Grade 8 Math Test

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Grade 8 Math Test

Perimeter, area and the metric system

Part A: Multiple Choice - Circle the letter of the correct answer. (18 marks)1. A circle has an area of 27 cm2. About how long is the radius?

A) 24 cm

B) 14 cm C) 9 cm

D) 3 cm

2. A circle has the same area as a square with side length 10 cm. What is the approximate radius of the circle?

A) 2.5 cm B) 6 cm C) 10 cm D) 30 cm

3. The area of the circle is about

A) 201.1 cm2 B) 64.0 cm2 C) 50.3 cm2 D) 25.1 cm2

4. The area of the shape is about

A) 9 cm2 B) 28 cm2 C) 38 cm2 D) 110 cm2

5. A square has an area of 121 m2. What is its perimeter?

A) 11 m

B) 44m C) 121 m D) 14 641 m

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13. The side length of a square is 50 cm. If the lengths of the sides were increased by 40 %, what is the perimeter of the new square ?

A. 80 cmB. 280 cmC. 400 cmD. 4900 cm14. A forest fire burned an area of 7.5 km2. What is this area in square metres ?E. 750 000F. 7 500 000G. 75 000H. 750015. This shows the shape of a forest. How many square kilometres does it cover?I. 660 km2J. 588 km2K. 540 km2L. 420 km216.

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18. 28 m2 is how many cm2 ? M. 28 cm2N. 2800 cm2O. 280 000 cm2P. 0.0028 cm2Part B: Make sure to answer ALL of the following questions. YOU MUST SHOW YOUR WORK! You can use a calculator but you still have to show the steps you took to solve the problem. When finding the area you MUST put the correct formula down. If not, you will lose marks!1. The diagram below shows the dimensions of the ice surface at a local rink.

The ends of the rink are in the shape of semicircles. (10 marks)

Find the area of the ice surface as shown in the diagram.

2. Find the area of the shaded part. (10 marks)3. Calculate the area of the shaded region of rectangle ABCD. (10 marks)

4. a). Mr. Cousins is carpeting his living room and dining area. The carpeting is $32.25 per square metre. What is the cost of the carpeting he needs? (8 marks)b). Mr. Cousins also wants to put baseboard in the same rooms. It is installed along the edge of the floor. The cost is $5.75 per metre. How much will the baseboard trim cost ? (6 marks)

5. Find the area and circumference of each circle: (12 marks)6. Convert each of the following metric units: (be careful with the units) 12 marksa). 1600 cm2 = ________________dm2

b). 230 000 cm2 = _________________m2c). 79.4 ha = _____________________km2d). 2 km2 = ___________________m2e). 69 000 mm2 = ______________m2

f). 1.003 m2 = ____________________ha

BONUS

10 cm

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