汤布里奇公学14+入学考试数学笔试真题分享!

汤布里奇公学14+数学笔试真题分享!汤布里奇公学作为英国的顶尖私立中学之一，拥有优秀的学术成绩，数学笔试是申请该校必经的一项考核标准。接下来小编带大家来了解一下汤布里奇公学14+数学笔试真题，希望对大家有所帮助。

时间:1小时

总分:80分

说明:

1. 填写封面顶部的“姓名”和“学校”部分

2. 所有问题都应在空格内作答

3.不需要额外的纸张，包括图纸。

汤布里奇公学14+入学考试数学笔试真题：

1. Expand and fully simplify the following:

a) 4(5 − 3?)

Answer: ……………………………..

b) (2? − 1) (? + 5)

Answer: ……………………………..

c) (? + ?) (2? − 3?)

Answer: …………………………….

2. Solve the following equations:

a) 4(? − 3) = 20

Answer: ……………………………..

b) 2? − 4(? – 3) = 1

Answer: ……………………………..

Answer: ……………………………..

Answer: ……………………………..

Answer: ……………………………..

Answer: ……………………………..

Answer: ……………………………..

h) 2?² = 512

Answer: ……………………………..

3. Triangle ??? has an angle equal to 90° at ?, length of side ?? equal to 5cm and length of side ?? equal to 9cm.

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 ??, giving your answer to 3 significant figures

Answer: ……………………………..

c) Calculate the size of angle ???, giving your answer to 3 significant figures

Answer: ……………………………..

4. A line, L, passes through the points (4,0) and (−1, −2).

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. a) Solve the simultaneous equations

? = …………… ? = ……………

6. The following graph is to be drawn

? = 2?² − 3?

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 ≤ ? ≤ 3

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

2?² − 3? = 1

Answers: …………… and ………………..

7. Fully simply the following:

a) 2? + 3?

Answer: ……………………….

b) 3?³x 3?³

Answer: ……………………….

Answer: ……………………….

d) (4?²?⁶)²

Answer: ……………………….

8. A car journey of 380 km takes 4 hours. Part of this journey is on a motorway at an average speed of 110 km per hour; the remainder of the journey is on country roads at an average speed of 70 km per hour.

a) Write this information as a pair of simultaneous equations

Answer: ……………………………..

b) Solve these simultaneous equations to find how many kilometres of the journey is spent on the motorway.

Answer: …………………………km

9. a) A formula is given as ? = ? + ??

Calculate the value of ? when ? = 12, ? = −3, ? = 5

Answer: ……………………………..

Calculate the values of ? when ℎ = 13, ? = 5

Answer: ……………………………..

Calculate the value of ? when ? = 5, ? = 6

Answer: ……………………………..

上述就是汤布里奇公学14+数学笔试真题，考而思在线15年专注于为中国学生提供入学笔试、入学面试辅导服务，如果大家有14+数学笔试辅导需求的话，立即联系在线客服！