Gozo College Boys Secondary Victoria - Gozo, Malta Half Yearly Examination 2010 2011 FORM 2 MATHEMATICS SCHEME A TIME: 30 minutes (NON-CALCULATOR PAPER) Question 1 2 3 4 5 6 7 Total Mark DO NOT WRITE ABOVE THIS LINE Name: Class: INSTRUCTIONS TO CANDIDATES Answer ALL questions. This paper carries a total of 25 marks. Calculators and protractors are NOT ALLOWED. Form 2 Mathematics Non Calculator Paper Option A 2011 Page 1 of 3
1. What numbers are shown on the number line below? A = B = C = D = E = (5 marks) 2. Calculate each angle marked with a letter. 80 60 A (2 marks) 3. Work out the following: a) 3 + ( 4) = (b) ( 2) ( 6) = c) ( 6) ( 3) = (d) 6 = 48 4. Work out the following and give the answers in their lowest forms: a) 10 7 5 2 1 2 (b) (c) 2 + 15 15 8 4 3 5 (3 marks) 5. Put these numbers in order of size, starting with the largest. 0.001, 0.010, 0.0011, 0.1000, 0.0111, 0.0999 (1 mark) Form 2 Mathematics Non Calculator Paper Option A 2011 Page 2 of 3
6. a) Expand the brackets and simplify where possible: i) 10 (a + b) (ii) 4(x 6) + 5(x + 8) b) Factorise fully: i) 3b + 6 (ii) 16a 12 7. a) Name these quadrilaterals. i) (ii) b) Which quadrilateral is this? i) This quadrilateral has opposite sides parallel and four lines of symmetry. ii) There are no lines of symmetry in this quadrilateral. c) In not less than 5 shapes, complete this tessellation. (6 marks) END OF PAPER Form 2 Mathematics Non Calculator Paper Option A 2011 Page 3 of 3
Gozo College Boys Secondary Victoria - Gozo, Malta Half Yearly Examination 2010 2011 FORM 2 MATHEMATICS SCHEME A TIME: 1 hr 30 minutes MAIN PAPER Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Total Main Non Calculator Global Mark DO NOT WRITE ABOVE THIS LINE Name: Class: Answer all questions. This paper carries 75 marks. Calculators and mathematical instruments are allowed but all necessary working must be shown.. 1. David decided to count the number of sweets in ten packets of sweets. Here are his results. 99, 102, 101, 99, 97, 105, 104, 95, 99, 101 a) Find the mean. b) Find the median. b) Find the mode. d) Find the range. Form 2 Mathematics Main Paper Option A 2011 Page 1 of 7
2. Change: a) 3.2 hours to hours and seconds (b) 2.1 minutes to minutes and seconds (2 marks) 3. Find each lettered angle giving reasons for your answers. A = B = C = G = Reason: Reason: Reason: Reason: (8 marks) 4. A rectangular flowerbed has length (3x + 4) cm and width (2x 1) cm as shown. a) Write down and simplify an expression for the perimeter of the flower bed in terms of x. b) If x = 5cm, what is i) the perimeter of the flower bed ii) the area of the flower bed? Perimeter = cm Area = cm 2 (6 marks) Form 2 Mathematics Main Paper Option A 2011 Page 2 of 7
5. a) Calculate the angles x and y. x = y = b) Give the bearing from A to B. c) Give the bearing from B to A. 6. Brittany is standing on the top of a cliff 300 m high. Looking out to sea she sees a large ship 800m away. a) Use a scale of 1 cm to 50 m to construct the right-angled triangle. b) Measure the angle of depression, x, of the ship from the top of the cliff. Form 2 Mathematics Main Paper Option A 2011 Page 3 of 7
7. a) Simplify the following expressions: i) 4x + 2y 5 + 6x (ii) 4a 2 + a 2 (iii) 2 4 p p 3 p b) What is the value of pqr when p = 5, q = 5 and r = 10? 8. Erin travels to work by car each day. Here is a travel graph of her journey. a) How far does she travel to work? C b) How long does her journey take? B c) Which part of the journey did he move the fastest? d) How long is the final part of the road (part C)? A e) How long does this final part of the road take? (5 marks) 9. Throughout a night the temperature decreased by 3 C every hour. At 12 midnight, the temperature is 14 C. What is the temperature a) at 1 a.m. (b) at 4 a.m. (c) 3 hours before 12 midnight? (3 marks) Form 2 Mathematics Main Paper Option A 2011 Page 4 of 7
10. Amy s telephone bill shows the length of her last 20 calls. 10.3 6.1 3 14 2.4 12.1 4.3 12.2 5.1 2.5 8.1 10.1 8 15.5 14.5 13.4 7.2 12.1 2.25 9.1 a) Complete this frequency table. Length of call (t mins) Tally Frequency 2 < t 4 4 < t 6 6 < t 8 8 < t 10 10 < t 12 14 < t 16 b) Draw a bar chart from this frequency table. c) How many calls lasted (i) at least 10 minutes but less than 16 minutes? (ii) 8 minutes at the most? (6 marks) Form 2 Mathematics Main Paper Option A 2011 Page 5 of 7
11. a) Change these mixed numbers to top-heavy fractions. 11 7 i) 2 = (ii) 6 = 12 11 b) Change these top-heavy fractions to mixed numbers. 33 82 i) = (ii) = 7 9 c) John spends 4 1 of his wages on rent and 5 2 on bills. He saves the rest. What fraction of his wages does he save? (5 marks) 12. Write each of the following numbers (i) to 1 decimal place (ii) to 2 decimal places. 3.513 12.229 7.892 i) i) i) ii) ii) ii) (6 marks) 13. a) Write 180 as a product of its prime factors. b) Find the highest common factor of 36 and 42. c) Find the least common multiple of 5, 6 and 10. d) What is the smallest sum of money that can be made up of an exact number of 20 notes and of an exact number of 50 notes? Form 2 Mathematics Main Paper Option A 2011 Page 6 of 7
14. a) Using only a ruler and pair of compasses make an accurate construction of rectangle ABCD. b) Draw the perpendicular bisector of line AD. c) Measure AC (6 marks) 15. a) Complete this table for the line y = 2x + 1. x 3 2 1 0 1 2 3 2x 6 +1 +1 y 5 b) Draw axes with x from 3 to 3 and y from 8 to 8. Draw the graph of the line y = 2x + 1. c) Write down the co-ordinates of the y-intercept of this line. d) From the graph, find the gradient (working must be shown). (8 marks) END OF PAPER Form 2 Mathematics Main Paper Option A 2011 Page 7 of 7