Gozo College Boys Secondary School Victoria - Gozo, Malta Ninu Cremona

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1 Gozo College Boys Secondary School Victoria - Gozo, Malta Ninu Cremona Half Yearly Examination Form 3 Mathematics Scheme A Non Calculator paper Time: 30 min Name: Class: Answer all questions. This paper carries 25 marks. Calculators, protractors and other mathematical instruments, except rulers are not allowed. You are not required to show your working. However, space for working is provided if you need it. Question Total Mark 1. Simplify the following: a) 3u ( 2u) b) ab + 2ba 2. Solve the following: a) b) 4w = w (w 8) ( 1, 1 marks) y = w = Form 3-Mathematics-Scheme A-Half Yearly-Non-Calculator Paper Page 1 of 5

2 Form 3-Mathematics-Scheme A-Half Yearly-Non-Calculator Paper Page 2 of 5 (2, 2 marks)

3 3. Look at these two sequences below. Sequence A: 4, 2, 1, ½, ¼. Sequence B: 6, 2, 2, 6, 10. Which of the above sequences is linear? Explain. 4. Simplify: a) a 8 a 4 a 5 b) (2b 3 ) 2 (2 marks) 5. Adam, a store keeper buys a piano for 2,000. He makes a profit of 50%, calculate the selling price. (1, 1 marks) Selling price = (2 mark) 6. Work out: a) b) (1, 2 marks) Form 3-Mathematics-Scheme A-Half Yearly-Non-Calculator Paper Page 3 of 5

4 7. In a triangle ABC, B ^ = 90 o, AB = 6 cm and BC = 8 cm. Find AC. C B A AC = cm (1 mark) 8. Calculate the size of: a) one exterior angle of a regular decagon (10 sides). Ans: o b) one interior angle of a regular decagon. Ans: o c) Simon wishes to draw a regular decagon using LOGO. The perimeter of the decagon is 200 turtle steps. Fill in the missing commands. Repeat [ FD RT ] (1, 1, 2 marks) Form 3-Mathematics-Scheme A-Half Yearly-Non-Calculator Paper Page 4 of 5

5 9. a) In a block of flats, 24 flats have two bedrooms and 32 flats have one bedroom. Give the ratio of the number of two-bedroomed flats to the number of one bedroomed flats. Two-bedroomed flats : One-bedroomed flats : b) Share 49 amongst two people John and Kate so that their shares are in the ratio of 3 : 4 respectively. John = Kate = 10. These co-ordinates form a straight line. a) Fill in the missing co-ordinate. (1, 2 marks) (4, 1) (3, 2) (2, 3) (A, 0) A = b) Circle the correct equation of this line: y = 5 x OR y = x 5 END OF PAPER (1, 1 marks) Form 3-Mathematics-Scheme A-Half Yearly-Non-Calculator Paper Page 5 of 5

6 Gozo College Boys Secondary School Victoria - Gozo, Malta Ninu Cremona Half Yearly Examination Form 3 Mathematics Scheme A Main paper Time: 1.5 hours Name: Class: Answer all questions. This paper carries 75 marks. Calculators, protractors and other mathematical instruments are allowed. All necessary working must be shown. Question Total main Non- Cal. Global mark Mark 1. Find the missing number: (2 marks) 2. Expand and simplify: a) (z + 3)(z 3) b) (c + 2)(c + 5) + 2c(c + 7) (2, 3 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 1 of 9

7 3. Factorise fully: a) 12ac 8bd b) ½ mv 2 ½ mu 2 (1, 2 marks) 4. a) The purchase price of a watch is If this price includes VAT at 18%, find the price before VAT was added. Ans: b) Tony is given 500 for his birthday. He puts the money in a savings account with an interest rate of 5% p.a. How much interest does he earn after two years? Interest: c) What annual rate of interest is necessary to give an interest of 238 after one year on an investment of 2800? Rate: % (2, 2, 2 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 2 of 9

8 NAME OF STUDENT: CLASS: 5. a) In a school, 33 classrooms are required if each class has 32 students. How many classrooms would be required if the class size was reduced to 22? Ans: classes b) The ratio of two sums of money is 4 : 5. The first sum is 6. What is the total sum of money? Total sum = (2, 2 marks) 3 6. Use trial and improvement to solve the equation x + x = 335. Give the answer correct to 1 decimal place. x x 3 x 3 + x Large or Small Ans: x = (4 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 3 of 9

9 7. In the figure, AB = 11.7 cm, AD = 9.9 cm and BC = 7.3 cm. a) Find side BD, giving your answer to 1 decimal place. B 11.7 cm 7.3 cm A 9.9 cm D C BD = cm b) Find side DC and hence find side AC. DC = cm AC = cm (2, 2, 1 marks) 8. Simplify these algebraic fractions as much as possible: a) b) (1, 2 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 4 of 9

10 NAME OF STUDENT: CLASS: 9. a) Write down the next two terms of the following sequences. i) 27, 21, 15, 9,,. ii) 2, 6, 12, 20,,. b) This is a pattern made up of rectangles. Pattern 1 Pattern 2 Pattern 3 Pattern 4 i) Draw the next pattern in the space provided below. ii) Complete this table Pattern number Number of rectangles iii) Write down the n th term. iv) How many rectangles are there in the 50 th pattern? v) Which pattern will have 292 rectangles? (2, 1, 2, 2, 1, 2 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 5 of 9

11 10. ABCDE is a pentagon. ABF and DCF are straight lines such that 4x + y = 180 o A 3x B 4x y F E 4x 3x 4x y C D a) Calculate the sum of interior angles of a pentagon. o b) Find the value of x. o c) What is the value of angle ABC? o d) Calculate the value of y. o (2, 2, 1, 1 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 6 of 9

12 11. OAB is a sector of a circle of radius 4.5cm. a) Calculate the length of the arc AB giving your answer correct to 1 d.p. 4.5cm 120 o Length of arc = cm b) Calculate the area of sector OAB giving your answer correct to 2 d.p. Area of sector = cm 2 (3, 3 marks) 12. Daniel, a form 3 student was asked how many hours he spends on the following activities on Saturdays. Fill in the table and draw a pie chart to represent this information. Activity Time in hours Angle Sleeping o Watching TV 1 15 o Playing video games Chatting on the computer 3 2 Homework 3 Eating 1 15 o Go out with friends Total o 4 (2, 3 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 7 of 9

13 13. A plane leaves airport A and flies a distance of 62 km to airport B on a bearing of 060. It then changes direction and flies a distance of 55 km to another airport C on a bearing of 110 from B. B 62 km 55 km C A a) Draw and label a scale diagram to show the plane s journey. Use a scale of 1 cm to represent 10 km. N A b) Measure the length of AC. cm c) What is the true distance between airports A and C? km d) Measure the bearing of airport C from airport A. o (4, 1, 1, 1 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 8 of 9

14 14. a) Complete the table for y = 2x + 3. x x y b) Draw and label the graph of y = 2x + 3 on the grid below. Use 1cm to represent 1 unit on the y-axis and 2cm to represent 1 unit on the x-axis. c) From the graph, find the gradient for the line y = 2x + 3. (Working must be shown.) d) Write down the co-ordinates of the y-intercept of this line. Co-ordinates of y-intercept = (, ) END OF PAPER (2, 4, 2, 1 marks) Form 3-Mathematics-Scheme A-Half Yearly-Main Paper Page 9 of 9