This 11-plus Maths quiz on measures will test to see how good you are at converting from metric to imperial and vice versa. Some of the answers have been rounded to the nearest whole number or to the first decimal place. How about a change then?
The following symbols may be of use in doing this quiz:
See if you can get top marks in this quiz.
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If 1 lb = 454 g, then 7 lb = 7 × 454 = 3,178 g. 1 kg = 1,000 g ? 3,178 g = 3,178 ÷ 1,000 = 3.178 kg. You have to divide by 1,000 because you want to find out how many 'lots' of 1,000 there are in 3,178: each 'lot' equals 1 kg. If you don't like this method, you can keep on adding 'lots' of 1,000 to itself until you get to 3,178. D'oh!
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Obviously the highest number: 9 ft = 9 × 30 = 270 cm = 270 ÷ 100 = 2.7 m would not pass under the bridge BUT the lowest height that would not be able to pass under the bridge is 8.5 ft = 8.5 × 30 = 255 cm = 255 ÷ 100 = 2.55 m. It's 5 cm too high!
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Air is escaping at 80 cm3 each minute ? 5 × 80 = 400 cm3 will have escaped after 5 minutes. The air left in the balloon = 640 - 400 = 240 cm3. How fast or how slow something happens is called a 'rate', e.g. the balloon is losing air at the RATE of 80 cm3 per minute
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Learn this stuff!
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The volume of the rectangular container is = 40 × 40 × 50 = 80,000 cm3. Half the volume = 40,000 cm3. If water from a tap is pouring in at 1,000 cm3 every minute, then it will take 40,000 ÷ 1,000 = 40 min to half fill the tank. You have to divide by 1,000 because you want to find out how many 'lots' of 1,000 there are in 40,000 : each 'lot' equals 1 minute. If you don't like this method, you can keep on adding 'lots' of 1,000 to itself until you get to 40,000. D'oh! How fast or how slow something happens is called a 'rate', e.g. the tank is filling at the RATE of 1,000 cm3 per minute
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120,500 g = 120.5 kg: just divide 120.5 by 1,000. Now add the weights: 120.5 + 35.5 + 58 = 214 kg
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13 st 10 lb = 13 × 14 + 10 = 192 lb. 1 kg = 2.2 lb ?192 lb = 192 ÷ 2.2 = 87.27 kg. You have to divide by 2.2 because you want to find out how many 'lots' of 2.2 there are in 192: each 'lot' equals 1 kg
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If 1.61 km = 1 mile, then 245 miles = 1.61 × 245 = 394.45 km
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If 1.61 km = 1 mile, then 254 km = 254 ÷ 1.61 = 157.76 miles. You have to divide by 1.61 because you want to find out how many 'lots' of 1.61 there are in 254: each 'lot' equals 1 mile
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1 oz (ounces) = 28.34 g ? 6 oz = 28.34 × 6 = 170 g. 1 kg = 1,000 g ? 170 g = 170 ÷ 1,000 = 0.170 kg. By the way, there are 16 oz (ounces) in 1 lb (pound)
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