You should have learnt a few methods for solving real life problems from the previous three groups of 11-plus Maths quizzes: see how well you can apply your skills to these problems.
This is a difficult group of quizzes compared to the previous ones, so remember to read the questions carefully. Look at the four options before choosing your answer.
You may find it helpful to have pencil & paper by your side so you can jot any notes down. Take your time and if you get any wrong, read the helpful comment that appears after you've answered the question - this should help when playing the quiz again.
If you haven't already, it would be a good idea to do the previous quizzes BEFORE doing this one.
Good luck!
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1 m2 requires 10 ml ? 1,000 m2 requires a 1,000 times more pesticide: 1,000 × 10 = 10,000 ml. Now 1 L = 1,000 ml ? 10,000 ml = 10 L because 10,000 ml is 10 times more than 1,000 ml
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The height of the Towers building is three times the height of the Spire building = 3 × 18 = 54
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2,500 ÷ 125 = 20. You have to divide 2,500 by 125 because you want to find out how many 'lots' of 125 there are in 2,500 : each 'lot' equals 3 minutes. So 20 'lots' of 3 minutes means it took 20 × 3 = 60 minutes to empty the grounds. How fast or how slow something is happening is called a 'rate'. In this case: the spectators are leaving at a rate of 125 people per 3 minute period
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If the temperature is increasing at the rate of 2°C per minute, the temperature of the substance at the end of 8 minutes = 8 × 2 = 16°C BUT it was initially at -6°C, so the final temperature will be -6°C + 16°C = 10°C
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It takes 4 men 128 hours to complete the job, so it will take 1 man four times that amount of time = 4 × 128 = 512 hr. Now a group of 16 men is 16 times more than one man, so they will complete the job in 1?16 of the time it takes one man: 512 ÷ 16 = 32 hr. ALTERNATIVELY, a group of 16 men is 4 times that of a group of 4 men, so they will do the job in quarter of the time: 128 ÷ 4 = 32 hr
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6,000 ÷ 5 = 1,200. You have to divide 6,000 by 5 because you want to find out how many 'lots' of 5 there are in 6,000 : each 'lot' equals the number of revolutions in 1 minute
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1,200 ÷ 120 = 10. You have to divide 1,200 by 120 because you want to find out how many 'lots' of 120 there are in 1,200: each 'lot' equals the number of toy boxes that can be put into each packing box. Each packing box can hold ten toy boxes, so 6,000 toy boxes require 6,000 ÷ 10 = 600 packing boxes: You have to divide 6,000 by 10 because you want to find out how many 'lots' of 10 there are in 6,000: each 'lot' equals the number of packing boxes that are required
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The word 'of' means multiply, so 1?2 × 1?8 = 1?16
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From 3°C to -14°C is a temperature movement of 17°C BUT it is not -17°C
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If Mike lives five times further way from London than Tom, then Tom lives one fifth of that distance away from London: 75 ÷ 5 = 15 miles
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