23/04/2020 Senior Class WAEC/NECO/UTME Mock Exams(Mathematics) 23/04/2020 0Comments by Gate Academy Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. A trader sold an article for £660 at a profit of 20%. In order to make a profit of 30%, the article should have been sold for? £715 £792 £840 £858 £990 2. The marks scored by students in a test are recorded in the table belowCalculate the standard deviation 1.84 2.34 2.13 1.34 3. Differentiate wrt x 3x³ 1-3x 2 - 2/3x³ 2/3x³ 4. Find x if log2x = log93 √2 2/3 4 1/2 5. An observer standing on the top of a building 40 m high views a stone on the ground level at an angle of depression of 38°. The distance of the stone from the foot of the building in metres, is equal to 40 tan 38° 40 cot 38° 40 cos 38° 40 sin 38° 6. The standard deviation of the set of numbers -3, -2, -1, 0, 1, 2, 3, is 2√2 0 2 4√2 4 7. A circular paper is folded along its diameter, then again it folded to form a quadrant. Then it is cut as shown in the figure, after it the paper was reopened in the original circular shape. Find the ratio of the original paper to that of the remaining paper? (The shaded portion is cut off from the quadrant. The radius of quadrant OAB is 5 cm and radius of each semicircle is 1 cm) 11: 17 25 : 9 25 : 16 20 : 9 8. The diameter of a rod is measured as 3.70cm to three significant figures. Find the maximum error in the measurement. 5cm 0.045cm 0.05cm 0.5cm 0.005cm 9. A ladder resting against a vertical wall makes an angle tan-¹(2.4) with the ground. If the foot of the ladder is 1 m from the wall, what is the length of the ladder? 5.2 m 2.4 m 1 m 2.6 m 10. The following are measures of dispersion except standard deviation range mode mean deviation 11. Find, from the first principles, the derivative, with respect to x of 2x² + 1/x 4x - 1/x² 1/x² 4x 4x - 1/x 12. PQRS is a parallelogram and ST is perpendicular to QR. If the area of triangle PSR is 25 cm² and|PS| = 10 cm, the length ST is 5 cm 7.5 cm 2.5 cm 10 cm 13. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is 40° 77° 53° 70° 14. Find the derivative of 3x²-1 3x-1 3-x 3-x² 15. Two fair coins are tossed. The probability of getting at least one tail is 1/2 3/4 2/3 1/4 16. Solve for x the exponential equation: 3 x = 9 4 3 1 2 17. Find the variance and the standard deviation, respectively of the data below-3, -5, -7, 2, 5, 0, 4, 6 4.52, 20.2 12.6, 19 20.4, 4.52 12.3, 17 18. Differentiate the functions wrt x:5(3x-4)² 60x² 60x+4x² 3x²+4 30(3x-4) 19. Two sides of a plot measure 32 m and 24 m and the angle between them is a perfect right angle. The other two sides measure 25 m each and the other three angles are not right angles. 684 m² 534 m² 768 m² 696.5 m² 20. Find the derivative of f(y) = y-2 2-2yy³ 4y 2y-4y-³ 1 out of 20 Time is Up! Time's up