干货收藏 莱斯特女子中学Leicester High School for Girls year9数学入学考试题库!

　　英国单性别学校是英国私校教育的特色，这些单性别学校针对性更强，针对男孩和女孩的心理特点、思维方式来开设课程，英国私立女校除了平常的专业文化课程之外，更多精力会投入到舞蹈、音乐等适合女生气质的课程，莱斯特女子中学就是其中一所顶尖的私立女校，可是入读私校要经过笔试，下面，小编就为大家带来了莱斯特女子中学Leicester High School for Girls year9数学入学考试题库，希望对大家有所帮助：

　　数学

　　时间:1小时

　　你将需要一把尺子，但你不能使用计算器。

　　尽可能多地回答问题。把你的答案写在所提供的空白处，并清楚地展示你所有的工作。

　　1. (a) Calculate 9 × 28

　　(b) What is 27 × 28?

　　You can use part (a) to help you.

　　(c) 600 ÷ 24 = 25

　　Fill in the gap

　　600 ÷ ............. = 50

　　2. Write the four fractions below in order of size, smallest first

　　3.

　　(a) I am thinking of a number.

　　My number is a multiple of 4

　　Tick the true statement below

　　Explain how you know.

　　(b) I am thinking of a different number.

　　My number is a factor of 20

　　Tick the true statement below.

　　Explain how you know.

　　4. Three different types of woodpecker live in Britain.

　　The pictogram shows information about the numbers of each type.

　　(a) Complete the table below to show the percentages of each type of woodpecker.

　　(b) The ratio of type A : type B woodpeckers is 6 : 1

　　What is the ratio of type B : type C woodpeckers?

　　5. Screenwash is used to clean car windows.

　　To use Screenwash you mix it with water.

　　(a) In winter, how much water should I mix with 150ml of Screenwash?

　　.......................... ml

　　(b) In summer, how much Screenwash should I mix with 450ml of water?

　　.......................... ml

　　(c) Is this statement correct?

　　6. (a) A glass holds 225 ml.

　　An adult needs about 1.8 litres of water each day to stay healthy.

　　How many glasses is that?

　　Show your working.

　　(b) An adult weighs 80 kg.

　　60% of his total mass is water.

　　What is the mass of this water?

　　........................................................................................................kg

　　7. Look at the three expressions below.

　　When k = 6, what is the value of each expression?

　　3k. =........................ 4(k+2) = ..................... k2 =...........................

　　When k = -10, what is the value of each expression?

　　3k =......................... 4(k+2) = ...................... k2 =.........................

　　(b) Multiply out the brackets and simplify this expression

　　4 ( x + 2 ) - 5 ( x – 3 )

　　10. Solve these equations.

　　(a) 3y + 1 = 16

　　(b) 18 = 4k + 6

　　(c) 3p + 14 = 5p + 1

　　(d) 2(2n + 5) = 12

　　11. Here is a rectangle.

　　(a) A square has the same area as this rectangle.

　　What is the side length of this square?

　　(b) A different square has the same perimeter as this rectangle.

　　What is the side length of this square?

　　12. (a) In a magazine there are three adverts on the same page.

　　In total, what fraction of the page do the three adverts use? Show your working.

　　13. (a) Look at these three numbers.

　　Show that the mean of the three numbers is 10

　　Explain why the median of the three numbers is 10

　　(b) Four numbers have a mean of 10 and a median of 10, but none of the numbers is 10

　　What could the four numbers be?

　　Give an example.

　　14. Wine gums are sweets that are made in different colours.

　　Pupils tested whether people can taste the difference between black wine gums and other wine gums.

　　The percentage bar charts show three pupils’ results.

　　(a) Complete the table.

　　(b) Explain why Tina’s results are likely to be more reliable than Ravi’s or Sita’s.

　　15. There are high mountains in Nepal.

　　At different heights, the temperature is different.

　　The graph shows information about temperatures in one month.

　　For example:

　　At 1000 metres, the maximum temperature is 30°C.

　　(a) At 3000 metres, what is the minimum temperature?

　　...........................°C

　　(b) At 5000 metres, the minimum temperature is –3°C.

　　The range in temperature is 15°C.

　　On the graph above, draw a bar to show this information.

　　16. Fred has a bag of sweets.

　　He is going to take a sweet from the bag at random.

　　(a) What is the probability that Fred will get a black sweet?

　　(b) Write the missing colour in the sentence below.

　　(a) What is the probability that Fred will get a green or a yellow sweet?

　　17. The graph shows the straight line with equation y = 3x – 4

　　(a) A point on the line y = 3x – 4 has an x-coordinate of 50

　　What is the y-coordinate of this point?

　　(b) A point on the line y = 3x – 4 has a y-coordinate of 50

　　What is the x-coordinate of this point?

　　(c) The gradient of the line is 3. On the graph, draw a different straight line with gradient 3

　　18. The squared paper shows the nets of cuboid A and cuboid B.

　　a) Do the cuboids have the same surface area?

　　Show calculations to explain how you know.

　　(b) Do the cuboids have the same volume?

　　Show calculations to explain how you know.

　　19. The shapes in this question are drawn on square grids.

　　(a) Show that the triangle and the rectangle have the same area.

　　(b) On the grid below, draw a parallelogram that has the same area as the triangle. It must not have any right angles.

　　(c) What is the area of this trapezium?

　　20. Rearrange the equations.

　　b + 4 = a b = ...............................

　　4d = c d = ...............................

　　m – 3 = 4k m = ...............................

　　t²= 4s s = ...............................

　　21. Look at these number cards.

　　(a) Choose two of the cards to give the lowest possible answer. Fill in the cards below and work out the answer.

　　(b) Choose two of the cards to give the answer 100

　　22. A cup of coffee costs £2.50

　　The diagram shows how much money different people get when you buy a cup of coffee.

　　(a) Complete the table to show what percentage of the cost of a cup of coffee goes to retailers, growers and others.

　　Show your working.

　　23. ABCD is a parallelogram.

　　Work out the sizes of angles h and j

　　Give reasons for your answers.

　　h = ...............................° because ...........................................................................

　　...........................................................................

　　...........................................................................

　　...........................................................................

　　j = ...............................° because

　　...........................................................................

　　...........................................................................

　　...........................................................................

　　...........................................................................

　　以上是关于莱斯特女子中学Leicester High School for Girls year9数学入学考试题库的相关问题，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!