Practice Questions
1. Convert the following into metres (m) and write in standard form: a) Distance from London to New York = 5585 km b) Height of Einstein was 175 cm c) Thickness of a human hair = 25.4 μm d) Distance to the edge of the universe = 100,000 million million million km a) 5.585 x 10 6 m b) 1.75 m c) 2.54 x 10 -5 m d) 10 26 m

Practice Questions
2. Convert the following times into seconds (s) and write in standard form: a) 85 years, how long Newton lived b) 2.5 ms, the time taken for a mosquito’s wing to go up and down c) 4 days, the time it took to travel to the moon d) 2 hours, 52 min 59 s, the time time for the
Concord to fly from London to New York a) 2.69 x 10 9 s b) 2.5 x 10 -3 s c) 3.46 x 10 5 s d) 1.0379 x 10 4 s

Practice Questions
3. Convert the following masses to kilograms (kg) and write in the standard form: a) The mass of an apple = 200 g b) The mass of a grain of sand = 0.00001 g c) The mass of a family car = 2 tonnes a) 0.2 kg b) 1 x 10 -8 kg c) 2 x 10 3 kg

Practice Questions
4. Calculate the volume of a room of length 5 m, width 10 m and height 3m.
5. What is the volume of a human hair with length 20 cm?
6. Calculate the volume of the Earth (radius = 6.378 x 10 6 m).
4) 150 m 3
5) 1.0 x 10 -10 m 3
6) 1.09 x 10 21 m 3

Practice Questions
7. Calculate the mass of the air in the previous room. The density of air is 1.2 kg m -3 .
8. Calculate the mass of a gold bar of length 30 cm, width 15 cm, height 10 cm and density 1.93 x 10 4 kg m -3 .
9. The Earth has a mass of 5.97 x 10 24 kg, calculate its average density.
7) 180 kg
8) 86.85 kg
9) 5.48 x 10 3 kg m -3

Practice Questions
10. To determine the area of an object, two lengths l
1 and l
2 are measured. l
1
= 10.25 +/- 0.05 cm l
2
= 15.45 +/-0.05 cm.
Calculate: a) the % uncertainty in l
1 b) the % uncertainty in l
2 c) the area of the object d) the % uncertainty in the area a) 0.5 % b) 0.3 % c) 158.36 cm 2 d) 0.8 %

Practice Questions
11. A boat travels 4 km west followed by 8 km north. What is the resultant displacement?
12. A plane flies 100 km north then changes course to fly 50 km east. What is the resultant displacement?
13. If a boat travels 10 km in a direction 30° east of north, how far north has it traveled?
14. On his way to the South Pole , Amundsen traveled 8 km in a direction that was 20° west if south. What was his displacement south?
15. A mountaineer climbs 500 m up a slope that is inclined at an angle 60° to the horizontal. How high has he climbed?
11) 8.94 km, 26.6°
12) 112 km, 26.6°
13) 8.66 km
14) 7.52 km
15) 433 km

Practice Questions a) half area of graph paper used; axes labels and units included; scale; data points; b) absolute uncertainty in Q at 10.0 V = +/- 3nC; absolute uncertainty in Q at 50.0 V = +/- 18nC; correct placing on graph; c) from top of error bar at (50,180) to bottom of error bar (10,30);
Use of at least half of the line or algebraic indication; value = 4.3 or 4.3 x 10 -9 ; d) CV -1 e) recognize that m = ε
°
A / d ; therefore ε
°
= dm / A
(0.51 x 10 -3 )(4.3 x 10
;
-9 ) / 0.15;
1.5 x 10 -11 CV -1 m -1 ;

Practice Questions
2) C
3) A
4) C
5) C

Practice Questions
6) C
7) D
8) B
9) C