哈利伯瑞中学Year12入学考试数学笔试真题分享!

哈利伯瑞中学Year12数学笔试真题来咯！哈利伯瑞中学作为英国顶尖私立中学之一，是很多低龄留学家庭的首选。但哈利伯瑞中学申请者通常需要在面试前参加入学考试。国内学生常报考的是Year12入学考试，而数学是该考试的必考科目之一。接下来随小编来看看哈利伯瑞中学Year12数学科目都考什么题型吧。

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。

本试卷适用于所有中六考生。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。

哈利伯瑞中学Year12入学考试数学笔试真题：

Section A

Each of the following questions are worth 1 mark

Write your answers down the right-hand side

1 Calculate 873 + 148

2 Calculate 435 × 7

5 Find the value of 4⁻²

7 Solve 2? + 7 = 11

10 Solve 4? − 1 ≤ 8

12 Solve 5(3? − 4) = 22 − 6?

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

15 A line parallel to ? = 4? + 1 passes through the point (0, -5). What is its equation?

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 of the following equations is most likely to be shown in the graph below?

A: ? = (? + 3)(? + 1)

C: ? = (? − 3)(? + 1)

B: ? = (? + 3)(? − 1)

D: ? = (? − 3)(? − 1)

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

Which of the following lines does the point (3, -6) lie on?

A: ? = ? + 8 B: ? = ? − 9 C: ? = 2? + 4 D: ? = 3?

Write

?² + 4? + 3

In the form

(? + ?)² + ?

A: (? + 2)² − 4

B: (? + 2)² − 3

C: (? + 2)² − 1

D: (? + 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

6 Solve the following pairs of simultaneous equations

2? − ? = −2

? = 2?² − 3? − 10

………………………………

7 (a) Show that

………………………………

(b) Hence, or otherwise, solve

………………………………

8 Two positive numbers are 10 and ?.

(a) The mean of 10 and ? is 30% less than one of the numbers. Find the 2 possible values of ?.

………………………………

(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 ??, where ? is an integer. Find ?.

………………………………

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