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total price of product.","correct":false,"explanation":"The total price need not be equal because best-buy calculations compare what each quantity costs. The amount or unit of product must be kept the same."},{"text":"The shop/location of purchase.","correct":false,"explanation":"Using the same shop is unnecessary and does not account for different pack sizes. A fair comparison keeps the amount or unit of product the same."},{"text":"The packaging/type of product.","correct":false,"explanation":"Packaging can differ without affecting value, so matching it does not create a fair numerical comparison. The amount or unit of product must be kept the same."}]},{"id":"f83c7b8a-1153-4054-bb4e-fea7def8afbe","cardType":"basic","points":2,"front":"Why can the cheapest total price fail to be best value?","back":"It may give much less product.","mcqOptions":[{"text":"It may give much less product.","correct":true,"explanation":"A lower total price can simply reflect a smaller quantity. Comparing unit prices reveals whether the cheaper option actually provides more product for the money."},{"text":"It may have the lowest unit price.","correct":false,"explanation":"Having the lowest unit price would normally make an option the best value, not explain its failure. The cheapest total price can fail because it provides much less product."},{"text":"It may give much more product.","correct":false,"explanation":"Providing much more product would generally strengthen the case for good value. The real problem is that the cheapest option may provide much less product."},{"text":"It may cost less per unit.","correct":false,"explanation":"Costing less per unit is the criterion for better value, so this would support the cheapest option. It can fail when its lower price buys much less product."}]},{"id":"0be352ad-ff3e-493c-a861-075125998875","cardType":"cloze","points":null,"front":"Unit price = [ ] ÷ [ ].","back":"Unit price = price ÷ amount.","mcqOptions":[{"text":"Unit price = price ÷ amount.","correct":true,"explanation":"Dividing the total price by the amount gives the cost of one unit, enabling packs of different sizes to be compared on the same basis."},{"text":"Unit price = amount ÷ price.","correct":false,"explanation":"This reverses the required division and calculates an amount per unit of currency. Unit price is found by dividing price by amount."},{"text":"Unit price = price ÷ unit price.","correct":false,"explanation":"Dividing price by unit price would recover the amount, making this formula circular. Unit price must be calculated by dividing price by amount."},{"text":"Unit price = unit price ÷ amount.","correct":false,"explanation":"Dividing an already known unit price by the amount reduces it again and does not calculate unit cost. The required calculation is price divided by amount."}]},{"id":"c7a6d4af-b34f-4855-931a-391ada741d36","cardType":"basic","points":1,"front":"After fair unit prices are found, which option is best value?","back":"The option with the lowest unit price.","mcqOptions":[{"text":"The option with the lowest unit price.","correct":true,"explanation":"Once every option is expressed for the same unit, the lowest unit price gives the greatest quantity for each pound or penny spent."},{"text":"The option with the highest unit price.","correct":false,"explanation":"A higher unit price means paying more for the same amount, so it represents worse value. The option with the lowest unit price is best."},{"text":"The option with the lowest total price.","correct":false,"explanation":"The lowest total price may belong to a much smaller pack and therefore need not be best value. The lowest unit price identifies the best option."},{"text":"The option with the largest product amount.","correct":false,"explanation":"The largest amount may also cost disproportionately more, so pack size alone cannot determine value. The option with the lowest unit price is best."}]},{"id":"d95e7a14-2ccc-448f-b257-0baae24c2a70","cardType":"basic","points":1,"front":"Convert £4.08 into pence.","back":"408p.","mcqOptions":[{"text":"408p.","correct":true,"explanation":"There are 100 pence in one pound, so multiplying £4.08 by 100 gives 408 pence."},{"text":"40.8p.","correct":false,"explanation":"This results from multiplying by 10 rather than 100. Since £1 equals 100p, £4.08 converts to 408p."},{"text":"4.08p.","correct":false,"explanation":"This leaves the numerical value unchanged and ignores that pounds must be multiplied by 100 to become pence. The correct conversion is 408p."},{"text":"480p.","correct":false,"explanation":"This incorrectly treats the zero in £4.08 as if the digits could be rearranged. Multiplying the amount by 100 gives 408p, not 480p."}]},{"id":"057b1206-879f-46c1-bd7e-ce1348c837e3","cardType":"basic","points":1,"front":"For countable items, what should you compare between options?","back":"Cost per item.","mcqOptions":[{"text":"Cost per item.","correct":true,"explanation":"Dividing each pack’s cost by its number of items gives the cost of one item, providing a fair basis for comparing different pack sizes."},{"text":"Total pack cost.","correct":false,"explanation":"Total cost alone ignores how many items each option contains, so a smaller pack may appear misleadingly cheap. Cost per item should be compared."},{"text":"Number of items.","correct":false,"explanation":"The number of items shows pack size but not how much each item costs. Best value is determined by comparing cost per item."},{"text":"Size of pack.","correct":false,"explanation":"Pack size alone does not include price, so the largest pack is not necessarily best value. The appropriate comparison is cost per item."}]},{"id":"6c718660-9c34-4593-bf40-8bd3013f2f61","cardType":"basic","points":1,"front":"8 rolls cost £3.60. What is the cost per roll?","back":"45p.","mcqOptions":[{"text":"45p.","correct":true,"explanation":"Convert £3.60 to 360p, then divide by 8 rolls: $360 \\div 8 = 45$. Therefore, each roll costs 45p."},{"text":"450p.","correct":false,"explanation":"This is ten times too large because the pounds-to-pence conversion has been mishandled. Dividing 360p by 8 gives 45p per roll."},{"text":"0.45p.","correct":false,"explanation":"This divides £3.60 by 8 but then labels the result as pence without converting £0.45 correctly. £0.45 equals 45p."},{"text":"40p.","correct":false,"explanation":"This rounds or estimates instead of completing the exact division. Converting to 360p and dividing by 8 gives precisely 45p per roll."}]},{"id":"a48f5793-cb80-4ff0-8a34-19f8e9dd7c8c","cardType":"basic","points":1,"front":"Pack A is 45p per roll and Pack B is 47p per roll. Which is better value?","back":"Pack A.","mcqOptions":[{"text":"Pack A.","correct":true,"explanation":"Pack A costs 45p per roll compared with Pack B’s 47p. Since the lower unit price gives better value, Pack A is preferable."},{"text":"Pack B.","correct":false,"explanation":"Pack B costs 2p more for every roll, so choosing it confuses the higher unit price with better value. Pack A is cheaper per roll."},{"text":"Both packs.","correct":false,"explanation":"The packs would offer equal value only if their costs per roll matched. Since 45p is lower than 47p, Pack A offers better value."},{"text":"Neither pack.","correct":false,"explanation":"A comparison is possible because both prices are already given per roll. The lower figure is 45p, so Pack A is the better-value option."}]},{"id":"d0c45e4c-8e57-454c-bf2e-68bbc4ed99a1","cardType":"cloze","points":null,"front":"For potatoes, rice or flour, use cost per [ ].","back":"For potatoes, rice or flour, use cost per kg.","mcqOptions":[{"text":"kg","correct":true,"explanation":"Using cost per kg gives a convenient standard unit for comparing the value of products usually sold in relatively large masses, such as potatoes, rice and flour."},{"text":"100 g","correct":false,"explanation":"Cost per 100 g is normally used for smaller quantities such as cheese or sweets. For bulk foods such as potatoes, rice or flour, compare cost per kg."},{"text":"100 ml","correct":false,"explanation":"Millilitres measure volume and are suitable for liquids, not the mass of solid foods. Potatoes, rice and flour should be compared using cost per kg."},{"text":"litre","correct":false,"explanation":"Litres measure volume, so they are inappropriate for products sold by mass. Potatoes, rice and flour are most conveniently compared using cost per kg."}]},{"id":"36d775be-75df-4f38-9139-52420d2ebcec","cardType":"cloze","points":null,"front":"For coffee, cheese or sweets, use cost per [ ].","back":"For coffee, cheese or sweets, use cost per 100 g.","mcqOptions":[{"text":"100 g","correct":true,"explanation":"Coffee, cheese and sweets are often sold in smaller masses, so cost per 100 g gives convenient figures that can be compared directly."},{"text":"kg","correct":false,"explanation":"Although converting to cost per kg is mathematically possible, it gives unnecessarily large figures for these smaller products. The standard comparison here is cost per 100 g."},{"text":"100 ml","correct":false,"explanation":"Millilitres measure volume rather than mass, so this unit is generally used for liquids. Coffee, cheese and sweets should be compared using cost per 100 g."},{"text":"litre","correct":false,"explanation":"A litre is a unit of volume and is unsuitable for products priced by mass. Coffee, cheese and sweets are conveniently compared by cost per 100 g."}]},{"id":"14ee7eac-071c-43eb-9cd2-3b07fb073ee2","cardType":"cloze","points":null,"front":"For shampoo, drinks or washing liquid, use cost per [ ].","back":"For shampoo, drinks or washing liquid, use cost per 100 ml.","mcqOptions":[{"text":"100 ml","correct":true,"explanation":"Shampoo, drinks and washing liquid are sold by volume, and cost per 100 ml provides a convenient common unit for comparing differently sized containers."},{"text":"100 g","correct":false,"explanation":"Grams measure mass and are normally used for solid products. These liquids should be compared by volume, using their cost per 100 ml."},{"text":"kg","correct":false,"explanation":"Kilograms measure mass rather than liquid volume. Shampoo, drinks and washing liquid are most appropriately compared using their cost per 100 ml."},{"text":"100 litres","correct":false,"explanation":"Using 100 litres would produce impractically large prices because ordinary containers are much smaller. The convenient standard comparison is cost per 100 ml."}]},{"id":"19c2f79b-f7ee-4164-8e60-61fe92f7f3da","cardType":"basic","points":2,"front":"What is wrong with comparing one option per kg and another per 100 g?","back":"The amounts are not the same.","mcqOptions":[{"text":"The amounts are not the same.","correct":true,"explanation":"Prices can be compared fairly only when they refer to equal quantities. A kilogram is ten times 100 g, so one price must first be converted."},{"text":"The products are not the same.","correct":false,"explanation":"Best-buy calculations can compare different brands or products when appropriate. The actual problem is that the prices refer to unequal amounts: 1 kg and 100 g."},{"text":"The weights are too large.","correct":false,"explanation":"The size of the weights is not the issue; either comparison unit can be used. The amounts must simply be converted so that they are the same."},{"text":"The costs must be added together.","correct":false,"explanation":"Adding the costs does not create a fair comparison and instead gives a combined price. Convert both prices to the same amount, such as 100 g."}]},{"id":"2277133a-ccac-49b4-8097-2d995bd1782f","cardType":"basic","points":1,"front":"A 400 g jar costs £8.80. What is its cost per 100 g?","back":"£2.20 per 100 g.","mcqOptions":[{"text":"£2.20 per 100 g.","correct":true,"explanation":"There are four lots of 100 g in 400 g, so the price is divided by four: £8.80 ÷ 4 = £2.20 per 100 g."},{"text":"£4.40 per 100 g.","correct":false,"explanation":"Dividing by two only finds the cost per 200 g. Since 400 g contains four lots of 100 g, £8.80 must be divided by four, giving £2.20."},{"text":"£22.00 per 100 g.","correct":false,"explanation":"This results from mishandling the decimal or multiplying instead of reducing the price. Dividing £8.80 by the four 100 g portions gives £2.20 per 100 g."},{"text":"£35.20 per 100 g.","correct":false,"explanation":"Multiplying the price by four reverses the required scaling and produces the cost of 1600 g. Divide by four instead to obtain £2.20 per 100 g."}]},{"id":"0b81a8f8-874d-4c24-ba66-1c08fefcb8e6","cardType":"basic","points":1,"front":"Jar A is £2.38 per 100 g and Jar B is £2.20 per 100 g. Which is better value?","back":"Jar B.","mcqOptions":[{"text":"Jar B.","correct":true,"explanation":"Both prices are stated per 100 g, so they can be compared directly. Jar B costs £2.20 rather than £2.38 for the same amount."},{"text":"Jar A.","correct":false,"explanation":"Choosing the larger number confuses higher price with better value. For equal quantities, the lower cost is better, so Jar B is the better-value choice."},{"text":"Both jars.","correct":false,"explanation":"The jars are not equal in value because their costs per 100 g differ. Jar B is better value because £2.20 is less than £2.38."},{"text":"Neither jar.","correct":false,"explanation":"A comparison is possible because both prices use the same 100 g amount. Jar B is better value because it has the lower unit cost."}]},{"id":"3325bd10-8371-44de-b910-71ecdd91a554","cardType":"basic","points":1,"front":"When one amount is a simple multiple of another, what method can compare value?","back":"Scale to the same amount.","mcqOptions":[{"text":"Scale to the same amount.","correct":true,"explanation":"If one quantity is a simple multiple of the other, multiply or divide both its amount and price by the same number to create a fair comparison."},{"text":"Round to the same amount.","correct":false,"explanation":"Rounding changes values approximately and may distort a close best-buy comparison. The correct method is to scale both amount and price by the same factor."},{"text":"Add to the same amount.","correct":false,"explanation":"Adding an amount without changing the price proportionally breaks the relationship between quantity and cost. Scale the amount and price by the same number instead."},{"text":"Estimate to the same amount.","correct":false,"explanation":"Estimation is unnecessary when the quantities have a simple exact multiple and could give the wrong best buy. Scale exactly to the same amount instead."}]},{"id":"985ca165-1fff-491e-815f-b623493c9b9f","cardType":"cloze","points":null,"front":"When scaling, multiply or divide the amount and price by the [ ].","back":"When scaling, multiply or divide the amount and price by the same number.","mcqOptions":[{"text":"same number","correct":true,"explanation":"Multiplying or dividing both quantity and price by the same number preserves the proportional relationship, producing an equivalent price for a different package size."},{"text":"different number","correct":false,"explanation":"Using different factors changes the price-to-quantity relationship, so the scaled result is not equivalent. Both the amount and price must be changed by the same number."},{"text":"larger number","correct":false,"explanation":"The factor need not be larger; scaling down requires division. What matters is applying the same number to both the amount and its corresponding price."},{"text":"price difference","correct":false,"explanation":"The difference between prices is not a scale factor and would not preserve proportionality. Multiply or divide the amount and price by the same number."}]},{"id":"448369f0-9ba5-4781-a08c-d2922fd1f0e7","cardType":"basic","points":1,"front":"Bottle A gives 750 ml for £4.20. Three smaller bottles give 750 ml for £4.50. Which is better value?","back":"Bottle A.","mcqOptions":[{"text":"Bottle A.","correct":true,"explanation":"Both choices provide 750 ml, so compare their prices directly. Bottle A costs £4.20, which is 30p less than the £4.50 total for the smaller bottles."},{"text":"The three bottles.","correct":false,"explanation":"The three bottles give the same total volume but cost £4.50. Bottle A is better value because it provides 750 ml for only £4.20."},{"text":"Both options.","correct":false,"explanation":"Equal quantities do not mean equal value when the prices differ. Bottle A gives the same 750 ml for 30p less, so it is better value."},{"text":"Neither option.","correct":false,"explanation":"A direct comparison is possible because both choices contain 750 ml. Bottle A costs £4.20 rather than £4.50, making it the better-value option."}]},{"id":"b2f9584c-bbd1-4e26-8a78-1d4c3bc958cb","cardType":"cloze","points":null,"front":"With extra free, the [ ] changes, not the price.","back":"With extra free, the amount changes, not the price.","mcqOptions":[{"text":"amount","correct":true,"explanation":"An extra-free offer gives more of the product while the customer pays the original price. Therefore, the amount changes but the price does not."},{"text":"price","correct":false,"explanation":"Confusing extra free with a price reduction changes the wrong quantity. The amount increases in an extra-free offer, while the stated price remains unchanged."},{"text":"brand","correct":false,"explanation":"The promotion does not require the product’s brand to change. Extra free means the amount supplied increases while the customer pays the same price."},{"text":"cost","correct":false,"explanation":"Treating extra free as money off confuses two different promotions. The amount of product changes, whereas the cost paid for the pack stays the same."}]},{"id":"2c81d212-907a-4ef9-b634-071c265f86c9","cardType":"cloze","points":null,"front":"With % off, the [ ] changes, not the amount.","back":"With % off, the price changes, not the amount.","mcqOptions":[{"text":"price","correct":true,"explanation":"A percentage-off offer reduces how much the customer pays without changing the quantity supplied. Therefore, the price changes while the amount remains fixed."},{"text":"amount","correct":false,"explanation":"This confuses a percentage discount with an extra-free offer. With % off, the price is reduced, but the amount of product stays unchanged."},{"text":"quantity","correct":false,"explanation":"A % off promotion does not provide more or less of the product. It changes the price paid while leaving the quantity in the pack unchanged."},{"text":"packaging","correct":false,"explanation":"A price discount does not normally require different packaging. The feature changed by % off is the price, while the amount supplied remains the same."}]},{"id":"7cdcd61c-518c-4498-90f9-77f692f9234d","cardType":"basic","points":1,"front":"A pack has 200 tea bags plus 25% extra free. What is the new amount?","back":"250 tea bags.","mcqOptions":[{"text":"250 tea bags.","correct":true,"explanation":"Twenty-five per cent of 200 is 50, found using $0.25 \\times 200$. Adding the 50 extra tea bags gives a new total of 250."},{"text":"225 tea bags.","correct":false,"explanation":"This adds 25 tea bags instead of calculating 25% of 200. The extra amount is 50, so the correct new total is 250 tea bags."},{"text":"240 tea bags.","correct":false,"explanation":"This effectively adds 20% rather than 25%, producing only 40 extra tea bags. Since 25% of 200 is 50, the new amount is 250."},{"text":"275 tea bags.","correct":false,"explanation":"This overestimates the free amount as 75 tea bags. The correct extra amount is $200 \\div 4 = 50$, giving a total of 250 tea bags."}]},{"id":"d44a1a27-5d89-49ee-b2b3-cd471fb9b338","cardType":"basic","points":1,"front":"What is the price after 10% off £3.60?","back":"£3.24.","mcqOptions":[{"text":"£3.24.","correct":true,"explanation":"Ten per cent of £3.60 is £0.36. Subtracting the discount from the original price gives $£3.60 - £0.36 = £3.24$."},{"text":"£3.50.","correct":false,"explanation":"This subtracts 10p rather than 10% of the original price. The discount is 36p, so the reduced price is £3.24."},{"text":"£3.96.","correct":false,"explanation":"This adds 10% to the price instead of subtracting it. A 10% discount removes 36p from £3.60, giving £3.24."},{"text":"£3.60.","correct":false,"explanation":"This leaves the original price unchanged and does not apply the discount. Ten per cent is 36p, so the price after the reduction is £3.24."}]},{"id":"46c926bd-5ab0-4e03-8f44-6f1d375da8b1","cardType":"basic","points":1,"front":"Pack A is 1.44p per tea bag and Pack B is 1.62p per tea bag. Which is better value?","back":"Pack A.","mcqOptions":[{"text":"Pack A.","correct":true,"explanation":"The better-value pack has the lower cost per tea bag. Pack A costs 1.44p per bag, which is less than Pack B’s 1.62p."},{"text":"Pack B.","correct":false,"explanation":"Choosing the larger unit price reverses the comparison. Pack A is better value because each tea bag costs 1.44p rather than 1.62p."},{"text":"Both packs.","correct":false,"explanation":"The packs would be equal value only if their unit prices matched. Pack A has the lower unit price, so it provides better value than Pack B."},{"text":"Neither pack.","correct":false,"explanation":"The unit prices allow the packs to be compared directly. Since 1.44p is lower than 1.62p, Pack A is the better-value choice."}]}]}],"examCountdown":null,"heading":"Best Buy Questions","title":"Best Buy Questions Flashcards","topbar":{"backHref":"/igcse/maths/oxford-aqa/flashcards"},"topicSidebar":"$L38"}]}],"topicId":"34366f7e-d08d-4438-be3f-b3c58d48f0dc","walled":"$L39"}],"$L3a","$L3b"]