作为英国顶尖的私立男校，汤布里奇公学获得了皇家特许授权，是真正的“皇家特供”。其学术成绩一直声名远扬，每年有大约20名左右的学生被牛津、剑桥大学所录取，因此，越来越多的学生去该校留学，可是，入读私校笔试是重要的考核，下面，小编就为大家带来了汤布里奇公学Tonbridge school 13+数学B卷入学考试笔试题型赏析，希望对大家有所帮助：
Year 9: Specimen B
时间:1小时
总分:100分
说明:
1. 在封面页顶部填写完整的姓名和学校。
2. 所有问题都应在空格内作答。
3.一个完全正确的答案可能没有得分，除非所有的工作都显示出来。
1. (a) Write 45% as a fraction in lowest terms.
Answer: ……………………………….
Answer: ……………………………….
(c) Calculate 30% of $12.50.
Answer: $…….…….………………….
Answer: ……………………………….
2. (a) By first writing each number correct to 1 significant figure, estimate the answer to
Answer: ……………………………….
Answer: ……………………………….
(c) Write 300 as a product of prime factors, using indices.
Answer: ……………………………….
(d) What is the smallest integer by which 300 has to be multiplied by to produce a perfect square ?
Answer: ……………………………….
3. (a) It takes 2 hour 27 minutes to travel from York to London by train. Christopher catches the 11.35 a.m. train from York.
At what time should Christopher arrive in London ?
Answer: ………………………p.m.
(b) A race horse averages 2 miles every 5 minutes. How long will it take the horse to run 26 miles at this rate ?
Answer: …..…... h …..…….… min
(c) How far does a car travel in 35 minutes at 30km/h ?
Answer: ………………………… km
(d) Write 40km/h as a speed in metres per second.
Answer: ………………………. m/s
4. Calculate
(a) the sum of 73.5 and 9.74
Answer: ……………………….
(b) the difference between 84 and 7.7
Answer: ……………………….
(c) the product of 4.3 and 7
Answer: ……………………….
(d) 24 ÷ 0.4
Answer: ……………………….
5. (a) Fully simplify the following:
(i) 2𝑚 + 3𝑚
Answer: ……………………….
(ii) 3𝑦3 x 3𝑦3
Answer: ……………………….
Answer: ……………………….
(b) Multiply out the brackets and fully simplify
2(3𝑝 + 4𝑞) − 6(𝑝 − 2𝑞)
Answer: ……………………….
(c) Factorise completely
9𝑎2 + 27𝑎
Answer: ……………………….
6. (a) Solve the following:
(i) 5𝑎 − 3 = 21 − 𝑎
Answer: a = …………………….
Answer: b = …………………….
(iii) 5𝑐2 = 45
Answer: c = …………………….
Answer: d = …………………….
Answer: e = …………………….
(b) Solve these inequalities:
(i) 𝑛 + 2𝑛 > 9
Answer: …...………………….
(ii) 2(𝑛 − 3) ≤ 6
Answer: ……………………….
7 (a) 60 sweets are to be divided between two people in the ratio of 5:7. How many sweets do each of the two people receive ?
Answers: …………… and ………….
(b) When £143 is divided in the ratio 2:4:5, what is the difference between the largest share and the smallest share ?
Answer: ……………………….
8. Below is a picture of a regular octagon.
Calculate the size of the angles 𝑥, 𝑦 and 𝑧
Answers: 𝑥 = ………….
𝑦 = …… …….
𝑧 = …… …….
(a) 𝑎 + 𝑏
Answer: ……………………….
Answer: ……………………….
Answer: ……………………….
(d) 𝑎𝑏𝑐
Answer: ……………………….
An army patrol drinks 18 litres in a day
How many soldiers are there in the patrol ?
Answer: ……………………….
11. A fair, six-sided dice has faces numbered 1, 2, 3, 4, 5 and 6. When the dice is thrown, the number facing up is the score.
The dice is thrown once.
(a) What is the probability that the score is 1 or 2
Answer: ……………………….
(b) If the dice was thrown 300 times, how many times would a score of 5 be expected?
Answer: ……………………….
12. By first drawing a set of axes, draw the line defined by the equation
𝑦 = 2𝑥 + 5
showing the coordinates where the line intercepts the axes.
13. The following graph is to be drawn
𝑦 = 2𝑥2 − 3𝑥
a) Complete the table
b) By first drawing a set of axes, then plotting appropriate points based on the information in the above table, draw the graph for the values −2 ≤ 𝑥 ≤ 3
14. The wage bill for five builders and six carpenters is £1,340, while the bill for eight builders and three carpenters is £1,220. What wage is paid to each builder?
Answer: ………..………………….
15. A sequence begins:
5 8 11 14 …… …….
(a) Write down a formula for the 𝑛th term
Answer: ………..………………….
(b) Calculate the 25th term
Answer: ………..………………….
(c) Find the value of 𝑛 when the 𝑛th term equals 146
Answer: ………..………………….
(d) Determine the value of the first term which is greater than 1000
Answer: ………..………………….
(a) Write 1 as the sum of three different unit fractions
Answer: ………..………………….
Answer: ………..………………….
(c) Use your answers to (a) and (b) to write 1 as the sum of five different unit fractions
Answer: ………..………………….
以上是关于汤布里奇公学Tonbridge 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!
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