英国私校14+都考些什么内容?三大顶尖私校14+入学考试笔试题型分享!

　　英国私校一直走的是择优录取的精英路线，在每年的5-6月份，英国各个私校都会陆续开放11+、14+、13+、16+的入学考试报名，热门的私校往往有几千人报名，录取名额仅有100人左右，并且有的学校会安排几轮笔试，十分严格，14+是比较常见的入学时间点，那么，问题来了，英国私校14+都考些什么内容?接下来，小编就为大家带来了三大顶尖私校14+入学考试笔试题型分享，希望对大家有所帮助：

　　汤布里奇公学Tonbridge school

　　14+数学入学考试

　　1. Expand and fully simplify the following:

　　a) 3(6 − 2𝑥)

　　Answer: …………………………….

　　b) (4𝑥 − 1) (2𝑥 + 5)

　　Answer: ……………………………..

　　c) (𝑎 + 𝑏) (3𝑎 − 4𝑏)

　　Answer: ……………………………..

　　2. Solve the following equations:

　　a) 8(𝑦 − 3) = 20

　　Answer: ……………………………..

　　b) 2𝑥 − 8(𝑥 – 3) = 1

　　Answer: ……………………………..

　　Answer: ……………………………..

　　Answer: ……………………………..

　　Answer: ……………………………..

　　Answer: ……………………………..

　　3. Triangle 𝐴𝐵𝐶 has an angle equal to 90° at 𝐶, length of side 𝐴𝐶 equal to 6cm and an angle at A equal to 30°

　　a) Draw a diagram, with appropriate labels and showing all the above information. The diagram does not need to be drawn with accurate lengths.

　　b) Calculate the length of side 𝐴𝐵, giving answer to 3 significant figures.

　　Answer: ……………………………..

　　c) Use Pythagoras’ Theorem to calculate the length of side 𝐵𝐶, giving your answer to 3 significant figures.

　　Answer: ……………………………..

　　4. A line, L, passes through the points (6,0) and (−2, −4).

　　a) By first drawing a set of axes, illustrate the line, L, on a graph.

　　b) Calculate the gradient of L.

　　Answer: ……………………………..

　　c) Determine the equation of L.

　　Answer: ……………………………..

　　5. The following graph is to be drawn:

　　𝑦 = 2𝑥² − 3𝑥 + 1

　　a) Complete the table:

　　b) By first drawing a set of axes, then plotting appropriate points based on the information in the above table, draw the graph for the values −2 ≤ 𝑥 ≤ 3.

　　c) Using your graph, estimate the solutions of the equation:

　　2𝑥² − 3𝑥 + 1 = 2

　　Answers: …………… and ……………….

　　6. Fully simply the following:

　　a) 3𝑥³x 3𝑦³

　　Answer: ……………………….

　　Answer: ……………………….

　　c) (8𝑎²𝑏⁶)²

　　Answer: ……………………….

　　Calculate the value of T when 𝑣 = 1200.

　　Answer: ……………………………..

　　7. (a) A man is 32 years older than his son. Ten years ago he was three times as old as his son was then. By forming an appropriate equation, or equations, find and list the age of each.

　　Answer: ………………………….……………..

　　(b) A bus is travelling with 52 passengers. When it arrives at a stop, x get off and 4 get on. At the next stop one third of the passengers get off and then 3 get on. There are now 25 passengers. Find x.

　　Answer: …………………………….

　　哈里伯瑞学院Haileybury College

　　14+数学

　　Section A

　　Each of the following questions are worth 1 mark

　　Write your answers down the right-hand side

　　1 Calculate 573 + 48

　　………………………………

　　2 Calculate 20 − 2 × 5 − 7

　　………………………………

　　………………………………

　　………………………………

　　5 Calculate 435 × 7

　　………………………………

　　6 Find the value of 2⁵

　　………………………………

　　7 Find the value of 4⁻²

　　………………………………

　　8 Solve 2𝑥 + 7 = 11

　　………………………………

　　9 Solve 3(𝑥 − 4) = 12

　　………………………………

　　10 At the bakers, iced buns cost 80p and cinnamon rolls cost £1.10. How much do 2 iced buns and 1 cinnamon roll cost?

　　………………………………

　　11 Factorise 𝑥² + 2𝑥 – 15

　　………………………………

　　12 Solve 5(3𝑥 − 4) = 10𝑥 + 5

　　………………………………

　　13 Expand and simplify 5(4𝑦 + 5) + 3(5𝑦 − 1)

　　………………………………

　　………………………………

　　15 In a certain year, the value of a painting increased by 20%. If at the start of the year it was worth £2400, how much is it worth now?

　　………………………………

　　Section B

　　Each of these multiple choice questions is worth 2 marks.

　　If you give an incorrect answer you will be deducted 1 mark.

　　Write your answer by putting the relevant letter on the right hand side.

　　1.Which statement is true?

　　A: 24 × 70 = 74 × 20

　　C: 24 × 70 = 12 × 35

　　B: 24 × 70 = 48 × 35

　　D: 24 × 70 = 48 × 140

　　2.What is the value of the missing digit?

　　4714 × 28 = 1319 ? 2

　　A: 4      B: 6      C: 2       D: 9

　　14+英语

　　博耐顿女校Benenden School

　　14+英语考试题型

　　Question 1

　　Read the following poem and answer the question that follows.

　　Question 2

　　This is a creative writing assignment.

　　Write a short story with the title “I’ll Take it Any Day”.

　　This can be based on a real experience or it could be entirely imaginary. The essential aim is to describe events in as much detail as possible so that your reader can picture them vividly.

　　The quality of your written communication will be assessed in Question 2 so remember to focus on things such as paragraphing, spelling and written accuracy in your writing.

　　Answer booklet

　　……………………………………………………………………………………………….....

　　…………………………………………………………………………………………………..

　　…………………………………………………………………………………………………..

　　…………………………………………………………………………………………………..

　　…………………………………………………………………………………………………..

　　…………………………………………………………………………………………………..

　　14+数学考试题型

　　1. If e = - 5, f = 7 and g = 8, find the value of:

　　(a) fg - e

　　……………………………………

　　(b) e² + g

　　…………………………………..

　　2. Work out:

　　3. (a) Mimi and Lindi each bought a dress in a sale.

　　Mimi’s cost £65.45 and Lindi’s cost £52.65.

　　Their mother had given them each two £50 notes and they were asked to give all the change back to their mother.

　　What was the total amount of money their mother received?

　　……………………………………

　　(b) Ben and Martin took their families and some friends to the theme park.

　　Ben bought 8 tickets for a roller-coaster ride, at £5.60 each.

　　Martin paid for 14 children to go on the Dodgem Cars and he paid exactly the same total amount as Ben did.

　　What was the price of each Dodgem Car ticket?

　　…………………………………..

　　4. Arrange the following in order of size, largest to smallest:

　　………………...……………………………………………………..

　　5. Write down the values of angles a, b, c and d in the following diagrams. EFGH, PR and QS are all straight lines

　　(The diagrams are not drawn to scale)

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