Unit 2 - Measuring, Recording and Processing Data G10

Question 1

Write to one significant figure the number : 54.7

Answer 1

50

Question 2

Write to one significant figure the number : 3005

Answer 2

3000

Question 3

Write to one significant figure the number : 8.9

Answer 3

9

Question 3

Write to one significant figure the number : 3556

Answer 3

4000

Question 4

Write to one significant figure the number : 0.00359

Answer 4

0.004

Question 5

Write to the nearest tenth , e.g. to the nearest 0.1 the number : 3005.58

Answer 5

3005.6

Question 5

Write to the nearest tenth , e.g. to the nearest 0.1 the number : 0.1988

Answer 5

0.2

Question 6

Write to the nearest tenth , e.g. to the nearest 0.1 the number : 3.00567

Answer 6

3.0

Question 7

Write to the nearest hundredth , e.g. to the nearest 0.01 the number : 0.1988

Answer 7

0.20

Question 8

Write the correct full average (no rounding) of the following numbers: 2.34, 3.45, 5.56, 6.35 ,4.81

Answer 8

4.502

Question 8

Write to the nearest hundredth , e.g. to the nearest 0.01 the number : 3.00567

Answer 8

3.01

Question 9

Write the uncertainty of the following numbers to 1 s.f. (one significant figure): 2.21, 2.45, 2.91,

Answer 9

0.4

Question 10

A number of readings are taken. The uncertainty to 1 s.f. is 0.07. The full average is 94.568. Write down the correctly rounded average

Answer 10

94.57

Question 10

What is the title of the Dependent Variable?

Answer 10

Time (being effected)

Question 11

Why are there four (4) time results for each length result?

Answer 11

The object was timed four times for each length

Question 12

From the above graph write a conclusion (you will have to check the answer afterwards

Answer 12

As the number of apples increses by 1 the number of oranges increases by 0.25

Question 13

Does this graph support the hypothesis that the number of apples and oranges will increase at the same rate? Explain

Answer 13

The results do not support the hypothesis. The number of apples needs to increase by 4 to cause an increase in oranges by 1

Question 13

Hypothesis

Answer 13

If we increase the distance of the object to the mirror (cm) then the average distance of the image to the mirror will also increase.

This is because, using the law of reflection, the angle of reflection equals the angle of incidence. We can see that the image formed by the mirror is at the same distance as that of the object.

Question 13

Explain the origin of the instrument uncertainty

Answer 13

The uncertainty of ± 0.1 in the distance of the object to the mirror is due to the size of the smallest unit on the table of results.
The uncertainty of ± 0.1 in the distance of the image to the mirror is due to the size of the smallest unit on the table of results.

Question 14

Describe what the graph is showing using both of the variables names and how they change.

Answer 14

As the distance of the object to the mirror increases the average distance of the image to the mirror increases.

Question 14

Describe any ‘fit’ that you can use for the graph.

Answer 14

As we can draw a straight line through the points and error bars, we can use a line of best fit.

Question 15

Write down the formula from the graph
(you will not be able to access full marks without the formula)
Use correct variables (not X and Y)

Answer 15

A = 0.9400D + 0.1600

Question 16

Interpret the formula in terms of the variables including numbers

Answer 16

The formula tells us that the change of slope is that as the ‘D’ increased by one, the ‘A’ increased by 0.9400.

Question 17

Discuss the result in light of the hypothesis; you must be using the word ‘CHANGE’, you must compare the rate of change that you have found from your graph (not your raw results) to the predicted rate of change. Do your results support (give evidence for) the hypothesis?

Answer 17

In my hypothesis, I predicted that the ‘A’ would increase with the same amount as ‘D’. My results show that ‘A’ increases by 0.9400 when ‘D’ increases by 1. Although there is a strong correlation (0.9992), they are not increasing by the same amount.

Question 18

What to explain in conclusion

Answer 18

Use gradient to find how much y-axis increases in comparison to x-axis
For example, m=0.25, so as x increases by 1 while y increases by 0.25.
every 4 times x increases y increases by 1

Question 19

Hypothesis

Answer 19

Focused research question:
How does changing the independent variable affect the dependent variable?

1) if the independent variable increases the dependent variable will: increase/decrease/stay the same
2) by a constant amount (the gradient) or not constant (no gradient)
3) same/different amount (using the gradient) ex: gradient = 1 is same.

Question 20

What does y intercept represent in the formula for a line?

Answer 20

l

Question 21

whay does gradient represent in the formula for a line?