age question asks for the original amount, before the percentage change.","points":null},{"id":"acce31a6-e816-49d5-943c-26c5e5ca94ef","cardType":"cloze","front":"An increase makes the final amount [ ] of the original; a decrease makes it [ ].","back":"An increase makes the final amount more than 100% of the original; a decrease makes it less than 100%.","points":null},{"id":"15f0534d-b0ef-4e21-8258-256ba8a9e936","cardType":"basic","front":"After an increase of 6%, what percentage of the original is the final amount?","back":"106%.","points":1},{"id":"b0b20448-4c88-4317-b502-fa3010f680b6","cardType":"basic","front":"After a decrease of 25%, what percentage of the original is the final amount?","back":"75%.","points":1},{"id":"244dcc05-a786-4031-810c-8d0898677791","cardType":"basic","front":"What multiplier applies an increase by $p\\%$?","back":"Increase multiplier: $1 + \\frac{p}{100}$.","points":1},{"id":"720ec769-0b8d-4e6e-af07-06ad2aeffa16","cardType":"basic","front":"What multiplier applies a decrease by $p\\%$?","back":"Decrease multiplier: $1 - \\frac{p}{100}$.","points":1},{"id":"5a15f326-c072-4014-98a5-135bd1c311a7","cardType":"cloze","front":"An increase multiplier is [ ]; a decrease multiplier is [ ].","back":"An increase multiplier is bigger than 1; a decrease multiplier is smaller than 1.","points":null},{"id":"0db2d928-1c5d-4195-ae89-a8370aa19bca","cardType":"basic","front":"What multiplier represents an 8% increase?","back":"1.08.","points":1},{"id":"9cf80d02-c648-436c-b725-d1a6e41ac0e3","cardType":"basic","front":"What multiplier represents a 30% reduction?","back":"0.7.","points":1},{"id":"44466553-196c-4490-a85a-361262d0d7e2","cardType":"basic","front":"For a normal percentage change, how are original, multiplier and final linked?","back":"Forward link: $\\text{original} \\times \\text{multiplier} = \\text{final}$.","points":1},{"id":"1e303f2f-beb4-4a52-8acb-ee77b6bda3ae","cardType":"cloze","front":"For a known final amount in reverse percentages: [ ] = [ ].","back":"For a known final amount in reverse percentages: original = final ÷ multiplier.","points":null},{"id":"6b4ffad4-0d69-4262-b6d8-0772f5eae029","cardType":"basic","front":"Why should you not subtract the percentage from the final amount in reverse percentages?","back":"The percentage is based on the original, not the final.","points":2},{"id":"7ab92187-8869-4dbf-878c-5dde4ccf9fbb","cardType":"cloze","front":"If a price is reduced by 20%, the sale price is [ ] of the original, not [ ].","back":"If a price is reduced by 20%, the sale price is 80% of the original, not 20%.","points":null},{"id":"c4f2a44b-60db-4eaa-9b8b-7810fd87bf69","cardType":"basic","front":"When should you use 0.2 for a 20% sale reduction?","back":"Only when given the amount reduced.","points":1},{"id":"7f15c85b-0e91-45cd-b7ba-ae2089dbca9c","cardType":"basic","front":"If given the amount of change, how do you find the original amount?","back":"Amount of change ÷ percentage change as a decimal.","points":1},{"id":"c87de36e-3aa7-43f6-b6fa-b5671a1735b1","cardType":"cloze","front":"If a bill increases by 5% and the increase is £62, £62 represents [ ].","back":"If a bill increases by 5% and the increase is £62, £62 represents 5% of the original.","points":nul

Reverse Percentages Flashcards

Reverse Percentages Flashcards

Reverse Percentages Flashcards

Reverse Percentages Flashcards