Welcome to your Free MOCK Exams Senior Class WAEC/NECO NAME EMAIL PHONE NUMBER 1. The radius of a circle s increasing at the rate of 0.05 cm/s. Find the rate of increase of the circumference when the radius of the circle is 4 cm. 4π cm/s 0.2π cm/s 10π cm/s 8π cm/s2. 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 P R' Q3. Simplify 1-y/ y 1/y 1+y/ y 1/ 1-y4. If the function f(x) = x³ + 2x² +qx - 6 is divisible by x + 1, find q 5 -5 1 -25. The profit on a business was shared between two partners Tolu and Gbemi in the ratio 3 : 4. If Gbemi received N8,000 more than Tolu, the profit was N42,000 N24,000 N32,000 N56,0006. The 5th and 10th terms of an A.P are 0 and 10 respectively. the 20th is 20 30 40 367. Simplify -2(y-9) 2(9+y) 2(y-9) 81-y²8. The marks scored by students in a test are recorded in the table belowCalculate the median 4 6 3 59. Solve the equation 4 cosx - 3 = 0 for 0° ≤x≤ 360° 12.5° 41.4° 234° 63°10. 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 = 2t³ - t² v = t³ + 2t² v = t³ - 2t² v = t³ - 2t11. Differentiate the function wrt x: 1/2 - 1/4x² 3x + 1/4x² 1/2 + 3x + 1/4x² 1/4x²12. Evaluate the definite integral: 4 -4 3 513. Decompose into partial fractions : (5x + 10) / x(x + 5) 2/x + 3/(x + 5) 3/ (x+5) x/2 x/2 + 3/(x+3)14. If 101_{2} x P_{2 }= 11110_{2}, find the value of P 110 101 10 1115. Given that x and t are two variables such that dx/dt = 3t² - 4t, and x = 1 when t = 4, express x in terms of t. x = 3t³ + 2t² - 31 x = 3t³ - 2t² - 31 x = t³ - 2t² - 31 x = t³ - 2t - 3116. The radius r of a circular disc is increasing at the rate of 0.5 cm/s. At what rate is the area of the disc increasing when its radius is 6 cm? 36π cm²/s 3π cm²/s 6π cm²/s 18π cm²/s17. Subtract the polynomials: (xy + 3x + 2) - (3x^{2} + y) 3x²+4xy+2 -3x²+xy+3x-y+2 -3x²+3x-y+2 3x²+4xy+218. The 8th term of the A.P. -4, -2, 0... is 10 8 -10 1219. Write the value of the angle in surd form cos 300° 1/2 √2 -√2 -√3/220. A ship P sails at an average speed of 50 km/h on a bearing of N35°E from a port R. At the same time another ship Q sails at an average speed of 40 km/h on a bearing of S25°W. How far are they after 4 hours? 112 km 359 km 234 km 45 km21. The value of the expression (9/4) x³ - (9/2) x² - (8/27) x^{-3 }when x = - 2/3 is 6 -20/3 7/3 -5/322. The following marks were obtained by candidates in an examination What is the modal group 51-60 41-50 71-80 61-7023. The side of a square of length 5 cm is increasing at 0.1m/s. What is the rate of increase of the area of the square? 1cm² 3cm² 2cm² 4 cm²24. A dealer makes a profit of 20% by selling a crate of soft soft drinks for £600.00. The cost of the crate of soft drinks to the dealer was £500.00 £480.00 £520.00 £540.0025. Find a positive angle between 0° and 360° that is equivalent to -65.8° 342° 53.4° 294.2° 386°26. If , find x ±3 ±2 ±54 527. A school has 43 students in class 3A and 47 students in 3B. The average score in a test is 55 for class 3A and 60 for class 3B. The average score for both classes, correct to one decimal place, is 57.8 57.6 58.1 57.528. 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= 4.3, M.D = 3 x=6, M.D = 4.2 x =4, M.D= 2.429. The gradient of a curve is given by dy/dx = 10x - 3x². If the curve passes through the point (-1, 10), find the equation of the curve y = 5x² - x³ y = x² -4 y = 5x² - x³ + 4 y = 5x³ - x² + 830. Find the range of the following data1/4, 5/8, 3/10, 2/5, 7/10, 7/8, 3/4 5/8 3/5 3/4 7/1031. The integral values of y which satisfy the inequality -1 < 5 - 2y ≤ 7 are 0, 1, 2, 3 -1, 0, 1, 2, 3 -1, 0, 2, 3 -1, 0, 1, 232. Add the polynomials: (- 7 x^{2}y + xy + 3x + 2) + (5 x^{2}y - 5 xy - 6x - 7) 2x²y +4xy-3x-5 -2x²y-4xy +3x+5 2x²y + 4 xy + 3x + 5 -2x²y-4xy-3x-533. The following marks were obtained by candidates in an examination Calculate the median 12.9 45.7 54.6 10.834. Find a positive angle between 0° and 360° that is equivalent to 775° 237° 55° 117° 45°35. What is the probability of throwing a number greater than 2 with a single in a fair die 1/3 2/3 4/5 1/236. Solve for y in the following equation given in base two: 11(y + 101) = 1000y 10 110 111 1137. Evaluate the integrals: 12/3 12 14 14/338. The table below shows the frequency distribution of a number of pets in 25 houses Find the mode of the distribution 5 3 2 439. Given that cos θ = -0.3420, where 180° ≤θ≤ 360° , find θ 190° 250° 345° 320°40. Find a positive value of p if the expression 2x² - px - + p leaves a remainder 6 when divided by x-p 2 3 4 541. The gradient of the curve that passes through the point (1, -10) is given by 3x² - 6. Find the equation of the curve. y = x³ + 6x - 5 y = x³ - 6x - 5 y = x³ - 30 y = x³ + 542. Find the area bounded by the curve y = x(2 - x), the x-axis, x=0 and x= 2. 4/3 2 4 343. Differentiate the functions wrt x:(x-2)(3x+5) 3x² 3x+2 4x+4 6x-144. Divide the expression x³ + 7x² - x - 7 by -1+x² x+7 x²+2 x²-1 x-745. Find the derivative of h(x) = 4x-¹ 8x-8x-¹ 3x-2 3-2x-¹46 out of 45Time is Up!