1. Median = 5.5 Mean = 60/10 = 6 Mode = 3 Range = 13
Find the mean, mode, median and range of the numbers:
3, 7, 9, 1, 3, 14, 7, 3, 4, 9
1, 3, 3, 3, 4, 7, 7, 9, 9, 14
Median = 5.5
Mean = 60/10 = 6
Mode = 3 Range = 13

2. 1, 3, 3, 3, 4, 7, 7, 9, 9, 14
Median = 5.5 Mean = 60/10 = 6 Mode = 3 Range = 13
If I change a 3 for a 4 what happens to the measures?
Can you change one number so that the mean changes but none of the other measures change?
Can you change one number so that the median changes but none of the other measures change?
If an extra 3 is added what will change?
Can you change one number so that the range is reduced but none of the other measures change?
How can you change just one number so that two of the measures change?

3. Question:. The monthly charge for a mobile phone is £25
Question: The monthly charge for a mobile phone is £25. This includes 300 minutes free each week. After that there is a charge of 5p per minute. Calculate the cost of using the phone for 540 minutes, 600 minutes, 310 minutes and 450 minutes for each of the 4 weeks in one month.
What other questions could you ask about this situation?
What would happen to the bill if only 100 minutes were used in the third week?
What difference is it likely to make to the bill if calls after 6.00 pm are only 3p per minute?
Is it good value?
What other information would you want to know about the charges for this phone before you agreed to have it?
Can you make the question more realistic?

4. Question:. Find the equation of the straight line that is
Question: Find the equation of the straight line that is parallel to y + 2x = 9 and passes through the point (4, -10).
What difference will it make to the answer if the point is (4, -12) instead of (4, -10)?
2. What difference will it make to the answer if the new line had to be perpendicular to y + 20x = 90 rather than parallel?
3. If the original question was part (a) of a longer question, what could part (b) be?
4. What could you change, in the question, so that the line passes through the point (1, 10)
5. Do any of the lines used so far pass through the point (2, -6). How can you tell?

5. Question: Express in the form where a and b are integers to be determined. Hence write down the transformation that sends to the graph
1. What difference would it make to the answers if the 8 was changed to a 10?
2. What difference would it make to the answers if the 3 was changed to a -3?
3. Change the question so that the answer to the second
part is a translation of
4. How could you make the question harder?
5. How could you make the question easier?

6. What questions could you ask about this circle?
Write down 3 questions about it.

7. 10 cm
30º
What questions could you ask?

8. Distance from home
Time
What questions could you ask?

9. (1, 4) x
(3, 10)
What questions could you ask?

10. What questions could you ask?

11. What questions could you ask?
Percentage of male and female who had drunk alcohol on 5 days or more in the week prior to interview.
Mean consumption of children aged 11 – 15 who drank in the last week.
What questions could you ask?
Can you write a hard question, a medium question and an easy question all of which can be answered from the graph or the chart above?

12. Good prompts to create discussion from and open up closed questions:
1. What happens when …..?
2. What happens if I change …..?
3. What difference would it make if …..?
4. Convince me that …..?
5. How would you describe …..?
6. How could you make it true that …..?
7. What could you change so that …..?
8. How could you make the question easier …..?
9. How could you make the question harder …..?

13. Work out the size of the angle marked x.
Write down the size of the angle marked y and give a reason for your answer.
What information might you have been given in the question?

14. Find the equation of the circle.
What information might you have been given in the question?