Welcome to the second quiz in our Very Easy series on Solving Problems. Like the first, it will see how well you can work out the answers to questions involving weights and other measures like seconds, litres or kilometres.
It’s not just in your Eleven Plus maths exam that you will find problems like these. Whenever you want to work out how long something will take, how much material you will need, or how far something is, you will be working with weights and measures. The more you practice now, the easier you will find problems you face in real life.
Have a go at this quiz and see how you fare. Once you can get all ten questions right first time, then why not move on to our next quiz? Once you’ve completed them all, you should have the measure of weights and measures!
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If Annie can type 1.5 times faster than Bobby, then for every word Bobby types she will type 1.5 words. To work out the answer, simply divide 60 by 1.5:
60 ÷ 1.5 = 40 Another way you could work this one out is to divide 60 by 3 then multiply your answer by 2: 60 ÷ 3 = 20, 20 x 2 = 40 |
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Each biscuit weighs 16 g so, to find out how many biscuits are in a 400 g box, simply divide 400 by 16:
400 ÷ 16 = 25 |
The first thing to do is to convert 3.5 hours to minutes. This will make the problem simpler:
3.5 x 60 = 210
Now we can divide the number of minutes by 42 to find how long it took Martin to run 1 km: 210 ÷ 42 = 5 It took Martin an average of 5 minutes to run 1 km |
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One litre is 1,000 ml, so it would take 5 glasses of milk to make one litre (1,000 ÷ 200 = 5).
To find out how many litres of milk are in the churn, we divide 815 (the number of glasses) by 5 (the number of glasses in one litre): 815 ÷ 5 = 163 |
This problem has to be worked out in steps:
First of all, calculate the total weight of newspapers: 13 x 40 = 520 g Next, calculate the total weight of magazines: 5 x 75 = 375 g Finally, we add the weights together, making sure to include the weight of the bag in grams: 520 + 375 + 1,000 (1 kg = 1,000 g) = 1,895 g |
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To work this one out we have to divide 159 (the final height) by 1.5 (the average growth per day): 159 ÷ 1.5 = 106.
Another way to do this would be to divide 159 by 3 and then multiply your answer by 2: 159 ÷ 3 = 53, 53 x 2 = 106 |
There are 30 days in April so, to work out your answer, you need to divide 100,000 by 30:
100,000 ÷ 30 = 3,333.33333 Next, round your answer to the nearest whole number: 3,333 |
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To work this problem out, the first thing to do is to convert 2 litres into ml by multiplying by 1,000: 2 x 1,000 = 2,000
Next, add together the amounts of oil Charlie has used: 255 + 475 = 730 Finally, subtract the amount of oil used from the total: 2,000 – 730 = 1,270 ml, which is the same as 1.27 litres |
To solve this problem, first we need to convert 15 m into cm by multiplying by 100: 15 x 100 = 1,500
Next, we must divide 1,500 (the total amount of ribbon) by 28 (the amount required to wrap one parcel): 1,500 ÷ 28 = 53.71 Do not round your answer up - after Harper as wrapped 53 parcels, she will not have enough ribbon left to wrap any more. The answer is 53 |
The number of cans = 48 x 20 = 960