Please, fill out the information below to continue. NAME E,MAIL PHONE NUMBER 1. The twelfth term of the sequence (x - a), x, (x + a), ... isx + 9ax + 10ax - 12ax + 12ax + 11a2. Which point is the reflection of the point (–7, 5) over the line y = –x?(5, -7)(7, 5)(-5, 7)(7, -5)3. Find x, y, z, w, respectively,1, 3, 4, 21, 2, 3, 44, 3, 2, 12, 4, 3, 14. Find the coefficient of x³ in the binomial expansion of (2-5x)750000-30000-70000120005. If sin (x + y) = 1 and cos (x - y) = 3√232, find x and y.x = 21° and y = 48°x = 30° and y = 90°x = 45° and y = 45°x= 60° and y =30°6. If P = {3, 1, 0, 5}; Q = {2, 3, 8, 1, 4} and R = {7, 6, 5}, then P ∩ Q ∩ R is{1}{0}{1,3,5}{ }7. If (2/3)a-1 = 27/8, what is a?-262-48. In the triangle below find the value of a 6.7 cm10.2 cm2.9 cm12.2 cm9. The common ratio in the G.P log 2, log 4, log 16, ... is23log 2410. Solve for x in the logarithmic equation:log3 (1/(x + 1)) = 28/9-8/99/8-2/311. When a polynomial f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1. Find f(x)2x³ - 5x² + 7x - 7can't be gotten2x³ - 5x² + 7x - 72x³ + 5x² - 3x + 72x³ + 5x² - 7x + 512. The second term of an infinite geometric series is -1/2 and the third term is 1/4. The sum of the series is1/23/22/31213. Simplify: (32y + 1 × 9y × 42y) ÷ (18y × 2y × 62y)2y3y13214. Find the x intercept of the graph of y = 2 log( √(x - 1) - 2)1113101215. A constant force of magnitude F, acts on an object of mass 0.4kg initially at rest at a point O. If the speed of the object when it has moved 50m from O is 500m/s, what is the value of F?0.04N100N1000N250N16. Solve the equation 3x + 10 = x²5 or 2-5 or -2-5 or 25 or -217. Given that dy/dx = 6x² + 5x, find the function which passes through the point (2, 30).y = 6x² + 5xy = x³ + 2x² + 4y = 2x³ + 5/2 x² - 4y = 2x³ + 5/2 x² + 418. Express cos (- 1555°) in terms of the ratio of a positive angle less than 30°.cos 25°-sin 25°sin 15°cos 15°19. Find ∫x² log x dxCx/4 + logx + Cx³/3 logx - x³/6 + Cxlogx + C20. Divide 2x³ + 11x² + 17x + 6 by 2x + 17x-2x²+7x-22x+1x²+5x+621. Find the value of Ylog y - log (y-1) = log 331.51022. The gradient of a curve is given by dy/dx = 3x² - 8x + 3. If the curve passes through the origin, find the equation of the curve.y = x³ - 4x² + 3xy = x³ - 4x² - 3xy = x³ + 3xy = x³23. If the function f(x) = x³ + 2x² +qx - 6 is divisible by x + 1, find q-5-21524. The marks scored by students in a test are recorded in the table belowCalculate the mean4.785.674.342.3225. Solve for m:6-64226. Find ∫ 1/ x²+3x-10 dx7In x + C1/7 In (x-2 / x-5) + CCIn (x-2 / x-5) + C27. The line 2y = x + 2 intersects the curve y = 1/4 (7x-x²). Calculate the area of the finite region bounded by the curve and the line6/75/69/87/828. In a certain class, 37 students take at least one of Chemistry, Economics and History. 8 students take Chemistry, 19 take Economics and 25 take History. 12 students take Economics and History but nobody takes Chemistry and Economics . How many students take both Chemistry and History?365429. If x³ + y³+ 6xy = 0, find dy/dx by implicit differentiation- (2y + x²)/(2x + y²)(2y + x²)/ (2x + y²)x/(2x + y²)- (2y + x²)/ y30. Find the equations of the straight lines joining (0, 3), (2, 0)2x+6=0y-4+23x+2y-6 = 0x-y+6=031. Find a positive angle between 0° and 360° that is equivalent to 650°290°23°44°124°32. The quadrants where abcissa and ordinate have different signs are?2nd & 3rd quadrant1st & 2nd quadrant1st & 3rd quadrant2nd & 4th quadrant33. The prices of computers in a catalogue are: N125,000, N99,000, N125,000, N120,000, N110,000, N115,000, N130,000, N120,000, N100,000.Calculate the meanN40,000N214,000N56,000N116,00034. Two forces whose resultant is 100N, are at right angles to each other. If one of them makes an angle of 30° with the resultant, determine its magnitude86.6N57.7N8.66N50N35. If logx(1 / 8) = -3 / 4, than what is x?1416131536. P is a probability function of an exhaustive set S = {w, x, y, z}. If P(x) = 1/4, P(y) = 1/3, P(z) = 1/6, then P(w) is3/41/121/721/437. A ball is thrown vertically upwards and its height s metres after t seconds is given by s = 16t - 4t². Find the time when the velocity is 8 m/s.3s4s1s2s38. Given that the quadratic expression 3m² - 7m + K is a perfect square, the value of K is49/449/3649/2449/1239. Solve the inequality:18 < x² - 3xx < -3 or x > 6-3 < x < 6x < -3 or x < 6x > -3 or x > 640. If sin p = 3/5, where 0° < p < 90°, find the value of 720141. A body of mass 4kg is on the point of slipping down a plane which is inclined at 30° to the horizontal. What force, parallel to the plane, will just move it up the plane? (g = 10m/s²)8N5N80N40N42. If tan α = -4/3, find the value of (sin α + cos α).±1/2±3/5±2/3±4/543. When a box of mass 45kg is given an initial speed of 5m/s, it slides along a horizontal floor a distance of 3m before coming to rest. What is the co-efficient of the kinetic friction between the box and the floor? (g = 10m/s²)1/32/35/125/644. Line Q has the equation 5y – 3x = 45. If Line S is perpendicular to Q, has an integer for its y-intercept, and intersects Q in the second quadrant, then how many possible Line S’s exist? (Note: Intersections on one of the axes do not count.)3336254145. Find the angles between 0° and 360° whose sine is 0.4226324°25°113°422.3°46. Find the sum to infinity of the series 1 + 7/10 + (7/10)² + (7/10)³ + ...727/1010/3547. Use Bionomial Theorem to find the first three terms in the expansion of (1 - x/2)127x - 536x²2-7x+ 13x²1 - 6x +16.5x²4x - 89x48. PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°.Calculate /QS/30 cm50 cm40 cm20 cm49. Find the area of the finite region bounded by the curve y = 5 - 4x - x² and the linesy = 0, x= 0 and x = -53/1009/22/9100/350. Determine the order of the matrix3x12x41x51x351. Which of the following polynomials has (a+b) as a factor?2a³+2a²b-ab+3a-b²+3ba²+b²a³-b³2a²-3ab+b²-a+152. Evaluate:log327 + log36 – log35421/30153. A wooden block of weight 16N is placed on a rough surface. If the co-efficient of friction between both surfaces is 0.25, the least horizontal force required to move the block is4.0N0.4N6.4N64.0N54. If y = x³ + 3x², find 2(dy/dy) - x(d²y/dx²)2x5x6x4x55. Factorize the polynomial x 3 - 1x-1(x - 1)(x² + x + 1)2x+1(x-1)²56. What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?2π cm³/s8π cm³/s4π cm³/s6π cm³/s57. Determine the order of the matrix(4 5 5 3)1x42x43x14x158. Find, w.r.t.x, the derivative of (2x² - x + 3)³2(2x+3)7(2x² - x + 3)³3(4x-1)(2x² - x + 3)³3(4x-1)59. A boat is towed with a net force of 16000N acting at an angle of 60º to the water surface. If the boat moves with an acceleration of 20m/s², calculate its mass.133.3kg400kg533.3kg692.8kg60. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2y = 4x + 9y = 2x - 5y = x + 7y = x +161 out of 60Time is Up!
