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Year 9 exam term3 2012 TOPIC Geometry Algebra Number Total MARK /34 /20 /18 /72 NAME :…………………………………… ……………….. % LEARNING GROUP………… Section A GEOMETRY ( 34 marks ) 1.Write down the type of the following angles. Choose from {acute, obtuse or reflex}. i) ii) _______ _________ 2.Use a protractor to measure each of the following angles. (3 marks) i) ii) iii) y x x= z ˚ y= ˚ z= ˚ 3.Calculate the size of the marked angles. Do not use a protractor – the diagrams are not drawn to scale. i) ii) 106° 28° 138° a a = ____________________ iii) b b = ________________ iv) c _ ___ _ ___ _ ___ c = __________________ _ ___ _ ___ _ __ _ _ _ _ _ 275° d 39 ° d = __________________ 1 _ _ _ _ _ _ _ _ _ 4. Work out the size of each marked angle AND give geometrical reasons for your answers. (The diagrams are not drawn to scale). (11 marks) i) ii) 86° iii) a 10 4 ° b a = ______________ c 71° b = ______________ c= _____________ c Reason: ____________ Reason: _____________ iv) Reason: _____________ v) ( 3 marks ) d 870 x 51° 2x d = ______________ x = ___________________ Reason: _________________ Reason: __________________ _________________ ___________________ 5.If two angles of a triangle are 50° and 60° then find the size of the third angle. Third angle = 6a) From a port (the smiley face) the bearing of a ship is 105°. The ship is 3km off shore. Make an accurate scale drawing to show this. Scale: 1 cm = 1 km (2 marks) N N b)Use the diagram below to measure the following bearings:( 2 marks) N James i) of James from Caleb ……………………………….. ii) of Sally from James Caleb ……………………………….. Sally 2 7. How many 1cm cubes are there in the diagram shown below? ________ 8. Reflect these shapes in the mirror line, m. (2 marks) (a) (b) m m op 9 .Describe the following translation using a vector. A is translated to B. A F r o n t Fr on t B 3 units 8 units 10. Rotate the shape one quarter turn (anticlockwise), about the dot. 3 6 11. Translate the rectangle by the vector . 2 12. Draw below a net that will form a triangular prism. 13. Draw the top and front views of the solid below. ( 2 marks) Top Front 4 Section B ALGEBRA(20) 2. Simplify 3a a 1. Simplify 3x 9x 3. Simplify 4 x 6 y x 3 y = 5. Expand 4. Simplify 4(3x 1) 6x 2 = 4x 6. Expand and simplify 52 x 4 2( x 3) = 7. Given a 6, evaluate a 2 8. Given a 3 and b 5 , evaluate a 6b 9 Simplify 3 x 4 x 5 10. Solve x 2 9 ( 2 marks) ( 2 marks) 11. Factorise 5ab 15a 12. Factorise 8 xy 24 x 13. Solve x 4 16 14. Solve 3x 17 5 15. 16. Solve 23x 4 16 Solve 8x 5 4x 13 (2 marks) (2 marks) 5 Section C NUMBER (18) 1. 5 3 2 1 2. Round $15.79 to the nearest dollar. 3. Calculate ( 8) 2 . 4. Change 0.35 to a fraction. 5. 0.5×0.03 = 7. 10. Three decimal numbers are 28.2, 25.82 and 30.05 Write the numbers in order from smallest to largest. 4 as a percentage. 5 6 × 15 1 = 13. Change 2 of $21. 3 8. List all the factors of 18. 7 2 + = 13 13 9. Write 11. 6. Find 12. 5 1 9 3 14. What is 58 as a percentage of 90? 3 to a percentage. 7 15. Gerald’s pay was increased from $9 per hour to $13 per hour. What was the percentage increase? (2 marks) 16. A real-estate firm charges a flat fee of $500 per sale, plus 2.5% commission on the selling price. Calculate the amount the firm earns on a house that they sell for $ 250 000. ( 2 marks ) 6 Answer the following questions please ( a survey ) Did you have a calculator for this test? How much time did What could you do you spend to help yourself to studying for this be better at test? mathematics? Was it your own? Do you like mathematics? Circle one of the numbers below. 1= I don’t like maths very much. 5 = I like maths a lot. 1 How hard do you try in class? 1 = not very hard 5 = I try my best Do you usually do your home work? 1 = never 5 = always How well do you listen in class? 1 = not very well 5 = all the time 1 1 1 2 3 4 5 2 3 4 5 2 3 2 3 4 5 4 5 What else could your teacher do to help you learn better? 7