23/04/2020Senior Class WAEC/NECO/UTME Mock Exams(Mathematics) 0Comments by Gate Academy Please, fill out the information below to continue. NAME EMAIL PHONE NUMBER 1. Three cities Cape Town, Prague and Tbilisi are such that Prague is located 50 km away from Cape Town on a bearing of 065°.Tbilisi is 100 km away from Cape Town on a bearing of 305°. The bearing of Tbilisi from Prague is approximately319°221°041°286°2. Two towns P(θ°N, 7°E) and Q(θ°N, 29°W) are separated by a distance of 2,002 km, measured along the parallel of latitude. If R = 6,370 km and π = 22/7, the value of θ is60°30°90°45°3. The following marks were obtained by candidates in an examination What is the modal group51-6061-7041-5071-804. What is the sum of the following number in base two?1101, 1110, 1001.100111100110100001001001000105. Sin 38° has the same value assin 218°sin 128°sin (-38°)cos 308°6. How long will it take for a sum of money invested at 8% simple interest to double itself?10.5 years11.5 years10 years12.5 yearsnot enough information7. Given that P = {1, 3, 4} and Q = {2, 3, 4}, then P∩Q is{3, 4}{1, 2}{2, 3}{2, 4}8. The marks scored by students in a test are recorded in the table belowCalculate the standard deviation1.342.341.842.139. If cos θ = √3/2, evaluate (√3-2)/ 3(3-2√3)/ 3(√3/2) -11/210. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.0475122.61.81.62.22.411. The table below shows the marks obtained by 8 students taking English and PhysicsCalculate the mean of English subject6575458512. Evaluate the determinant 1 2 -1 | 2 3 -1 | -1 1 3-2-52513. If m > n, then which of the following is NOT correct for all values of m and n?0 < m - n²-m < -nm² > n²-m² < n²m² < n14. The product of the present ages of a mother and her daughter is 432. Four years ago, the mother was exactly four times as old as the daughter. Their present ages are36, 1248, 930, 1828, 1415. If y = sin²x, find the rate at which y changes with respect to xsinx cosxsinx + cosx2cosx2sinx cosx16. Find, from the first principles, the derivative, with respect to x of 2x² + 1/x4x - 1/x1/x²4x - 1/x²4x17. An aircraft flies from Jordan(30°S, 44°E) to Riyadh(30°S, 28°W) in 26/3 hours. If radius of the earth is 6,370 km, π = 22/7, and the plane flies along the parallel of latitude, its average speed, to the nearest kilometer is462 km/h770 km/h800 km/h620 km/h18. The numbers 2, 5, 7, 8, 10, 15 and 13 are represented on a pie chart . The sum of the angles representing all numbers equal to or greater than 8 is84 degrees276 degrees48 degrees228 degrees19. 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?234 km112 km45 km359 km20. If y = x³ + 3x², find 2dy/dx - x d²y/dx²466x6x²21 out of 20Time is Up!