Year 11 General Maths: Measurement Test 2017 AT 1

Year 11 General Maths: Measurement Test 2017 AT 1.2

Name: ...........................................................

Total Marks: .......... /48

A CAS calculator and notes or a text book are allowed.

TIME ALLOWED: 60 minutes

_______________________________________________________________________________________________

Section A: Multiple Choice (8 marks)

1.

4 m

8 m

4. A trapezium with an area of 900 cm2 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:

12 m The area of this parallelogram is:

A.

38 m2

B.

42 m2

C.

48 m2

D.

54 m2

E.

32 m2

__________________________________

2.

30 cm

40 cm

A. 20 cm and 10 cm

B. 30 cm and 15 cm

40 cm

C. 24 cm and 12 cm

D. 40 cm and 20 cm

E. 34 cm and 17 cm

_____________________________________

5. A rectangular haystack is 5 m wide, 12 m long and 10 m high. The area of tarpaulin needed to cover the exposed faces of the haystack is:

50 cm The shaded area of this shape is:

A.

906 cm2

B.

827 cm2

C.

1293 cm2

D.

1827 cm2

E.

293 cm2

A.

460 m2

B.

600 m2

C.

380 m2

D.

445 m2

E.

400 m2

12 m

10 m 5 m

3. Cliff, the ultramarathon runner, is completing 20 laps per hour of a track 220m long. The distance that he will run in one day (24 hours) is:

A. B. C. D. E.

Page 1 of 7

52.8 km 74.3 km 105.6 km 10.56 km 1056 km

Year 11 General Maths: Measurement Test 2017 AT 1.2

6. The capacity of a cylindrical soft drink can that is 5.5 cm wide and 13 cm high is:

13 cm

8. A mug of hot chocolate measures 8.6 cm in diameter and has a height of 11.2 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?

5.5 cm

A. 148.7 mL B. 112.3 mL C. 224.6 mL D. 308.9 mL E. 1253.4 mL ______________________________________ 7. A bicycle wheel has a radius of 21 cm. If the

wheel turns 20 times, the bicycle will travel: A. 26.39 m B. 52.78 m C. 263.89 m D. 277.09 m E. 1108.35 m

A.

146 cm3

B.

292 cm3

C.

627 cm3

D.

651 cm3

E.

2509 cm3

Page 2 of 7

Year 11 General Maths: Measurement Test 2017 AT 1.2

Section B: Extended Response (40 marks)

Show all working in the following questions as method marks as well as answer marks will be given.

1.

7 cm

(b) What is its capacity, in litres? Round your

5 cm

answer off to 2 decimal places.

8 cm

(a) Find the area of this triangle, giving your answer in cm2 correct to one decimal place.

(c) If the paint just fills a rectangular paint tray that is 33 cm long and 22 cm wide, how deep is the tray? Give your answer correct to one decimal place.

[3 marks]

2. A cylindrical paint tin has a radius of 11 cm and volume of 12164.3 cm3

(a) What is the height of the tin?

[2+2+2=6 marks]

3. The perimeter of a rectangular piece of paper is 52.4 cm. If it is 12.2. cm wide, what is its length?

Page 3 of 7

[2 marks]

Year 11 General Maths: Measurement Test 2017 AT 1.2

4. 7 cm 6 cm

5. 6.8 m

7.9 m

3.4 m

12 cm

16 cm

10 cm

Find the volume of this shape.

8.1 m 13.5 m Find the shaded area correct to one decimal place.

[3 marks] Page 4 of 7

[5 marks]

Year 11 General Maths: Measurement Test 2017 AT 1.2

6. A shed has dimensions as shown.

A 3.5 m

B

3.1 m

(c) Find the total volume of the shed correct to one decimal place.

12.4 m

6.2 m

(a) Find the distance AB, correct to one decimal place.

(b) Hence find the height of the shed, correct to one decimal place.

Page 5 of 7

[3+1+4=8 marks]

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