Please, fill out the information below to continue. Note: This is a sample test, and you can only take it for a limited period, after which you will be required to subscribe to a plan NAME EMAIL PHONE NUMBER 1. ABC is a right triangle. AM is perpendicular to BC. The size of angle ABC is equal to 55 degrees. Find the size of angle MAC.65°75°55°106°2. The profit on a business was shared between two sisters Tara and Tise in the ratio 3 : 4. If Tise received $8,000 more than Tara, find the profit shared.$65,000$42,000$56,000$32,000$24,0003. Factorise a^{2}c – 2ac^{2}a(c – 2c²)ac(c - 2a)ac(a -c)ac(a - 2c)ac(1 - 2c)4. Factorise the expression: 6k + 2 – 6kh – 2h.(1 - 2h)(3k + 1)2(1 + h)(3k + 1)(2 + 3h)(3h - 1)(3k + 1)(2k - h)2(1 - h)(3k + 1)5. If a : b = 3 : 4 and m : n = 2 : 5Find a/m : b/n3 : 108 : 155 : 915 : 810 : 36. If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $, the conversion rate of $ to N is $1 =N 20/7N 20/9N 9/7N 7/97. If U = {integers x: 0 < x < 10} P = {prime numbers y: 0 < y < 10}, and Q = {odd numbers z: 0 < z < 10}then P' ∩ Q' is{2, 4, 6, 8}{ 0 }Ø{1, 4, 6, 8}{4, 6, 8}8. A cylinder has radius 14cm and length 10cm. find its curved surface area1760cm²220cm²280cm²880cm²440cm²9. Solve the equation:(a-7) (a+2) = 0a = -4 or 5a = 2 or -7a = -2 or 7a = -1 or 810. The largest root of the equation (x - 1)² = 4x - 7 is264711. If n is an odd integer, which of the following is also odd?(n - 1)(n + 1)(n - 1)² + 1n(n + 1)n - 1n(n - 1)12. If X = ( -1, 2 ) and Y = ( 0, 1 ), which of the following points lies on the line XY produced?( -3, 4 )( 3, 4 )( 1, 3 )( 2, -2 )( 3, -2 )13. Solve the equation: 3y^{-2} = 4/27814/819/22/981/414. The expressionis equal to2/34/99/43/215. The table below shows the marks obtained by 8 students taking English and PhysicsCalculate the mean of English subject7585654516. Which of the following angles cannot be constructed with a ruler and a pair of compasses only?112.5°115°105°120°17. Factorise 8pq + 24p^{2} completely8p(q + 3p)8pq(1 + 2p)2p(4q + 12)4p(2q + 6p)8(pq + 3p²)18. Evaluate 4512 ÷ 0.05 correct to three significant figures9020009020902409029020019. Solve the equation 3x + 10 = x²-5 or -2-5 or 25 or -25 or 220. An isosceles triangle of sides 65 mm, 65 mm and 50 mm is inscribed in a circle. The radius of the circle is60 mm35 mm35.21 mm40 mm21. An arithmetic sequence has five terms between 2 and 20. Determine the fourth term of the sequence.14812111822. A girl walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. How far is R from P38.6 km42.4 km25.2 km30 km23. In which quadrant does the point (-3,4) lie?4th quadrant3rd quadrant1st quadrant2nd quadrant24. On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC?75515725. If ax² + 6x + k is a perfect square, then k equals9/a939a3/a26. 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%?$160,000$100,000$80,000$140,00027. In a regular pentagon ABCDE, /AC/ intersects /BD/ at F. Calculate <CBD.72 degrees60 degrees36 degrees108 degrees28. A sector of a circle is bounded by two radii each of length 14cm and an arc of length 12 cm. The area of the sector is63 cm square84 cm square168 cm square42 cm square29. Four of the interior angles of a pentagon are equal and each is twice the fifth angle. What is the value of each of the four equal angles?75°120°90°135°60°30. Find the lower and upper quartiles for the set of numbers 4, 7, 8, 10, 12, 15, 17, 20, 26, 32, 408, 208, 267, 207, 3210, 2031. Find m if: 9^{(m + 1)} × 3 = 27^{-m}3/5-3/5-1/331/332. Simplify: (16^{-1/2}) ÷ (64^{2/3})1/241/81/641/433. In the triangle below find the value of a 12.2 cm10.2 cm6.7 cm2.9 cm34. P is directly proportional to M and inversely proportional to N. If P = 9 when M = 24 and N = 8, find the value of P when M = 5 and N = 61118/55/25/435. How long will it take for a sum of money invested at 8% simple interest to double itself?12.5 yearsnot enough information10.5 years11.5 years10 years36. The number 0.0047049, correct to three significant figures is0.0050.004700.0047050.004710.004737. Evaluate: (2^{-3 }× 16^{3/4} × 2^{0})0121/2-1/238. Find the gradients and the intercepts on the y- axis for 3y-2x+5 = 0m = 2/3, c=-5/3m= 3, c = -5m = 1/3, c = 5/3m = 1, c = -139. Evaluate: 1/31.2631.8240. Solve the equation: 6z² - 7z - 5 = 0z = 1/3 or 5/2z = -5/3 or 1/2z = 1/2 or -5/2z = 5/3 or -1/241. The surface area of a cylinder is 31cm^{2}. The surface area of a similar cylinder three times as high is124cm²279cm²62cm²93cm²34cm²42. In a game involving two dice, Kamsi will win if she throws at least one six, or the sum of the numbers is 10. The probability of Kamsi winning at the next throw is7/181/44/91/3143. Find the measure of angle A in the figure below.51°87°103°98°44. One of the diagonals of a rhombus is 15 cm long. If the rhombus has an area of 60 cm², the length of the other diagonal is4 cm8 cm5 cm12 cm45. A grocer sells an article for £54 at a profit of 8%. What is her percentage profit or loss if she sells the same article for £44?12% profit18.5% loss12% loss18.5% profit46. A point X is equidistant from two fixed points P and Q. The locus of X is theperpendicular to the line PQparallel line to line PQperpendicular bisector of line PQparallel lines to PQ on either side of line PQ47. A number is selected randomly from the set of integers 1 to 20 inclusive. What is the probability that the number is either a multiple of 3 or a multiple of 53/101/211/209/2048. Find the gradients and the intercepts on the y- axis for 5x = 6ym = 1/6, c= -1m = 1, c = -1/2m = -1, c= -1m = 5/6, c= 049. A village is 10km on a bearing 050° from a point O. calculate how far the village is North of O.7.1km4.4km6.7km6.6km6.4km50. Simplify 2(9+y)81-y²-2(y-9)2(y-9)51 out of 50Time is Up!