麦钱特泰勒斯公学13+入学考试数学笔试真题分享!

麦钱特泰勒斯公学13+数学笔试真题！麦钱特泰勒斯公学作为英国九大公学之一的私校，学术成绩十分优异，每年大约有12%的学生升读牛剑。13+是麦钱特泰勒斯公学每年报考人数最多的入学考试之一，而数学是13+入学考试的必考科目之一。下面小编分享麦钱特泰勒斯公学13+数学笔试真题，希望大家可以提前熟悉该笔试题型。

时间：60分钟 说明：回答尽可能多的问题。有些一开始很容易，后来变得更难了。你应该在这张试卷上展示你所有的工作。 麦钱特泰勒斯公学13+入学考试数学笔试真题： 1. (a) Draw all of the lines of symmetry on the following shape. (b) How many lines of symmetry has the shape below? Answer: …………………………….………………… (c) Draw a shape with exactly four lines of symmetry in the space below. 2. (a) Write in digits the number seventy three thousand and forty six. Answer:………………………………….. (b) Write the answer to the sum of two hundred and six plus two thousand three hundred and twenty in words. Answer:………………………………………………………………………………………… 3. From the numbers in the box above write down: (a) A multiple of 7: Answer:…………………… (b) A square number: Answer:…………………… (c) The product of two of the other numbers in the box: Answer:…………………… 4. (a) Calculate the angles marked ? and ? in the diagram below: Answer: x =…………….., y=………… (b) Calculate the angles marked ?, ?, ?, ? and ? in the diagram below: 5. (a) Sean scored 27 out of 45 in a test. Write this as a percentage. Answer:………………% (b) In a class of 30 pupils, 21 are girls. What percentage of the class is boys? Answer:………………% (c) Write 0.8 as a fraction in its simplest form. Answer:………………… (d) Write 85% as a fraction in its lowest terms. Answer:………………… (e) Rearrange the following in order of size, smallest to largest. Answer:……………………………………………………………… 6. Sarah sat by the river Thames and recorded the number of cyclists that passed by every minute. She plotted a bar chart of her results. (a) What was the largest number of cyclists to pass in one minute? Answer…………….……… (b) What was the most frequent number of cyclists per minute? Answer…………….……… (c) For how many minutes, in total, was Sarah recording cyclists? Answer…………….……… Sarah now continues to count the number of cyclists for the next 3 minutes. The number of cyclists were: 1, 4, 1. (d) Add this data to the bar chart above. 7. A gardener measures the night time temperatures over two evenings and records the results in the table shown below: (a) At what time and on which day was the lowest temperature recorded? Answer:…………………………………. (b) What was the difference between the lowest and highest temperature on Tuesday? Answer:…………………………………℃ (c) He realises his thermometer is recording incorrectly and that each temperature should be 5℃ lower than was recorded. What is the correct temperature at 1am on Monday? Answer:…………………………………℃ (d) On Wednesday the forecast is for all temperatures to drop by 3℃ from what they were on Tuesday. Bearing in mind his thermometer is broken, what will the actual temperature be on Wednesday at 2am? Answer:………………………………℃ 8. Solve the following equations: (a) 3? = 36 Answer: ? =……………… (b) ? + 7 = −15 Answer: ? =………………. (c) 4? − 2 = 14 Answer: ? =………………. 9. On the grid below draw the reflection of the shape shown in the mirror line AB: 10. Write the next two terms in each of the following sequences: (a) 5, 11, 17, 23, ………, …….. (b) 10, 7, 4, 1, …….., ………. (c) 2, 8, 32, 128, ……., ……. 11. The perimeter of a rectangle is 22cm. One of the sides has length 8cm. Calculate the lengths of the other three sides. Answer………………cm, ……………….cm, and ……………..cm 12. Estimate the following by first rounding each number to the nearest whole number: (a) 9.47 × 34.5 Answer:………………………………….. (b) 3.75² − 11.63 × 2.87 Answer:………………………………….. 13. (a) Explain why 91 is not a prime number. Answer:…………………………………………………………………………………………… (b) What is the 7^th prime number? Answer:………………………………….. 14. The contents of part of a wardrobe are shown in the pie chart below: What fraction, in its simplest form, of Footwear are boots? Answer: ………………… 15. (a) Find the highest common factor (HCF) of 66 and 30. Answer:………………………………….. (b) Find the lowest common multiple (LCM) of 12 and 8. Answer:………………………………….. 16. Fazal has £2.60 and Gareth has £5.30. Gareth gives Fazal some 5p coins. Each boy now has the same amount of money. How many 5p coins did Gareth give Fazal? Answer: ……………… 17. Circle the most appropriate unit of measure for the following: (i) The length of an airplane Answer: millimetres     kilometres     centimetres     metres (ii) The weight of a cat Answer: ounces      tons     pounds     stones (iii) The capacity of a bath Answer: pints    gallons     fluid     ounces     millilitres 18. A box of celebrations contains one Twix, one Snickers, one Milky Way, and ten Bounty chocolates. Jane chooses a chocolate at random. Put a ring around the correct answer in the list to show the probability that the chocolate will be: (a) A Bounty Answer: impossible     unlikely    even     chance     likely    certain (b) A Twix Answer: impossible    unlikely    even    chance    likely      certain (c) A Galaxy Answer: impossible     unlikely    even     chance    likely    certain 19. (a) Which is the greater? 3 × 2³ or 2 × 3² Answer:…………………………………. (b) By how much? Answer:………………………………….. (c) Write down two cube numbers which are also square numbers. Answer:………… and …………… Answer:………………………………….. 21. There are ? horses, ? cows and one three legged dog in a field. (a) Write down an expression in algebra for the total number of legs in the field. Answer:…………………………………… Half of the cows and one quarter of the horses leave the field. (b) Write down an expression in algebra for the number of heads that remain in the field. Answer:………………………………….. 22. An alloy contains iron and tungsten in the ratio 5 parts to 1 part. (a) If the mass of the alloy is 72kg, how much iron and tungsten does it contain? Answer: Iron:………………kg, Tungsten:………………kg (b) If there is 15kg of iron in a quantity of the alloy, how much tungsten is there? Answer:…………………kg 23. A large cube is made by gluing together smaller white and grey cubes of volume 1cm³ as shown. If five grey cubes are removed from each face of the larger cube, what is the total volume remaining? Answer: ... ... ... ... ... ... ... cm³ 24. If a basketball weighs 300g plus half its own weight, how much does it weigh? Answer: ………………g 25. 25 students have taken an exam and the mean number of marks is recorded as 83. The examiner subsequently awards 5 additional marks to 9 of the students and takes away 2 marks from 10 other students. What will the new mean mark be? Answer: …………………………….………………… 26. The centre of a square is at the point (1 , 2) and one of the vertices (corners) of the square is at the point (4 , 7). (a) Plot the centre of the square and one of the vertices on the grid below. (b) Plot the other three vertices of the square on the grid above, and write down the co-ordinates of the three points you have just plotted. Answer: ( …… , …… ), ( …… , …… ), ( …… , …… ) 27. The number of leaf cutter ants doubles every day for the first week. (a) If there were 10 at the end of the first day how many are there at the end of the second day? Answer…………….……… (b) How many were there at the end of the week? Answer…………….……… 28. Find in terms of x the perimeter of the following triangle: Answer:…………………………………. 29. (a) An egg box holds 6 eggs. How many boxes are needed for 100 eggs? Answer…………….……… (b) A toy train travels 6 metres in two seconds. How far will it travel in one minute? Answer…………….………m 30. One of the angles of an isosceles triangle is 96° . Find the sizes of the other two angles. Answer:……………° and ……………° 31. Mrs Jones is 24 years older than her daughter. The sum of their ages is 70 years. How old is Mrs Jones? Answer: ……. ... .. ... ... … years 33. Two different clocks show the time 3 o’clock. The first gains 5 minutes per hour and the second gains 20 minutes per hour. How long will it be in hours before both clocks look as though they show the same time? Answer:…………………………………..hours 34. A “double–decker” sandwich has three slices of bread and two layers of filling. (e.g. bread/filling/bread/filling/bread). Each slice of bread has to be buttered on each side that is in contact with the filling. I make as many of these sandwiches as possible from a sliced loaf which has 22 usable slices, excluding crusts which are not used. How many sides of bread do I have to butter? Answer:……………….…………sides 35. The two-digit by two-digit multiplication below has lots of gaps, but most of them can be filled by logic (not by guesswork). Which digit must go in the position of the * ? Answer:……………….………… 麦钱特泰勒斯公学13+数学笔试真题就分享到这里了，考而思在线汇集世界知名大学毕业3000+博硕导师，留学笔试/留学面试/留学课程/留学论文/留学考试等全程1V1辅导教学。若大家需要冲刺13+数学笔试高分，欢迎咨询我们的在线客服！我们的笔试辅导老师将根据麦钱特泰勒斯公学13+数学笔试要求，定制相应备考方案，帮助大家适应考试环境，顺利通过麦钱特泰勒斯公学13+数学笔试的考察！