24/09/2019Free Test Junior NECO/WAEC 0Comments by Gate Academy Welcome to your Free MOCK Exams Senior Class WAEC/NECO NAME EMAIL PHONE NUMBER 1. The universal set U contains all integers. Subsets of U are defined asP = {x : x ≤ 3}Q = {x : -5 < x < 12}R = {x : -2 ≤ x < 5}P ∩ Q = ? {-4, -3, -2, -1, 0, 1, 2, 3} {1, 2, 3} an infinite set {0, 1, 2, 3}2. The marks scored by students in a test are recorded in the table belowCalculate the mean 2.32 5.67 4.78 4.343. 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 y = x³ + 3x y = x³ - 4x² + 3x y = x³ - 4x² - 3x4. PQRS is a quadrilateral with dimensions shown belowCalculate the length of the diagonal PR 7 cm 10 cm 6cm 4 cm5. Simplify 1-y/ y 1/y 1+y/ y 1/ 1-y6. Three girls, Tireni, Jessy & Pryanka shared a packet of sweets. If Tireni received 2/5 of the sweets, Jessy received 5/9 of the remainder and Pryanka got 8 sweets. How many sweets were in the packet? 25 40 20 307. If, find x and y respectively, such that A² -xA + yI = 0 where I is a 2x2 identity matrix 12, 17 9, 12 9, 14 44, 568. Factorize the polynomial x^{ 3} - x^{ 2} - 25x + 25 (x - 1)(x + 5)(x - 5) (x-5)² (x - 1)(x + 5)² x²-1(x-5)9. Find the remainder when4x³ + 5x² - 11x + 10 is divided by x+2 19 18 20 2110. The acceleration of a particle moving in a straight line is given by a = 3t² - 4t. Find the expressions for the velocity given that v = 0 m/s and t = 0 s. v = t³ - 2t v = 2t³ - t² v = t³ - 2t² v = t³ + 2t²11. The weights to the nearest kg of a group of students are recorded in the following tableCalculate the median weight 24.5 kg 56.4 kg 52.5 kg 43.4 kg12. Find the value of x such that -2 or -14 10 or 20 3 or -17 1 or -213. Find the range and interquartile range, respectively, of the following data20, 30, 25, 28, 35, 25, 20, 27, 24 12, 6 15, 6 13, 9 15, 714. If I is the set of positive integers and P = {x : x ∈ I, x² < 10 and x ≠ 0}, then P = {1, 2, 3} P is an infinite set P = {0, 1} P = {0, 1, 2, 3}15. If the function f(x) = x³ + 2x² +qx - 6 is divisible by x + 1, find q -2 5 -5 116. The 1st and the 11th terms of an A.P. are -5 and 20 respectively. The common difference is 4 3 5 5/217. When the polynomial x³ + mx² + 4x + 2 is divided by x + 2.What is the value of m? 4 2 3 518. The ratio of the age of a father to that of his son is 9 : 2. If the son is now 8 years old, the ratio of their ages in 4 years time will be 9 : 4 10 : 3 5 : 1 3 : 119. Find the area of the curve y = 2x² + 5, x-axis from 0 and 3 22 53 14 3320. For what value of x the matrix is a skew symmetric matrix -1 5 1 -521. Decompose into partial fractions : (5x^{2} + 12x + 3) / x(x + 1)^{2} x + 2/(x + 1) 3/x + 2/(x + 1) + 4/(x + 1)² 2/(x+7) - 3/x²- 2/(x + 1)² 4/(x + 1)² +3/x22. Simplify 2/5 2x-y 1 3/523. Which of the following fractions is less than one quarter? 17/70 21/80 14/55 3/1124. If x^{4}-kx^{3} + 10x² + lx - 3 is divisible by (x-1) and if when it is divided by (x+2) the remainder is 27, find the constants k and l, respectively. 2, 3 8, -8 -15, -7 5, 725. The marks scored by students in a test are recorded in the table belowCalculate semi interquartile range 2 0 1 326. When the expression pm² + qm + 1 is divided by m- 1, it has a remainder of 2 and when divided by m + 1 it has a remainder of 4. Find pq 1 -2 2 -127. Differentiate the function wrt x:(2x-7)² 8x-28 x²-14 x+7x 28x²28. Solve for x if 404_{five }= 150_{x} 6 9 8 729. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 2 3 1 18 930. If x is positive, and the standard deviation of x-1, x+1, 3, 2x-1 and x+3 is 2√2, find the value of x and hence calculate the mean deviation x =6 , M.D = 2.4 x =4, M.D= 2.4 x= 4.3, M.D = 3 x=6, M.D = 4.231. If y = (2/3)x + 1 andz = (2/3) y + 1, then the value of z when x = 66 is 21 31 61 31/232. If 641_{x }+ 156_{x }= 807x, the number base x is 11 8 10 933. Find the number bases x and y from the following simultaneous equations25_{x }- 23_{y }= 8_{10}34_{x} - 32_{y }= 36_{10} x=6, y=4 x = 3, y = 4 x = 10, y = 15 x = 2, y = 134. The graph of a cubic polynomial y = a x^{ 3} + b x^{ 2} + c x + d is shown below. Find the coefficients a, b, c and d. a = 2 , b = 1/4, c = 3/2 and d = 1 a = 1/2 , b = 0, c = -3/2 and d = 1 a = 1/2 , b = 5, c = -3/2 and d = 1/3 a = 2 , b = 10, c = 3/2 and d = 135. A ship leaves port A and sails on a bearing of 040°. After 15 km the ship changes direction and sails on a bearing of 070°. If the ship sails a distance of 25 km on this bearing, find the distance of the ship from port A 21 km 34 km 3.2km 38.7km36. The marks scored by students in a test are recorded in the table belowCalculate the median 3 4 5 637. The simple interest rate per annum at which a sum of N10,000 accumulates to N12,400 in three years is 11% 8% 9% 17/2%38. Differentiate the function wrt x: 1/2 + 3x + 1/4x² 1/2 - 1/4x² 1/4x² 3x + 1/4x²39. Q is jointly proportional to the cube of X and the fourth power of Y. If X is halved and Y is doubled, then the value of Q is decreased in the ratio 4 : 1 increased in the ratio 1 : 4 left unchanged increased in the ratio 1 : 240. Factorize the polynomial (x + 1)^{ 2} - 4 (x - 1)(x + 3) (x² - 1)(x² + 3) (x - 1)(x² + 3) (x²- 1)(x + 3)41. The universal set U contains all integers. Subsets of U are defined asP = {x : x ≤ 3}Q = {x : -5 < x < 12}R = {x : -2 ≤ x < 5}Q ∪ R = ? R Q P R'42. Given that ax^{4} – 2x^{3} + cx^{2} – 6x – 9 = 0. When x = -1 or 3, calculate the values a and c, respectively. 1, 2 1, 0 0, -1 2, -143. The 8th term of the A.P. -4, -2, 0... is 10 8 -10 1244. 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 <QRS 57° 64° 24° 67°45. The sum of the first five terms of the G.P 3, -6, 12, is 33 31 -33 9346 out of 45Time is Up!