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. If 2x - y = 6 and 2x + 4y = 1, the value of 4x + 3y is 7 3 5 12. In which quadrant does the point (-3,4) lie? 1st quadrant 2nd quadrant 4th quadrant 3rd quadrant3. Consider the triangle ABC shown in the following figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠BCD=∠BAC∠BCD=∠BACWhat is the ratio of the perimeter of ΔADCΔADC to that of the ΔBDCΔBDC? 5/9 6/9 7/9 8/94. Each interior angle of an eight sided polygon is equal to 120 degrees 135 degrees 140 degrees 130 degrees5. 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? 75 5 15 76. The chances of occurrence of three independent events X, Y and Z are 1/3, 1/4 and 2/5. What are the chances of occurrence of only Y and Z ? 1/10 1/15 1/30 13/307. What is the slope of the line passing through the points J (-2, 3) and (2, 7)? 1 3 4 28. If cos θ = sin 50°, then θ is 50 degrees 45 degrees 40 degrees 90 degrees9. The interior angles of a polygon add up tp 1980°. How many sides has the polygon? 12 15 10 1310. PQRS is a cyclic quadrilateral and the diagonals PR and QS intersect at T. If <SPR = 47° and <PTQ = 98°,calculate <PRQ 51 degrees 94 degrees 47 degrees 145 degrees11. The sum of the ages of a father and his daughter is 85 years. Five years ago, the father was exactly four times as old as his daughter. The present age of the father is 57 yr. 61 yr. 65 yr. 53 yr.12. In the diagram given below, ∠ABD = ∠CDB = ∠PQD = 90° . If AB:CD = 3:1, the ratio of CD: PQ is 1:0.69 1: 0.72 1 :0.75 0.5 : 113. Which of the following is not an exterior angle of a regular polygon? 18 degrees 21 degrees 24 degrees 15 degrees14. Factorize 9y^{2}– 1 (6y - 1)² (3y + 1)² (3y - 1)(3y + 1) (9y - 1)² (3y - 1)²15. Which two angles are complementary? 21 degrees and 78 degrees 58 degrees and 22 degrees 140 degrees and 40 degrees 67 degrees and 23 degrees16. Find the slope from the points 2 -3 -2/3 917. The equation of the line is y = 1/2x -2 y = x+2 -y = x+2 y = -2/3x + 218. Solve for q:5 [2^{(q - 3)}] = 160 10 8 7 6 919. In the triangle below find the value of a 2.9 cm 6.7 cm 10.2 cm 12.2 cm20. The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm^{2}. Find angle T in degrees. 34.8° 55.2° 64° 12.3°21. Which of the following gives the volume of a cylinder of height ‘h’ cm and base radius ‘r’ cm? ¼πr²h 2πrh πrh πr²h 2πr²h22. If f(1/x) = x² - 2x + 3, then f(2) = 3 2 3/2 1/2 9/423. Find m if: 9^{(m + 1)} × 3 = 27^{-m} -3/5 3 1/3 -1/3 3/524. ABCDEF is a regular hexagon of side 6 cm. What is the area of triangle BDF? 22 cm² 27√3 cm² 24 cm² 32√3 cm²25. Find the gradients and the intercepts on the y- axis for 5x = 6y m = 5/6, c= 0 m = 1, c = -1/2 m = 1/6, c= -1 m = -1, c= -126. 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 are 30, 18 48, 9 28, 14 36, 1227. If -1 is a root of the equation -ax² + 6x + 8 = 0, the value of 'a' -2 2 -1 128. 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 £1,800 £2,000 £1,250 £900 £1,50029. When the price of eggs was raised by £2 an egg, the number of eggs which can be bought by Tara for £120 is reduced by 5. What is the present price that Tara would buy an egg? £8 £7 £6 £1030. Find the slope of the line 1 1/2 2 2/331. The expressionis equal to 4/9 2/3 3/2 9/432. The quantity x varies inversely as y, and y varies directly as the square of z. If z is halved, then the value of x is quadrupled halved tripled doubled reduced by a factor of 433. Each of the exterior angles of a regular polygon is 24°. How many sides has the polygon ? 10 12 8 1534. One of the roots of the equation x² + kx - 15 = 0 is 3. The value of K is -5 -2 5 235. Find the equations of the straight lines joining (m, 2n) and (3m, n) nx - 3my - 10mn = 0 3nx +my - 8mn = 0 nx + 2my -5mn = 0 x+2ny -7mn = n36. Two brothers Kameel and Kafeel owned a business in which the ratio of shares, was 3 : 2 respectively. Kafeel later sold 1/2 of his share to Kameel for £12,000. What was the value of the business? £60,000 £48,000 £42,000 £24,000 £84,00037. If 45% of the Nigerian naira (N) is equal to 35% of a foreign currency $, the conversion rate of $ to N is $1 = N 9/7 N 7/9 N 20/9 N 20/738. Factorise the expression: 6k + 2 – 6kh – 2h. (1 - 2h)(3k + 1) 2(1 - h)(3k + 1) (3k + 1)(2k - h) 2(1 + h)(3k + 1) (2 + 3h)(3h - 1)39. Evaluate, without using calculator/tables, (0.35 × 0.84) ÷ 0.0105 0.28 280 0.0028 28.0 2.840. A point K moves on one side of a straight line /LM/ such that <LKM = 90°. The locus of K is an arc of a circle a right angled triangle semi circle circle41. Factorise 27 – 3p^{2} completely (3 + p)(3 - p) 3(p- 3)² 3(p + 3)(p - 3) (p + 3)(p- 3) 3(3 + p)(3 - p)42. If ax² + 6x + k is a perfect square, then k equals 9a 3 9 9/a 3/a43. Correct each of the numbers 38.7152 and 0.05381 to two significant figures and find their product , correct to two significant figures. 2.0 0.21 2.1 1.9 2.644. Find the equations of the straight lines passing through the point (2, -1) and the gradient 2 y = 2x - 5 y = x +1 y = 4x + 9 y = x + 745. The largest root of the equation (x - 1)² = 4x - 7 is 4 6 2 746. The marks scored by students in a test are recorded in the table belowCalculate the mean 4.78 4.34 5.67 2.3247. The area of the triangle shown is 5 cm². The angle a is 30° 60° 45° 90°48. In the diagram, PQR and RST are two semicircles with diameters 7 cm and 3.5 cm respectively and PT = 3.5 cm respectively and PT = 3.5 cm.What is the area of the region PQRST enclosed by the figure, to the nearest whole number 193 cm² 24 cm² 48 cm² 96 cm²49. 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. 75° 106° 55° 65°50. Find the measure of angle A in the figure below. 98° 51° 103° 87°51 out of 50Time is Up!