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11-Plus Maths
Solving Problems (Difficult)
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Q.1
The height of the Towers building is three times taller than the Spire building. If the Spire building is 18 m high, how high is the Towers building?
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6 m
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54 m
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36 m
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27 m
Q.2
It takes 4 men 128 hours to complete a certain engineering maintenance job. How long will it take 16 men to complete the same job if they work at the same speed?
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64 hr
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16 hr
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32 hr
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8 hr
Q.3
The temperature changed from -8°C to 3°C and then to -14°C over the last two day period. How many degrees below 3°C was the final temperature?
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-14°C
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14°C
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-17°C
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17°C
Q.4
At the end of a rugby match, 125 people left the grounds every 3 minutes. If there were 2,500 spectators at the match, how long did it take for the grounds to empty?
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60 min
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30 min
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120 min
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20 min
Q.5
Farmer Jones is spraying his crops with a pesticide. If 10 ml of pesticide is required for each square metre, how many litres of pesticide will be required to spray 1,000 m ?
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100 L
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1 L
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10 L
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1,000 L
Q.6
Small toy cars are packed in toy boxes whose volume is 120 cm . There are 6,000 toy boxes. If the toy boxes are to be packed into larger packing boxes, each of whose volume is 1,200 cm , how many packing boxes will be required to pack all the toy boxes?
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60
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600
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120
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60,000
Q.7
If a wheel rotates (turns) at a speed of 6,000 revolutions (complete turns) in 5 minutes, how many revolutions does it make in 1 minute?
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3,000
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12,000
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30,000
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1,200
Q.8
The temperature of a substance in a chemistry experiment is -6°C. If the temperature is increasing at the rate of 2°C per minute, what will the temperature of the substance be in 8 minutes?
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16°C
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22°C
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-4°C
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10°C
Q.9
If you lose a half of an eighth of all your money, what fraction of your money have you lost?
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1⁄4
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1⁄16
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1⁄8
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3⁄4
Q.10
Mike lives five times further way from London than Tom. If Mike lives 75 miles away from London, how far away does Tom live?
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375 miles
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37.5 miles
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15 miles
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13 miles
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