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For example, calculating each price per item or per kilogram reveals which pack genuinely offers better value."},{"text":"Compare the total price of each pack.","correct":false,"explanation":"Total prices alone are misleading when packs contain different quantities. Compare the same unit or amount, such as price per item, to identify the better buy."},{"text":"Compare the largest available pack size.","correct":false,"explanation":"A larger pack is not automatically better value because its unit cost may be higher. Compare the same unit or amount for every option."},{"text":"Compare the amount saved on each pack.","correct":false,"explanation":"A displayed saving does not ensure the lowest unit cost, especially across different pack sizes. Compare the same unit or amount to make a fair judgement."}]},{"id":"26df06a0-9a91-087b-aa8e-56519a893564","cardType":"cloze","points":null,"front":"The best value option has the [ ], not necessarily the lowest shelf price.","back":"The best value option has the lowest unit cost, not necessarily the lowest shelf price.","mcqOptions":[{"text":"lowest unit cost","correct":true,"explanation":"The lowest unit cost means paying the least for each equal unit, such as one item or 100 g. This allows a fair comparison between different pack sizes."},{"text":"lowest total cost","correct":false,"explanation":"Choosing the lowest total cost confuses shelf price with value for money. The correct fill is lowest unit cost, because pack quantities may differ."},{"text":"largest pack size","correct":false,"explanation":"The largest pack can still have a higher price per item or per gram. The correct fill is lowest unit cost, which compares equal quantities."},{"text":"greatest total saving","correct":false,"explanation":"A large advertised saving does not necessarily produce the best price for each unit. The correct fill is lowest unit cost, found by comparing equivalent quantities."}]},{"id":"f894bfbc-ac06-3a55-47c8-0c32475bba84","cardType":"cloze","points":null,"front":"Unit cost = [ ].","back":"Unit cost = total price ÷ quantity.","mcqOptions":[{"text":"total price ÷ quantity","correct":true,"explanation":"Dividing the total price by the number or quantity of units gives the cost of one unit, allowing packs of different sizes to be compared fairly."},{"text":"quantity ÷ total price","correct":false,"explanation":"This reverses the division and calculates quantity per pound rather than cost per unit. The correct formula is total price ÷ quantity."},{"text":"total price × quantity","correct":false,"explanation":"Multiplying combines the price and quantity instead of finding the cost of one unit. Unit cost is calculated using total price ÷ quantity."},{"text":"total price ÷ pack size","correct":false,"explanation":"Pack size can mean the number of packs rather than the quantity of goods being priced. The general formula is total price ÷ quantity."}]},{"id":"22af1250-c7c0-618e-702b-2d5175242926","cardType":"basic","points":2,"front":"Why can the cheapest total price be worse value?","back":"It may cost more per item.","mcqOptions":[{"text":"It may cost more per item.","correct":true,"explanation":"A cheaper pack may contain fewer items, making each individual item more expensive. Calculating the cost per item gives a fair comparison of value."},{"text":"It may contain more items overall.","correct":false,"explanation":"Containing more items would not explain why a lower total price gives worse value. It may cost more per item because the quantity is smaller."},{"text":"It may cost less per item.","correct":false,"explanation":"A lower cost per item would make the pack better, not worse, value. The cheapest pack can be worse because it may cost more per item."},{"text":"It may have the largest saving.","correct":false,"explanation":"A large saving would not itself explain worse value, and advertised savings can be misleading. The pack may instead cost more per item."}]},{"id":"0cd3750d-7267-095e-a33f-28b13e315477","cardType":"basic","points":1,"front":"12 rolls cost £4.20. What is the cost per roll?","back":"35p per roll.","mcqOptions":[{"text":"35p per roll.","correct":true,"explanation":"Convert £4.20 to 420p, then divide by 12. Since $420 \\div 12 = 35$, each roll costs 35p."},{"text":"30p per roll.","correct":false,"explanation":"This results from dividing incorrectly or rounding too early. Converting £4.20 to 420p and calculating $420 \\div 12$ gives 35p per roll."},{"text":"42p per roll.","correct":false,"explanation":"This treats the 12-roll pack as though it contained 10 rolls. The correct calculation is $420 \\div 12 = 35$, so each roll costs 35p."},{"text":"50p per roll.","correct":false,"explanation":"This does not divide the 420p total by all 12 rolls. The correct unit cost is $420 \\div 12 = 35$, giving 35p per roll."}]},{"id":"ad798d26-6279-aa7b-61a6-ff104537ad94","cardType":"basic","points":1,"front":"5 rolls cost £1.85. What is the cost per roll?","back":"37p per roll.","mcqOptions":[{"text":"37p per roll.","correct":true,"explanation":"Convert £1.85 to 185p, then divide by 5. Since $185 \\div 5 = 37$, each roll costs 37p."},{"text":"35p per roll.","correct":false,"explanation":"This effectively uses 175p instead of the actual total of 185p. Calculating $185 \\div 5$ gives the correct cost of 37p per roll."},{"text":"39p per roll.","correct":false,"explanation":"This comes from an inaccurate division of the total price. Converting to 185p and dividing by 5 gives 37p per roll."},{"text":"45p per roll.","correct":false,"explanation":"This overestimates the unit cost by dividing the total incorrectly. The calculation $185 \\div 5 = 37$ gives 37p per roll."}]},{"id":"570a09e1-4569-ff69-738b-11d0020db904","cardType":"basic","points":1,"front":"Which is better value: 35p per roll or 37p per roll?","back":"35p per roll.","mcqOptions":[{"text":"35p per roll.","correct":true,"explanation":"Both prices use the same unit, so they can be compared directly. Since 35p is less than 37p, 35p per roll is better value."},{"text":"37p per roll.","correct":false,"explanation":"Choosing the larger unit price reverses the best-buy comparison. Since both costs are per roll, the lower price of 35p per roll is better value."},{"text":"36p per roll.","correct":false,"explanation":"Averaging the two prices does not identify either available option. The lower given unit cost is 35p per roll, so it is the better value."},{"text":"72p per roll.","correct":false,"explanation":"Adding the two unit prices does not compare their value. Because 35p is lower than 37p, 35p per roll is the better-value option."}]},{"id":"09937d06-fb42-b048-f1a2-18e9b15c2179","cardType":"basic","points":2,"front":"For shampoo bottles, why is comparing pence per 100 ml with pence per ml unfair?","back":"The units are different.","mcqOptions":[{"text":"The units are different.","correct":true,"explanation":"One price describes 100 ml while the other describes only 1 ml, so they are not directly comparable. Both prices must use the same volume."},{"text":"The bottle sizes are equal.","correct":false,"explanation":"Equal bottle sizes would not make the comparison unfair. The problem is that the units are different: one price is per 100 ml and the other per ml."},{"text":"The prices are too similar.","correct":false,"explanation":"Similarity between prices does not determine whether a comparison is fair. The comparison is unfair because the units are different and must first be converted."},{"text":"The volumes are both metric.","correct":false,"explanation":"Using metric measurements does not make unequal quantities directly comparable. The issue is that the units are different: 100 ml must be converted to 1 ml, or vice versa."}]},{"id":"018db30a-62b9-cf72-bce5-8c291542892f","cardType":"basic","points":2,"front":"Why can pence per 100 ml be easier than pence per ml?","back":"The answers are less tiny.","mcqOptions":[{"text":"The answers are less tiny.","correct":true,"explanation":"Scaling the comparison up to 100 ml produces larger, more readable numbers than using 1 ml, while still allowing products to be compared fairly."},{"text":"The answers are always whole numbers.","correct":false,"explanation":"Multiplying a unit cost by 100 does not guarantee a whole number. Pence per 100 ml is easier because the answers are less tiny."},{"text":"The bottles are exactly 100 ml.","correct":false,"explanation":"The bottles can contain many different amounts; 100 ml is only the common comparison quantity. It is useful because the resulting answers are less tiny."},{"text":"The prices are shown in pounds.","correct":false,"explanation":"The unit cost is normally expressed in pence, not pounds. Using pence per 100 ml is easier because the numerical answers are less tiny."}]},{"id":"4b1911fd-d56b-45db-d6a1-3a9077817545","cardType":"cloze","points":null,"front":"Cost per 100 ml = [ ].","back":"Cost per 100 ml = price ÷ ml × 100.","mcqOptions":[{"text":"price ÷ ml × 100","correct":true,"explanation":"Dividing the price by the volume finds the cost per millilitre, and multiplying by 100 then gives the cost per 100 ml."},{"text":"price ÷ 100 × ml","correct":false,"explanation":"This divides by the comparison quantity before multiplying by the bottle volume, reversing the required scaling. The correct calculation is price ÷ ml × 100."},{"text":"price ÷ ml","correct":false,"explanation":"Dividing the price by the volume finds the cost per 1 ml only. Multiply that result by 100, so the correct expression is price ÷ ml × 100."},{"text":"ml ÷ price × 100","correct":false,"explanation":"This finds an amount of shampoo per unit of money rather than a cost per volume. The required calculation is price ÷ ml × 100."}]},{"id":"32e15cd3-7662-4f01-c4e9-c644841d8b0c","cardType":"basic","points":1,"front":"800 ml of shampoo costs £4.80. What is the cost per 100 ml?","back":"60p per 100 ml.","mcqOptions":[{"text":"60p per 100 ml.","correct":true,"explanation":"There are eight lots of 100 ml in 800 ml, so dividing 480p by 8 gives 60p per 100 ml."},{"text":"6p per 100 ml.","correct":false,"explanation":"This decimal-place error makes the cost ten times too small. Dividing 480p by the eight lots of 100 ml gives 60p per 100 ml."},{"text":"600p per 100 ml.","correct":false,"explanation":"This decimal-place error makes the cost ten times too large. There are eight 100 ml portions, so 480p ÷ 8 gives 60p per 100 ml."},{"text":"48p per 100 ml.","correct":false,"explanation":"This treats the £4.80 price as though it were for 1000 ml. The bottle contains 800 ml, so 480p ÷ 8 gives 60p per 100 ml."}]},{"id":"064550f3-1b92-ca7c-d641-88bba511e289","cardType":"basic","points":1,"front":"350 ml of shampoo costs £2.24. What is the cost per 100 ml?","back":"64p per 100 ml.","mcqOptions":[{"text":"64p per 100 ml.","correct":true,"explanation":"A 350 ml bottle contains 3.5 lots of 100 ml. Converting £2.24 to 224p and calculating 224 ÷ 3.5 gives 64p."},{"text":"6.4p per 100 ml.","correct":false,"explanation":"This decimal-place slip makes the cost ten times too small. Dividing 224p by 3.5 lots of 100 ml gives 64p per 100 ml."},{"text":"78.4p per 100 ml.","correct":false,"explanation":"This comes from multiplying 224p by 0.35 instead of dividing by 3.5. The correct calculation, 224 ÷ 3.5, gives 64p per 100 ml."},{"text":"56p per 100 ml.","correct":false,"explanation":"This treats 350 ml as if it were 400 ml and divides the price by four. Using the actual 3.5 portions gives 64p per 100 ml."}]},{"id":"fe58f78b-1da0-fb01-8d74-8f9ef35240d9","cardType":"basic","points":1,"front":"Which shampoo is better value: 60p per 100 ml or 64p per 100 ml?","back":"60p per 100 ml.","mcqOptions":[{"text":"60p per 100 ml.","correct":true,"explanation":"Both prices are given for the same 100 ml quantity, so they can be compared directly. The lower cost, 60p, represents better value."},{"text":"64p per 100 ml.","correct":false,"explanation":"Choosing the larger unit cost reverses the best-buy rule. For equal quantities, the lower price is better value, so 60p per 100 ml wins."},{"text":"Both cost the same per 100 ml.","correct":false,"explanation":"The unit costs differ by 4p for every 100 ml, so the values are not equal. The 60p option is cheaper and therefore better value."},{"text":"Neither can be compared per 100 ml.","correct":false,"explanation":"The two costs use exactly the same comparison quantity, making a direct comparison possible. The lower figure, 60p per 100 ml, is better value."}]},{"id":"31ac4545-b802-4b47-ca0b-6dc1aad2a3b2","cardType":"cloze","points":null,"front":"For three options, find the [ ] for each, then choose the lowest.","back":"For three options, find the unit cost for each, then choose the lowest.","mcqOptions":[{"text":"unit cost","correct":true,"explanation":"The unit cost expresses each option’s price for the same quantity. Once all three use a common unit, the lowest cost identifies the best value."},{"text":"total cost","correct":false,"explanation":"Total prices cannot be compared fairly when the packs contain different amounts. Find the unit cost for each option, then choose the lowest one."},{"text":"pack size","correct":false,"explanation":"Pack size alone does not account for differences in price, so the largest pack is not necessarily best value. Unit cost provides the fair comparison."},{"text":"total volume","correct":false,"explanation":"Total volume shows how much product is supplied but not how much it costs for a common amount. Unit cost is needed to compare value."}]},{"id":"f21880e9-1459-cdd7-8cc2-96e8b44c479a","cardType":"basic","points":1,"front":"In the tea-bag example, what common amount is used for comparison?","back":"30 tea bags.","mcqOptions":[{"text":"30 tea bags.","correct":true,"explanation":"Each option’s price is converted to the cost of 30 tea bags. Using this common amount allows the different pack sizes to be compared fairly."},{"text":"50 tea bags.","correct":false,"explanation":"Although 50 could be used in another calculation, it is not the comparison amount chosen in this example. The example compares costs for 30 tea bags."},{"text":"100 tea bags.","correct":false,"explanation":"This is a familiar benchmark but not the common amount used in the example. Each pack is converted to a cost for 30 tea bags."},{"text":"150 tea bags.","correct":false,"explanation":"This confuses one pack’s full size with the common comparison quantity. The example scales each option to the cost of 30 tea bags."}]},{"id":"3e6e7173-cb7b-800b-e14c-89d1e9489532","cardType":"basic","points":1,"front":"150 tea bags cost £3.60. What is the cost per 30 tea bags?","back":"72p per 30.","mcqOptions":[{"text":"72p per 30.","correct":true,"explanation":"There are five groups of 30 in 150. Converting £3.60 to 360p and dividing by 5 gives 72p per 30 tea bags."},{"text":"24p per 30.","correct":false,"explanation":"This is the cost of ten tea bags, found by scaling the 2.4p per-bag cost by 10. Multiplying by 30 gives 72p per 30."},{"text":"120p per 30.","correct":false,"explanation":"This incorrectly treats 150 tea bags as three groups of 30 rather than five. Dividing 360p by the correct five groups gives 72p."},{"text":"18p per 30.","correct":false,"explanation":"This results from dividing the total price into too many groups. Since 150 ÷ 30 = 5, the correct calculation is 360p ÷ 5 = 72p."}]},{"id":"eac6db5e-0b68-85e7-d65b-e124b1f74545","cardType":"basic","points":1,"front":"Pack A costs 75p per 30, Pack B 72p per 30, Pack C 75p per 30. Which is best value?","back":"Pack B.","mcqOptions":[{"text":"Pack B.","correct":true,"explanation":"Each pack contains 30 items, so their prices can be compared directly. Pack B costs 72p, which is less than the 75p charged for Packs A and C."},{"text":"Pack A.","correct":false,"explanation":"Pack A costs 75p for the same quantity of 30, while Pack B costs only 72p. Choosing Pack A overlooks that the lower price for an equal quantity gives better value."},{"text":"Pack C.","correct":false,"explanation":"Pack C costs 75p for 30, exactly like Pack A, but Pack B provides the same quantity for 72p. Therefore, Pack B has the lowest unit cost."},{"text":"Packs A and C.","correct":false,"explanation":"Packs A and C have equal prices and quantities, but neither is the best value. Pack B supplies the same 30 items for 3p less."}]},{"id":"3c774785-c6bf-e517-84a4-b04f65c9cca5","cardType":"cloze","points":null,"front":""Extra free" changes the [ ]; "money off" changes the [ ].","back":""Extra free" changes the quantity; "money off" changes the price.","mcqOptions":[{"text":""Extra free" changes the quantity; "money off" changes the price.","correct":true,"explanation":"An extra-free offer increases the amount received without changing the stated price. A money-off offer reduces the amount paid without changing the stated quantity."},{"text":""Extra free" changes the price; "money off" changes the quantity.","correct":false,"explanation":"This reverses the two effects. Extra free increases the quantity supplied, whereas money off reduces the price paid for the stated quantity."},{"text":""Extra free" changes the price; "money off" changes the price.","correct":false,"explanation":"Only the second term is correct. Extra free changes the quantity received rather than the price, while money off does change the price."},{"text":""Extra free" changes the quantity; "money off" changes the quantity.","correct":false,"explanation":"Only the first term is correct. Extra free increases the quantity, but money off leaves the quantity unchanged and instead reduces the price."}]},{"id":"975aff66-a394-8dd3-dccf-b9a98a333be6","cardType":"basic","points":1,"front":"20% extra free on 200 wipes gives how many extra wipes?","back":"40 extra wipes.","mcqOptions":[{"text":"40 extra wipes.","correct":true,"explanation":"Calculate 20% of 200: $0.20 \\times 200 = 40$. The offer therefore adds 40 wipes to the original pack."},{"text":"20 extra wipes.","correct":false,"explanation":"This treats 20% as though it meant 20 wipes. The percentage must be applied to 200, giving $0.20 \\times 200 = 40$ extra wipes."},{"text":"44 extra wipes.","correct":false,"explanation":"This incorrectly applies 20% after first increasing the base to 220. The percentage is based on the original 200 wipes, so the extra quantity is 40."},{"text":"160 extra wipes.","correct":false,"explanation":"This is the amount left after incorrectly reducing 200 by 20%, not the extra quantity. The offer adds $20\\%$ of 200, which is 40 wipes."}]},{"id":"5a68d73d-3050-9429-b39f-df38994e073d","cardType":"basic","points":1,"front":"200 wipes plus 20% extra free gives how many wipes in total?","back":"240 wipes.","mcqOptions":[{"text":"240 wipes.","correct":true,"explanation":"The extra amount is $20\\%$ of 200, which is 40 wipes. Adding these to the original pack gives $200 + 40 = 240$ wipes."},{"text":"220 wipes.","correct":false,"explanation":"This adds 20 wipes rather than calculating 20% of 200. The extra amount is 40 wipes, so the total is $200 + 40 = 240$."},{"text":"160 wipes.","correct":false,"explanation":"This subtracts 20% as though the offer were a reduction in quantity. Extra free means adding 40 wipes, giving a total of 240."},{"text":"40 wipes.","correct":false,"explanation":"This gives only the number of extra wipes and omits the original 200. The total pack contains $200 + 40 = 240$ wipes."}]},{"id":"a88191e8-1664-8a9c-ad41-ba08eb993bbf","cardType":"basic","points":2,"front":"200 wipes plus 20% extra free for £3: what is the cost per wipe?","back":"1.25p per wipe.","mcqOptions":[{"text":"1.25p per wipe.","correct":true,"explanation":"The offer gives $200 + 40 = 240$ wipes. Converting £3 to 300p and dividing gives $300 \\div 240 = 1.25$p per wipe."},{"text":"1.50p per wipe.","correct":false,"explanation":"This divides 300p by the original 200 wipes and ignores the extra 40. Using all 240 wipes gives $300 \\div 240 = 1.25$p per wipe."},{"text":"1.20p per wipe.","correct":false,"explanation":"This results from incorrectly treating the 20% extra as 50 wipes, making 250 in total. The actual total is 240, so each wipe costs 1.25p."},{"text":"1.00p per wipe.","correct":false,"explanation":"This confuses 20% extra free with a 20% price discount. The price remains 300p and the quantity becomes 240, giving 1.25p per wipe."}]},{"id":"6ede6656-5e6a-47f0-9b86-f12e17126bfb","cardType":"basic","points":2,"front":"200 wipes with 15% off £3: what is the new price?","back":"255p.","mcqOptions":[{"text":"255p.","correct":true,"explanation":"Fifteen percent of 300p is $0.15 \\times 300 = 45$p. Subtracting the discount gives a new price of $300 - 45 = 255$p."},{"text":"45p.","correct":false,"explanation":"This is the value of the discount, not the new price. Subtracting the 45p discount from the original 300p gives 255p."},{"text":"285p.","correct":false,"explanation":"This subtracts only 15p, effectively confusing 15% with a fixed 15p reduction. The discount is 45p, so the new price is 255p."},{"text":"345p.","correct":false,"explanation":"This adds the 45p instead of subtracting it, treating the discount as a price increase. Fifteen percent off reduces 300p to 255p."}]},{"id":"8760a3a5-8b05-7bf9-ffc5-48047b3538db","cardType":"basic","points":1,"front":"Which is better value: 1.25p per wipe or 1.275p per wipe?","back":"1.25p per wipe.","mcqOptions":[{"text":"1.25p per wipe.","correct":true,"explanation":"For unit costs, the smaller price per item represents better value. Since 1.25p is less than 1.275p, 1.25p per wipe is better value."},{"text":"1.275p per wipe.","correct":false,"explanation":"This selects the larger unit cost, perhaps mistaking a higher number for better value. Better value means paying less per wipe, so 1.25p is preferable."},{"text":"They are equal value.","correct":false,"explanation":"The unit costs are close but not equal: 1.25p is 0.025p lower than 1.275p. Therefore, 1.25p per wipe gives better value."},{"text":"There is not enough information.","correct":false,"explanation":"Unit costs already allow a direct comparison, so the original pack prices and quantities are unnecessary. The lower cost, 1.25p per wipe, is the better value."}]},{"id":"c32fc0e0-7298-55e9-7713-053f02061040","cardType":"basic","points":2,"front":"Why should you avoid rounding unit costs too early?","back":"Close values may be compared wrongly.","mcqOptions":[{"text":"Close values may be compared wrongly.","correct":true,"explanation":"Rounding can make two slightly different unit costs appear equal or can reverse which seems smaller. Keeping full calculator values until the final comparison avoids this error."},{"text":"Close values may be made more accurate.","correct":false,"explanation":"Rounding removes digits and therefore reduces accuracy rather than improving it. Full unit costs should be retained until after comparison so close values are ranked correctly."},{"text":"Unit costs may be given different units.","correct":false,"explanation":"Rounding changes numerical precision, not the units used. The real danger is that close unit costs may be made equal or compared in the wrong order."},{"text":"Calculations may become needlessly longer.","correct":false,"explanation":"Rounding usually shortens numbers, but that is not why it should be delayed. Early rounding can distort close unit costs and lead to the wrong best-buy choice."}]}]}],"examCountdown":null,"heading":"Best Buy Questions","title":"Best Buy Questions Flashcards","topbar":{"backHref":"/gcse/maths/ccea/flashcards"},"topicSidebar":"$L39"}]}],"topicId":"74461a0c-caba-b3c1-c5f6-ba4eb005f9d0","walled":"$L3a"}],"$L3b","$L3c"]