温切斯特公学Winchester College 13+数学入学考试笔试题型赏析 赶紧来做题吧!

　　作为英国九大公学之一，温切斯特公学是英国顶尖的私立学校，该校的学术成绩十分优异，每年有99%的学生升读大学，其中37%的学生升读牛剑，并且该校还为学生提供了丰富多彩的课余活动，因此，越来越多的学生去该校留学，可是，入读私校笔试是必经的一项，下面，小编就为大家带来了温切斯特公学Winchester College 13+数学入学考试笔试题型，希望对大家有所帮助：

　　数学I(样本笔试)

　　允许时间:1小时30分钟

　　总分:100分

　　不允许使用计算器。

　　把你的答案写在这个小册子上。如果您需要额外的空间，请写在A4纸上，并附在这本小册子上。你可以用铅笔画图表。你应该展示你所有的作业，这样部分正确的答案就可以得到学分。

　　如果你没有完成，也不要气馁。如果你得到60分以上，你就做得很好了。

　　1. Complete:

　　a)7×13 =

　　c)4321+(9753−4321) =

　　d)1×111+2×111+4×111 =

　　2.

　　b) Find 68% of £25

　　c) Find 0.05 of £440

　　d) Evaluate 8-6×(-2)-6×18÷(-3)

　　e) Evaluate 1010+1001×1009-1000×1009

　　3. Find in the simplest form:

　　4. a)p = 3 , q =12 and r =−5 .

　　b)2(x+3)-(x-5)+4(x+2)=119. Find x.

　　5. a) The diagram below shows a regular decagon (ten equal sides with ten equal interior angles). Write down the value of x.

　　b) The diagram below shows a regular hexagon and a regular pentagon (which share a side). Find the value of b.

　　c) The diagram below shows a regular nonagon (nine sides), an equilateral triangle and part of a regular polygon (dotted) with n sides. Find n.

　　6.

　　b)10^a×10^b = 10⁷

　　10^a÷10^b  = 10³

　　Find the value of ab.

　　d) By writing 2020 as a product of prime factors, find a three-digit number n for which 2020n is a square number.

　　7. a)

　　(i) Complete the table above.

　　(ii) Strip pattern k is 90% shaded. Find k.

　　b) Complete the table below (a match is one side of a small square).

　　c) Find a formula for the number of matches in trapezium pattern n (a match is one side of a small equilateral triangle).

　　d) Frank makes a rectangle pattern, using all the matches he has. He then rearranges these matches into a trapezium pattern and has no matches left. Find three possible values for the number of matches Frank started with.

　　8. a) Alice, Brenda and Clara share a pile of buttons in the ratio 7 :12: 21 . Clara gets ten more buttons than Alice and Brenda put together. How many buttons were in the pile?

　　b) Derek, Ethan, Fynn and Gerald share a big pile of sweets. Derek, Ethan and Fynn now have sweets in the ratio1: 4 : 6, and Ethan, Fynn and Gerald have sweets in the ratio 6 : 9 : 2. Derek and Gerald have 35 sweets between them. How many sweets does Gerald have?

　　c) Harriet and Imogen share sweets in the ratio 1: 2. Imogen gives Harriet 42 sweets. The sweets are now shared between Harriet and Imogen in the ratio 5: 4. How many sweets did they share?

　　9. a) In the diagram below AB=AC=AD , KA=KB=KC, KA is parallel to CL, and BKD is a

　　straight line.

　　Angle BAC = 54°. Find x and y.

　　b) ABCD is a rhombus and KLC is an equilateral triangle. The lengths of the sides of KLC are the same as the lengths of the sides of ABCD. Find z.

　　10. a) Find the shaded area in the diagram on the right.

　　b) The vertices of a triangle ABC are A(0, 0), B(8, 10) and C(12, k).

　　The area of the triangle ABC is 34.

　　(i) Plot the points A and B on the diagram.

　　(ii) Find the value of k, given that 0<10<k

　　(The height of point C in the diagram is not to scale.)

　　11. The diagram below shows a house comprising a cuboid and a pyramid. EDZ is a straight line. WX=12 , EB=17 , BC =9 and BX=10 . Find the volume of the house.

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