Contemporary Mathematics

# Chapter Review

## The Metric System

For the following exercises, determine the base unit of the metric system described: liter, gram, or meter.
1 .
amount of juice in a carton
2 .
weight of a puppy
3 .
height of a wall
For the following exercises, choose the smaller of the two units.
4 .
hectogram or centigram
5 .
decameter or kilometer
6 .
milliliter or deciliter
7 .
Convert 236 cm to meters (m).
8 .
Convert 137.5 mg to grams (g).
9 .
You purchase 15 kg of birdseed. You divide the birdseed into 10 bags. How many grams of birdseed are in each bag?
10 .
A track is 650 m long. If you run 8 laps around the track, how many kilometers did you run?

## Measuring Area

For the following exercises, determine the most reasonable value for each area.
11 .
bedroom floor
12 km2
12 m2
12 cm2
12 mm2
12 .
nature preserve
800 km2
800 m2
800 cm2
800 mm2
13 .
desk surface
0.125 km2
0.125 m2
0.125 cm2
0.125 mm2
For the following exercises, convert the given area to the units shown.
14 .
650,000 cm2 = __________ m2
15 .
17 m2 = __________ cm2
16 .
759 cm2 = __________ mm2
17 .
A laptop is 30 cm by 20 cm. A sticker on the laptop cover measures 15 mm by 15 mm. How many square centimeters of the laptop cover is still visible?
18 .
A dining room wall is 2.75 m by 2.25 m. A window on the wall is 0.75 m by 1.5 m. How many square meters is the surface of the wall?
19 .
A floor is 6 m by 4 m. A rug on the floor measures 200 cm by 100 cm. How much of the floor, in m2, is not covered by the rug?
20 .
A ceiling is 4 m by 2.5 m. A skylight in the ceiling measures 75 cm by 80 cm. How much of the ceiling, in m2, would need to be painted if you decide to change the color of the ceiling?

## Measuring Volume

For the following exercises, determine the most reasonable value for each volume.
21 .
aquarium
65,750 km3
65,750 m3
65,750 cm3
65,750 mm3
22 .
carton of soup
94,000 L
94 L
940,000 mL
940 mL
23 .
6,250 km3
6,250 m3
6,250 cm3
6,250 mm3
For the following exercises, convert the given volume to the units shown.
24 .
59,837 mm3 = __________ cm3
25 .
12.5 dm3 = __________ mL
26 .
368 cm3 = __________ mm3
27 .
A box has dimensions of $15\,{\text{cm}} \times 10\,{\text{cm}} \times 25\,{\text{cm}}$. The box currently holds 1,750 cm3 of black beans. How many cubic centimeters of black beans are needed to completely fill the box?
28 .
The dimensions of a small storage unit are $3\,{\text{m}} \times 3{\text{m}} \times 3\,{\text{m}}$. What is the volume of a medium storage area with dimensions twice the size of the small unit?
29 .
How much liquid, in liters, can a container with dimensions of $35\,{\text{cm}} \times 15\,{\text{cm}} \times 20\,{\text{cm}}$ hold?
30 .
A box is 20 cm long and 15 cm wide. The volume of the box is 2,100 cm3. What is the height of the box?

## Measuring Weight

31 .
What is the most reasonable estimate for the weight of a small stack of coins?
120 mg
12 g
1.2 kg
0.12 mt
For the following exercises, convert the given weight to the units shown.
32 .
7,900 g = __________ kg
33 .
81 g = __________ mg
34 .
0.12 kg = __________ g
For the following exercises, determine the total weight in the units shown.
35 .
four 450 mg tablets ________ g
36 .
six 45 g candy bars ________ kg
37 .
seven 1.5 g buttons ________ mg
38 .
A box of chocolate weighs 2.75 kg. If you share the candy bar equally with 5 friends, how many grams of chocolate does each person get?
39 .
You purchase 15 tomatoes that weigh 100 grams each. If tomatoes cost $1.18 per kilogram, how much did you pay? 40 . A value-size package of ground chicken costs$23.00. The package weighs 2.5 kg. What is the cost per gram of the chicken?

## Measuring Temperature

For the following exercises, convert the temperatures to the nearest degree.
41 .
365 °F = __________ °C
42 .
42 °C = __________ °F
43 .
575 °F = __________ °C
44 .
135 °C = __________ °F
45 .
–20 °F = __________ °C
46 .
73 °C = __________ °F
47 .
The temperature of a welder’s torch increases 1,112 ºF every 3 minutes. About how many minutes does it take for the torch to increase 1,200 ºC?
48 .
A substance is heated to 302 ºF. As the substance cools the temperature drops 4 ºC every 3 minutes. How many minutes until the temperature of the water reaches 130 ºC?
49 .
On November 1 the temperature was 40 ºF. On December 1 the temperature was 7 ºC. Which day was cooler?
50 .
The instructions to cook lasagna say to set the oven at 475 ºF. To the nearest degree, what is the temperature in degrees Celsius?