Year 8 Level Name:_________________________________Department of Mathematics 2018Parade College Tutor Group: ___________________________

TEST: Ch 13 Measurement

Section No. of questions

Marks Your mark is

A: Vocabulary knowledgeB: Multiple Choice & NaplanC: Short AnswerD: Analysis Problem

51061

Total =

51024645

%

Instructions

Read questions carefully No sharing of equipment, including calculators.

Section A: Vocabulary Knowledge

(5 x 1 = 5 marks)

Complete the sentence by choosing the appropriate word from the word list below.

1. The diameter of a circle is twice the length of its ________________________.

2. The area of a triangle can be calculate if the base length and _______________________ height are known.

3. The symbol π is used in calculating the circumference and area of a circle and is called ___________.

4. A rhombus is a quadrilateral with the _______________ side lengths.

5. The ___________________ of a full circle is called the Circumference.

WORD LIST

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radius perimeter diameter volume

area perpendicular pi same

Section B – Multiple-choice (10 marks)

Question 1What is 4.53 km converted to metres?A 45.3B 0.453C 4530D 0.0453E 45300

Question 2What is 2076 mm converted to centimetres?A 2.076B 20.76C 0.2076D 207.6E 0.02076

Question 3

The height of the triangle shown above is:A 78 cmB 66 cmC 55 cmD 121 cmE 29 cm

Question 4

The diameter of the circle shown above is:A 3 cmB 6.4 cmC 1.6 cmD 9 cmE cm

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2.3

Question 5

The perimeter of the shape shown above is:A 39 mB 18 mC 23 mD 16 mE 80 m

Question 6

The volume of the shape shown above is:A 1323 mm3

B 52.5 mm3

C 661.5 mm3

D 13891.5 mm3

E 27783 mm3

Question 7

The area of the trapezium shown above is:

A. cm2

B. cm2

C. cm2

D. cm2

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5.11)4.52.6(21

4.5)5.112.6(21

2.6)4.55.11(21

2.6)4.55.11(21

E. cm2

Q8.

Q9.

Q10.

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5.11)4.52.6(21

Section C – Short-answer (24 marks)

Question 1 (2 marks)Find the perimeter of the following shape.

Question 2 (2+2 marks)For the triangle below.

a) Calculate the perimeter.

b) Calculate the area

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Question 3 (2+2+1 marks)

For the shape shown above,

a) Calculate the area of the rectangle.

b) Calculate the area of the circle, correct to one decimal place.

c) Using your answers from parts a) and b) above, calculate the area of shaded region, correct to one decimal place.

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Question 4 (2+2 marks)For the semi-circle shown below,

Find:a) The perimeter, correct to one decimal place.

b) The area, correct one decimal place.

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Question 5 (2+2+1 marks)

For the Annulus below,

a) Calculate the area of the smaller circle, correct to one decimal place.

b) Calculate the area of the bigger circle, correct to one decimal place.

c) Using your answers from part a) and b), calculate the area of the Annulus (the shaded part), correct to one decimal place.

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Question 6 (2+2 marks)For the triangular prism shown below,

a) Calculate the area of the triangular cross section.

b) Calculate the volume of this prism.

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Section D – Analysis Problem (2+1+3 marks)

Jeff and Andy jog around the athletics track as shown below.

a) What distance, correct to one decimal place, does Andy cover if he jogs 1 lap of the track?

b) What distance, correct to one decimal place, does Jeff cover if he jogs 3 laps of the track?

c) The club which owns the athletics track wish to fill the inside of the track with instant lawn, as such, calculate the inside area of the track, correct to one decimal place.

END OF TEST

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Y8 – Semester 2 – 2018 Formula Sheet.Meausurement and Units conversion

2D - Shapes Perimeter Area

4 l l2

2(l+w) or

2 l+2w l ×w

Add all four side lengths b×h

Add all three side lengths

12×b×h

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Add all four side lengths

12× (a+b )×h

Add all four side lengths

12×x× y

2πr πr2

Add all four side lengths

12×x× y

2 r+ θ360

×2 πr θ360

×πr2

Add all side lengths

3D - Shapes Volume

l ×w×h

12×b×h×l

πr2×h

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