Question 1: The unit price of an item is calculated by dividing the total cost by the number of units. Ensure that the units are consistent when comparing prices.

Answer: Total cost ÷ Number of units

Question 1: A 12-pack of bottled water costs £4.80. What is the unit price per bottle?

Answer: 40p

Question 2: A 24-pack of pens costs £3.60. Calculate the unit price per pen in pence.

Answer: 15

Question 3: A box of 6 chocolate bars costs £3.30. Find the price per chocolate bar.

Answer: 55p

Question 1: A supermarket sells 2kg of rice for £3.20 and another brand for £4.00 for 3kg. Which brand has the lower unit price? Show your working.

Answer: First: £3.20 ÷ 2kg = £1.60/kg; Second: £4.00 ÷ 3kg ≈ £1.33/kg; Lower price is second brand.

Question 2: A 500g jar of jam costs £2.50, and a 750g jar costs £4.20. Which is the better buy? Explain your reasoning.

Answer: First: £2.50 ÷ 0.5kg = £5.00/kg; Second: £4.20 ÷ 0.75kg = £5.60/kg; First jar is better value.

Question 3: A student buys two different brands of cereal. Brand A: 750g for £2.25. Brand B: 1kg for £3.30. Which is cheaper per gram? Show your calculations.

Answer: Brand A: £2.25 ÷ 750g = £0.003 per g; Brand B: £3.30 ÷ 1000g = £0.0033 per g. Brand A is slightly cheaper.

Question 1: A student calculates the unit price of a 10kg bag of potatoes costing £6.50 as £0.65 per kg. Is this correct? If not, explain and correct the mistake.

Answer: Incorrect - £6.50 ÷ 10kg = £0.65, which is correct. No mistake.

Question 2: A student compares a 1.5L bottle costing £1.80 with a 2L bottle costing £2.50 and claims the first is cheaper per litre. Is this correct? Why or why not?

Answer: Incorrect - First: £1.80 ÷ 1.5L = £1.20/L; Second: £2.50 ÷ 2L = £1.25/L; First is cheaper, so correct.

Question 3: A student divides the total cost by the total grams and gets a unit price in pence. Is this a valid method? Explain why or why not.

Answer: Yes, dividing total cost by total grams gives cost per gram, which is valid for comparison if units are consistent.

Question 1: A grocery store sells a 1.5kg pack of flour for £1.80 and a 2kg pack for £2.30. Which pack offers better value per kilogram? Show your calculations.

Answer: First: £1.80 ÷ 1.5kg = £1.20/kg; Second: £2.30 ÷ 2kg = £1.15/kg; Second pack is better value.

Question 2: A customer buys two types of fruit: apples and oranges. Apples cost £3.00 for 6 apples, and oranges cost £2.50 for 8 oranges. Which fruit is cheaper per piece?

Answer: Apples: £3.00 ÷ 6 ≈ £0.50; Oranges: £2.50 ÷ 8 ≈ £0.3125. Oranges are cheaper.

Question 1: A 5kg bag of rice costs £7.50, and a 3kg bag costs £4.20. Calculate the percentage difference in unit prices. Which is better value?

Answer: First: £7.50 ÷ 5kg = £1.50/kg; Second: £4.20 ÷ 3kg = £1.40/kg; Difference: (£1.50 - £1.40) / £1.50 ≈ 6.67%; Second is better value.

Question 2: A store sells two sizes of detergent. The large size: 3.5L for £4.20; small size: 2L for £2.60. Which offers better value per litre? Show your calculations.

Answer: Large: £4.20 ÷ 3.5 ≈ £1.20/L; Small: £2.60 ÷ 2 = £1.30/L; Larger size is better value.

Question 1: Explain why comparing unit prices is more accurate than comparing total prices when shopping for larger quantities.

Answer: Because total prices may be misleading if quantities differ; unit price standardizes the comparison, ensuring accurate value assessment.

Question 2: If a 1L bottle costs £1.20 and a 750mL bottle costs £1.00, which is the better buy? Show your work.

Answer: 1L: £1.20 per litre; 750mL: £1.00 ÷ 0.75 = £1.33 per litre; First is better.