汤布里奇公学Tonbridge school 14+数学A卷入学考试笔试题型大赏析 赶紧来收藏吧!

　　作为英国三大贵族男校之一的学府，汤布里奇公学拥有着450多年的历史，是继伊顿公学、哈罗公学之后的顶尖男校之一，每年有将近四分之一的学生入读牛津大学，学术成绩斐然，因此，越来越多的学生去该校留学，可是笔试是非常重要的考核标准，下面，小编就为大家带来了汤布里奇公学Tonbridge school 14+数学A卷入学考试笔试题型大赏析，希望对大家有所帮助：

　　14+数学入学考试:A卷

　　说明:

　　1. 在封面顶部填写姓名和学校。

　　2. 所有问题都应在空格内作答。

　　3.一个完全正确的答案可能没有得分，除非所有的工作都显示出来。

　　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: …………………………….

　　8. (a) By first adding the three equations together, or otherwise, solve the equations:

　　Answer: ……………………………..

　　(b) Solve the equations:

　　Answer: ……………………………..

　　9. Two sides of a regular pentagon, a square and a regular n sided polygon meet at the point P.

　　Find the value of n, showing your working clearly.

　　Answer: ……………………………..

　　10. A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/h and for the second half the speed was 40km/h. How far is the journey?

　　Answer: ……………………………..

　　11. Wallace and Gromit are waiting in a queue. There are x people behind Wallace, who is y places in front of Gromit. If there are n people in front of Gromit, how long, in terms of n, x and y, is the queue?

　　Answer: ……………………………..

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