HALF YEARLY EXAMINATIONS 2015/2016

Transcription

1 Levels 7-8 FORM: 3 SECONDARY SCHOOL S HALF YEARLY EXAMINATIONS 2015/2016 MATHEMATICS Main Paperr Time:1hr30min Name: Class: Instructions: Answer all questions. All necessary working must be shown. This paper carries 75 marks. Form 3 Half Yearly 2015/16 Main Paper Page 1 of 13

2 1. What is the percentage profit if a guitar costing 120 is sold for 150? 2. During a sale the prices are reduced by 20%. Find the original price if an item is marked at An apartment appreciates (increases in value) by 10% every year at the start of the year. The apartment was bought for Find it s value after: a) 1 year b) 2 years Ans: a) b) Form 3 Half Yearly 2015/16 Main Paper Page 2 of 13

3 4. Find the Simple Interest on 517 invested for 1 year at 7.5% per annum, giving your answer correct to the nearest cent. _ 5. Salt and flour are mixed in the ratio 2 : 53. How much of each is needed for a mixture of 1.1 kg? Ans: salt: flour: 6. 4 workmen can paint a hall in 12 days. How long would it take 6 workmen if they work at the same pace? Form 3 Half Yearly 2015/16 Main Paper Page 3 of 13

4 7. Calculate, showing your working: a) b) Use your calculator to work out the following giving your answer correct to 2 decimal places: a) ( 2 3 ) 4 3 Ans: b) Ans: 9. Expand: a) h(1 3h + 6h²) b) (x 3)(x + 3) Ans: Ans: Form 3 Half Yearly 2015/16 Main Paper Page 4 of 13

5 10. Factorise fully: a) 21a³ 7a² Ans: b) 18c²d² + 2cd Ans: 11. Solve: a) 7x + 1 = 8 b) y 1 y Form 3 Half Yearly 2015/16 Main Paper Page 5 of 13

6 12. a) Use the following diagram to form an equation for the perimeter of the triangle: 2w 3 3w + 5 w + 6 b) Find the value of w by solving the equation if the perimeter is 38 cm. 13. Copy and complete the table to solve this equation by trail and improvement. Give your answer correct to 1 decimal place. x² + x = 15 x² x x² + x Small / Large (3 marks) Form 3 Half Yearly 2015/16 Main Paper Page 6 of 13

7 14. Calculate the interior angle of a regular 20 sided polygon. 15. Calculate the perimeter of the following shape giving your answer correct to 2 decimal places: 14 cm 7 cm 12 cm (3 marks) Form 3 Half Yearly 2015/16 Main Paper Page 7 of 13

8 16. Solve the following simultaneous equations: a) x y = 2 3x + y = 10 _ b) 6x + 5y = 9 4x + 3y = 6 _ 17. Jasmine has asked her classmates which ice-cream taste they prefer. Her are her results: Strawberry (S) Vanilla (V) Choclolate (C) Hazelnut (H) S H H C V C C S C C H C H S C C H V S H H C C a) Fill in the table below: Ice-cream Taste Tally Frequency Strawberry Vanilla Chocolate Hazelnut Form 3 Half Yearly 2015/16 Main Paper Page 8 of 13

9 b) What is the favourite ice-cream? _ c) Draw a bar chart in the squared paper below to represent the information Jasmine gathered. 18. Three coins were tossed together 30 times and the number of heads per throw was recorded. Number of Heads Frequency Find: a) The mean number of heads per throw. _ (3 marks) Form 3 Half Yearly 2015/16 Main Paper Page 9 of 13

10 b) The modal number of heads per throw. _ c) The median number of heads per throw. _ 19. Write down the next two terms in each of the following sequences: a) 1, 2, 3, 4,, b) 5, 3, 1, 1, 3,, c) 1, 3, 6, 10,, d) 2, 3, 5, 7, 11,, Form 3 Half Yearly 2015/16 Main Paper Page 10 of 13

11 20. a) Draw the next two diagrams to this geometric sequence: b) Give the number pattern for the first 6 numbers in the sequence. c) Write the nth term for this geometric pattern. Form 3 Half Yearly 2015/16 Main Paper Page 11 of 13

12 21. a) Draw the following shape to scale using the given commands. Every turtle step is 1cm. Start where there is the turtle icon. PD REPEAT 2[FD 7 RT 90 FD 4 RT 90] b) What shape have you drawn? c) Calculate the perimeter of the shape you have drawn. 22. Simplify: a) x Form 3 Half Yearly 2015/16 Main Paper Page 12 of 13

13 5x 3z b) 2 z 2x _ c) y y _ THE END Form 3 Half Yearly 2015/16 Main Paper Page 13 of 13