超干货分享 帕克林顿学校Pocklington School year 9数学入学考试题库!

　　英国私校教育一直是教育界的典范，这些私校不仅注重学生的全面发展，而且学术成绩也十分出色，帕克林顿学校就是这么一所顶尖的私立混校，它为学生提供了各种各样的课外活动，而且还10%的学生毕业升入牛剑，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帕克林顿学校Pocklington School year 9数学入学考试题库，希望对大家有所帮助：

　　13+ 数学

　　时间:45分钟

　　计算器是不允许使用的。

　　建议你在所提供的空白处展示你的作品，并在所提供的空白处写下你的答案。

　　使用蓝色或黑色笔。

　　如果你犯了错误，把它划掉，但不要使用tippex。

　　图解没有按比例绘制。

　　1. Calculate the following, showing a clear method where appropriate:

　　a. 4 × (5²- 6 × 2)

　　____________ (2 marks)

　　b. 5471 + 85.1 + 7.16³

　　____________ (2 marks)

　　c. 3.2 × 1.7

　　____________ (2 marks)

　　d. 21.6 ÷ 0.8

　　____________ (2 marks)

　　e. 53 × 2

　　____________ (2 marks)

　　f. 2187 ÷ 9

　　____________ (2 marks)

　　2. Solve the following equations:

　　a. 7𝑦 = 84

　　𝑦 = __________ (1 mark)

　　c. 6𝑥 + 14 = 74

　　𝑥 = __________ (2 marks)

　　d. ℎ² = 144

　　ℎ = __________ ℎ = __________ (2 marks)

　　e. 5(3𝑥 + 1) = 65

　　𝑥 = __________ (3 marks)

　　3. Round the following numbers to the accuracy stated in the brackets:

　　a. 658432 (3 significant figures)

　　__________ (1 mark)

　　b. 0.86701 (1 significant figure)

　　__________ (1 mark)

　　c. 7.95899 (2 decimal places)

　　__________ (1 mark)

　　d. 68.97527 (1 decimal place)

　　__________ (1 mark)

　　4. Simplify these expressions:

　　a. 8𝑥 + 3𝑦 − 6𝑥 + 9𝑦

　　____________________ (2 marks)

　　b. 18 + 6𝑞 − 3𝑝² − 2𝑞 − 5 + 4𝑝²

　　____________________ (2 marks)

　　5. Calculate the following. You must show all your working out. Give your answers as mixed numbers in their simplest form.

　　____________________ (2 marks)

　　6. Expand these brackets and simplify where possible:

　　a. 5(3𝑥 + 2)

　　____________________ (2 marks)

　　b. 2(4𝑥 + 3) − 3(𝑥 + 4)

　　____________________ (3 marks)

　　7. Calculate the size of angle x from the diagram below:

　　8. Last year a brand new house cost £320000.

　　It increases in value by 5% each year.

　　How much will it be worth when it is 1 year old?

　　£_______________________ (2 marks)

　　9. Write these numbers in order with the smallest first.

　　83.247 83.047 80.472 83.147 82.047

　　_________ _________ ________ __________ __________ (2 marks)

　　10. Write down the next 3 terms in each of these sequences:

　　a. 5, 9, 13, 17, 21, _____, _____, _____

　　b. -3, -8, -13, -18, -23, _____, _____, _____

　　c. 1, 3, 6, 10, 15, _____, _____, _____

　　d. 5.3, 6.4, 7.5, 8.6, 9.7, _____, _____, _____

　　11. A car is travelling at 45 miles per hour. It continues at this speed for 3 hours. How far will it travel in this time?

　　____________________ miles (2 marks)

　　11. Here is part of a train timetable from Beverley to London.

　　It shows the time in 24 hour clock, that the trains leave Beverley and arrive in London.

　　Beverley 06:02 …… …… …… …… …… ……

　　Hull 06:26 08:23 10:30 12:33 15:13 17:10 19:11

　　Brough 06:38 08:36 10:43 12:45 15:25 17:22 19:23

　　Howden 06:49 08:47 10:56 12:56 15:36 17:35 19:34

　　Selby 07:00 09:01 11:06 13:06 15:47 17:45 19:45

　　Doncaster 07:21 09:25 11:25 13:25 16:05 18:03 20:03

　　Retford 07:40 09:39 11:39 13:39 16:19 18:17 20:17

　　Grantham 08:03 10:01 12:01 14:01 16:40 18:39 20:40

　　Stevenage …… …… …… …… …… …… ……

　　London 09:13 11:10 13:07 15:10 17:45 19:45 21:46

　　a. Jenny wants to arrive in London by 12:00 and she gets the latest train possible.

　　She arrives at Hull train station at 08:15.

　　How long will she have to wait at Hull train station?

　　____________________ minutes (2 marks)

　　b. How long does the 06:02 train take to get to London?

　　_________ hours and ______ minutes (1 mark)

　　c. Jake arrives at Selby station at 19:32. He gets the next train to London.

　　How long will this train take to get to London?

　　_________ hours and ______ minutes (2 marks)

　　12. Look at the shapes below and draw on any lines of symmetry with a ruler.

　　13. Share $270 in the ratio 2:7

　　£ _____ £______ (2 marks)

　　14. Write these fractions as decimals:

　　15.

　　Calculate answers to the following expressions, when 𝑎 = 4, 𝑏 = −3 and 𝑐 = 2.

　　a. 4𝑏𝑐 + 2𝑎²

　　__________ (3 marks)

　　b. (𝑐 + 𝑏)²

　　__________ ( 2 marks)

　　16.

　　a. Find the area of the shape below. Show all your working out and state the units of your answer.

　　________________ _____ (4 marks)

　　b. Find the perimeter of this shape.

　　____________________ cm (2 marks)

　　17. Below is a table showing the cost of stamps.

　　a. Write down the cost of posting an envelope weighing 55 grams to the USA.

　　£____________________ (1 mark)

　　b. Calculate the cost of sending two envelopes weighing 120 grams each in Britain.

　　£____________________ (2 marks)

　　18. 20 children were asked hour many hours per week they spent watching television.

　　These are the results:

　　5 7 4 3 6 5 5 2 4

　　6 7 2 5 4 4 3 7 6

　　Complete the tally chart showing the number of hours of television watched by this group of children.

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