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11 Plus (11+) Maths Practice Test: Solving Problems (Difficult)
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11 Plus (11+) Maths Practice Test: Solving Problems (Difficult)
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21 Questions

1. One flu injection contains 10 ml of the vaccine. Doctor Do-a lot has 3,780 patients he has to inject. How much vaccine will he need?
2. 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 m2?
3. Small toy cars are packed in toy boxes whose volume is 120 cm3. 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 cm3, how many packing boxes will be required to pack all the toy boxes?
4. If a turntable rotates (turns) at a speed of 4,680 revolutions (complete turns) in one hour, how many revolutions does it make in 5 minutes?
5. Divide 522 by 60 to find 1% of the original price: 522 ÷ 60 = 8.7
Next we multiply 8.7 by 100 to find the original price: 8.7 x 100 = £870"
6. 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 m2?
7. If you lose a half of an eighth of all your money, what fraction of your money have you lost?
8. If a turntable rotates (turns) at a speed of 4,680 revolutions (complete turns) in one hour, how many revolutions does it make in 5 minutes?
9. It takes two pumps 32 hours to empty a pond. How many pumps would be needed to empty it in one hour?
10. The antiques shop is having a sale and all items are being sold for 60% of their original price. A gramophone now costs £522 so, how much was it before the sale?
11. The temperature in an oven is increasing by 13o every minute. If the temperature is already 18o when the oven is turned on, how hot will it be after 17 minutes?
12. If you lose a half of an eighth of all your money, what fraction of your money have you lost?
13. 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?
14. 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?
15. It takes two pumps 32 hours to empty a pond. How many pumps would be needed to empty it in one hour?
16. 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?
17. Aurora wants 17 DVDs of the film she has acted in, so that she can give a copy to her closest friends, but that would cost her £221. She can only afford to buy 6 DVDs. How much will 6 DVDs cost?
18. Small toy cars are packed in toy boxes whose volume is 120 cm3. 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 cm3, how many packing boxes will be required to pack all the toy boxes?
19. Mike lives five times further way from London than Tom. If Mike lives 75 miles away from London, how far away does Tom live?
20. 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?
21. 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?