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. A sum of $50,000 was invested by two partners in a project which yielded $90,000. If the profit was shared in the 3 : 5, what is the difference between the amounts received by the partners?$40,000$30,000$15,000$10,000$25,0002. 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 is168 cm square63 cm square84 cm square42 cm square3. If f(1/x) = x² - 2x + 3, then f(2) =1/239/423/24. A number is selected randomly from the set of integers 1 to 20 inclusive. The probability that the number is prime is9/201/22/57/205. A square pyramid and a cuboid have the same height and the areas of their bases are equal. Find the ratio of their volumes1/61/31/21/41/86. Tara received a cash gift from her parents on her 10th birthday. On each succeeding birthday, she received twice the amount received in the previous year. If she had received a total of £31,500 by the time she was 15, the cash gift for her 12th birthday was£1,000£3,000£4,000£2,000£5,0007. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is12/31/2-28. The following data gives the heights to the nearest metre of 55 treesCalculate the interquartile range2022.9812.7310.989. If cos θ = sin 50°, then θ is45 degrees40 degrees90 degrees50 degrees10. ABC is a right triangle with the size of angle ACB equal to 74 degrees. The lengths of the sides AM, MQ and QP are all equal. Find the measure of angle QPB.35°148°135°94°11. An arithmetic sequence has five terms between 2 and 20. Determine the fourth term of the sequence.81211181412. Expand the expression (b – c)(b + c)b² - bc + cb² + 2bc + c²b² + c²b² - c²b² - 2ab + c²13. Each interior angle of an eight sided polygon is equal to120 degrees140 degrees130 degrees135 degrees14. The population of a school is 1,376. Express this to three significant figures.1,3761,3701,4701,38013815. A bucket in the form of a truncated cone of end radii 14cm and 21cm, and height of 30cm. What is the capacity of the bucket?29,260 cm³53,900 cm³41,580 cm³15,300 cm³12,320 cm³16. If y = (2/3)x + 1 andz = (2/3) y + 1, then the value of z when x = 66 is31/261312117. Reduce each number in the following expressions to two significant figures and then evaluate: ( 0.04371 × 2.44913 ) ÷ 0.047522.214.171.124.81.618. The surface area of a cylinder is 31cm2. The surface area of a similar cylinder three times as high is34cm²62cm²279cm²124cm²93cm²19. Simplify: 4 × 4-n × 22n-2102n - 12n220. Points X and Y are respectively 48m North and 20m East of point Z, The bearing of X and Y is approximately337°157°067°247°21. If z ∝ 1/y² and z = 4 when y = 3, find the value of z when y = 21391822. When the monthly budget for a household is displayed on a pie chart, the sectorial angles for the various items of expenditure are as follows: Food (162°), Education (90°), Transportation (36°), Clothing (x°), and miscellaneous (18°). If £900 is the amount budgeted for clothing, then the education budget is£900£2,000£1,250£1,800£1,50023. In the diagram given below, ∠ABD = ∠CDB = ∠PQD = 90° . If AB:CD = 3:1, the ratio of CD: PQ is 0.5 : 11 :0.751: 0.721:0.6924. The baking recipe for a piece of cake is given as 1.5 cups of sugar and 3.5 cups of flour. If a cake is baked, based on this recipe with a total of 40 cups of sugar and flour, find the number of cups of sugar used.18815201225. In the figure (not drawn to scale) given below, if AD = CD = BC and ∠BCE =960 , how much is the value of ∠DBC? 64°32°28°84°26. 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°55°106°75°27. Simplify 2(9+y)2(y-9)-2(y-9)81-y²28. The size of each interior angle of a regular polygon with n sides is 160°. The value of n is1216141829. Find the lower and upper quartiles for the set of numbers 4, 7, 8, 10, 12, 15, 17, 20, 26, 32, 407, 208, 268, 207, 3210, 2030. The difference between 0.003286 correct to three significant figures and 0.003286 correct to four decimal places is0.000090.000010.00010.00030.00000431. The number 1.5714286, corrected to five decimal places, is1.571401.571431.57141.571401.5710032. The area of the trapezium PQRS in the figure is36 cm²36√3 cm²72 cm²18√3 cm²33. 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 are28, 1448, 936, 1230, 1834. Based on the figure below, what is the value of x, if y = 10?1013111235. A ball has diameter 20cm. What is the volume of the ball, correct to two significant figures?4,200 cm³6,000 cm³5,000 cm³3,500 cm³4,000 cm³36. What is the smallest number by which 180 can be multiplied to make a perfect square?3256437. The diameter of a rod is measured as 3.70cm to three significant figures. Find the maximum error in the measurement.0.5cm0.05cm0.005cm5cm0.045cm38. 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, is58.157.657.857.539. Evaluate: 81-1/4 × 361/2 ×10001012340. PQRS is a cyclic quadrilateral and the diagonals PR and QS intersect at T. If <SPR = 47° and <PTQ = 98°,calculate <PRQ51 degrees145 degrees47 degrees94 degrees41. Solve the equation 3x + 10 = x²-5 or -2-5 or 25 or -25 or 242. How long will it take for a sum of money invested at 8% simple interest to double itself?12.5 years10.5 yearsnot enough information10 years11.5 years43. The volume of a cone of radius 6 cm and vertical height 7 cm is take (π= 22/7)21 cm326.4 cm3264 cm342 cm344. If x varies directly as the square root of n, and x = 9 when n = 9, the value of x when n = 16/9 is416/93/29/445. A cylinder has radius 14cm and length 10cm. find its curved surface area880cm²1760cm²220cm²280cm²440cm²46. If X = ( -1, 2 ) and Y = ( 0, 1 ), which of the following points lies on the line XY produced?( 1, 3 )( 3, 4 )( 2, -2 )( -3, 4 )( 3, -2 )47. If two triangles are similar, thenI. the corresponding angles are similarII. the areas of the triangles are in the same ratio as the lengths of the corresponding sides.III. the triangles are congruent.IV. the corresponding sides are proportional.Which of the above statements are CORRECT?I, III and IV onlyI and II onlyall of the aboveI, II and III onlyIII and IV only48. What is the slope of the line passing through the points J (-2, 3) and (2, 7)?423149. Find the gradients and the intercepts on the y- axis for y+3= 0m = 0, c = 3m= 0, c= -3m = 3, c = 0m = -3, c= 050. Solve for q:5 [2(q - 3)] = 16076810951 out of 50Time is Up!