Gozo College Boys Secondary Victoria - Gozo, Malta Ninu Cremona

Transcription

1 Gozo College Boys Secondary Victoria - Gozo, Malta Ninu Cremona Half Yearly Examination Form 4 Mathematics Scheme B Time: 20 Minutes NON CALCULTOR PAPER Answer all questions. Mark This paper carries 20 marks. Calculators and protractors and other mathematical instruments except rulers are not allowed. Name: Class: Answer all questions. Calculators, rulers, protractors and other mathematical instruments are not allowed. You are not required to show your working. However space for working is provided if you need it. No Question Space for Working Answer 1 Simplify 5 6 answer in index form. 5 2 giving your 2 Work out Estimate 96.9 x How many square centimeters are there in 1m 2? 5 Solve the equation 3 x + 6 = 18 6 Expand 6 ( 2p + q )

2 slices of bread are needed for a pudding for 4 persons. How many slices are needed for 6 persons? Write down the letter that corresponds to the correct answer. The circumference of the circle is about A) 20cm B) 90cm C) 60cm (Take π = 3) Make a the subject of the formula c = 2 a + 5 b 10 cm 10 The numbers 3,4,5,6 and 7 have a MEAN of 5, a of 5 and a RANGE of. 11 The Turtle is given the following Logo commands. PD FD 120 BK 120 RT 90 FD 60 HOME 12 Make a sketch of what the turtle draws to satisfy these Logo commands. A cake takes 40 minutes to bake. I put it in the oven at 10.25a.m. When do I take it out? 13 Simplify 7a 9 + 2a +19

3 14 The Gozo ferry crosses over to Malta every 30 minutes. How many trips are performed between 7.30 a.m. and a.m. 15 A Find the length of AC 6 cm B 8 cm C 16 Complete the following statement 2 5 = Write to 3 significant figures. 18 Calculate the angle marked y 60º y 70º 19 6 oranges and 4 apples cost 72 cents 5 oranges and 3 apples cost 58 cents What is the total cost of an orange and an apple? 20 A car travelled a distance of 60 km in 3 hours. Calculate the car s speed in km/hr.

4 Gozo College Boys Secondary Victoria - Gozo, Malta Ninu Cremona Half Yearly Examination Form 4 Mathematics Scheme B Time: 1hr 40 min MAIN PAPER NC Main Total Answer all questions. This paper carries 80 marks. Calculators and protractors are allowed but all necessary workings must be shown. Name: Class:. 1. Use your calculator to evaluate the following. a) 9 2 correct to 3 decimal places. b) 105 correct to 3 significant figures c) correct to the nearest If z = 3x + y a) Find z when x = 5 and y = - 3 b) Make x the subject of the formula. c) find x when z = 5 and y = -7

5 3. Calculate, giving your answers to 3 significant figures a) The length of the arc AB A 10cm a) The perimeter of the sector OAB O 58º B c) The area of the sector OAB 4. a) Write and simplify an expression for the perimeter P of this rectangle. 2x (7 marks) x + 3 b) The perimeter of the rectangle is 48cm. Find the value of x. 5. The marks obtained by 10 students in an exam were: 30, 45, 55, 55, 55, 58, 70, 75, 82, 85 a) What is the mode? b) Work out the range of marks. c) Calculate the mean mark. d) What is the median mark?

6 6. a) A car takes 4 hours to travel 160 km. What is the average speed of the car? b) Another car travels 189 km at an average speed of 45 km/hr. How long does the journey take? Give your answer in hours and minutes. (5 marks) 7. In the diagram, AP is parallel to BQ, A D P AB is parallel to DC and 6.2cm PQ is perpendicular to BQ B 8.4 cm C Q PQ is 6.2 cm and BC is 8.4 cm Calculate correct to 2 decimal places a) The area of quadrilateral ABCD c) The area of triangle ABC (5 marks)

7 8. A certain map is drawn so that 4 cm represent 100 km. a) Express the map ratio in the form 1 : n b) What real distance is represented by 13 cm on this map? (5 marks) 9. Peter, Joann and Tony divide 1800 between them in the ratio 6 : 5 : 4 respectively. How much did each get? (4 marks) 10. ABCD is a trapezium. Calculate: a) The length of AC giving your answer correct to 1 decimal place. A 4cm B 6cm D 9cm C b) The area of trapezium ABCD.

8 11. A cylindrical hole of radius 3cm is drilled through a wooden cuboid. Calculate the: a) Volume of the cuboid. 10 cm 15 cm 20 cm b) Volume of the cylindrical hole. (correct to 2 decimal places) c) Volume of the remaining wood. (correct to the nearest cm 3 ) 12. Find the size of each marked angle, giving reasons for your answers. Angle a = d 54º Reason Angle b = Reason b c a 61º Angle c = Reason Angle d = Reason (8 marks)

9 2 13. Complete the following table below for y = x + 2x 3 x x x y = x 2 + 2x a) Draw the graph of y = x 2 + 2x 3 using a scale of 2cm representing 1 unit on both axes. b) What is the minimum value of x 2 + 2x 3? c) Use the graph to write down the value of x when y = 0 d) Use the graph to write down the value of y when x = 1.5 (10 marks) END OF PAPER