Question 1: On a number line, a point moves from 0.3 to 0.45. How much has the point moved?

Answer: 0.15

Question 2: Convert 0.75 to a percentage using the moving point method by moving from 0 to 75%.

Answer: 75%

Question 3: A point moves from 20% to 0.45 on a number line. What was its original decimal value?

Answer: 0.20

Question 4: Plot the graph of y = 2x where x ranges from 0 to 0.5. Use the grid to mark points.

Answer: Points at (0,0), (0.25,0.5), (0.5,1)

Question 5: Construct a triangle on the grid with one vertex at 0.2, another at 0.35, and the third at 0.5, each representing decimals. Label the sides.

Answer: Various, based on construction

Question 6: A shop offers a 20% discount. If the original price is £50, what is the discounted price? Use the moving point method to find the equivalent decimal.

Answer: £40

Question 7: A decimal moves from 0.6 to 0.85 as a percentage. What percentage does it represent?

Answer: 85%

Question 8: Identify and correct the mistake: To convert 0.9 to a percentage, you move the point to 90.0%.

Answer: Correct, but typically written as 90% (no decimal point needed)

Question 9: A point moves from 0.12 to 0.36 on a number line. What is the percentage increase?

Answer: 200%

Question 10: Challenge: On a number line, a point starts at 0.15 and moves to 0.375. If the decimal represents a percentage, what is the percentage increase? Show your working.

Answer: Moving from 15% to 37.5%, the increase is 22.5%, which is a 150% increase relative to the original.

Question 11: Identify the common mistake when converting 0.8 to a percentage and explain how to avoid it.

Answer: Mistake: Moving the decimal two places to the right. To avoid errors, remember that 0.8 = 80% without adding extra zeros.