Instructions to Candidates

Transcription

1 Gozo College Boys Secondary School Victoria - Gozo, Malta Half Yearly Examination Form 2 Mathematics - Level 7-8 Non-Calculator Paper Time: 30 mins Name: Class: Question Total Mark Instructions to Candidates Answer all questions. This paper carries a total of 25 marks. Calculators and protractors are not allowed.

2 1. What is the value of ? (1 mark) 2. A a. Write down the reading at point A from the above number line. b. Round correct to 2 decimal places. (2 marks) 3. Work out: a. 2 +, giving your answer as an improper fraction. b., giving your answer in its lowest terms. (5 marks) 4. Express 144m as a percentage of 0.2 km. (3 marks) Mathematics Secondary Schools Levels 7-8 Form Non-Calculator Paper Page 2 of 3

3 5a. What is the HCF of 36 and 20? b. Express 60 as a product of its prime factors. (4 marks) 6. Arrange the following in ascending order , 64%,, (3 marks) 7. Make a rough estimate of (3 marks) 8. Calculate the total surface area of the cuboid below. 3 cm 8 cm 2 cm cm² (4 marks) END OF PAPER Mathematics Secondary Schools Levels 7-8 Form Non-Calculator Paper Page 3 of 3

4 Gozo College Boys Secondary School Victoria - Gozo, Malta Half Yearly Examination Form 2 Mathematics - Level 7-8 Main Paper Time: 1½ hours Question Total Main Non Calc. Global Mark Mark Name: Class: CALCULATORS ARE ALLOWED BUT ALL NECESSARY WORKING MUST BE SHOWN. ANSWER ALL QUESTIONS. 1a. Write down a common multiple of 10 and 25. b. Write down a decimal number which is bigger than 2.5 but smaller than 2.6. _ c. Work out the following + + 5, giving your answer as a mixed number. (5 marks) 2a. Represent the inequality n 4.5 on a number line. b. Each week Charlene uses of a bag of cat food to feed her cats. She has 12 bags of cat food in stock. How long will her stock last? (5 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 1 of 7

5 3a. Name the shapes shown below. Write down the order of rotational symmetry that they have. i. Name Order of Rotational Symmetry ii. Order of Rotational Symmetry Name Order of Rotational Symmetry iii. Name Order of Rotational Symmetry b. Now, draw their lines of symmetry. c. Name a quadrilateral which has a pair of parallel sides and can have 0 or 1 line of symmetry. (10 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 2 of 7

6 Name of Student: Class: 4a. Peter buys a computer costing 640. He pays the shopkeeper a deposit of 28%. How much deposit does he pay? Give your answer correct to the nearest. Ans: b. Last year, a Gozitan university student living in Malta rented a flat for 180 a month. This year, he was charged 198 a month. Find the percentage increase in his rent. % (6 marks) 5. Class 2B make a survey about some physical features of the students in their class. a. Work out the percentage of students having blue eyes in Class 2B. Give your answer as a recurring decimal. b. Write down the formula that should be typed in cell E2. Ans: = (5 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 3 of 7

7 6. Find the value of each unknown angle, giving reasons for your answer. 40 d e 98 a c b e a = Reason b = Reason c = Reason d = Reason e = Reason (11 marks) 7ai. Use your protractor to draw an angle of 234. ii. State if this angle is acute, obtuse or reflex. b. Draw another two shapes to show that the square tessellates. (5 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 4 of 7

8 8. There is a bird at the top of Maria s house roof. She sees it from the opposite side of the road. The angle of elevation of the top of the roof of Maria s house is 37. The horizontal distance from the point where Maria stands to the foot of the house is 12 m. Bird m Maria a. Using a scale of 1cm to represent 2m, make a scale drawing of the above situation. b. Use your scale drawing to find the actual height of Maria s house. m (6 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 5 of 7

9 9a. The diagram below shows the floor layout of a factory. Find the area of the floor. m² b. The floor is to be covered with tiles costing per m². Calculate the total cost for covering the floor. Ans: (6 marks) 10. Calculate the volume of the solids shown below. a. b. cm³ cm³ (6 marks) Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 6 of 7

10 11a. Use a ruler, compasses and a protractor to construct the triangle shown below. Show all construction lines and label your diagram. F 6.8 cm D 40 8 cm E D b. Measure side EF and angle F. EF = cm Angle F = (7 marks) 12. Pauline uses LOGO to draw the equilateral triangle shown in the diagram below. a. Complete the following set of commands. 170 t.s. PD REPEAT [FD RT 120] b. The perimeter of the triangle is turtle steps. (3 marks) END OF PAPER Mathematics Secondary Schools Levels 7-8 Form Main Paper Page 7 of 7