众所周知，英国私校并非有钱就能进，大多数的私校有严格的考核标准，学生要先进行笔试，接着面试、访校等一系列的申请，其中笔试有的学生采用通用的考试局，有的则有自己的考试，哈里伯瑞学院就是其中之一，下面，小编就为大家带来了哈里伯瑞学院Haileybury College 15+IB预测试数学入学考试笔试题型，希望对大家有所帮助：
Mathematics
Entrance exam for: Pre-IB (Sample)
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
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2 Calculate 20 − 2 × 5 − 7
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5 Calculate 435 × 7
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7 Find the value of 4−2
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8 Solve 2𝑥 + 7 = 11
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9 Solve 3(𝑥 − 4) = 12
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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?
………………………………
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12 Solve 5(3𝑏 − 4) = 22 − 6𝑏
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13 Expand and simplify 5(4𝑦 + 5) − 3(5𝑦 − 1)
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15 I increase £300 by 60%. Then, I increase the new amount by 10%. What percentage of the original amount do I have now?
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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.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
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
4.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
5.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
对于下面的问题，你应该清楚地展示你所有的工作。
没有做题的正确答案不能得满分。
6 Solve the following pairs of simultaneous equations
2𝑥 + 3𝑦 = 10
5𝑥 − 𝑦 = −9
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7 Solve 3𝑛 + 2 ≤ 4𝑛 − 5
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8 Work out the length of 𝑥, giving your answer as a surd in its simplest form.
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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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