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 cylinder has radius 14cm and length 10cm. find its curved surface area 880cm² 220cm² 440cm² 1760cm² 280cm² 2. The surface area of a cylinder is 31cm2. The surface area of a similar cylinder three times as high is 279cm² 62cm² 34cm² 93cm² 124cm² 3. If y is a positive number, for what values of y is 4 + 3y < 10 ? 0 < y < 2 y < 2 1 < y < 2 0 > y > 2 4. Solve the equation: 3y-2 = 4/27 81/4 4/81 81 2/9 9/2 5. The diameter of a rod is measured as 3.70cm to three significant figures. Find the maximum error in the measurement. 0.045cm 0.05cm 5cm 0.5cm 0.005cm 6. The area of the trapezium PQRS in the figure is 36√3 cm² 36 cm² 72 cm² 18√3 cm² 7. 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° 135° 94° 148° 8. Evaluate: 81-1/4 × 361/2 ×100 3 10 1 0 2 9. The marks scored by students in a test are recorded in the table belowCalculate semi interquartile range 1 0 2 3 10. A parallelogram of area 425 cm² has a height of 17cm. The length of the base is 25 cm 12.5 cm 50 cm 20 cm 11. The size of angle AOB is equal to 132 degrees and the size of angle COD is equal to 141 degrees. Find the size of angle DOB. 43° 93° 23° 53° 12. Find the equation of the line passing through (2, -1) and parallel to the line 2x – y = 4. y = 5x-2 y = 2x-5 y = 2/ 5x-1 y = x+1 13. Anne spent a quarter of her food budget on provisions, half the balance on staples and one-third of the remainder on beef. If she was left with $350, how much was her food budget? $800 $700 $1,400 $1,050 $2,100 14. The chord BA is extended to a point T such that CT becomes a tangent to the circle at point If ∠ATC = 30° and ∠ACT = 50°, then the angle ∠BOA is 2° 150° 80° 100° 15. Evaluate : 1/3 2 6 1/2 16. For the following set of numbers: 8, 3, 7, 5, 4, 2, 6, 5, 1, 3the range and the median are, respectively, 8, 4.5 7, 3 7, 4.5 10, 5 7, 5 17. 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? 120° 135° 60° 75° 90° 18. The bearing of a point P from an observer Q is S37°W. The bearing of Q from P is S 37° E S 53° W N 53° W N 37° E 19. 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? 18.5% loss 12% loss 18.5% profit 12% profit 20. Factorise 8pq + 24p2 completely 8(pq + 3p²) 2p(4q + 12) 8p(q + 3p) 8pq(1 + 2p) 4p(2q + 6p) 21. In the figure, PQ and RS are two concentric arcs, center O. If the ratio of the lengths of the arcs is 1:4, the ratio of the areas of sector OPQ to ORS is 3:16 1:8 1:4 1:16 22. 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 is 168 cm square 84 cm square 42 cm square 63 cm square 23. Which of the following is not an exterior angle of a regular polygon? 21 degrees 15 degrees 24 degrees 18 degrees 24. Find the gradients and the intercepts on the y- axis for y+3= 0 m= 0, c= -3 m = 0, c = 3 m = -3, c= 0 m = 3, c = 0 25. Find the area of the shaded region in the given figure of square ABCD 128 cm² 192 cm² 128 cm² 148 cm² 26. If X = ( -1, 2 ) and Y = ( 0, 1 ), which of the following points lies on the line XY produced? ( 3, -2 ) ( 1, 3 ) ( 3, 4 ) ( -3, 4 ) ( 2, -2 ) 27. All the vertices of an isosceles triangle lie on a circle and each of the base angles of the triangle is 65°. The angle subtended at the centre of the circle by the base of the triangle is 100 degrees 115 degrees 65 degrees 130 degrees 28. Which two angles are not supplementary? 30 degrees and 150 degrees 89 degrees and 91 degrees 23 degrees and 177 degrees 5 degrees and 175 degrees 29. Find the slope of the line 2 2/3 1/2 1 30. 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 13/30 1/30 1/15 31. In the diagram below , WXYZ is a cyclic quadrilateral in which WZ = 6cm, ZY = 8.5cm and the diagonal WY = 10 cm. If XW = XY, calculate <XYW 43° 53° 18° 78° 32. 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 £4,000 £5,000 £2,000 £1,000 £3,000 33. 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 $140,000 $160,000 $80,000 34. The table below shows the marks obtained by 8 students taking English and PhysicsCalculate the mean of English subject 65 85 45 75 35. 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 24 cm² 96 cm² 48 cm² 193 cm² 36. 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 tripled reduced by a factor of 4 doubled halved 37. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0 3y = 5x-2 y = 5/ 3x-2 y = x+2 3y = 2x+5 38. The probability of obtaining an odd number in a single toss of a fair die is 2/3 1/3 1/2 1/6 39. 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 = 6 5/4 18/5 5/2 11 40. Evaluate, without using calculator/tables, (0.35 × 0.84) ÷ 0.0105 28.0 2.8 0.28 280 0.0028 41. Factorise 27 – 3p2 completely 3(p + 3)(p - 3) 3(3 + p)(3 - p) (3 + p)(3 - p) 3(p- 3)² (p + 3)(p- 3) 42. Find the area of the shaded region. 175 sq. cm 73 sq. cm 208 sq. cm 270 sq. cm 43. A girl starts at a point X and walks 3km due East to Y. she then walks 4km due North to Z. find the bearing of Z from X (to the nearest whole degree). 045° 060° 090° 053° 037° 44. Each interior angle of an eight sided polygon is equal to 135 degrees 130 degrees 140 degrees 120 degrees 45. In the diagram below , WXYZ is a cyclic quadrilateral in which WZ = 6cm, ZY = 8.5cm and the diagonal WY = 10 cm. Calculate <WXY 76° 95° 115° 21° 46. Simplify: (16-1/2) ÷ (642/3) 1/2 1/4 4 1/8 1/64 47. Find the area of the quadrilateral shown in the figure. 225 169 144 126 48. Factorise the expression: 5xy – 8by – 10ax + 16ab (y -3b)(5x = 8b) (y - 2a)(5x - 8b) (y - 3b)(5x - 8b) (y - 2a)(3b + y) (y + 3b)(5x - 8b) 49. From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.A second ship is 48 km away on a bearing of 220º. The distance separating the ships is 62 km 50 km 34 km 55 km 50. In which quadrant does the point (-3,4) lie? 2nd quadrant 4th quadrant 3rd quadrant 1st quadrant 1 out of 50 Time is Up! Time's up