Year 11 General Maths: Measurement Test 2016 AT 1.2
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1 Year 11 General Maths: Measurement Test 016 AT 1. Name:.. Total Marks:. /57 A CAS calculator and notes or a text book are allowed. TIME ALLOWED: 75 minutes Section A: Multiple Choice (10 marks) 1. 4 m 8 m 4. Cliff, the ultramarathon runner, is completing 0 laps per hour of a track 0m long. The distance that he will run in one day (4 hours) is: The area of this parallelogram is: A. 8 m B. 4 m C. 48 m D. 54 m E. m. A map has a scale of 1 : What distance on the map would represent an actual distance of 50 km? A. 0 cm B. 0 mm C. 1.5 cm D. 1.5 mm E. 150 mm. 1 m The shaded area of this shape is: A. 906 cm B. 87 cm C. 19 cm D. 187 cm E. 9 cm 0 cm 50 cm 40 cm A. 5.8 km B. 74. km C km D km E km 5. A trapezium with an area of 900 cm has parallel sides 40 cm apart. If one of these sides is twice as long as the other, the lengths of the parallel sides would be: A. 0 cm and 10 cm B. 0 cm and 15 cm C. 4 cm and 1 cm D. 40 cm and 0 cm E. 4 cm and 17 cm 6. A rectangular haystack is 5 m wide, 1 m long and 10 m high. The area of tarpaulin needed to cover the exposed faces of the haystack is: A. 460 m B. 600 m C. 80 m D. 445 m E. 400 m 1 m 40 cm 10 m 5 m Page 1 of 6
2 Year 11 General Maths: Measurement Test 016 AT The capacity of a cylindrical soft drink can that is 5.5 cm wide and 1 cm high is: 9. The length labelled x is: 1 cm 4 x 5 A ml B. 11. ml C. 4.6 ml D ml 5.5 cm E ml 8. A bicycle wheel has a radius of 1 cm. If the wheel turns 0 times, the bicycle will travel: 1 A. 1 B. 10 C. 9 D. 6 E A mug of hot chocolate measures 8.6 cm in diameter and has a height of 11. cm. The top 0.4 cm of the mug is filled with froth; the rest is hot chocolate. Rounding to the nearest cubic centimetre, how much hot chocolate is in the mug? A. 6.9 m B m C m D m E m A. 146 cm B. 9 cm C. 67 cm D. 651 cm E. 509 cm Page of 6
3 Year 11 General Maths: Measurement Test 016 AT 1. Section B: Extended Response (47 marks) Show all working in the following questions as method marks as well as answer marks will be given cm 7 cm What is its capacity, in litres? Round your answer off to decimal places. 8 cm ml = 1.16 litres Find the area of this triangle, giving your answer in cm correct to one decimal place s 10 Area s( s 5)( s 7)( s 8) cm (c) If the paint just fills a rectangular paint tray that is cm long and cm wide, how deep is the tray? Give your answer correct to one decimal place = x x depth Depth = 16.8 cm If the dimensions were all doubled, what would be the new area, correct to one decimal place. New Area cm (accept 4 x 17. = 69.) [+=5 marks]. A cylindrical paint tin has a radius of 11 cm and volume of cm What is the height of the tin? volume r h xh h cm [++=6 marks]. The perimeter of a rectangular piece of paper is 5.4 cm. If it is 1.. cm wide, what is its length? 5.4 = (1. + length) Length = 14 cm [ marks] Page of 6
4 7.9 m.4 m Year 11 General Maths: Measurement Test 016 AT cm 6 cm 5. An aeroplane climbs in a straight line reaching a height of 600 m after travelling 1500 m. If it keeps climbing at the same angle until it is at a height of 1600 m, find the value of x. C 1 cm 16 cm B x 1600 m 10 cm m Find the volume of this shape. A E D volume (110 16) (6 16) cm x x 500 m OR OR [ marks] Find the surface area of this shape m S.A. = (16 x 6) + (16 x 6) + (16 x ) + (16 x 7) + (16 x 1) + (10 x 16) = = 898 cm 8.1 m 1.5 m Find the shaded area correct to one decimal place. [+=6 marks] (NOTE: there is more space on the next page for your working) Page 4 of 6
5 Year 11 General Maths: Measurement Test 016 AT 1. Find the distance AB, correct to one decimal place area of trapezium AB area of triangle (8.1.4) 1.77 So the shaded area is = 66.4 m Hence find the height of the shed, correct to one decimal place = 4.7 m 7. A shed has dimensions as shown. A.5 m B [5 marks].1 m (c) Find the total volume of the shed correct to one decimal place. Area of front section = (6. x.1) + ½ (6. x 1.6) = 4.18 Volume = area of front x 1.4 OR = 4.18 x 1.4 = 99.8 m Total Vol = vol of triangular prism + vol of rect 6. m 1.4 m prism = (1/ x 6. x 1.6 x 1.4) + (6. x 1.4 x.1) = = 99.8 m [+1+4=8 marks] Page 5 of 6
6 Year 11 General Maths: Measurement Test 016 AT Peter noticed that a scoop of ice cream in a cone looks like a hemisphere on top of a cone as in the diagram. = 0 cm [+5=7 marks].5 cm 9. E 15 cm B D F 10 cm cm Using the dimensions given, find: The volume of the whole shape (cone plus hemisphere) to the nearest cm A 1 cm C Find the length of BC to one decimal place height of cone vol of cone cm vol of hemisphere BC cm Hence find the surface area of this prism correct to the nearest cm so the total volume = 4 cm the total surface area of the visible cone and ice cream to the nearest cm S.A. = ½ (10 x 1) + ½ (10 x 1) + ( x 16.4) + (10 x ) + (1 x ) = Surface area = πrs + ½ (4πr ) =140 cm = [+=5 marks] Page 6 of 6
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