Welcome to this, the second of our Easy Eleven Plus maths quizzes on Solving Problems. Like the previous quizzes, this one will ask you to find the answers to questions involving weights and measures. They are not too hard – just apply a little logic and you will be fine.
Let’s say that you want to know how much paint you will need to cover a wall measuring 5 metres by 2 metres. The total area of the wall is 10 m2 (5 x 2 = 10). Now, if a tin of paint covers 2 square metres, then you will need 5 tins of paint (10 ÷ 2 = 5).
See how easy it is if you apply a little thought? The questions we will pose you are of a similar vein. Just read them thoroughly, think hard, and then choose your answers. The more you practice, the better you will be - as if a weight had been removed from your shoulders!
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If one litre of fuel will take Rachel 20 km, then we divide 170 by 20 to find how much fuel she will need:
170 ÷ 20 = 8.5 litres |
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First we need to work out how much wall one man can build in a day. If three men can build 12 metres in 2 days, then 1 man can build 4 metres in 2 days (12 ÷ 3 = 4). If one man can build 4 metres of wall in 2 days, then he can build 2 metres in 1 day.
Now we know how much work one man can do in one day, we need to find out how long it will take him to build 12 metres of wall: 12 ÷ 2 = 6. It will take one man 6 days to complete the job |
First we need to find out the volume of one box in cubic metres: 0.5 x 0.5 x 0.5 = 0.125 m3.
0.125 is one eighth of 1 (1 ÷ 0.125 = 8) so, to find out how many boxes will fit onto the lorry, we multiply 86 (its capacity) by 8: 86 x 8 = 688 |
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Sarah has three dogs, each needing three tins of food a day. So, she needs 3 x 3 = 9 tins of food every day.
There are seven days in a week so next we must multiply 9 by 7: 9 x 7 = 63 |
Don’t be put off when you encounter a measure you are unfamiliar with – all the information you need is in the question:
If one furlong = one-eighth of a mile then simply multiply 17.5 by 8 for your answer: 17.5 x 8 = 140 |
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Scarlett’s journey took 65 minutes in total (48 + 17 = 65).
There are 60 minutes in an hour, so we know that Scarlett’s journey lasted 1 hour and 5 minutes. 1 hour and 5 minutes after 6.29 am is 7.34 am |
To convert kilometres to miles, divide by 1.61:
32 ÷ 1.61 = 19.875, which we round up to 20 miles. To convert miles to kilometres we would reverse the process and multiply by 1.61: 20 x 1.61 = 32.2, which we round down to 32 km |
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If it takes James 1 hour to walk 3 miles, then to find out how long it will take him to walk 7.5 miles, we divide 7.5 by 3:
7.5 ÷ 3 = 2.5 hours. Next, we have to convert hours to minutes by multiplying by 60: 2.5 x 60 = 150 minutes |
Did you get caught out here? They will ALL have dried in 2 hours: there is NO relationship between the number of socks and the drying time. D'oh!
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197 ÷ 2.47 = 79.757
Round this answer up to the nearest whole number: 80 hectares