| Maths
and Physics Quiz – Worked Solutions |
Please
complete the following questions to the best of your ability
(use your Maths GCSE notes if you are having
difficulties !)
|
| |
| 1. |
Express the following quantities
in Standard Form:
e.g. The speed of light in free space is 300,000,000 m/s or
3x108 m/s in standard form. |
| |
- 23,000 Kg = 2.3 x 104 Kg
- 876,000,000 m = 8.76 x 108 m
- 0.000123 F = 1.23 x 10-4 F
- 1/1000 C = 0.001 C = 1 x 10-3 C
- 205 Km = 3,200,000 Km = 3.2 x 106 Km
|
| 2. |
Light travels at 3x108 m/s. How far will
it have travelled in 16x1015 s ?
distance = speed x time
distance = (3 x 108) x (16 x 1015)
distance = 4.8 x 1024 m |
| 3. |
The reading on a scale is 35.346 Kg. The
scale is only accurate to 3 Significant Figures. Write the
reading to the correct degree of accuracy.
Answer: 35.3 Kg |
| 4. |
A bottle contains 500 cm3 of a liquid.
Write this volume in m3.
There are (100)3 cm3 in 1m3 so
500/1003 = 5 x 10-4 m3 |
| 5. |
If k=100 N/m and m=4 Kg then
calculate frequency, f
using
the equation 
 =
0.8 Hz
|
|
| 6. |
An experiment on a metal-filament
lamp gave the following values of resistance R (ohms) at various
voltages V (volts):
V
(volts)
|
R
(ohms)
|
62
|
100
|
75
|
117
|
89
|
135
|
100
|
149
|
120
|
175
|
Plot a graph of R (y-axis) against
V (x-axis).
Draw a line of best-fit and calculate
- the gradient of the graph = 1.3
- the intercept on the y-axis = 20
|
| 7. |
John’s
car travels a distance of 750 m in a straight line up a
hill. The angle of inclination
of
the hill is 14 degrees to the horizontal AC. Calculate the
vertical height BC.
Sin 14 = opposite / hypotenuse
Sin 14 = BC / 750
BC = Sin 14 x 750
BC = 181.4 m
|
| 8. |
Rearrange the formula v2=u2 + 2as so that
a is the subject.
v2-u2
= 2s
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