Question 1: Convert 75% to a decimal.

Answer: 0.75

Question 2: Convert 0.48 to a percentage.

Answer: 48%

Question 3: Express 125% as a decimal.

Answer: 1.25

Question 4: Convert 0.0065 to a percentage.

Answer: 0.65%

Question 1: A shirt costs £40. If there is a 15% discount, what is the discount amount in pounds? Explain your calculation.

Answer: The discount is £6, calculated as 15% of £40, i.e., 0.15 × 40 = 6.

Question 2: A student scored 88% in a test. If the total marks are 50, how many marks did the student get? Show your working.

Answer: The student scored 44 marks, calculated as 88% of 50, i.e., 0.88 × 50 = 44.

Question 3: A price of $120 is increased by 12%. What is the new price? Show your calculation.

Answer: New price = 120 + (12% of 120) = 120 + 0.12 × 120 = 120 + 14.4 = $134.40.

Question 4: A map has a scale where 1 cm represents 0.75 km. What is the scale factor as a decimal? Explain your reasoning.

Answer: The scale factor as a decimal is 0.75, obtained directly from the given ratio.

Question 1: A student converts 65% to a decimal as 6.5. Identify the mistake and correct it.

Answer: The mistake is placing the decimal point one place too far; correct answer is 0.65.

Question 2: A student writes 0.35 as 35%. Is this correct? Explain why or why not.

Answer: Yes, because 0.35 = 35/100 = 35%.

Question 3: A student converts 8% to 0.8. Identify the error and provide the correct answer.

Answer: The error is dividing by 10 instead of 100; correct answer is 0.08.

Question 1: Express 3.5% as a decimal and as a fraction in simplest form.

Answer: Decimal: 0.035; Fraction: 7/200.

Question 2: A product has a 2.5% price increase. If the original price was $60, what is the new price? Show your working.

Answer: Increase = 0.025 × 60 = 1.50; new price = 60 + 1.50 = $61.50.

Question 3: Convert 0.004 to a percentage and explain your steps.

Answer: 0.4% (multiply 0.004 by 100).