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Here, cm is the standard abbreviation for centimetres, so the measurement is expressed in centimetres."},{"text":"mm","correct":false,"explanation":"Millimetres are abbreviated to mm, but that abbreviation does not appear in the measurement. The unit shown after 30 is cm, meaning centimetres."},{"text":"m","correct":false,"explanation":"Metres are abbreviated to m, without the prefix c. The measurement places cm after the number, so its unit is centimetres."},{"text":"km","correct":false,"explanation":"Kilometres are abbreviated to km and are much larger units of length. The abbreviation attached to 30 is cm, so the unit is centimetres."}]},{"id":"1b808ccb-a6e0-940e-06f5-87b3c448d74c","cardType":"cloze","points":null,"front":"A measurement has two parts: a [ ] and a [ ].","back":"A measurement has two parts: a number and a unit.","mcqOptions":[{"text":"A measurement has two parts: a number and a unit.","correct":true,"explanation":"The number gives the size or amount being measured, while the unit states the agreed scale used, such as centimetres, grams or litres."},{"text":"A measurement has two parts: a numerator and a denominator.","correct":false,"explanation":"Numerators and denominators are parts of a fraction, not the general components of a measurement. A measurement consists of a number and a unit."},{"text":"A measurement has two parts: a length and a symbol.","correct":false,"explanation":"Length is only one type of quantity, and a unit need not be treated merely as a symbol. Every measurement requires a number and a unit."},{"text":"A measurement has two parts: a number and a conversion.","correct":false,"explanation":"A conversion changes a measurement from one unit to another, so it is not part of every measurement. The two essential parts are a number and a unit."}]},{"id":"461de28d-5c17-4455-cb30-c315288ea42a","cardType":"basic","points":1,"front":"What does length measure?","back":"Distance or how long something is.","mcqOptions":[{"text":"Distance or how long something is.","correct":true,"explanation":"Length describes the distance from one point to another or the extent of an object, such as its height, width or how long it is."},{"text":"Mass or how heavy something is.","correct":false,"explanation":"This confuses length with mass, which describes the amount of matter in an object. Length measures distance or how long something is."},{"text":"Capacity or how much liquid fits.","correct":false,"explanation":"This confuses length with capacity, which describes how much liquid a container can hold. Length instead measures distance or how long something is."},{"text":"Time or how long an event lasts.","correct":false,"explanation":"The phrase “how long” can refer to duration, making time tempting here. For length, it refers to distance or the physical extent of an object."}]},{"id":"11bf3347-0ebb-104f-1709-fd5f4148786f","cardType":"basic","points":1,"front":"What does capacity measure?","back":"How much liquid something can hold.","mcqOptions":[{"text":"How much liquid something can hold.","correct":true,"explanation":"Capacity describes the maximum amount of liquid a container can hold. It is commonly measured using units such as millilitres and litres."},{"text":"How much mass something can hold.","correct":false,"explanation":"This confuses capacity with load or mass, which is measured in grams and kilograms. Capacity concerns the amount of liquid a container can hold."},{"text":"How much distance something can cover.","correct":false,"explanation":"Distance is a measure of length and is expressed in units such as metres or kilometres. Capacity measures how much liquid something can hold."},{"text":"How much time something can record.","correct":false,"explanation":"Time measures duration and is expressed in units such as seconds or hours. Capacity instead measures the amount of liquid a container can hold."}]},{"id":"a57b97e2-4332-72db-995b-ebe7bd2d6317","cardType":"basic","points":1,"front":"How many metres are in 1 kilometre?","back":"1000 m","mcqOptions":[{"text":"1000 m","correct":true,"explanation":"The prefix kilo- means one thousand, so one kilometre is equal to one thousand metres. Therefore, converting kilometres to metres requires multiplying by 1000."},{"text":"100 m","correct":false,"explanation":"This uses a conversion factor of 100, which applies to metres and centimetres in the opposite unit relationship. One kilometre contains 1000 metres."},{"text":"10 m","correct":false,"explanation":"This uses the factor connecting centimetres and millimetres rather than kilometres and metres. The prefix kilo- means 1000, so one kilometre is 1000 metres."},{"text":"10,000 m","correct":false,"explanation":"This adds an extra factor of 10, often from confusing metres with a smaller unit. One kilometre equals 1000 metres, not 10,000 metres."}]},{"id":"3cc19a47-6d6a-a7e0-9337-f064897ae118","cardType":"basic","points":1,"front":"How many centimetres are in 1 metre?","back":"100 cm","mcqOptions":[{"text":"100 cm","correct":true,"explanation":"The prefix centi- means one hundredth of a metre. It therefore takes 100 centimetres, each one hundredth of a metre, to make 1 metre."},{"text":"10 cm","correct":false,"explanation":"This confuses the centimetre relationship with the 10 millimetres in a centimetre conversion. One metre is divided into 100 centimetres."},{"text":"1000 cm","correct":false,"explanation":"This incorrectly uses the factor for metres in a kilometre or grams in a kilogram. There are 100 centimetres in one metre."},{"text":"1 cm","correct":false,"explanation":"This treats metres and centimetres as equal-sized units. A centimetre is one hundredth of a metre, so one metre contains 100 centimetres."}]},{"id":"d9572e7a-a1b7-ff0d-4722-bd38342765e4","cardType":"basic","points":1,"front":"How many millimetres are in 1 centimetre?","back":"10 mm","mcqOptions":[{"text":"10 mm","correct":true,"explanation":"A centimetre is divided into 10 equal millimetres. Therefore, converting a length from centimetres to millimetres requires multiplying the value by 10."},{"text":"100 mm","correct":false,"explanation":"This uses the factor relating metres to centimetres rather than centimetres to millimetres. One centimetre contains 10 millimetres."},{"text":"1000 mm","correct":false,"explanation":"This uses the number of millimetres in a metre, not in a centimetre. One centimetre is much smaller and contains only 10 millimetres."},{"text":"1 mm","correct":false,"explanation":"This treats centimetres and millimetres as equal-sized units. A millimetre is one tenth of a centimetre, so 10 millimetres make one centimetre."}]},{"id":"ecceeceb-1b28-0c63-e30f-7e767fca818d","cardType":"basic","points":1,"front":"How many grams are in 1 kilogram?","back":"1000 g","mcqOptions":[{"text":"1000 g","correct":true,"explanation":"The prefix kilo- means one thousand, so one kilogram is made up of 1000 grams. To convert kilograms to grams, multiply by 1000."},{"text":"100 g","correct":false,"explanation":"This uses a factor of 100, commonly confused with the centimetres in a metre. The prefix kilo- means 1000, so one kilogram contains 1000 grams."},{"text":"10 g","correct":false,"explanation":"This uses the factor of 10 associated with some smaller metric steps, such as millimetres in a centimetre. One kilogram contains 1000 grams."},{"text":"10,000 g","correct":false,"explanation":"This introduces an extra factor of 10 when converting from kilograms to grams. The correct multiplier is 1000, so one kilogram equals 1000 grams."}]},{"id":"127cd353-b5c0-3aaa-30ca-dd5f835c02c9","cardType":"basic","points":1,"front":"How many millilitres are in 1 litre?","back":"1000 ml","mcqOptions":[{"text":"1000 ml","correct":true,"explanation":"One litre is equal to 1000 millilitres because the prefix “milli” means one-thousandth, so 1000 thousandths make one whole litre."},{"text":"100 ml","correct":false,"explanation":"This uses a conversion factor of 100 instead of 1000. One litre contains 1000 millilitres, because each millilitre is one-thousandth of a litre."},{"text":"10,000 ml","correct":false,"explanation":"This adds an extra factor of 10 to the conversion. One litre contains 1000 millilitres, not 10,000 millilitres."},{"text":"0.001 ml","correct":false,"explanation":"This reverses the conversion by treating a litre as one-thousandth of a millilitre. A millilitre is one-thousandth of a litre, so 1 litre equals 1000 ml."}]},{"id":"3929bffc-550b-29a7-eb28-7064bc4d9abb","cardType":"cloze","points":null,"front":"Changing from a bigger unit to a smaller unit makes the number [ ], so you [ ].","back":"Changing from a bigger unit to a smaller unit makes the number bigger, so you multiply.","mcqOptions":[{"text":"Changing from a bigger unit to a smaller unit makes the number bigger, so you multiply.","correct":true,"explanation":"Smaller units are needed in greater numbers to represent the same measurement. Therefore, converting from a bigger unit to a smaller unit requires multiplication."},{"text":"Changing from a bigger unit to a smaller unit makes the number smaller, so you multiply.","correct":false,"explanation":"Multiplication makes the numerical value bigger, not smaller. Converting from a bigger unit to a smaller unit makes the number bigger, so multiplication is required."},{"text":"Changing from a bigger unit to a smaller unit makes the number bigger, so you divide.","correct":false,"explanation":"Dividing would make the numerical value smaller and reverses the conversion. Smaller units are more numerous, so the number becomes bigger and you multiply."},{"text":"Changing from a bigger unit to a smaller unit makes the number smaller, so you divide.","correct":false,"explanation":"This describes conversion in the opposite direction. From a bigger unit to a smaller unit, the numerical value becomes bigger, so you multiply by the conversion factor."}]},{"id":"b24c6b52-baf8-d471-03b3-78b895ba34b3","cardType":"cloze","points":null,"front":"Changing from a smaller unit to a bigger unit makes the number [ ], so you [ ].","back":"Changing from a smaller unit to a bigger unit makes the number smaller, so you divide.","mcqOptions":[{"text":"Changing from a smaller unit to a bigger unit makes the number smaller, so you divide.","correct":true,"explanation":"Fewer bigger units are needed to represent the same measurement. Therefore, converting from a smaller unit to a bigger unit makes the number smaller and requires division."},{"text":"Changing from a smaller unit to a bigger unit makes the number bigger, so you divide.","correct":false,"explanation":"Division makes the numerical value smaller, not bigger. Converting from a smaller unit to a bigger unit makes the number smaller, so division is required."},{"text":"Changing from a smaller unit to a bigger unit makes the number smaller, so you multiply.","correct":false,"explanation":"Multiplication would make the numerical value bigger and reverses the conversion. Bigger units are less numerous, so the number becomes smaller and you divide."},{"text":"Changing from a smaller unit to a bigger unit makes the number bigger, so you multiply.","correct":false,"explanation":"This describes conversion in the opposite direction. From a smaller unit to a bigger unit, the numerical value becomes smaller, so you divide by the conversion factor."}]},{"id":"5d992f9b-bc53-af0e-f713-383876a024a3","cardType":"basic","points":1,"front":"Convert 6 m to cm.","back":"600 cm","mcqOptions":[{"text":"600 cm","correct":true,"explanation":"There are 100 centimetres in each metre, so converting 6 metres to centimetres requires multiplication by 100: 6 × 100 = 600 cm."},{"text":"60 cm","correct":false,"explanation":"This multiplies by 10 instead of 100. Since each metre contains 100 centimetres, 6 metres equals 6 × 100 = 600 cm."},{"text":"6000 cm","correct":false,"explanation":"This multiplies by 1000, confusing the metre-to-centimetre conversion with a metric conversion involving thousandths. Multiplying 6 by 100 gives 600 cm."},{"text":"0.06 cm","correct":false,"explanation":"This divides by 100 instead of multiplying, reversing the conversion direction. Centimetres are smaller than metres, so 6 metres becomes 600 cm."}]},{"id":"3841a77d-6a8f-8255-85bb-e2bc7d24edc8","cardType":"basic","points":1,"front":"Convert 2.7 km to m.","back":"2700 m","mcqOptions":[{"text":"2700 m","correct":true,"explanation":"There are 1000 metres in each kilometre, so converting 2.7 kilometres to metres requires multiplication by 1000: 2.7 × 1000 = 2700 m."},{"text":"270 m","correct":false,"explanation":"This multiplies by 100 rather than 1000. Since one kilometre contains 1000 metres, 2.7 kilometres equals 2700 m."},{"text":"27,000 m","correct":false,"explanation":"This multiplies by 10,000, moving the decimal point one place too far. Multiplying 2.7 by the correct factor of 1000 gives 2700 m."},{"text":"0.0027 m","correct":false,"explanation":"This divides by 1000 and therefore reverses the conversion. Metres are smaller than kilometres, so 2.7 kilometres must become the larger number 2700 m."}]},{"id":"3f73a274-e433-7dde-94da-459db7f8027c","cardType":"basic","points":1,"front":"Convert 0.72 kg to g.","back":"720 g","mcqOptions":[{"text":"720 g","correct":true,"explanation":"There are 1000 grams in each kilogram, so converting 0.72 kilograms to grams requires multiplication by 1000: 0.72 × 1000 = 720 g."},{"text":"72 g","correct":false,"explanation":"This multiplies by 100 instead of 1000, leaving the decimal shift one place short. The correct conversion gives 0.72 × 1000 = 720 g."},{"text":"7200 g","correct":false,"explanation":"This multiplies by 10,000, shifting the decimal point one place too far. A kilogram contains 1000 grams, so the correct result is 720 g."},{"text":"0.00072 g","correct":false,"explanation":"This divides by 1000 instead of multiplying, reversing the conversion direction. Grams are smaller units than kilograms, so 0.72 kg equals 720 g."}]},{"id":"04a2f266-7e94-13ce-50f4-b3c0ff007289","cardType":"basic","points":1,"front":"Convert 4300 g to kg.","back":"4.3 kg","mcqOptions":[{"text":"4.3 kg","correct":true,"explanation":"There are 1000 grams in each kilogram, so converting 4300 grams to kilograms requires division by 1000: 4300 ÷ 1000 = 4.3 kg."},{"text":"43 kg","correct":false,"explanation":"This divides by 100 instead of 1000, moving the decimal point only two places. Dividing 4300 grams by 1000 gives 4.3 kg."},{"text":"0.43 kg","correct":false,"explanation":"This divides by 10,000, moving the decimal point one place too far. Since 1000 grams make one kilogram, 4300 grams equals 4.3 kg."},{"text":"4,300,000 kg","correct":false,"explanation":"This multiplies by 1000 and reverses the conversion. Kilograms are bigger than grams, so the numerical value should decrease: 4300 g equals 4.3 kg."}]},{"id":"0aaa533f-483f-2461-759b-dc63bfc06c19","cardType":"basic","points":1,"front":"Convert 950 cm to m.","back":"9.5 m","mcqOptions":[{"text":"9.5 m","correct":true,"explanation":"There are 100 centimetres in each metre, so converting 950 centimetres to metres requires division by 100: 950 ÷ 100 = 9.5 m."},{"text":"95 m","correct":false,"explanation":"This divides by 10 instead of 100, moving the decimal point only one place. Dividing 950 centimetres by 100 gives 9.5 m."},{"text":"0.95 m","correct":false,"explanation":"This divides by 1000 rather than 100, confusing the centimetre conversion with a thousand-based conversion. Since 100 cm equals 1 m, 950 cm equals 9.5 m."},{"text":"95,000 m","correct":false,"explanation":"This multiplies by 100 and reverses the conversion direction. Metres are bigger than centimetres, so the number decreases: 950 cm equals 9.5 m."}]},{"id":"e6ed629a-4764-c5e0-1fe6-258c3a4e9034","cardType":"basic","points":1,"front":"Convert 37 cm to mm.","back":"370 mm","mcqOptions":[{"text":"370 mm","correct":true,"explanation":"There are 10 millimetres in each centimetre, so converting 37 cm to millimetres requires multiplying by 10, giving 370 mm."},{"text":"3.7 mm","correct":false,"explanation":"Dividing by 10 moves in the wrong direction and makes the measurement smaller. Since centimetres are larger than millimetres, multiply 37 by 10 to get 370 mm."},{"text":"37 mm","correct":false,"explanation":"Keeping the numerical value unchanged ignores the conversion factor. Each centimetre contains 10 millimetres, so 37 cm is equal to 370 mm."},{"text":"3700 mm","correct":false,"explanation":"Multiplying by 100 confuses the centimetre-to-millimetre conversion with metres to centimetres. The correct factor is 10, so the answer is 370 mm."}]},{"id":"0b833f4c-1f3c-9d53-6581-7213a2a98f07","cardType":"cloze","points":null,"front":"For length conversions, km to m uses [ ] and m to cm uses [ ].","back":"For length conversions, km to m uses 1000 and m to cm uses 100.","mcqOptions":[{"text":"For length conversions, km to m uses 1000 and m to cm uses 100.","correct":true,"explanation":"One kilometre contains 1000 metres, while one metre contains 100 centimetres. These are the correct conversion numbers for the two changes of unit."},{"text":"For length conversions, km to m uses 100 and m to cm uses 100.","correct":false,"explanation":"The factor 100 correctly converts metres to centimetres, but kilometres to metres requires 1000 because one kilometre contains 1000 metres."},{"text":"For length conversions, km to m uses 1000 and m to cm uses 10.","correct":false,"explanation":"The kilometre conversion is correct, but using 10 for metres to centimetres confuses centimetres with millimetres. One metre contains 100 centimetres."},{"text":"For length conversions, km to m uses 100 and m to cm uses 1000.","correct":false,"explanation":"These conversion numbers are assigned to the wrong scales. One kilometre is 1000 metres, whereas one metre is 100 centimetres."}]},{"id":"0d64bd36-9db5-bd26-6c60-76b9e743a743","cardType":"basic","points":1,"front":"Convert 3.6 litres to millilitres.","back":"3600 ml","mcqOptions":[{"text":"3600 ml","correct":true,"explanation":"One litre equals 1000 millilitres, so 3.6 litres is converted by multiplying 3.6 by 1000, producing 3600 ml."},{"text":"360 ml","correct":false,"explanation":"Multiplying by 100 uses a conversion factor that is ten times too small. One litre contains 1000 millilitres, so 3.6 litres equals 3600 ml."},{"text":"36 ml","correct":false,"explanation":"Multiplying by only 10 moves the decimal just one place and greatly underestimates the volume. Multiplying by 1000 gives the correct result of 3600 ml."},{"text":"36000 ml","correct":false,"explanation":"Moving the decimal four places multiplies by 10,000 rather than 1000. Since one litre contains 1000 millilitres, the correct volume is 3600 ml."}]},{"id":"f1e7c8b1-7173-7da4-9ed7-fd0a9a7874ec","cardType":"basic","points":1,"front":"Convert 680 ml to litres.","back":"0.68 litres","mcqOptions":[{"text":"0.68 litres","correct":true,"explanation":"There are 1000 millilitres in one litre, so converting 680 ml to litres requires dividing by 1000, giving 0.68 litres."},{"text":"6.8 litres","correct":false,"explanation":"Dividing by 100 moves the decimal only two places and makes the result ten times too large. Dividing 680 by 1000 gives 0.68 litres."},{"text":"68 litres","correct":false,"explanation":"Dividing by only 10 uses an incorrect conversion factor. Since 1000 ml equals one litre, 680 ml must be 0.68 litres."},{"text":"0.068 litres","correct":false,"explanation":"Dividing by 10,000 moves the decimal one place too far, making the result ten times too small. Dividing by 1000 gives 0.68 litres."}]},{"id":"e8d6f12a-607f-326d-af72-aa4ce5d64205","cardType":"cloze","points":null,"front":"Decimals use the same conversion rule: still [ ] or [ ] by the conversion number.","back":"Decimals use the same conversion rule: still multiply or divide by the conversion number.","mcqOptions":[{"text":"Decimals use the same conversion rule: still multiply or divide by the conversion number.","correct":true,"explanation":"The presence of a decimal does not change the conversion method. Multiply when moving to a smaller unit and divide when moving to a larger unit."},{"text":"Decimals use the same conversion rule: still multiply or subtract by the conversion number.","correct":false,"explanation":"Subtracting a conversion number does not scale a measurement between metric units. Decimals still require multiplication or division by the appropriate conversion number."},{"text":"Decimals use the same conversion rule: still add or divide by the conversion number.","correct":false,"explanation":"Adding the conversion number does not preserve the measurement's value in a new unit. The correct operations remain multiplication or division, even with decimals."},{"text":"Decimals use the same conversion rule: still add or subtract by the conversion number.","correct":false,"explanation":"Metric conversions scale quantities rather than increasing or decreasing them by a fixed amount. Use multiplication or division by the conversion number for decimals."}]}]}],"examCountdown":{"examDate":"2027-05-14","paperLabel":"Paper 1"},"heading":"Metric Conversions","title":"Metric Conversions Flashcards","topbar":{"backHref":"/gcse/maths/aqa/flashcards"},"topicSidebar":"$L37"}]}],"topicId":"46124835-aeb8-4f3e-807b-5bca32bd997f","walled":"$L38"}],"$L39","$L3a"]