超干货分享 惠特吉夫特学校Whitgift School Year7数学入学考试笔试题!

　　作为英国顶尖的私立男校，惠特吉夫特学校是私立男校教育的典范，该校非常注重学生综合能力的培养，还十分关注学生的学术成绩，每年的牛剑升学率达到了7%。80%的学生都在毕业后进入到罗素集团大学继续学业，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惠特吉夫特学校Whitgift School Year7数学入学考试笔试题，希望对大家有所帮助：

　　11+数学

　　入学考试大纲

　　10岁以上-男孩应该在国家课程的第4级学习。考试主题包括:

　　•整数的数位

　　•四个基本运算(+，-，×， ÷)适用于整数，但不包括长除法

　　•简单的分数，百分比和小数，包括它们在实际情况下的使用

　　•平方、因数、倍数、可除性和质数

　　•涉及时间、距离和速度的计算

　　•简单的比例和比例概念

　　•数字序列和其他简单的模式

　　•形状的一致性，角度测量，圆规和量角器的使用

　　•简单形状的周长、面积和体积

　　•12小时制和24小时制

　　条形图和折线图

　　•二维形状的反射和旋转对称

　　11岁以上-男孩应在国家课程的第5级学习。除上述主题外，研究的主题还包括:

　　•在上下文中，加减法和使用负数

　　•适用于小数的四种基本运算，包括长除整数三角形的面积

　　•估计日常情况中使用的测量方法

　　•离散数据集的平均值

　　•饼图

　　•简单概率

　　不包括形式代数

　　下面的问题是在过去的入学考试中设置的，选择这些问题是为了演示测试基本技能和对简单概念的理解的方法。一篇完整的论文由大约25个问题组成，需要在1小时内回答。其中三分之二的问题都很简单明了，剩下的我们希望考生能乐于尝试找出一些答案。

　　不允许使用计算器。每道题的分数线将显示在题末的括号内。

　　试卷为问答结合试卷;所有作业都应在所提供的空格内显示，(相关的)答案应写在虚线上。前四个问题给出了一个关于这种布局的例子。

　　1. Multiply 4321 by 7

　　…………………………………(2)

　　2. Subtract 867 from 1024

　　…………………………………(2)

　　3. Write down the next two numbers in each of these sequences:

　　a) 4, 7, 10, 13, 16, ..........., .............

　　b) 57, 46, 35, 24, ..........., .............

　　c) 3.25, 4, 4.75, 5.5, 6.25, ..........., .............

　　4. What fraction of the diagram below is shaded?

　　a) Write your answer as simply as possible

　　................................. (1)

　　b) Now shade in more triangles until three-quarters of the picture is shaded. (1)

　　5. A football crowd is made up of 24,000 people. 30% of them are away supporters. How many away supporters are in the crowd?

　　6. How many tenths are there in 3½?

　　7. How many hours are there in one week?

　　8. What is three-fifths of 1800?

　　9. Write the following numbers in order from smallest to largest

　　4.32, 4.03, 4.3, 3.4, 3.94

　　10. A plane leaves London Heathrow Airport at 16:30 and takes 5¾ hours on its journey. At what time does it arrive?

　　11. (a) Express 74km in metres (b) Express 3200 cm in metres

　　12. I used my calculator to work out (31×9)÷52. Before doing so I worked out in my head that the answer should be about 6. What simple calculations did I do in my head?

　　13. What percentage is 15p out of £3.00?

　　14. Complete the diagrams below to make each shape symmetrical about the mirror line.

　　15. Sarah jogs at a speed of 3 metres per second. How far does she jog in 15 minutes?

　　16. Write each of these amounts to the nearest hundred pounds:

　　(a) £675 (b) £2,945 (c) £90,095

　　17. Ravi has 32 sweets. He eats 24 of them. What fraction of the sweets has he eaten? Write your answer in its simplest form.

　　18. The bar chart below shows the marks out of 10 obtained by some pupils in a test.

　　19. To cook a joint of meat, you leave it in the oven for 30 minutes for every kilogram it weighs plus 20 minutes extra. Find how long you would cook a joint weighing:

　　(a) 2 kg (b) 3½ kg

　　20. To go and watch a film at the cinema, the tickets cost £3 each for a child and £7 each for an adult. I was charged £51 for all of the tickets I bought.

　　a) Did I buy more than 7 adult tickets?

　　b) If there were more adult tickets than child tickets, how many of each did I buy?

　　c) If there were more child tickets than adult tickets, how many of each did I buy?

　　21. Find the perimeter and area of this shape. It is not drawn to scale.

　　22. Write down in rising order of size all the 3-digit numbers which can be formed by using the digits 7,8 and 9 once each. The first is 789.

　　23. Here is a numbers game. There are two numbers which are first added together and then multiplied together. Fill in the gaps in the table (the first row is done for you)。

　　Additional questions for 11+

　　24. There are 40 coloured counters in a box. Half of them are red, one-fifth are yellow and the rest are green.

　　a) How many are green?

　　b) If I shake the box and then pick out one counter at random, what is the probability that it is green. (give your answer as a fraction in its simplest form)

　　25. Complete the blanks

　　a) 6 × ……………………= £9.60 b) …………… ÷ 8 = 1.05cm

　　26. Calculate 12321 ÷ 37

　　27. In January, the average temperature in Oslo (Norway) is -4.3℃. The average temperature in Lisbon (Portugal) is 16oC warmer than it is in Oslo. What is the average temperature in Lisbon?

　　28. The area of a triangle is 54 cm² and it has a base length of 12cm.

　　What is the height of the triangle?

　　29. The favourite sports of a group of 100 boys are shown in the table below. Calculate the missing number and draw a pie chart to illustrate this information.

　　答案- 10+和11+样题

　　1. 30247

　　2. 157

　　3. a) 19, 22

　　b) 13, 2

　　c) 7, 7.75

　　5. 7200

　　6. 35

　　7. 168

　　8. 1080

　　9. Smallest 3.4, 3.94, 4.03, 4.3, 4.32

　　10. 22.15

　　11. a) 74000m

　　b) 32m

　　12. 30 × 10 = 300 and then 300 ÷ 50 = 6

　　13. 5%

　　14.

　　15. 2700m or 2.7km

　　16. a) £700

　　b) £2900

　　c) £90,100

　　18. a)

　　b) 5 was the most common mark

　　c) 5 students scored 6 marks

　　d) 29

　　19. a) 1 hour 20 minutes or 80 minutes

　　b) 2 hours 5 minutes or 125 minutes

　　20. a) No, because 7 adult tickets cost £49

　　b) 6 adults and 3 children

　　c) 3 adults and 10 children

　　21. 56cm and 118𝑐𝑚²

　　22. 789, 798, 879, 897, 978, 987

　　23.

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