英国私校教育堪称教育界的典范，这些私校都是英国王室、贵族的钟情学校，可是，入读私校并非有钱就能进，有非常严格的考核标准，有的院校有自己的入学考试，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 14+数学入学考试笔试题型，希望对大家有所帮助：
Mathematics
Entrance exam for: 14+ (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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6 Find the value of 25
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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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11 Factorise 𝑥2 + 2𝑥 – 15
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12 Solve 5(3𝑥 − 4) = 10𝑥 + 5
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13 Expand and simplify 5(4𝑦 + 5) + 3(5𝑦 − 1)
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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.
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.What is the value of the missing digit?
4714 × 28 = 1319 ? 2
A: 4 B: 6 C: 2 D: 9
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.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
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 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.
(a) What is the total distance travelled?
………………………………
(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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