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24:[["$","$L33",null,{"feature":"flashcards"}],"$L34",["$","$L35",null,{"href":"/gcse/maths/edexcel/grade-2-2-4-fractions-of-an-amount/flashcards","label":"Fractions of an Amount","subjectCode":"gcse_maths","surface":"flashcards"}],["$","$L36",null,{"runner":["$","div",null,{"className":"min-h-0 flex-1 overflow-hidden bg-background","children":["$","$L37",null,{"decks":[{"id":"6146fcf4-6187-4231-969a-5a890327deda","title":"Fractions of an Amount Flashcards","topicId":"45988751-a004-4032-a561-dda1e2cc321e","topicSlug":"grade-2-2-4-fractions-of-an-amount","cards":[{"id":"54c60cf2-5675-45eb-95d7-f5828dfeb566","cardType":"basic","points":1,"front":"In $\\frac{3}{5}$ of 100, what is the amount?","back":"100","mcqOptions":[{"text":"100","correct":true,"explanation":"The amount is the original whole being divided into fractional parts. Here, 100 is the amount from which $\\frac{3}{5}$ is being found."},{"text":"60","correct":false,"explanation":"60 is the result of calculating $\\frac{3}{5}$ of 100, not the original amount. The amount stated in the question is 100."},{"text":"20","correct":false,"explanation":"20 is one fifth of 100, found by dividing by the denominator. The question asks for the original amount, which is 100."},{"text":"5","correct":false,"explanation":"5 is the denominator, which shows the number of equal parts. It is not the amount; the original amount given is 100."}]},{"id":"6983d05c-879b-496a-83a3-2d7022a7538f","cardType":"cloze","points":null,"front":"The denominator tells you how many [ ] to split the amount into.","back":"The denominator tells you how many equal parts to split the amount into.","mcqOptions":[{"text":"equal parts","correct":true,"explanation":"A denominator shows how many equal parts make up the whole. For example, the denominator 5 means splitting the amount into five equal parts."},{"text":"unequal parts","correct":false,"explanation":"Fractions divide a whole into equal, not unequal, parts. The denominator specifies the number of equal parts into which the amount is split."},{"text":"whole amounts","correct":false,"explanation":"The denominator does not count separate whole amounts. It tells you how many equal parts the single whole amount must be divided into."},{"text":"decimal places","correct":false,"explanation":"Decimal places describe the positions of digits after a decimal point. A fraction’s denominator instead gives the number of equal parts in the whole."}]},{"id":"3ac95c0f-98fd-4180-bcfc-deb21f6b6ffc","cardType":"cloze","points":null,"front":"The numerator tells you how many [ ] to take.","back":"The numerator tells you how many equal parts to take.","mcqOptions":[{"text":"equal parts","correct":true,"explanation":"The numerator counts how many of the equal parts are taken. In $\\frac{3}{5}$, the numerator 3 means taking three equal parts."},{"text":"total parts","correct":false,"explanation":"The total number of equal parts is given by the denominator, not the numerator. The numerator tells you how many equal parts to take."},{"text":"remaining parts","correct":false,"explanation":"The numerator counts the equal parts being taken, not those left behind. For example, 3 in $\\frac{3}{5}$ means take three equal parts."},{"text":"unequal parts","correct":false,"explanation":"Fractions are based on equal parts of a whole. The numerator tells you how many equal parts to take after the amount has been divided."}]},{"id":"291ac1c8-6011-4fee-b887-d580a854c477","cardType":"basic","points":1,"front":"To find $\\frac{a}{b}$ of an amount, what do you do with the denominator?","back":"Divide the amount by it first.","mcqOptions":[{"text":"Divide the amount by it first.","correct":true,"explanation":"Dividing the amount by the denominator finds one equal part. You can then multiply that result by the numerator to take the required number of parts."},{"text":"Multiply the amount by it first.","correct":false,"explanation":"Multiplying by the denominator makes the amount larger rather than splitting it into equal parts. You must divide the amount by the denominator first."},{"text":"Divide the numerator by it first.","correct":false,"explanation":"Dividing the numerator by the denominator only converts the fraction into another form. To find a fraction of an amount, divide the amount by the denominator first."},{"text":"Subtract it from the amount first.","correct":false,"explanation":"Subtracting the denominator does not split the amount into equal parts. The correct first step is to divide the amount by the denominator."}]},{"id":"2740497d-f177-4ef3-8b12-1421d56c6a4d","cardType":"cloze","points":null,"front":"To find a fraction of an amount: [ ] first, then [ ].","back":"To find a fraction of an amount: divide by the denominator first, then multiply by the numerator.","mcqOptions":[{"text":"To find a fraction of an amount: divide by the denominator first, then multiply by the numerator.","correct":true,"explanation":"Dividing by the denominator finds one equal part, and multiplying by the numerator selects the required number of those parts. This gives the fraction of the amount."},{"text":"To find a fraction of an amount: multiply by the denominator first, then divide by the numerator.","correct":false,"explanation":"This reverses both operations and generally increases the amount incorrectly. Divide by the denominator first to find one part, then multiply by the numerator."},{"text":"To find a fraction of an amount: multiply by the numerator first, then divide by the denominator.","correct":false,"explanation":"Although this order can produce the same value mathematically, it does not follow the taught denominator-first method stated here. Divide by the denominator first, then multiply by the numerator."},{"text":"To find a fraction of an amount: divide by the numerator first, then multiply by the denominator.","correct":false,"explanation":"This confuses the roles of the two fraction numbers and effectively uses the reciprocal. Divide by the denominator first, then multiply by the numerator."}]},{"id":"0f45d3e1-214f-4765-9fdb-bcf6dc3070dd","cardType":"basic","points":1,"front":"Work out $\\frac{1}{6}$ of 360.","back":"60","mcqOptions":[{"text":"60","correct":true,"explanation":"A sixth means dividing the amount into six equal parts. Calculating $360 \\div 6$ gives 60, so $\\frac{1}{6}$ of 360 is 60."},{"text":"6","correct":false,"explanation":"6 is the denominator, not the value of one sixth. Dividing the amount by the denominator gives $360 \\div 6 = 60$."},{"text":"2160","correct":false,"explanation":"This comes from multiplying 360 by 6 instead of dividing. Finding one sixth requires $360 \\div 6$, which gives the correct answer of 60."},{"text":"354","correct":false,"explanation":"This comes from subtracting 6 from 360, but a denominator indicates division into equal parts. The correct calculation is $360 \\div 6 = 60$."}]},{"id":"ecf6f3ed-581c-454d-b5a0-a03803b71bf3","cardType":"basic","points":1,"front":"For a unit fraction of an amount, what operation is needed?","back":"Divide by the denominator.","mcqOptions":[{"text":"Divide by the denominator.","correct":true,"explanation":"A unit fraction has a numerator of 1, so only one equal part is needed. Dividing the amount by the denominator finds that single part."},{"text":"Multiply by the denominator.","correct":false,"explanation":"Multiplying by the denominator increases the amount rather than finding one equal part. For a unit fraction, divide the amount by the denominator."},{"text":"Divide by the numerator.","correct":false,"explanation":"The numerator of a unit fraction is always 1, so dividing by it leaves the amount unchanged. Instead, divide by the denominator."},{"text":"Multiply by the numerator.","correct":false,"explanation":"Multiplying by the numerator 1 leaves the original amount unchanged. To find a unit fraction of it, divide by the denominator."}]},{"id":"a5e7d659-8aeb-479c-86a4-e4a73ecd8f10","cardType":"basic","points":1,"front":"If $\\frac{1}{6}$ of 360 gives an answer greater than 360, what should you check?","back":"Check your division.","mcqOptions":[{"text":"Check your division.","correct":true,"explanation":"A positive fraction less than 1 must produce a result smaller than the original positive amount. An answer above 360 suggests that the required division was incorrect."},{"text":"Check your multiplication.","correct":false,"explanation":"For the unit fraction $\\frac{1}{6}$, the essential operation is dividing 360 by 6. An answer greater than 360 therefore points to a division error."},{"text":"Check your subtraction.","correct":false,"explanation":"No subtraction is needed to find one sixth of an amount. The calculation should be $360 \\div 6$, so the division must be checked."},{"text":"Check your addition.","correct":false,"explanation":"Addition is not used when finding a unit fraction of an amount. One sixth is found by dividing by 6, so check the division."}]},{"id":"e7140a32-8c53-4e4c-b540-87cdddf59ffb","cardType":"cloze","points":null,"front":"A non-unit fraction has a numerator [ ].","back":"A non-unit fraction has a numerator bigger than 1.","mcqOptions":[{"text":"bigger than 1","correct":true,"explanation":"A unit fraction has numerator 1, so a non-unit fraction has a numerator greater than 1, such as $\\frac{2}{5}$ or $\\frac{3}{8}$."},{"text":"equal to 1","correct":false,"explanation":"A numerator equal to 1 defines a unit fraction, not a non-unit fraction. A non-unit fraction has a numerator bigger than 1."},{"text":"smaller than 1","correct":false,"explanation":"In GCSE fractions, the numerator is a whole number and cannot be smaller than 1. A non-unit fraction specifically has a numerator bigger than 1."},{"text":"equal to the denominator","correct":false,"explanation":"Equal numerator and denominator make a fraction equivalent to one, but this is not the definition of a non-unit fraction. Its numerator is bigger than 1."}]},{"id":"4c08931a-bd52-422b-a0d8-3dece31bb65a","cardType":"basic","points":2,"front":"Work out $\\frac{5}{8}$ of 96.","back":"60","mcqOptions":[{"text":"60","correct":true,"explanation":"Dividing 96 by 8 gives 12 for one eighth. Multiplying 12 by the numerator 5 gives $12 \\times 5 = 60$."},{"text":"15","correct":false,"explanation":"Dividing 96 by 8 correctly finds one eighth, but dividing again loses the numerator’s role. Multiply 12 by 5 to obtain 60."},{"text":"38.4","correct":false,"explanation":"This comes from dividing 96 by 5 and then multiplying by 2, which reverses or alters the fraction. For $\\frac{5}{8}$, divide by 8 and multiply by 5 to get 60."},{"text":"76.8","correct":false,"explanation":"This results from using $\\frac{8}{10}$ rather than $\\frac{5}{8}$. Divide 96 into 8 equal parts, then take 5 of them, giving 60."}]},{"id":"323f60ef-141a-4fdb-aa4a-a6244ef777d3","cardType":"basic","points":2,"front":"Why do you divide by 4 first when finding $\\frac{3}{4}$ of an amount?","back":"The denominator splits the amount into 4 equal parts.","mcqOptions":[{"text":"The denominator splits the amount into 4 equal parts.","correct":true,"explanation":"The denominator tells you how many equal parts make the whole. Therefore, dividing by 4 finds one quarter before three of those parts are taken."},{"text":"The numerator splits the amount into 4 equal parts.","correct":false,"explanation":"This confuses the roles of numerator and denominator. The denominator 4 splits the amount into 4 equal parts, while the numerator 3 tells you how many parts to take."},{"text":"The denominator splits the amount into 3 equal parts.","correct":false,"explanation":"This mistakenly uses the numerator as the number of equal divisions. The denominator is 4, so the amount must first be split into 4 equal parts."},{"text":"The denominator multiplies the amount by 4 equal parts.","correct":false,"explanation":"The denominator indicates division, not multiplication. Dividing by 4 finds one equal part, after which multiplying by the numerator 3 finds three quarters."}]},{"id":"418303f4-14ee-46eb-b9c8-f6eb638ed220","cardType":"basic","points":1,"front":"If $\\frac{2}{5}$ of $n$ is 26, what does 26 represent?","back":"2 equal parts","mcqOptions":[{"text":"2 equal parts","correct":true,"explanation":"The numerator 2 shows that 26 is the value of 2 equal parts. The denominator 5 shows that the complete amount contains 5 such parts."},{"text":"5 equal parts","correct":false,"explanation":"This confuses the denominator with the number of parts represented by 26. The denominator gives 5 parts in the whole, while 26 represents the numerator’s 2 equal parts."},{"text":"1 equal part","correct":false,"explanation":"The value of one part is found only after dividing 26 by the numerator 2. Therefore, 26 represents 2 equal parts, not 1 equal part."},{"text":"the whole amount","correct":false,"explanation":"The equation says 26 is only $\\frac{2}{5}$ of the whole, rather than the whole itself. It therefore represents 2 of the 5 equal parts."}]},{"id":"a6d7ab68-bdc6-4518-8b25-1ddb4300bce5","cardType":"cloze","points":null,"front":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by [ ], then multiply by [ ].","back":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by 2, then multiply by 5.","mcqOptions":[{"text":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by 2, then multiply by 5.","correct":true,"explanation":"The 26 represents 2 equal parts, so dividing by 2 finds one part. The whole contains 5 parts, so multiplying by 5 finds the number."},{"text":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by 5, then multiply by 2.","correct":false,"explanation":"This reverses the numerator and denominator. Since 26 represents 2 parts, divide by 2 to find one part, then multiply by 5 to find the whole."},{"text":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by 2, then multiply by 2.","correct":false,"explanation":"Dividing by 2 correctly finds one equal part, but multiplying by 2 simply returns to 26. Multiply by 5 because the whole contains 5 equal parts."},{"text":"If $\\frac{2}{5}$ of a number is 26, first divide 26 by 5, then multiply by 5.","correct":false,"explanation":"Dividing and multiplying by 5 cancel each other and leave 26 unchanged. The 26 represents 2 parts, so divide by 2 and then multiply by 5."}]},{"id":"bd046fb9-95dd-4736-b3d1-e0a26a165f62","cardType":"basic","points":2,"front":"If $\\frac{2}{5}$ of $n$ is 26, find $n$.","back":"65","mcqOptions":[{"text":"65","correct":true,"explanation":"Since 26 represents 2 equal parts, one part is $26 \\div 2 = 13$. The whole has 5 parts, so $13 \\times 5 = 65$."},{"text":"10.4","correct":false,"explanation":"This calculates $\\frac{2}{5}$ of 26 instead of reversing the fraction calculation. Divide 26 by 2 and multiply by 5 to obtain the whole, 65."},{"text":"52","correct":false,"explanation":"This multiplies 26 by the numerator 2 and ignores the denominator’s role. Instead, find one part using $26 \\div 2$, then multiply by 5 to get 65."},{"text":"130","correct":false,"explanation":"This treats 26 as one fifth rather than two fifths, making the answer twice as large. First divide 26 by 2, then multiply by 5 to get 65."}]},{"id":"b3182d4c-f26b-42f9-a0c2-14f7f7d11b05","cardType":"basic","points":1,"front":"If $\\frac{3}{5}$ of a number is 21, what is the first calculation?","back":"$$21 \\div 3 = \\boldsymbol{7}$","mcqOptions":[{"text":"$$21 \\div 3 = \\boldsymbol{7}$","correct":true,"explanation":"The 21 represents 3 equal parts because the numerator is 3. Dividing by 3 finds the value of one part, which is 7."},{"text":"$$21 \\div 5 = \\boldsymbol{4.2}$","correct":false,"explanation":"This divides by the denominator, although 21 represents the numerator’s 3 parts. The first calculation should divide 21 by 3, giving 7 for one part."},{"text":"$$21 \\times 3 = \\boldsymbol{63}$","correct":false,"explanation":"Multiplying by 3 makes the represented three parts larger instead of finding one part. Divide 21 by the numerator 3 first, giving 7."},{"text":"$$21 \\div 3 = \\boldsymbol{6}$","correct":false,"explanation":"The operation is appropriate, but the arithmetic is incorrect because $21 \\div 3 = 7$. This finds the value of one of the three equal parts."}]},{"id":"3f6ace71-f3f9-449f-a9ed-508d33175a31","cardType":"basic","points":1,"front":"What fraction is 20% equal to?","back":"$$\\frac{1}{5}$","mcqOptions":[{"text":"$$\\frac{1}{5}$","correct":true,"explanation":"Percent means out of 100, so $20\\% = \\frac{20}{100}$. Dividing the numerator and denominator by 20 simplifies this to $\\frac{1}{5}$."},{"text":"$$\\frac{1}{20}$","correct":false,"explanation":"This mistakenly turns the percentage number into a denominator. Since $20\\% = \\frac{20}{100}$, simplifying by dividing both values by 20 gives $\\frac{1}{5}$."},{"text":"$$\\frac{1}{4}$","correct":false,"explanation":"One quarter equals $25\\%$, not $20\\%$. Writing $20\\%$ as $\\frac{20}{100}$ and simplifying gives the correct fraction $\\frac{1}{5}$."},{"text":"$$\\frac{1}{2}$","correct":false,"explanation":"One half represents $50\\%$, so it is much larger than $20\\%$. The fraction $\\frac{20}{100}$ simplifies to $\\frac{1}{5}$."}]},{"id":"7dd92f4a-2412-4860-ac79-98941cd473e9","cardType":"basic","points":1,"front":"Work out 20% of 85.","back":"17","mcqOptions":[{"text":"17","correct":true,"explanation":"Finding 10% of 85 gives 8.5, so 20% is twice this amount: $8.5 \\times 2 = 17$."},{"text":"8.5","correct":false,"explanation":"This is only 10% of 85. Since 20% is twice 10%, the correct calculation is $8.5 \\times 2 = 17$."},{"text":"34","correct":false,"explanation":"This doubles 20% to 40%, producing an answer twice as large as required. Using $0.2 \\times 85$ gives the correct answer, 17."},{"text":"65","correct":false,"explanation":"This subtracts 20 as a number rather than finding 20% of 85. The percentage amount is $0.2 \\times 85 = 17$."}]},{"id":"a2ce85d9-8955-4301-b433-92f3ebb9e579","cardType":"basic","points":2,"front":"Work out $\\frac{3}{4}$ of 40.","back":"30","mcqOptions":[{"text":"30","correct":true,"explanation":"One quarter of 40 is 10, and three quarters are $3 \\times 10 = 30$. Therefore, $\\frac{3}{4}$ of 40 is 30."},{"text":"10","correct":false,"explanation":"This finds only one quarter of 40 and ignores the numerator 3. Multiplying the quarter, 10, by 3 gives the correct answer, 30."},{"text":"37","correct":false,"explanation":"This subtracts the numerator 3 from 40 instead of applying the fraction. Divide 40 by 4, then multiply by 3 to get 30."},{"text":"120","correct":false,"explanation":"This multiplies 40 by the numerator 3 but does not divide by the denominator 4. The complete calculation gives $40 \\div 4 \\times 3 = 30$."}]},{"id":"e89e2137-9196-4a75-a145-925dc03e1fc6","cardType":"cloze","points":null,"front":"In a difference question, subtract the [ ] value from the [ ] value.","back":"In a difference question, subtract the smaller value from the larger value.","mcqOptions":[{"text":"In a difference question, subtract the smaller value from the larger value.","correct":true,"explanation":"A difference measures the positive gap between two values. Subtracting the smaller value from the larger value gives that gap without producing a negative answer."},{"text":"In a difference question, subtract the larger value from the smaller value.","correct":false,"explanation":"This reverses the subtraction and produces a negative result. For a positive difference, subtract the smaller value from the larger value."},{"text":"In a difference question, subtract the smaller value from the smaller value.","correct":false,"explanation":"Subtracting a value from itself always gives zero, not the gap between two different values. The smaller value must be subtracted from the larger value."},{"text":"In a difference question, subtract the larger value from the larger value.","correct":false,"explanation":"Using the larger value twice gives zero and ignores the smaller value. The difference is found by subtracting the smaller value from the larger value."}]},{"id":"51a7c096-8e50-4948-9225-12e1499bb515","cardType":"basic","points":3,"front":"Find the difference between 20% of 85 and $\\frac{3}{4}$ of 40.","back":"13","mcqOptions":[{"text":"13","correct":true,"explanation":"The two amounts are 17 and 30. Their difference is found by subtracting the smaller from the larger: $30 - 17 = 13$."},{"text":"47","correct":false,"explanation":"This adds the two amounts instead of finding their difference. Since the amounts are 17 and 30, the required calculation is $30 - 17 = 13$."},{"text":"-13","correct":false,"explanation":"This comes from subtracting in the wrong order, $17 - 30$. A difference is the positive gap, so calculate $30 - 17 = 13$."},{"text":"17","correct":false,"explanation":"This gives only 20% of 85 and does not compare it with $\\frac{3}{4}$ of 40. The difference between 17 and 30 is 13."}]},{"id":"8cf45d8f-c45a-4750-940f-69441aaa9110","cardType":"basic","points":1,"front":"A £35 game is reduced by $\\frac{1}{5}$. What is the discount?","back":"£7","mcqOptions":[{"text":"£7","correct":true,"explanation":"The discount is one fifth of £35. Dividing £35 by 5 gives £7, so £7 is taken off the original price."},{"text":"£28","correct":false,"explanation":"This is the sale price after the discount, not the discount itself. One fifth of £35 is £7, so the discount is £7."},{"text":"£5","correct":false,"explanation":"This incorrectly treats the denominator 5 as the discount amount. One fifth means dividing the original £35 by 5, which gives a £7 discount."},{"text":"£30","correct":false,"explanation":"This subtracts the denominator 5 from £35 rather than finding one fifth. The discount is $£35 \\div 5 = £7$."}]},{"id":"12ae5d5a-4596-44f1-bec2-88d228b08ce0","cardType":"basic","points":2,"front":"A £35 game is reduced by $\\frac{1}{5}$. What is the sale price?","back":"£28","mcqOptions":[{"text":"£28","correct":true,"explanation":"One fifth of £35 is £7, which is the discount. Subtracting it from the original price gives the sale price: $£35 - £7 = £28$."},{"text":"£7","correct":false,"explanation":"This is the discount rather than the price paid. After finding the £7 discount, subtract it from £35 to obtain the £28 sale price."},{"text":"£30","correct":false,"explanation":"This subtracts the denominator 5 as though it were £5. The actual discount is $£35 \\div 5 = £7$, giving a sale price of £28."},{"text":"£42","correct":false,"explanation":"This adds the £7 discount to the original price instead of subtracting it. A reduction lowers the price, so $£35 - £7 = £28$."}]},{"id":"557f064e-cbe9-46fb-9709-0974fa5faf77","cardType":"cloze","points":null,"front":"In a sale, reduced by or off means the discount is [ ] from the original price.","back":"In a sale, reduced by or off means the discount is taken away from the original price.","mcqOptions":[{"text":"taken away","correct":true,"explanation":"A discount reduces the amount paid, so it is subtracted from the original price. The remaining amount after it is taken away is the sale price."},{"text":"carried over","correct":false,"explanation":"Carrying the discount over would not reduce the current price. A discount must be taken away from the original price to calculate the lower sale price."},{"text":"left unchanged","correct":false,"explanation":"Leaving the discount unchanged from the original price does not describe a reduction. The discount is taken away from the original price to find the sale price."},{"text":"taken twice","correct":false,"explanation":"Subtracting the discount twice would make the sale price too low. The calculated discount is taken away from the original price exactly once."}]},{"id":"8cf7f582-c02d-45bc-bf14-fe0bdfd64c06","cardType":"basic","points":1,"front":"If a question says $\\frac{3}{7}$ of the children, which group must you find first?","back":"The children","mcqOptions":[{"text":"The children","correct":true,"explanation":"The phrase “of the children” identifies children as the whole group to which the fraction applies. Find the number of children before calculating three sevenths."},{"text":"The adults","correct":false,"explanation":"Adults are not the group named after “of”, so their total is irrelevant to this fraction. The fraction applies specifically to the children."},{"text":"The whole group","correct":false,"explanation":"Using everyone would incorrectly include people outside the named subgroup. Because the question says “of the children”, first find the total number of children."},{"text":"The boys","correct":false,"explanation":"Boys may form only part of the children, so using them as the starting group changes the fraction. First find all the children."}]},{"id":"844447b9-9d3b-487d-a6d0-e28f73bdca14","cardType":"basic","points":2,"front":"There are 300 people, 124 adults and 92 teenagers. How many are children?","back":"84","mcqOptions":[{"text":"84","correct":true,"explanation":"Subtract the adults and teenagers from the total: $300 - 124 - 92 = 84$. Therefore, 84 people are children."},{"text":"92","correct":false,"explanation":"This uses the number of teenagers instead of finding the remainder. Subtracting both known groups gives $300 - 124 - 92 = 84$, so there are 84 children."},{"text":"104","correct":false,"explanation":"This can result from subtracting the two given groups incorrectly. The total remaining after adults and teenagers is $300 - (124 + 92) = 84$, not 104."},{"text":"184","correct":false,"explanation":"This treats only part of the given information as people to remove. Both adults and teenagers must be subtracted: $300 - 124 - 92 = 84$ children."}]},{"id":"59cfa932-3914-433a-822b-fbe807bf0953","cardType":"basic","points":3,"front":"There are 84 children and $\\frac{3}{7}$ are boys. How many are girls?","back":"48","mcqOptions":[{"text":"48","correct":true,"explanation":"If $rac{3}{7}$ are boys, the remaining $rac{4}{7}$ are girls. Calculate $rac{4}{7} \\times 84 = 48$, so there are 48 girls."},{"text":"36","correct":false,"explanation":"This calculates the number of boys, since $rac{3}{7} \\times 84 = 36$. Girls make up the remaining $rac{4}{7}$, giving $rac{4}{7} \\times 84 = 48$."},{"text":"56","correct":false,"explanation":"This uses an incorrect fraction of the children for girls. Since $rac{3}{7}$ are boys, girls are $rac{4}{7}$, and $rac{4}{7} \\times 84 = 48$."},{"text":"42","correct":false,"explanation":"This halves the total instead of using the complementary fraction. Girls are $rac{4}{7}$ of 84, so $rac{4}{7} \\times 84 = 48$, not 42."}]}]}],"examCountdown":{"examDate":"2027-05-14","paperLabel":"Paper 1"},"heading":"Fractions of an Amount","title":"Fractions of an Amount Flashcards","topbar":{"backHref":"/gcse/maths/edexcel/flashcards"},"topicSidebar":"$L38"}]}],"topicId":"45988751-a004-4032-a561-dda1e2cc321e","walled":"$L39"}],"$L3a","$L3b"]