GOZO COLLEGE BOYS SECONDARY SCHOOL Embracing Diversity Half Yearly Exams 2013-2014 Subject: Form: Time: Mathematics (Main Paper) 4 Scheme B 1 hr 40 mins Name: Class: Instructions to Candidates Calculators are allowed but all necessary working must be shown. Answer all questions. Question 1 2 3 4 5 6 7 8 9 10 11 12 13 Total Main Non Calc Global Mark Mark Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 1 of 7
1. Use your calculator to find the value of: a. (24.6) 2 correct to 1 d.p. b. 601.5 0.046 correct to 3 s.f. (4 marks) 2. If a = 4b + c a. Find a when b = 5, c = 3. b. Make b the subject of the formula. c. Find b when a = 20 and c = 4. Ans: b = Ans: b = (6 marks) 3. Simplify these expressions, writing your answer in index form: a. 9a 7 4a 3 = b. 25a 3 b 2 = 5a 2 b c. g 2 g 5 g = (4 marks) Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 2 of 7
Name of Student: Class: 4. A librarian records the number of books borrowed from the library by the school children. Number of books 0 1 2 3 4 5 Frequency 2 5 8 5 3 2 a. Find the mean number of books borrowed. b. Find the median. Mean: Median: c. Find the modal number of books. Mode: (5 marks) 5. a. Write an expression for the perimeter, P, of this rectangle. Give your answer in its simplest form. Perimeter: x 2 3x 1 b. A gas tank empties after 30 days if the two heater burners are turned on. After how long will the gas tank empty if three heater burners are turned on? days (5 marks) 6. a. Find the length of the side AC in this right-angled triangle. Give your answer to 2 d.p. A 13 cm B 19 cm C cm b. Work out the area of this trapezium. cm 2 (6 marks) Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 3 of 7
7. a. Write in its simplest form: 450 ml : 2.5 litres b. The number of children, adults and senior citizens attending Sunday mass are in the ratio of 4 : 5 : 3 respectively. There are 300 people in the church altogether. How many children are attending the mass? Children: (4 marks) 8. a. Write the following fractions in ascending order: 1 2 5 1,,, 3 9 6 4 b. In a class of 30 students, 5 4 of the students are right handed. Work out how many students are left handed. (5 marks) 9. A plastic beaker has a height of 10 cm and a circular base of diameter 7 cm. Using the button on your calculator and giving your answers to 1d.p., work out: a. the area of the circular base. 7 cm 10 cm Ans: cm 2 b. By finding the curved surface area, work out the total surface area of the same beaker. c. Calculate the volume of the beaker. Ans: cm 2 Ans: cm 3 (8 marks) Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 4 of 7
10. A group of Form 4 students were asked how many minutes they had spent in physical activity the previous weekend. These are the results, in minutes. 45 40 30 75 60 80 60 90 35 40 50 60 30 80 40 65 40 50 90 45 75 60 50 40 75 65 50 45 90 35 a. Complete the following frequency table. Time, t (mins) Tally Frequency 30 t < 40 40 t < 50 50 t < 60 70 t < 80 90 t < 100 b. Draw and label a histogram on the graph below. (7 marks) Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 5 of 7
11. Work out the values of p, q and r. Give reasons for your answers. A q B r E 130 155 C p D p = Reason: q = Reason: r = Reason: (6 marks) 12. Use the button on your calculator. a. Find the length of this arc. Give your answer correct to 1d.p. 4cm Ans: cm b. i. A farmer wants to make a circular pen which contains an area of 200m 2. What would be the radius of the circle needed? Give your answer to the nearest metre. Ans: m ii. Using the radius found in question b.i., find how long a piece of fencing would she need to go round this circle? Give your answer to 2 d.p. Ans: m (8 marks) Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 6 of 7
13. a. Complete the table from the graph of y = x 2 + 2x 4. b. Draw the graph of y = x 2 + 2x 4. x 4 3 2 1 0 1 2 x 2 4 4 2x 4 4 4 4 4 y 4 4 c. What is the minimum value of y? d. From the graph write down the values of x when x 2 + 2x 4 = 0., e. Solve the equation x 2 + 2x 4 = 3. x =, (11 marks) END OF PAPER Mathematics Secondary Schools Scheme B Form 4 2013/2014 Main Paper Page 7 of 7
GOZO COLLEGE BOYS SECONDARY SCHOOL Embracing Diversity Half Yearly Exams 2013-2014 Subject: Form: Time: Mathematics (Non Calculator Paper) 4 Scheme B 20 mins Name: Class: Instructions to Candidates Answer all questions. This paper carries a total of 20 marks. Calculators and protractors are not allowed. MARKS Mathematics Secondary Schools Scheme B Form 4 2013/2014 Non-Calculator Paper Page 1 of 4
1. Write as a fraction in its simplest form: 0.48 2. Simplify the expression: 1 (12x 9) 3 3. Write 63.4725 correct to 3d.p. 4. Fill in: 4 3 3 4 7 3 5 = 3 8 4 5. Estimate: 31.6 9.8 6. Write 224 as a product of prime factors. 7. Estimate the circumference of the circle, whose radius is 4 cm, taking = 3. 8. Find an expression for the area of this triangle. x+4 6 9. Sylvia types 350 words in 10 minutes. Find her average typing speed in words per minute. words/min Mathematics Secondary Schools Scheme B Form 4 2013/2014 Non-Calculator Paper Page 2 of 4
5 cm 10. A tea blender mixes Indian and African teas in the ratio 3 : 5. How much African tea does she mix with 15 kg Indian tea? 11. Make w the subject of the formula. f = 2w 15 kg 12. Find the angle marked d. d 65 90 25 13. The scale of a map is given as 1:50000. What is the real distance, in km, represented by 4 cm on the map? 14. Calculate the area of the parallelogram. km 3.5 cm cm 2 15. It takes 150 ml of milk to make 12 scones. How much milk would you need for 20 scones? ml 16. Change 8 1 into a decimal: Mathematics Secondary Schools Scheme B Form 4 2013/2014 Non-Calculator Paper Page 3 of 4
17. Work out 8 5 + 2 1, giving your answer as a mixed number. 18. A car travels a distance of 20 km in 15 mins. Find his average speed in km/h? 19. 5.843 10 3 is equal to: km/h a. 0.05843 b. 5843 c. 0.005843 20. Find the volume of this cuboid. 4 cm 4 cm 7.5 cm cm 3 END OF PAPER Mathematics Secondary Schools Scheme B Form 4 2013/2014 Non-Calculator Paper Page 4 of 4