哈利伯瑞中学Haileybury Year10数学入学考试笔试题 超干货请收藏!

　　近几年，去英国读私校成为了很多中产家庭的首选，可是，私校并非有钱就能进，私校对于学生的考核标准也非常严格，申请的学生要经过笔试和面试，其中笔试是最为关键的一部，下面，小编就为大家带来了哈利伯瑞中学Haileybury Year10数学入学考试笔试题，希望对大家有所帮助：

　　数学

　　入学考试:14+(样本)

　　允许时间:45分钟

　　总分:50分

　　考试开始前请仔细阅读此信息

　　回答所有问题

　　请将你的答案写在试卷上，并在相关的地方写在指定的地方。

　　你不能用计算器。

　　A部分(20分)

　　A部分旨在测试核心技能和理解力。你应该在右边的回答框中回答每个问题。

　　B部分(30分)

　　B部分包含更大的问题解决元素。它包括多项选择题和书面回答题。您应在所提供的空格内完成书面回答问题，除最终解决方案外，您的书面作业将在演示文稿中被标记;没有辅助作业/计算的答案不能得满分。

　　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.

　　Which statement is true?

　　A: 24 × 70 = 74 × 20

　　C: 24 × 70 = 12 × 35

　　B: 24 × 70 = 48 × 35

　　D: 24 × 70 = 48 × 140

　　What is the value of the missing digit?

　　4714 × 28 = 1319 ? 2

　　A: 4 B: 6 C: 2 D: 9

　　A line parallel to 𝑦 = 3𝑥 − 5 passes through the point (2, 9). What is its equation?

　　A: 𝑦 = 9𝑥 + 3 B: 𝑦 = 3𝑥 + 3 C: 𝑦 = 3𝑥 + 9 D: 𝑦 = 3𝑥 + 7

　　Write

　　𝑥² + 4𝑥 + 3

　　In the form

　　(𝑥 + 𝑝)² +q

　　A: (𝑥 + 2)² − 4

　　B: (𝑥 + 2)² − 3

　　C: (𝑥 + 2)² − 1

　　D: (𝑥 + 2)² − 7

　　The mean, median and mode of the numbers below are the same, what is the value of 𝑎?

　　6, 2, 𝑎, 7, 4, 9, 6

　　A: 5 B: 6 C: 7 D: 8

　　For the following questions you should show all of your working clearly.

　　Correct answers without working may not receive full marks.

　　6 Solve the following pairs of simultaneous equations

　　2𝑥 + 3𝑦 = 10

　　5𝑥 − 𝑦 = −9

　　………………………………

　　7 Solve 3𝑛 + 2 ≤ 4𝑛 − 5

　　………………………………

　　8 A car travels at an average speed of 45 mph for 20 minutes.

　　The next part of the car’s journey takes 30 minutes at an average speed of 70 mph.

　　………………………………

　　(b) What is the average speed of the entire journey in mph?

　　………………………………

　　11 Two circles with radii 1 cm and 4 cm touch. The point 𝑃 is on the smaller circle, 𝑄 is on the larger circle and 𝑃𝑄 is a tangent to both circles.

　　Find the length 𝑃𝑄.

　　………………………………

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