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Transcript
DIRECTORATE FOR QUALITY AND STANDARDS IN EDUCATION Department of Curriculum Management Educational Assessment Unit National Sports School Entrance Examination 2016 FORM 2 MATHEMATICS Non Calculator Paper Name___________________________________ TIME: 20 minutes Index Number___________ Directions On the following pages are multiple-choice questions. For all questions: Read each question carefully and underline the correct answer. Only one of the answers provided is correct. Calculators, protractors and other mathematical instruments are not allowed. Answer all the 20 questions. Each question carries 1 mark 1) Choose the decimal that is equal to (A) 0.17 (B) 0.068 17 . 25 (C) 0.68 (D) 0.017 (E) 17.25 __________________________________________________________________________________ 2) A number that comes between 3.202 and 3.22 is (A) 3.112 (B) 3.023 (C) 3.223 (D) 3.319 (E) 3.219 __________________________________________________________________________________ 3) The value of −13 + 9 is: (A) −4 (B) 4 (C) 22 (D) 117 (E) 0 __________________________________________________________________________________ 4) Given that the area of a parallelogram is 24 cm2 and its height is 6 cm, then the base is: (A) 18 cm (B) 2 cm (C) 30 cm (D) 8 cm (E) 4 cm __________________________________________________________________________________ 5) Expand: 2(3x + 5) (A) 6x + 10 (B) 6x + 5 (C) 5x + 7 (D) 6x + 7 (E) 5x + 10 __________________________________________________________________________________ 6) Factorise completely: 4x + 12y (A) 2(2x + 6y) (B) 4(x +12y) (C) 3(x + 9y) (D) 2(x + 6y) (E) 4(x + 3y) __________________________________________________________________________________ 7) The value of: (A) 35 5 + 2 × (6 – 1) (B) 16 (C) 15 (D) 41 (E) 12 __________________________________________________________________________________ 8) The marked angle is approximately equal to: (A) 135 (B) 45 (C) 315 (D) 265 (E) 225 __________________________________________________________________________________ Page 2 of 4 Mathematics Non Calculator Entrance Exam to Sports School Form 2 – 2016 9) Evaluate: (A) 3 5 4 × (B) 15 4 9 7 14 (C) 1 (D) 2 7 (E) 45 12 40 __________________________________________________________________________________ 10) As a product of prime factors, 540 is equal to: 2 3 3 (A) 2 ×3 ×5 2 (B) 2 ×3 ×5 2 (C) 2 ×3×5 2 2 3 (D) 2 ×3×5 (E) 2×3×5 2 __________________________________________________________________________________ 11) AB and CD are straight lines. The angle marked a is equal to: C 32 A a x x B D (A) 32 (B) 64 (C) 116 (D) 82 (E) 90 __________________________________________________________________________________ 12) The full capacity of a car fuel tank is 60 litres. How much fuel is shown on the fuel gauge? F E (A) 23 l (B) 28 l (C) 20 l (D) 17 l (E) 60 l __________________________________________________________________________________ 13) Which of the following shapes does not tessellate? (A) (B) (C) (D) (E) __________________________________________________________________________________________ 14) The seating capacity of a football stadium is 20 000. At a match, 20% of the seats remain empty. If 10% of the spectators are female, how many of the spectators are female? (A) 14 400 (B) 18 000 (C) 14 000 (D) 90 (E) 1 600 __________________________________________________________________________________ Mathematics Non Calculator Entrance Exam to Sports School Form 2 – 2016 Page 3 of 4 15) Which is the best estimate of the perimeter of this triangle? 2.5 m (A) 8 m (B)13 m (C) 30 m (D) 17 m (E) 20 m __________________________________________________________________________________ 16) Look at this sequence: −4 , −3.2 , −2.4 , −1.6, _____, _____, … The 6th term of the sequence is: (A) −0.8 (B) 0 (C) 0.8 (D) 4 (E) 1.6 _________________________________________________________________________________ 17) Which of the following is not a property of a rectangle? (A) Order of rotational symmetry is 4 (B) 2 lines of reflective symmetry (C) Opposite sides are parallel (D) All angles are right angles (E) Adjacent sides are not equal __________________________________________________________________________________ 18) 15 is the mean of the five numbers 6 , 12 , 8 , 29 and x. x is equal to: (A) 5 (B) 10 (C) 15 (D) 20 (E) 25 __________________________________________________________________________________ 19) A number from 1 to 42 is selected at random. The probability that this number is a multiple of 5 is: (A) 1 2 (B) 5 42 (C) 1 5 (D) 37 42 (E) 4 21 __________________________________________________________________________________ 20) The image of (A) after a 90 clockwise rotation about × is: (B) (C) (D) (E) __________________________________________________________________________________________ Page 4 of 4 Mathematics Non Calculator Entrance Exam to Sports School Form 2 – 2016