AQA · Mathematics · 8300
GCSE Maths: Decimals: division by decimals
Number · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Decimals: division by decimals (Corbettmaths Video 92), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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How many sweets costing £0.04 each can you buy for £20?
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500 sweets. Divide £20 by £0.04: 20 ÷ 0.04 = 500.
If you have 20 metres of ribbon and cut it into pieces 0.8m long, how many pieces will you have?
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25 pieces. Divide 20 by 0.8: 20 ÷ 0.8 = 25.
How many grains of rice are in 300g if each grain has a mass of 0.015g?
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20,000 grains. Divide 300 by 0.015: 300 ÷ 0.015 = 20,000.
If a 4.8m string is cut into 8 equal pieces, how long is each piece?
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0.6m. Divide 4.8 by 8: 4.8 ÷ 8 = 0.6.
What is 40 × 0.3?
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12. Multiplying 40 by 0.3 gives 12.
If 358 × 26 = 9308, what is 3.58 × 2.6?
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9.308. Moving the decimal point two places left in 358 (to 3.58) and two places left in 26 (to 2.6) moves it four places left in the answer: 9308 becomes 9.308.
If 358 × 26 = 9308, what is 93080 ÷ 2.6?
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35,800. Since 358 × 26 = 9308, we have 3580 × 26 = 93,080. Therefore 93,080 ÷ 26 = 3580, and 93,080 ÷ 2.6 = 35,800.
How many 2.5m strips can you cut from a 44.1m roll of ribbon?
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17 strips (with remainder). Divide 44.1 by 2.5: 44.1 ÷ 2.5 = 17.64, but you can only cut 17 complete strips.
If the exchange rate is £1 to $1.40, how many US dollars do you get for £16?
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$22.40. Multiply 16 by 1.40: 16 × 1.40 = 22.40.
If each 2 pence coin is 0.185cm thick, how tall is a tower of 250 coins?
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46.25cm. Multiply 0.185 by 250: 0.185 × 250 = 46.25.
When dividing by a decimal like 0.8, does the result increase or decrease compared to dividing by 1?
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Increase. Dividing by a number less than 1 makes the result larger. For example, 20 ÷ 0.8 = 25, which is more than 20.
When multiplying by a decimal like 0.8, does the result increase or decrease compared to multiplying by 1?
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Decrease. Multiplying by a number less than 1 makes the result smaller. For example, 20 × 0.8 = 16, which is less than 20.
What is 2.59 × 4.8?
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12.432
What is 35.28 ÷ 1.8?
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19.6
What is 0.006 × 0.42?
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0.00252
A plant grows at 3 cm per week. How many weeks does it take to grow from 70 cm to 1.24 m?
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18 weeks. (1.24 m = 124 cm; growth needed = 124 - 70 = 54 cm; 54 ÷ 3 = 18)
If a plant's growth rate is less than the assumed rate, how does that affect the time needed to reach a target height?
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It will take more time (more weeks) to reach the target height.
What is 60.08 − 5.58 ÷ 0.2?
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32.18. (Following order of operations: 5.58 ÷ 0.2 = 27.9, then 60.08 - 27.9 = 32.18)
A pool's water depth starts at 1.6 m and decreases by 7.5 cm per minute. How many minutes until the depth reaches 40 cm?
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16 minutes. (1.6 m = 160 cm; depth decrease = 160 - 40 = 120 cm; 120 ÷ 7.5 = 16)
If water drains from a pool at a faster rate than assumed, how does that affect the time needed to reach a target depth?
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It will take less time (fewer minutes) to reach the target depth.
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