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Eleven-Plus Preparation Specialists
11+ interview preparation requires a great deal of thought about a student’s broad life experiences and goals. This article focuses on mental arithmetic and problem solving.
You can find a range of tips and tutorials, as well as dedicated interview questions, in our 11+ Interview Online Course & Question Bank.
This gives 55. You can calculate this by adding the first number and the last, then dividing by 2, then multiplying by the number of values. So here, we would add 1+10 = 11, divide by 2 = 5.5, then multiply by 10 to get 55.Â
The answer is 60. If 72 is 120% of the original number, then 1% is 72/120=0.6. So, 100% (the original number) is 0.6 x 100 = 60.Â
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This gives an answer of 5. You can calculate this as 3.5 Ã· 0.7 = 5, because 0.7 goes into 3.5 exactly five times. You could also do 35 / 7 = 5, as we have multiplied both sides by 10.Â
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The answer is Â£156. Each book costs Â£36 Ã· 3 = Â£12. So, 13 books cost 13 x Â£12 = Â£156.Â
The sweatshirt costs Â£25 and the shoes cost Â£125. It would be easy to think that the shoes cost Â£150 and the sweatshirt costs Â£50 at first, but this doesnâ€™t give you a total of Â£150. Therefore you need to find two numbers that add up to 150, and are 100 apart. This could be written as
X + y = 150
X – y = 50
Add both to get x = 100
Tim must be 37. When Tom was 6, Tim was 3 – therefore Tim is 3 years younger than Tim. If Tom is now 40, then Tim is 40 – 3 = 37.
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To solve this, we first need to convert minutes into seconds since the speed is given in meters per second. 3 minutes and 30 seconds is equal to 210 seconds (3 * 60 seconds + 30 seconds). The distance the car travels can be found by multiplying the speed by the time. So, the car travels 5 m/s * 210 seconds = 1050 meters.
First, we find the number of red marbles: 45% of 180 is 81 (45/100 * 180). To find the number of non-red marbles, we subtract the number of red marbles from the total. So, 180 – 81 = 99 marbles are not red.
The fencing needed is equal to the perimeter of the rectangle, which can be calculated by the formula 2 * (length + width). So, the gardener needs 2 * (12m + 7m) = 38 meters of fencing.
This question involves units conversion. First, we need to convert the volume of water in the container from litres to millilitres, since the volume of the cups is given in millilitres. There are 1000 millilitres in 1 litre, so 4.5 litres is equal to 4.5 * 1000 = 4500 millilitres. Then, we divide the total volume of water by the volume of each cup to find the number of cups that can be filled: 4500 ml / 250 ml/cup = 18 cups. So, 18 cups can be filled with 4.5 litres of water.