TUTORIAL Matter and Measurements

TUTORIAL: MATTER AND MEASUREMENT

1. Classify the following as a mixture or a pure substance:
1.1 Tomato sauce 1.6 Oxygen
1.2 Spoon of sugar 1.7 Steel
1.3 Aspirin 1.8 Sodium chloride
1.4 Tap water 1.9 Wine
1.5 Petrol 1.10 Mercury

2. Identify the following as homogenous or heterogeneous mixtures:
2.1 Beach sand 2.6 Sour milk
2.2 Salt stirred into water 2.7 Sea water
2.3 Pepper stirred into water 2.8 Polluted air
2.4 Margarine 2.9 Paper used to print
2.5 Petrol 2.10 Ink

3. Identify the following as physical or chemical changes:
3.1 Milk goes sour 3.6 Alcohol evaporates off the skin
3.2 Ice melts 3.7 Battery corrodes
3.3 Paper burns 3.8 Sugar dissolves in water
3.4 Rubber stretches 3.9 Iron rod is heated
3.5 Grape juice ferments 3.10 Petrol burns in an engine

4. A method requires that 10 g of NaCl be weighed off. 5 students each weigh off a portion of NaCl and the
following results are produced:
A = 10.07g B = 10.33 g C = 10.31 g D = 10.29 g E = 12.45 g
Which measurement/s:
4.1 Show good accuracy?
4.2 Show good precision?
4.3 Is an outlier?

5. Classify the following as exact numbers or inexact numbers:
5.1 6 eggs 5.5 1.25 kg
5.2 15.4 ml 5.6 37 °C
5.3 100 cm in 1 m 5.7 5 books
5.4 30 students 5.8 984 mm
6. How many significant figures do the following measured quantities have?
6.1 27.53 cm 6.7 0.01205 g
6.2 64 °F 6.8 876 cm
6.3 0.060800 m 6.9 0.0002 L
6.4 102.0 g 6.10 8000.0
6.5 0.00021 kg 6.11 1.01 mm
6.6 39.240 cm 6.12 2000 mg

7. Round each value off to the number of significant figures indicated in brackets:
7.1 8.765 (2 SF) 7.6 89.254 (4 SF)
7.2 0.0254 (1 SF) 7.7 0.00250 (2 SF)


TUTORIAL MATTER AND MEASUREMENT 1

, 7.3 48.695 (3 SF) 7.8 7.654 x 102 (1 SF)
7.4 48790 (2 SF) 7.9 1.265 x 10-3 (3 SF)
7.5 0.01054 (1 SF) 7.10 54.342 x 105 (2 SF)
8. Express the following numbers in scientific notation:
8.1 23547 8.6 6500.0
8.2 0.00187 8.7 500000
8.3 12000 8.8 0.2500
8.4 0.000540 8.9 100100000
8.5 0.00000021 8.10 2.00

9. Express the following in non-exponential form:
9.1 1.34 x 103 9.6 6.500 x 104
9.2 2.658 x 106 9.7 5 x 103
9.3 2.0 x 10-2 9.8 2.5010 x 10-4
9.4 5.40 x 101 9.9 10.01 x 10-1
-6
9.5 5.8 x 10 9.10 5 x 100

10. Complete the following calculations and round the answer off to the correct number of significant
figures.
10.1 3.24 cm x 1.223 cm x 1.0 cm
10.2 0.900 µg – 0.0010 µg
10.3 2.3 ml + 1.334 ml
10.4 0.560 g ÷ 150 ml
10.5 0.0045 mm + 0.03 mm – 0.01920 mm
10.6 1.98 x 103 ng + 0.432 x 103 ng
10.7 (0.0034 + 0.012)kg ÷ (3.245 – 2.9305)m3
10.8 1.254 cm – 0.58 cm x 2.35 ml
10.9 5.64 x 10-4 mm x 10.01 x 10-1 mm
10.10 2.0 x 10-2  6.500 x 104 – 5 x 103

11. Convert the following given units to the unit in question:
11.1 45.7 miles ____km 11.6 178 cm ____ft
11.2 108 g ____mg 11.7 704 µg ____kg
3
11.3 4.92 x 10 L ____cL 11.8 4.29 x 108 bytes ____Mb
11.4 4.2 hr ____s 11.9 6.098 x 104 gal ____mL
11.5 6.98 st ____kg 11.10 7.98 ml/s ____L/min

12. Complete the following using the example as guidance:
If 1 m2 = 1m x 1m
eg. = 10 dm x 10 dm = 100 dm2
= ____cm x ____cm = ____cm2
= ____mm x ____mm = ____mm2
= ____µm x ____ µm = ____µm2
= ____nm x ____ nm = ____nm2
= ____dam x ____dam = ____dam2
= ____hm x ____hm = ____hm2
= ____km x ____km = ____km2


TUTORIAL MATTER AND MEASUREMENT 2