纯干货分享 2025年国王学院学校King's College School Year7数学入学考试笔试真题!

　　作为英国一所顶尖的私立混校，国王学院学校创建于1829年，距今已将近200年的历史，该校是毕业生进入牛津、剑桥最多的学校之一，每年大约有三分之一的毕业生被牛津、剑桥录取，约8%的学生被美国顶尖大学如哈佛、斯坦福等录取，因此，越来越多的学生去该校留学，可是入读私校笔试是必不可少的考试，下面，小编就为大家带来了2025年国王学院学校King's College School Year7数学入学考试笔试真题，希望对大家有所帮助：

　　数学笔试

　　50分钟

　　完成Section A and Section B

　　SECTION A

　　建议您在这部分花费大约20分钟。

　　1. 把你们所有的书面作业都写在这张考卷上。

　　2. 不得使用计算器。

　　3.试答A部分的所有问题。

　　1. Find the sum of 337 and 765.

　　2. Find the difference between 9347 and 2985.

　　3. Write £87 to the nearest £5.

　　4. Write 3284mm in metres.

　　5. What is the value of the 6 in the decimal 0.264?

　　7. Find the mean average of 8, 11, 15, 26.

　　8. How many thousands are there in one million?

　　10.Add half a million to fifty thousand.

　　11. How much is three-sevenths of 196?

　　12. Give all numbers which are factors of both 32 and 24.

　　14. If you are facing South, what is the smaller angle you have to turn through to face North-East?

　　15. Find 4% of £5300.

　　16. If it is -26.5°C in Canada and 34.5°C in Australia, what is the difference in temperature?

　　17. A train leaves Waterloo at 11.35 and arrives in Portsmouth after one hour and thirty-eight minutes. When does it arrive?

　　18. What is the smallest number that 2, 3, 6, 10 will all go into exactly?

　　20. Find the greatest number of 28p stamps which can be bought for £5.

　　SECTION B

　　建议您在这部分花费大约30分钟。

　　1. 把你们所有的书面作业都写在这张考卷上。

　　2. 不得使用计算器。

　　3.尝试B部分的所有问题。

　　(i) Work out 273 x 23.

　　(ii) Work out 595 ÷ 17.

　　(iii) Write down two multiples of 2001.

　　(iv) Write down two factors of 2001.

　　(v) Find the cost of 31 litres of petrol at 81p per litre.

　　(vi) In a ‘third off’ sale a bike is sold for £114. How much would it have sold for before the sale?

　　QUESTION 2

　　(i) In 25 minutes, through what angle does the minute hand of a clock pass?

　　(ii) In the diagram AB is a straight line. Calculate the value of angle aº.

　　(iii) A square has a perimeter of 96cm.

　　(a) Calculate the length of one side.

　　(b) Find the area of the square.

　　(c) Give a sketch, not to scale, of a rectangle, showing the length of its sides, which has the same area as the square.

　　(d) Find the perimeter of your rectangle.

　　QUESTION 3

　　The pie chart shows the favourite colour of some boys.

　　(a) Calculate the value of x.

　　Red is the favourite colour of 126 boys.

　　(b) Calculate the number of boys whose favourite colour is:

　　(i) green.

　　(ii) yellow.

　　(iii) not blue.

　　(c) Calculate the total number of boys.

　　QUESTION 4

　　Here is a pattern of numbers.

　　Row 1: 1 + 2² = 5

　　Row 2: 2 + 3² = 11

　　Row 3: 3 + 4² = 19

　　(a) Write out the next two rows.

　　Answer:      Row 4:

　　Answer:      Row 5:

　　(b) Write out Row 9.

　　Answer:      Row 9:

　　(c) Write out Row 49.

　　Answer:      Row 49:

　　(d) Find the row which ends 419.

　　(e) What is the general rule to describe each row if you call the row number n ?

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