ST CLARE COLLEGE GIRLS SECONDARY SCHOOL HALF-YEARLY EXAMINATIONS FORM 3 MATHEMATICS TIME: 1h 30min

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1 ST CLARE COLLEGE GIRLS SECONDARY SCHOOL HALF-YEARLY EXAMINATIONS FORM 3 MATHEMATICS TIME: 1h 30min MAIN PAPER Question Mark Total Main Non- Calculator Global Mark DO NOT WRITE ABOVE THIS LINE B Name: Class: Answer all questions. This paper carries 75 marks. Calculators and other mathematical instruments are allowed but all necessary working must be shown. 1. On one particular day the temperature in Moscow was 5 C at noon. Later in the evening, at 7p.m., the temperature went down to 8 C. (a) Work out the temperature drop? C (b) By midnight, the temperature has dropped by a further 13 C. What is the temperature at midnight? (c) By how much did the temperature drop from noon till midnight? C C (5marks) Mathematics/Form 3/Main Scheme B/2013/Page 1 of 8

2 2. The following is an extract of a spread-sheet used to generate sequences. (a) Underline the correct formula to generate the odd number in cell B3: (i) = A1*2 1 (ii) = A3*2 1 (iii) = A3*(2 1) (b) Use the formula A4*10 to get the answer in cell C4. (c) Write down a formula to generate the square number in D4. 3. The following LOGO commands draw a regular pentagon of side 150 turtle steps. (a) Continue this sentence; (4 marks) The sum of the exterior angles of a regular polygon is equal to. (b) Work out the size of the interior angle of a regular pentagon using the formula (c) Fill in the blanks to finish off the instructions: CG PD REPEAT [ FD 150 RT ] (5 marks) Mathematics/Form 3/Main Scheme B/2013/Page 2 of 8

3 4. Petra and Jane both simplified the following: ( ) Petra s answer was while Jane s answer was. Write down the working to show who was right? Name (4 marks) 5. a) Solve the equations below. The answers can be found in the grid given below. ) ii) iii) x = x = x = b) Fill in numbers so that the equation below has a solution x = 3. x (8 marks) Mathematics/Form 3/Main Scheme B/2013/Page 3 of 8

4 6. (a) It takes Mark ¼ of an hour to walk from home to his work place 1 km away. i) At this rate, find how far Mark walks in 1 hour? ii) What is his speed in km per hour (km/h)? km km/h (b) A swimming pool is 50m long. How many lengths of the pool must Federica swim to cover 1 km? lengths (c) How many bottles of lemonade, each containing 350 ml, can be filled from a barrel containing 70 litres? bottles (7 marks) 7. RHOMBUS ARROWHEAD SQUARE REGULAR HEXAGON RECTANGLE PARALLELOGRAM EQUILATERAL TRIANGLE KITE PENTAGON TRAPEZIUM Choose the correct shape/s from the list above. (Shapes can be used more than once.) i), and are regular polygons. ii) The sum of the interior angles in an is 180. iii) In a, and a the diagonals meet at right angles. iv) The exterior angle of a is 60. v) A has only one pair of parallel sides. (9 marks) Mathematics/Form 3/Main Scheme B/2013/Page 4 of 8

5 8. A school ground shown in the diagram is made up of two identical grey small spaces and another two identical pair of large white spaces. The measurements are in meters. Use the diagram to work out: (a) The length of DE in meters. A B 30m C 20m m H I 40m (b) The length of GF in meters. J D m (c) The outer perimeter of the whole school ground, in meters. G F E (d) The area of the small grey square DEFJ. m (e) The area of large white BCDJ. m 2 (f) The total area of the school ground. m 2 m 2 (10 marks) Mathematics/Form 3/Main Scheme B/2013/Page 5 of 8

6 9. Kelly has a can of Coke and a can of diet Coke. a) The can of coke is half full while that of diet coke is a quarter empty. Coke Diet Coke i) Draw on the diagram the amount of liquid in the Coke and Diet Coke cans. ii) Given that each can holds a maximum of 2l (2 litres), work out the amount of Coke and Diet Coke in each can (give your answers in l). Can of coke has l Can of diet coke has l b) The next day, Kelly drank 500 ml from each can. i) Find the amount of coke and diet coke left in each can (give your answers in ml). Can of coke has ml Can of diet coke has ml ii) Draw, on the diagram below, the amounts of coke and diet coke left in each can. Coke Diet Coke (7 marks) Mathematics/Form 3/Main Scheme B/2013/Page 6 of 8

7 10. An aquarium in the form of a cuboid, has dimensions L = 100 cm, B = 800 mm and H = 0.5m. (a) Change the lengths B and H to cm. B H L Length B = cm Length H = cm (b) Work out the volume of the aquarium when full. Give your answer in cm 3. (c) A stone, in the form of a cube, is placed in the aquarium. When the cube is fully immersed, 64 cm 3 of water pour out from the aquarium. cm 3 (i) Work out, in cm, the length of one side of the cube. Aquarium (ii) Work out the total surface area of the cube. cm cm 2 (8 marks) Mathematics/Form 3/Main Scheme B/2013/Page 7 of 8

8 11. Amanda does a survey to find out how much pocket money (in euro) her classmates get each week a) Complete the tally chart below. Note that p stands for pocket money. POCKET MONEY TALLY FREQUENCY 0 p < 5 5 p < p < 15 b) Complete the bar chart below by shading the appropriate boxes. 0 p < 5 5 p < p < 15 c) Which pocket money group was most common? END OF MAIN PAPER (8 marks) Mathematics/Form 3/Main Scheme B/2013/Page 8 of 8