干货请收藏 哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题!

2022-12-22

  英国的私校一直被称为贵族教育和精英教育,拥有着众多历史悠久的私立学校,哈利伯瑞中学就是其中非常顶尖的私立混校,其学术成绩一直名列前茅,因此,越来越多的学生去该校留学,可是,入读私校要经过笔试,下面,小编就为大家带来了哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题,希望对大家有所帮助:

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  数学

  入学考试:Pre-IB(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

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  5 Calculate 435 × 7

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  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?

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  12 Solve 5(3𝑏 − 4) = 22 − 6𝑏

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

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  15 I increase £300 by 60%. Then, I increase the new amount by 10%. What percentage of the original amount do I have 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

  If two of the sides of a right-angled triangle are 5 cm and 6 cm long, how many possibilities are there for the length of the third side?

  A: 0 B: 1 C: 2 D: 3

  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

  One of the following is the largest of nine consecutive positive integers whose sum is a perfect square. Which one is it?

  A: 118 B: 128 C: 138 D: 148

  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

  ………………………………

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  ………………………………

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  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.

哈利伯瑞中学Haileybury Year11 Pre-IB数学考试笔试题

  Find the length 𝑃𝑄.

  ………………………………

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