作为英国顶尖的私立混校，哈里伯瑞学院为11-18岁之间的学生提供全面的教育，该校的教学成绩十分显著，其IB成绩常年稳居全英前20名，因此，越来越多的学生去该校留学，可是，入读私校笔试是必经的过程，下面，小编就为大家带来了哈里伯瑞学院Haileybury College 16+数学入学考试笔试题型大赏析，希望对大家有所帮助：
Mathematics
Entrance exam for: 16+ (Sample)
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。
本试卷适用于所有Sixth Form考生。因此它被分成两个难度逐渐增加的部分。
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 873 + 148
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2 Calculate 435 × 7
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5 Find the value of 4−2
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7 Solve 2𝑥 + 7 = 11
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10 Solve 4𝑛 − 1 ≤ 8
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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 A line parallel to 𝑦 = 4𝑥 + 1 passes through the point (0, -5). What is its equation?
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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 of the following equations is most likely to be shown in the graph below?
A: 𝑦 = (𝑥 + 3)(𝑥 + 1)
C: 𝑦 = (𝑥 − 3)(𝑥 + 1)
B: 𝑦 = (𝑥 + 3)(𝑥 − 1)
D: 𝑦 = (𝑥 − 3)(𝑥 − 1)
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. Which of the following lines does the point (3, -6) lie on?
A: 𝑦 = 𝑥 + 8 B: 𝑦 = 𝑥 − 9 C: 𝑦 = 2𝑥 + 4 D: 𝑦 = 3𝑥
4Write
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
6 Solve the following pairs of simultaneous equations
2𝑥 − 𝑦 = −2
𝑦 = 2𝑥2 − 3𝑥 − 10
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7 (a) Show that
………………………………
(b) Hence, or otherwise, solve
………………………………
8 Two positive numbers are 10 and 𝑥.
(a) The mean of 10 and 𝑥 is 30% less than one of the numbers.
Find the 2 possible values of 𝑥.
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(b) In each case, by what percentage is the mean greater than the lower number?
………………………………
10 The square, circle and triangle are stacked inside a larger square.
The area of the smaller square is 100 cm2.
The area of the triangle is 24 cm2.
The area of the circle is 𝑎𝜋, where 𝑎 is an integer. Find 𝑎.
………………………………
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