cm, the radius of the circle. [Take π = 22/7]. A. 120 cm B. 116 cm C. 107 cm D. 100 cm D C B A2. [ Number & Numeration ]If P = {prime factors of 210} and Q = {prime numbers less than 10}, find P∩Q. A. {1,2,3} B. {2,3,5} C. {1,3,5,7} D. {2,3,5,7} D A B C3. [ Statistics ]The bar chart shows the frequency distribution of marks scored by students in a class test. Calculate the mean of the distribution. A. 6.0 B. 3.0 C. 2.4 D. 1.8 D C B A4. [ Geometry ] In the diagram, PQ is a straight line. Calculate the value of the angle labelled 2y. A. 130^{o} B. 120^{o} C. 110^{o} D. 100^{o} A B D C5. [ Algebra ] B A D C6. [ Geometry ] In the diagram, |SR|=|QR|, angle SRP = 65^{o} and angle RPQ = 48^{o}, find angle PRQ A. 65^{o} B. 45^{o} C. 25^{o} D. 19^{o} A B C D7. [ Algebra ]The sum of 12 and one third of n is 1 more than twice n. Express the statement in the form of an equation. A. 12n – 6 = 0 B. 3n – 12 = 0 C. 2n – 35 = 0 D. 5n – 33 = 0 B A C D8. [ Algebra ]If x + y = 2y - x + 1 = 5, find the value of x. A. 3 B. 2 C. 1 D. -1 B C D A9. [ Geometry ]The diagram is a polygon. Find the largest of its interior angles. A. 30^{o} B. 100^{o} C. 120^{o} D. 150^{o} B D A C10. [ Number & Numeration ]Using the Venn diagram, find n(X∩Y') A. 2 B. 3 C. 4 D. 6 B D A C11. [ Algebra ] D C B A12. [ Number & Numeration ]If U_{n} = n(n^{2} + 1), evaluate U_{5} – U_{4} A. 18 B. 56 C. 62 D. 82 D B C A13. [ Geometry ] In the diagram, MN, PQ, and RS are three intersecting straight lines. Which of the following statement(s) is/are true? I. t = y II. x + y + z + m = 180^{o} III. x + m + n = 180^{o} IV. x + n = m + z A. I and IV only B. II only C. III only D. IV only D A C B14. [ Geometry ]An object is 6m away from the base of a mast. The angle of depression of the object from the top of the mast is. Find correct to 2 decimal places, the height of the mast. A. 8.60m B. 7.51m C. 7.15m D. 1.19m A B C D No Answer15. [ Number & Numeration ]Multiply 2.7 x 10^{-4} by 6.3 x 10^{6} and leave your answer in standard form. A. 1.7 x 10^{3} B. 1.70 x 10^{3} C. 1.701 x 10^{3} D. 17.01 x 10^{3} A C B D16. [ Number & Numeration ]In 1995, the enrollments of two schools X and Y were 1,050 and 1,190 respectively. Find the ratio of the enrollments of X to Y. A. 50:11 B. 15:17 C. 13:55 D. 12:11 A D B C17. [ Algebra ] B C A D18. [ Geometry ] In the diagram, PRST is a square. If |PQ| = 24cm, |QR| = 10cm and angle PQR = 90^{o}; find the perimeter of the polygon PQRST A. 112cm B. 98cm C. 86cm D. 84cm A B D C19. [ Statistics ] C A B D20. [ Geometry ]The volume of a cuboid is 54cm^{3}. If the length, width and height of the cuboid are in the ratio 2 : 1 : 1 respectively, find its total surface area. A. 108cm^{2} B. 90cm^{2} C. 80cm^{2} D. 75cm^{2} A C D B21. [ Geometry ]What is the focus of the point X which moves relative to two fixed points P and M on a plane such that angle PXM = 30^{o}? A. The bisector of the straight line joining and . B. An arc of a circle with as a chord. C. The bisector of angle D. A circle center and radius . D B A C22. [ Geometry ] In the diagram, O is the center of the circle PQRS and angle PSR = 86^{o}. If angle POR = x^{o}, find x. A. 274 B. 172 C. 129 D. 86 B A D C23. [ Algebra ] A. 3 B. 2 C. 1 D. 0 D B A C24. [ Number & Numeration ]A sale boy gave a change of N68 instead of N72. Calculate his percentage error. A D B C25. [ Geometry ]A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume. A. 344m^{3} B. 448m^{3} C. 632m^{3} D. 840m^{3} D C B A26. [ Geometry ]In the diagram, |QR| = 10 m, |SR| = 8 m, angle QPS = 30^{o}, angle QRP = 90^{o} and |PS| = x. Find x. A. 1.32 m B. 6.32m C. 9.32 m D. 17.32 m C A B D27. [ Number & Numeration ]If N2,500.00 amounted to N3,500.00 in 4 years at simple interest, find the rate at which the interest was charged. A. 5% B. 7½% C. 8% D. 10% A B D C28. [ Algebra ] D C A B29. [ Statistics ]Given that the mean of the scores 15, 21, 17, 26, 18 and 29 is 21, calculate the standard deviation of the scores. A. √10 B. 4 C. 5 D. √30 D C B A30. [ Number & Numeration ]The nth term of a sequence is T_{n} = 5 + (n - 1)^{2}. Evaluate T_{4} - T_{6} A. 30 B. 16 C. -16 D. -30 B D C A31. [ Geometry ]In the diagram, PQRST is a regular polygon with sides QR and YS produced to meet at V. Find the size of angle RVS. A. 36^{o} B. 54^{o} C. 60^{o} D. 72^{o} B A D C32. [ Algebra ]Given that (x + 2)(x^{2} - 3x + 2) + 2(x + 2)(x - 1) = (x + 2)M, find M A. (x + 2)^{2} B. x(x + 2) C. x^{2} + 2 D. x^{2} + x D A C B33. [ Geometry ]The curved surface area of a cylindrical tin is 704cm^{3}. If the radius of its base is 8cm, find the height. [Take π = 22/7 ] A. 14 cm B. 9 cm C. 8 cm D. 7 cm D A C B34. [ Geometry ] In the diagram, the height of a flag pole (TF) and length of its shadow (FL) are in the ratio 6:8. Using K as a constant of proportionality, find the shortest distance between T and L. A. 7K units B. 10K units C. 12K units D. 14K units C D A B35. [ Algebra ] A. 5 B. 4 C. 3 D. 1 D B C A36. [ Statistics ]Which of the following is not a probability of Mary scoring 85% in a mathematics test? A. 0.15 B. 0.57 C. 0.94 D. 1.01 D C A B37. [ Algebra ]Given that P = x^{2} + 4x - 2, Q = 2x - 1 and Q - P = 2 , find x A. -2 B. -1 C. 1 D. 2 D B A C38. [ Algebra ] C D A B39. [ Algebra ]The graph of the relation y = x^{2} + 2x + k passes through the point (2,0). Find the value of k. A. 0 B. -2 C. -4 D. -8 D C A B40. [ Algebra ]If x and y are variables and k is a constant, which of the following describes an inverse relationship between x and y? A B D C41. [ Statistics ]The graph is that of 2x^{2} - 5x - 3. For what value of x will y be negative? A. -½ < x < 3 B. -½ < x < 3 C. -½ < x < 3 D. -½ < x < 3 B D C A42. [ Number & Numeration ]Four oranges sell for Nx and three mangoes sell for Ny. Olu bought 24 oranges and 12 mangoes. How much did he pay in terms of x and y? A. N(4x + 6y) B. N(6x + 4y) C. N(24x + 12y) D. N(12x + 24y) C B D A43. [ Geometry ] The diagram is a circle with center O. PSRT are points on the circle. Find the value of angle PRS. A. 144^{o} B. 72^{o} C. 40^{o} D. 36^{o} D B C A44. [ Number & Numeration ]In what number base is the addition 465 + 24 + 225 = 1060? A. Ten B. Nine C. Eight D. Seven B A C D45. [ Statistics ]The graph is that of 2x^{2} - 5x - 3. What is the gradient of y = 2x^{2} - 5x - 3 at the point x = 4? A. 11.1 B. 10.5 C. 10.3 D. 9.9 D A C B46. [ Geometry ]A cube and a cuboid have the same base area. The volume of the cube is 64 cm^{3} while that of the cuboid is 80 cm^{3}. A. 2 cm B. 3 cm C. 5 cm D. 6 cm C B A D47. [ Statistics ]A bag contains 4 red and 6 black balls of the same size. If the balls are shuffled briskly and two balls are drawn one after the other without replacement, find the probability of picking balls of different colours. A. 8/15 B. 13/25 C. 11/15 D. 13/15 A D B C48. [ Geometry ]A side and a diagonal of a rhombus are 10cm and 12cm respectively. Find its area. A. 20cm^{2} B. 24cm^{2} C. 48cm^{2} D. 96cm^{2} A D C B49. [ Number & Numeration ]The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used. A. 1 : 1,000,000 B. 1 : 500,000 C. 1 : 100,000 D. 1 : 10,000 D A B C51 out of 50Are you ready to submit? You have enough time to attempt skipped questions and review your answers by clicking the Previous Button, else click the Submit Quiz button to see your results! Follow Us On Social Media Categories: 0 Comments Leave a Reply Cancel reply You must be logged in to post a comment. This site uses Akismet to reduce spam. Learn how your comment data is processed.

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