Chapter 11Area, Volume and Capacity: Practice Test

Chapter 11 Area, volume and capacity: Practice Test

Multiple-choice questions 1 The most appropriate unit for measuring the area of a city is: A cm2 B m C m2 D km2 E mm2

2 The most appropriate unit for measuring the capacity of a public swimming pool is: A L B kL C mL D cm3 E mm3

3 750 mL is equal to: A 0.0075 kL B 0.75 kL C 0.075 L D 7.5 L 3 E L 4

4 5 L is equal to: A 50 cm3 B 0.5 m3 C 5000 cm3 D 500 cm3 E 5000 mm3

5 The side length of a square of area 25 cm2 is: A 250 cm2 B 625 cm2 C 2.5 cm D 5 m E 5 cm

6 If a rectangle has a length of 16 m and a width of 3 m, then the area is: A 19 m2 B 48 cm2 C 480 cm2 D 48 m2 E 163 m2

7 The area of a triangle of base length 9 cm and height 16 cm is: A 25 cm2 B 50 cm C 144 cm D 144 cm2 E 72 cm2

8 The volume of the prism shown is: 8 cm

A 32 cm2 24 cm2 B 192 cm2

C 64 cm3

D 192 cm3

E 384 cm3

9 5.4 L – 250 mL is equal to: A 244.6 L B 51 500 mL C 5.15 L D 3.3 L E 5 L

10 A 1 L bottle of cordial can be used to make 50 glasses of drink. The amount of cordial needed for each glass of drink is: A 2 mL B 20 mL C 200 mL D 0.1 L E 0.01 L

Short-answer questions 1 Convert each of the following to the units shown in the brackets: a 98 L (mL) b 2850 mL (L) c 12 kL (L) d 150 mL (cm3)

2 Find the area of this rectangle:

3 Find the area of each of the following shapes:

4 Find the shaded area in each case:

5 Find the volume of this rectangular prism:

6 The area of a rectangular LCD computer monitor is 952 cm2. If the monitor’s width is 28 cm, what is its length?

7 A 12 m  10 m rectangular pool is surrounded by a concrete path 1 m wide. Find the area of the path.

8 Andrew bought a rectangular fish tank with dimensions 2 m  3 m  1.5 m. a Find the volume of the tank. b If he has 15 fish, each of which needs a volume of 0.5 m3 to survive, will they survive in the tank?

Extended-response questions A rectangular rainwater tank of 1000 cm  50 cm 40 cm is to be filled with water. If it takes 5 minutes for 500 L of water to flow into the tank: a i How much water does the tank hold in cm3? ii How much water does the tank hold in L? b How long will it take to fill the tank? c How long will it take to half fill the tank?

Answers to Chapter 11 Test A

Answers to multiple-choice questions

1 D 2 B 3 E 4 C 5 E 6 D 7 E 8 D 9 C 10 B

Answers to short-answer questions

1 a 98 000 mL b 2.85 L c 12 000 L d 150 cm3 2 16 square units 3 a A = 4.6  1.2 = 5.52 m2

b A = 1 (9  5) 2 = 22.5 m2 4 a A = (25  15)+(8  5) = 415 cm2 b A = (52  40) – (32  20) = 1760 m2 5 V = 4.5  1.5  2.2 (change 22 mm to 2.2 cm) = 14.85 cm3 6 A = lw, where w = 28 cm 952 = 28  l so l = 34 cm

A = (14  12) – (12  10) = 48 m2 8 a V = 2  3  1.5 = 9 m3 b Volume required by 15 fish = 15  0.5 = 7.5 m3 Volume of tank = 9 m3 so 15 fish will survive.

Answers to extended-response questions a i V = 1000  50  40 = 2 000 000 cm3 ii V = 2 000 000 ÷ 1000 = 2000 L 2000 b Time taken to fill = 5 500 = 20 minutes c Time taken to half-fill = 10 minutes