哈利伯瑞中学Haileybury Year9数学入学考试笔试题 超干货请收藏!

　　作为一所顶尖的私立混校，哈利伯瑞中学创建于1862年，距今已有160多年的历史，该校不仅为学生提供了精彩的课外活动，还拥有超高的学术成绩，每年有大约20%左右的学生升读牛津、剑桥等名校，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 Year9数学入学考试笔试题，希望对大家有所帮助：

　　数学

　　入学考试:11+/13+(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

　　●请把你的答案写在试卷上，并在相关的地方写在指定的地方。

　　●你不能使用计算器。

　　A部分(20分)

　　A部分旨在测试核心技能和理解力。A部分的所有问题都是1分。

　　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

　　All questions are worth 1 mark

　　Write your answers down the right-hand side

　　1 Calculate 12 × 12.

　　2 What is the value of the digit 5 in the number 82539?

　　3 How many metres is 5600 mm?

　　4 How many faces does a triangular based pyramid have?

　　5 Calculate 96 ÷ 8.

　　6 At the bakers, iced buns cost 80p and cinnamon rolls cost £1.10. How much do 2 iced buns and 1 cinnamon roll cost?

　　7 A netball match starts at 10.20 am. It has 4 quarters lasting 12 minutes each and there is a break of 4 minutes between each quarter. At what time does it end?

　　8 Calculate 15 − 3 × 4

　　9 Calculate 100 − 17

　　10 Calculate (−4)^₂

　　11 Calculate 0.034 + 5.62

　　13 Solve 𝑥 + 7 = 11

　　14 Solve 5𝑥 − 2 = 1

　　15 What fraction of the strip is not shaded?

　　16 Write 0.6 as a fraction in its simplest terms.

　　17 What temperature is 28℃ less than 10℃?

　　18 5 cm on a map represents 2 km on the ground. What is the distance on the ground of two villages what are 15 cm apart on the map?

　　19 What is the area of a triangle with base 10 cm and height 6 cm?

　　20 I think of a number, add 3, multiply by 5 and subtract 27. The result is 28. What number did I start with?

　　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 has the same remainder when it is divided by 2 as when it is divided by 3?

　　A: 3 B: 5 C: 7 D: 9 E: 11

　　Which of the following numbers is closest to 1?

　　A: 0.088 B: 0.72 C: 1.3 D: 0.0093 E: 1.21

　　Which of the following is divisible by all of the integers from 1 to 10 inclusive?

　　A: 23 × 24 B: 34 × 45 C: 45 × 56 D: 56 × 67 E: 67 × 78

　　For the following questions you should show all of your working clearly.

　　Correct answers without working may not receive full marks.

　　Jess's scores on her maths tests are 7, 11, 10, 2, 12 and 6. What is her mean (average) score?

　　8 A man cycles uphill for 6 km at 6 km/h.

　　He then cycles along 18 km of flat at 12 km/h.

　　Finally, he heads downhill for 20 km at 15 km/h.

　　Find the time taken for the whole journey, give your answer in hours and minutes.

　　………………………………

　　9 When painting the lounge, I used half a 3 litre can to complete the first coat of paint. I then used two thirds of what was left to complete the second coat.

　　How much paint was left after both coats were complete?

　　10 (a) Write an expression for the perimeter of the rectangle below。

　　The perimeter of the rectangle is measured as 34 m.

　　(b) Find the area of the rectangle.

　　11 The diagram shows a square inside an equilateral triangle. What is the value of 𝑥 + 𝑦?

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