Welcome to your Free MOCK Exams Senior Class WAEC/NECO NAME EMAIL PHONE NUMBER 1. Given that cos θ = -0.3420, where 180° ≤θ≤ 360° , find θ320°250°345°190°2. Ebuka sold a radio set to Jenny at a profit of 10% and Jenny sold it for $2612.50 at a loss of 5%. The cost of the radio to Ebuka was$2488$2272$2500$23753. 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-1-2124. The ratio of the price of a tin of milk to that of a packet of sugar is m : p. If the price of milk now goes up by 25% while that of sugar goes up by 15%, the new ratio of the prices is3p : 5m23m : 25p25m : 23p5p : 3m5. In the diagram below , WXYZ is a cyclic quadrilateral in which WZ = 6cm, ZY = 8.5cm and the diagonal WY = 10 cm. Calculate <WXY21°115°76°95°6. A businessman invested a total of $200,000 in two companies which paid dividends of 5% and 7% respectively. If he received a total of $11,600, how much did he invest at 7%?$100,000$80,000$160,000$140,0007. Which of the following fractions is less than one quarter?14/5517/703/1121/808. Find the value of 4/3 tan²60° + 3 cos²30° - 2 sec²30° - 3/4 cot²60°7/311/310/339. For what range of values of y is y - 1 > 4(y + 2)?y > -3-3 < y < -2y < -32 < y < 310. 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?1cm²3cm²2cm²4 cm²11. Find the value of sin 145°0.56430.23560.34550.573612. Write the value of the angle in surd form sin 240°-√3/2-√2√2√3/213. In the triangle below find the value of a 2.9 cm12.2 cm6.7 cm10.2 cm14. A body starting from the origin O moves in a straight line, and its velocity, v m/s, after t s is given by v = 12 + 20t - 3t². Calculate the distance moved by the particle in 2 s.56 m32 m78 m44 m15. If , find x±545±2±316. If (x-3) and (x+5) are factors of the expression x³ + mx² - nx - 45, what is the product of m and n5535456717. The value of the expression (9/4) x³ - (9/2) x² - (8/27) x^{-3 }when x = - 2/3 is-5/3-20/37/3618. Evaluate the integrals:101320619. The weights to the nearest kg of a group of students are recorded in the following tableCalculate the mean weight32.723.44352.620. The gradient of a curve at any point (x, y) is given by dy/dx = 2(x - 3) and the point(3, -12) lies on the curve. Find the equation of the curve.y = x² - 6x - 5y = x² - 6x - 3y = x² - 6xy = x - 1821. Simplify 2(9+y)2(y-9)-2(y-9)81-y²22. Find the real numbers n satisfying n(3/n) + n > 2n < 1All real numbersn > -1n > 223. If U = {integers ≤ 20}, X = {multiples of 4}, Y = {multiples of 3}. The elements of X' ∩ Y are{3, 6, 9, 15, 18}{}{12}{3, 5, 7}24. A curve has equation y = x³ -4x² - 3x + 18, the point P(-2, 0) lies on the curve. Find the gradient of the tangent to the curve at P.2522292125. The velocity of a particle, v m/s, after t s is given by v = t² + 5. Find the distance travelled at the end of 3 s.48 m24 m18 m3 m26. Differentiate the function wrt x:1/2 - 1/4x²3x + 1/4x²1/2 + 3x + 1/4x²1/4x²27. Find the area of the curve y = 2x² + 5, x-axis from 0 and 35333221428. A rectangle is formed from a square by increasing the latter's length by 50% while reducing its width by 50%. The ratio of the area of the rectangle to that of the square is3 : 43 : 22 : 34 : 329. Iffind f(A) where f(x) = x² - 5x - 2-102130. PQRS is a quadrilateral with dimensions shown belowCalculate the size of <PSR23°94°118°13°31. If I is the set of positive integers and P = {x : x ∈ I, x² < 10 and x ≠ 0}, thenP = {0, 1}P = {1, 2, 3}P = {0, 1, 2, 3}P is an infinite set32. 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£540.00£480.00£520.00£500.0033. Factorize the polynomial (x + 1)^{ 2} - 4(x - 1)(x² + 3)(x² - 1)(x² + 3)(x²- 1)(x + 3)(x - 1)(x + 3)34. Find the area bounded by the curve y =x(x - 1) and the line y = 3x1132/3233535. Find the area bounded by the given pairs of curves y = x² - x + 3 and y = 31/61/51/31/236. Evaluate the integrals:1414/312/31237. The marks scored by students in a test are recorded in the table belowCalculate the standard deviation1.842.341.342.1338. Evaluate the definite integral:33/445/232/52739. Find the value of cos 200° sin 160° + sin (- 340°) cos (- 380°)102-140. Find the number bases x and y from the following simultaneous equations25_{x }- 23_{y }= 8_{10} 34_{x} - 32_{y }= 36_{10}x = 2, y = 1x=6, y=4x = 10, y = 15x = 3, y = 441. Evaluate the integrals:-1/51/5-1/21/242. Given that P = {1, 2, 3, 4}; Q ={5, 6, 7, 8} and R = {1, 2, 3, 2, 4, 2}, it follows thatI. P = RII. n(R) = 6III. n(P ∪R) = 4Which of the statements above is (are) true?II onlyI onlyI and III onlyIII only43. 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-4xy-3x-52x²y + 4 xy + 3x + 544. For what value of x the matrix is a skew symmetric matrix-5-15145. 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 = 10, c = 3/2 and d = 1a = 1/2 , b = 5, c = -3/2 and d = 1/3a = 2 , b = 1/4, c = 3/2 and d = 1a = 1/2 , b = 0, c = -3/2 and d = 146 out of 45Time is Up!