作为英国顶尖的私立混校，国王学院学校的学术成绩十分优异，每年有多名毕业生升读牛剑，并且为社会培养了很多优秀的杰出人才，比如小说家Charles Kingsley、画家Walter Sickert、演员John Barrymore……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2025年国王学院学校King’s College School Year9数学预试样本笔试题，希望对大家有所帮助：
数学
50分钟
完成A部分和B部分
SECTION A
本节建议使用20分钟左右的时间。
1. 把你所有的书面作业都写在这张试卷上。
2. 不得使用计算器。
3.尝试A部分的所有问题。
1. Find the sum of 337 and 765
Answer:_______________________
2. Find the difference between 9347 and 2985.
Answer:_______________________
3. Write £87 to the nearest £5.
Answer:_______________________
4. Write 3284mm in metres.
Answer:_______________________
5. What is the value of the 6 in the decimal 0.264?
Answer:_______________________
7. Find the mean average of 8, 11, 15, 26.
Answer:_______________________
8. How many thousands are there in one million?
Answer:_______________________
10.Add half a million to fifty thousand.
Answer:_______________________
11. How much is three-sevenths of 196?
Answer:_______________________
12. Give all numbers which are factors of both 32 and 24.
Answer:_______________________
14. If you are facing South, what is the smaller angle you have to turn through to face North-East?
Answer:_______________________
15. Find 4% of £5300.
Answer:_______________________
16. If it is -26.5°C in Canada and 34.5°C in Australia, what is the difference in temperature?
Answer:_______________________
17. A train leaves Waterloo at 11.35 and arrives in Portsmouth after one hour and thirty-eight minutes. When does it arrive?
Answer:_______________________
18. What is the smallest number that 2, 3, 6, 10 will all go into exactly?
Answer:_______________________
20. Find the greatest number of 28p stamps which can be bought for £5.
Answer:_______________________
SECTION B
本节建议使用30分钟左右的时间。
1. 把你所有的书面作业都写在这张试卷上。
2. 不得使用计算器。
3.尝试B部分的所有问题。
QUESTION 1
(i) Work out 273 x 23.
Answer:_______________________
(ii) Work out 595 ÷ 17.
Answer:_______________________
(iii) Write down two multiples of 2001.
Answer:_______________________
(iv) Write down two factors of 2001.
Answer:_______________________
(v) Find the cost of 31 litres of petrol at 81p per litre.
Answer:_______________________
(vi) In a ‘third off’ sale a bike is sold for £114.
How much would it have sold for before the sale?
Answer:_______________________
QUESTION 2
(i) In 25 minutes, through what angle does the minute hand of a clock pass?
Answer:_______________________
(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.
Answer: length =_______________________
(b) Find the area of the square.
Answer: area =_______________________
(c) Give a sketch, not to scale, of a rectangle, showing the length of its sides, which has the same area as the square.
Answer: length =_______________________
(d) Find the perimeter of your rectangle.
Answer: perimeter =_______________________
QUESTION 3
The pie chart shows the favourite colour of some boys.
(a) Calculate the value of x.
Answer:_______________________
Red is the favourite colour of 126 boys.
(b) Calculate the number of boys whose favourite colour is:
(i) green.
Answer:_______________________
(ii) yellow
Answer:_______________________
(iii) not blue.
Answer:_______________________
(c) Calculate the total number of boys
Answer:_______________________
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.
Answer:_______________________
(e) What is the general rule to describe each row if you call the row number n ?
Answer:_______________________
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