20/04/2020Free MOCK Exams IGCSE/GCSE 0Comments by Gate Academy 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. The letters of the word MISSISSIPPI are cut and placed in a bag. If one letter is drawn randomly from the bag, the probability that it is neither an I nor a S is 6/11 3/11 1/2 8/112. In the diagram, O is the center with radius 7 cm and <QPR = 30°. Find the length of arc QR (Take π = 22/7) 22/3 cm 11/3 cm 21/2 cm 12 cm3. Factorise 2d^{3}+ d^{2} (3d – 1) 2d²(3d -1) d²(5d - 1) 2d²(3d +1) d²(5d + 1) 3d(2d + 5d)4. The sides /AB/ and /AC/ of a triangle ABC are produced to D and E respectively such that <DBC = 125° and <BCE = 95°. Find the value of <BAC 90 degrees 40 degrees 85 degrees 55 degrees5. A bearing of 310°, expressed as a compass bearing is N 50°W S 50° W N 40° W S 40° W6. 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 tripled halved reduced by a factor of 4 quadrupled doubled7. Five years ago, a father was four times as old as his son. In five years time the father will be twice as old as the son. If x and y are the present ages of the father and the son respectively, the equations relating x and y are: 4y - x = 15; x - 2y = 5 4y - x = 25; x - 2y = 5 4y - x = 0; x- 2y = 0 x - 4y = 15; y - 2x = 58. In the triangle below find the value of a 12.2 cm 2.9 cm 6.7 cm 10.2 cm9. Which two angles are complementary? 140 degrees and 40 degrees 58 degrees and 22 degrees 21 degrees and 78 degrees 67 degrees and 23 degrees10. For the following set of numbers: 8, 3, 7, 5, 4, 2, 6, 5, 1, 3the range and the median are, respectively, 7, 3 7, 5 7, 4.5 8, 4.5 10, 511. The speed of 144 km/hr, expressed in metres per second is 36 72 40 28 2012. The following marks were obtained by candidates in an examination Calculate the median 12.9 54.6 45.7 10.813. Simplify: 4 × 4^{-n} × 2^{2n-2} 2 0 2n 1 2n - 114. Find the size of angle MBD in the figure below 72° 23° 79° 55°15. Which two angles are not supplementary? 30 degrees and 150 degrees 23 degrees and 177 degrees 5 degrees and 175 degrees 89 degrees and 91 degrees 16. Factorise 16b^{2}– 1 (4b – 1)(4b + 1) (2b – 1)(8b – 1) (4b – 1)(4b – 1) (2b – 1)(8b + 1) (16b + 1)(b – 1)17. The cost(y) of feeding n people for a week is given as y = 250 + 80n, where y is expressed in dollar ($). What is the cost of feeding two persons? $160 $660 $80 $41018. Which of the following angles cannot be constructed with a ruler and a pair of compasses only? 120° 115° 112.5° 105°19. The greatest value of an integer x which satisfies the inequality 2 - 4x > 15 is 3 -2 -3 4 -420. Evaluate: (2^{-3 }× 16^{3/4} × 2^{0}) 0 1/2 1 -1/2 221. The two perpendicular sides of a right-angled triangle are 9 cm and 12 cm in length. The smallest angle of the triangle is 30 degrees 36.9 degrees 36 degrees 53.1 degrees22. The exterior angles of a quadrilateral are given as x, 2x + 5, x+ 15 and 3x - 10. The value of x is 60 degrees 52.86 degrees 50 degrees 61.43 degrees23. Two chords AC and BD of a circle intersect inside the circle at E. If <BAC = 35°, <CAD = 42° and <ABD = 70°, find <ACB. 77 degrees 42 degrees 70 degrees 33 degrees24. If 3y + 4 - ( y/3) = y + 9What is Y ? 5 4 6 325. Which point is the reflection of the point (–7, 5) over the line y = –x? (-5, 7) (7, -5) (7, 5) (5, -7)26. Arrange the following numbers in ascending order of magnitude 5/6, 11/13, 0.837 5/6, 0.837, 11/13 11/13, 5/6, 0.837 0.837, 11/13, 5/6 5/6, 11/13, 0.837 0.837, 5/6, 11/1327. Find the total surface area of a closed cylindrical container with radius 5 cm and a height of 34 cm. 130π sq. cm 320π sq. cm 390π sq. cm 220π sq. cm28. Find the area of the shaded region. 175 sq. cm 270 sq. cm 73 sq. cm 208 sq. cm29. Evaluate 4512 ÷ 0.05 correct to three significant figures 902000 90240 90200 902 902030. 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? $25,000 $10,000 $40,000 $30,000 $15,00031. How long will it take for a sum of money invested at 8% simple interest to double itself? 10.5 years 10 years not enough information 11.5 years 12.5 years32. An arc of a circle subtends an angle of 45° at the circumference. The arc must beI. a minor arcII. a semicircleIII. one-quarter of the circumference of the circleIV. a major arcWhich of the above is/are correct? none of the above I, II and IV only all of the above III only II and IV only33. In a senior secondary school certificate class, 48 students offer at least one of Economics and Physics. If 36 students offer Economics while 25 offer Physics, find the number of students who offer Economics but not Physics. 11 13 12 23 2534. Which of the following fractions is less than one quarter? 14/55 17/70 3/11 21/8035. Given that a+b = 3/2 and a-b = 5/2, the value of 2b + a is 1 1/2 -2 2/336. 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 £2,000 £1,000 £3,000 £5,00037. Two triangles have the same area if the three angles of one are equal to the three angles of the other they are similar the three sides of one are equal to the three sides of the other they lie between the same parallels38. 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 50 km 34 km 62 km 55 km39. Find the area of the quadrilateral shown in the figure. 126 225 169 14440. 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 20/7 N 20/941. A regular polygon with (2m + 1) sides has each interior angle equal to 144°. The value of m is 5 9/2 8 1042. 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? 41,580 cm³ 15,300 cm³ 12,320 cm³ 53,900 cm³ 29,260 cm³43. 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 84 cm square 168 cm square 63 cm square 42 cm square44. A cylinder has radius 14cm and length 10cm. find its curved surface area 280cm² 220cm² 1760cm² 880cm² 440cm²45. If tan θ = 5/12,then the value of sin θ - cos θ is 7/13 5/13 - 7/13 12/1346. The interior angles of a polygon add up tp 1980°. How many sides has the polygon? 13 10 15 1247. A village is 10km on a bearing 050° from a point O. calculate how far the village is North of O. 6.7km 4.4km 7.1km 6.4km 6.6km48. If m and n are the lengths of the diagonals of a rhombus of side x, andm² + n² = kx², the value of k is 4 2 1 349. The following data gives the heights to the nearest metre of 55 treesCalculate the interquartile range 20 22.98 10.98 12.7350. In the figure, the point on segment JK that is four times as far from K as it is from J is: (0, 2) (-1/3, 7/3) (2,0) (-1, 3)51 out of 50Time is Up!