Angles (25 marks) You have 20 minutes to complete the questions. Questions & Answers 1 Marks Which angle has its vertex at R? (A) (B) (C) (D) 1 2 This angle measures: (A) 50° 1 (B) 130° 3 4 In the figure above, angles b and h are: (A) corresponding angles (B) alternate angles (C) cointerior angles (D) supplementary angles 1 a) What type of angle relationship is shown in the diagram? ………………………………………….. 1 b) Find the value of a. ………………………………….. ………………………………….. 1 5 a) What type of angle relationship is shown in the diagram? 1 …………………………………….. b) Find the value of x. 1 ………………………………… 6 a) Find the value of x. ……………………………… ………………………………… 1 b) Give a reason for your answer. ………………………………… ………………………………… 1 7 a) Find the value of x. ………………………………… ………………………………… 1 b) Give a reason for your answer. ………………………………… ………………………………… 1 8 a) Find the value of x. ………………………………… ………………………………… xo 35o 1 b) Give a reason for your answer. ………………………………… ………………………………… 9 1 Two parallel lines are cut by a transversal, forming a pair of cointerior angles. If one of the angles is equal to 53°, find the size of the other angle. ………………………………… 1 ………………………………… 1 10 Use your protractor to accurately draw and label an angle ∠𝐴𝐵𝐶 which measures 145° 2 11 Classify each of the following angles using one of the given terms: acute, revolution, straight, reflex, obtuse, right _______________ _____________ _______________ ________________ 4 12 Is 𝐴𝐵||𝐶𝐷? Give a reason for your answer ……………………………………………….… …………………………………………….…… ………………………………………………… 2 ………………………………………………… 13 Find the value of 𝑥. Give full reasons for each step. ……………………………………………….… …………………………………………….…… ………………………………………………… 3 ………………………………………………… Total /25 2 Measurement (25 marks) 20mins to complete Questions & Answers Marks 1 Change to the units required: i. 35 mm = __________________________cm ii. 4 m = __________________________cm iii. 890 mm = ________________________m 1 1 1 2 Calculate the perimeter of the following shapes (NOT TO SCALE) i. 1 …………………………………………………………………….. …………………………………………………………………….. ii. 1 …………………………………………………………………………… …………………………………………………………………………… 3 Find the length of the box, to the nearest mm, using the ruler below. …………………………………………………………………… Questions and Answers 1 Marks 3 4 Find the perimeter of this composite figure. ………………………………………… ………………………………………… ………………………………………… ………………………………………… ………………………………………… ………………………………………… 2 5 Find the circumference of this circle, correct to 1 decimal place. ………………………………………… ………………………………………… ………………………………………… ………………………………………… ………………………………………… 1 ………………………………………… 6 The diameter of a circle is equal in length to: (A) its circumference (B) half its radius (C) double its radius (D) three times its circumference 1 7 Find the length of the arc correct to one decimal place ……………………………………………….. ……………………………………………….. ……………………………………………….. 2 ……………………………………………….. Questions and Answers Marks 4 8 Find the length of fence needed to surround a rectangular block of land that is 28 m by 52 m. …………………………………………………………………… …………………………………………………………………… 1 ……………………………………………………………………. 9 The base of this triangle is 6 cm and it is 8 cm high. What is the area of the triangle? …………………………………………………………… …………………………………………………………… 1 10 This parallelogram has a base of 3cm and a perpendicular height of 8cm. What is its area? …………………………………………………………… …………………………………………………………… 1 11 Find the area of the trapezium. Show your working. .............................................................................................................................. .............................................................................................................................. 3 .............................................................................................................................. Questions and Answers Marks 5 12 Calculate the perimeter of this shape. Show your working. .............................................................................................................................. .............................................................................................................................. .............................................................................................................................. .............................................................................................................................. 3 13 A print measuring 25 cm by 12 cm is to be surrounded by a wooden frame of width 3 cm. i) Find the perimeter of the framed print. ……………………………………………………………….. ……………………………………………………………….. ……………………………………………………………….. ii) 2 Find the area of the frame. ……………………………………………………………….. ……………………………………………………………….. ……………………………………………………………….. 2 Total /25 6 E – Equations (20 marks) Questions and Answers Marks 1 This equation is balanced (true) when r = ……. 1 2 Solve: 1 r + 7 = 19 …………………………… …………………………… 3 5𝑦 = 35 Solve: ………………………………… ………………………………… 1 4 𝑥 3 Solve: = 12 ………………………………… 1 ………………………………… 5 3−𝑥 =1 Solve: ………………………………… ………………………………… 1 6 3 g + 4 = 16 The first step to solving this equation is to: (A) subtract 3 from both sides (B) subtract 4 from both sides (C) divide both sides by 3 (D) divide both sides by 16 Questions and Answers 1 Marks 7 7 Solve this equation, showing your working out steps: 2𝑘 + 1 = 9 ………………………………… ………………………………… ………………………………… 2 ………………………………… 8 Which of these is NOT an equation? (A) 2(3h + 7) – 8 (B) 24 × 3 + 10 = 82 (C) 3n – 8 = 2n + 1 1 9 I am thinking of a number. When I divide this number by 12 and add 2, I get 7. What was the number I was thinking of? ………………………………… ………………………………… 1 ………………………………… 10 Solve, clearly showing your working for each step. i) 8𝑥 − 12 = 38 ii) 3𝑥 + 14 = 5 ………………………………… ………………………………. ………………………………… ………………………………. ………………………………… ………………………………. 4 11 Which of the following is the solution for 𝑛 4 A. 4 − 8 = 7? B. 20 C. 36 D. 60 Questions and Answers 1 Marks 8 12 Jarrad has collected 1794 beetles. This is 6 times as many beetles as Lisa has in her collection. Let 𝑁 represent the number of beetles that Lisa has. Which of the following equations best represents this situation? A. 1794 − 𝑁 = 6 B. 6𝑁 = 1794 C. 𝑁 = 6 × 1794 1 D. 𝑁 + 6 = 1794 13 When a certain number is subtracted from 100, the result is 47. Let 𝑁 represent the number. Which of the following equations best represents this situation? A. 𝑁 − 100 = 47 B. 100 + 47 = 𝑁 C. 𝑁 − 47 = 100 D. 100 − 𝑁 = 47 1 14 A school organises a disco. The costs are $300 for the hire of a Music Machine and $2 per student for refreshments. i) If tickets cost $6.50, how many tickets need to be sold to cover the cost? ii) How many tickets would have to be sold to make a profit of $220 to give to charity? 3 Total /20 END OF EXAMINATION 9