作为IB课程的顶尖私校，七橡树中学是英国最古老的寄宿制学校之一，该校曾多年蝉联英国IB学校成绩榜首，连续两年被评为英国独立学校中前十，如此强大的学术成绩之下，自然吸引了无数学子前来求学，可是入读私校要经过笔试，下面，小编就为大家带来了七橡树中学Sevenoaks school 13+数学入学考试题型，希望对大家有所帮助：
13+数学入学考试
时间:1小时
所需设备:钢笔，铅笔，橡皮擦。
考生须知:
1. 不允许使用计算器、字典、尺子和量角器。
2. 在这一页上写上你的名字和学校。
3.把你的答案写在答题纸上的空白处。
4. 试卷上有20道题。试着回答所有的问题，但如果你没有完成试卷也不用担心。如果你被卡住了，就继续做下一个问题，如果最后有时间，再回到你离开的问题上。
5. 这篇笔试共有60分。每道题的分数是问题后用方括号[]表示。
6. 展示你所有的工作。即使你的最终答案是错误的，你也可能因为正确的计算而得分，而没有正确计算的正确答案可能不会得到满分。
______________________
2. Simplify 8𝑥 − 4𝑥2 − 5𝑥 − 4𝑥2
______________________
3. Simplify:
a. 𝑎6 ÷ 𝑎3
_____________________
b. 2𝑥4𝑦2 × 5𝑦3
______________________
4. Expand and simplify:
a. 9𝑚𝑛− 𝑛(3 − 7𝑚)
______________________
______________________
b. Is your answer in part (a) larger or smaller than the actual answer, you must justify your decision.
__________________________________________________________________________________
__________________________________________________________________________________
6. Complete the missing numbers in each of the function diagrams below.
7. Given that 𝑝 = −2 and 𝑞= 25. Find the value of
𝑝2𝑞 − (5𝑝)2
______________________
8. The cost of petrol is £1.20 per litre. Alice buys £48 worth of petrol.
a. How many litres of petrol doe she buy?
______________________
b. Alice can drive 8.5km for every litre of petrol. How many km can she drive using the petrol she bought?
______________________
9. A jar contains 60 jelly beans. If 35% of the jelly beans are removed, how many remain in the jar?
______________________
10. In a mathematics competition, the winner won £100 more than twice the amount won by the runner-up. The total winnings were £2350. Let the amount won by the runner-up be 𝑟.
Form an equation in 𝑟 for this information and solve it to find out how much the winner received.
______________________
11. The grid below contains numbers where all rows, columns and diagonals have the same product.
Complete the grid.
12. A sports club has 65 men and 35 women as members. A new activity has just begun and 50 new members have joined. Given that the number of men is now 60% of the total members, how many of the 50 new members were women?
______________________
13. A rectangle is 50cm long and 40cm wide. Its length is extended by 12% and its width is reduced by 15%.
a. Does the perimeter of the rectangle change? Justify your answer.
______________________
b. Does the area of the rectangle change? Justify your answer.
______________________
14. Tasha scored an average of 78% across three of her five exams this year.
She wants to score 85% minimum this year.
What is the lowest score she can gain in her fourth exam to achieve her desired goal?
______________________
15. Find the angles 𝑥 and 𝑦 in this diagram.
______________________
16. Nadia visits a restaurant every five days. She visited the restaurant on Sunday 1 January 2017.
What is the date of her next Sunday visit?
______________________
17. A sequence is formed by
1 × 22, 2 × 32, 3 × 42, …
a. Find the next two terms of the sequence
______________________
b. Work out the 10th term of the sequence
______________________
18. The prices of two items 𝑃 and 𝑄 in a shop are in the ratio of 4: 5. When the price of 𝑃 is increased by £12 and the price of 𝑄 is reduced by £6, then the items have the same price. Find the original price of 𝑃.
______________________
19. A measuring cylinder with diameter 5cm is partially filled with water. When a stone is placed in the cylinder, as shown, the water level rises by 3cm.
Find the volume of the stone in terms of 𝜋
______________________
20. Given the values,
Then write these numbers in ascending order.
______________________
以上是关于七橡树中学Sevenoaks school 13+数学入学考试的相关问题，总体来讲，低龄留学已成为了一种趋势，毕竟年龄越小，进入名校的机率越大。顶试留学是一所专注于英国低龄留学实行境内外一站式服务的机构，像留学选校、寻找寄宿家庭、寄宿生活、UKiset考试培训等提供全方位的留学咨询。在此，顶试留学预祝准留学生们都能学业有成!
想要获得已经就读该校的中国学生和家长关于学校的一手信息及评价？
扫码或长按添加微信
或者拨打电话进行咨询：
021-62110340
18217224528
点击“微信咨询”按钮
打开图示并自动复制微信ID“DSEdu1994”
打开微信，点击“添加朋友”，粘贴微信号并添加。
