超干货分享 剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题!

2023-01-13

  在英国有这么一所私立女校,它创建于1898年,距今已有一百多年的历史,它为社会培养了很多优秀的女性,并且该校还为学生提供了各种丰富多彩的课外活动,这所私校就是剑桥圣玛丽中学,因此,每年有一大批的学子慕名前来求学,可是,入读私校要经过笔试,下面,小编就为大家带来了剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题,希望对大家有所帮助:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  Year 8数学

  允许时间:60分钟

  说明:

  1. 你不能使用计算器。

  2. 尽可能多地做题。

  3.方法完整的解决方案将获得满分。

  4. 如果你不懂一个问题,跳过它,继续下一个问题。

  5. 当你做完所有你能做的事情后,再回到你错过的问题上。

  1. Look at the diagram below.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  (a) Write down the coordinates of the points A, D and F.

  A = ( , )

  D = ( , )

  F = ( , )

  (b) On the grid above, plot the points B (-3,2), C (3,-4) and E (0,-5).

  (c) Draw the line that passes through the points A and B.

  Make the line reach to the edge of the grid.

  Write down the coordinates of two or more points on this line.

  (d) The points X and Y also lie on this line but are not on the grid. Complete their coordinates.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  2. Complete this sequence of numbers: 31, 34, 37, 40, ___, 46, 49, ___, ___

  3. Consider this list of numbers: 216, 46, 49, 93, 17.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  4. Work these out:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  5. I buy two items, one costing £1.71 and the other £3.08.

  I pay with a £5 note.

  How much change do I receive?

  6. A postman delivers 21 letters to each of 39 premises.

  How many letters does he carry in his bag at the start of his delivery?

  7. Work out the following:

  (a) 21 - 4 x 5

  (b) 6 + 7 x 3 - 27÷3

  (c) (24 + 8)÷(6 - 2)

  8. Solve each of these equations, showing all your working:

  (a) 9a = 4a + 30 (b) 3b + 41 = 6b + 20

  9. Find the perimeter of this quadrilateral.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  10. This diagram shows a plan of Catherine's bedroom floor.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  (a) Find the area of the floor, showing all your working.

  (b) Find the perimeter of the bedroom.

  11. These dot plots show the weighs of some litters of puppies.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  Use the dot plots to complete the following:

  (a) The median for the dalmations is ____________________.

  The range for the dalmations is ____________________.

  (b) The median for the golden retrievers is ____________________.

  The range for the golden retrievers is ____________________.

  (c) Write a couple of sentences comparing the two groups of puppies.

  12. Work out the following:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  13. Complete these tables:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  14. Measure each angle shown in degrees:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  15. Use your protractor to draw an angle of 143°.

  16. Calculate the size of each angle marked with a letter.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  17. Do an accurate drawing of the triangle sketched here.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  18. Imagine that a mirror is placed on the dotted line in each of these diagrams. Draw the image of each shape in the mirror.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  19. Complete this design so that it has a rotational symmetry of order 4 about the marked centre.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  20. For a game two spinners are used, one on a square and the other a regular pentagon. In the game the spinners are spun and the scores are added together. Complete the grid below to show all the possible totals.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  Use your grid to find the probabilities of getting:

  (a) A total of 4

  (b) A total of 0

  (c) A total of 7 or more

  21. (a) List the first eight multiples of 8

  (b) List the first eight multiples of 3

  (c) Write down the lowest common multiple of 8 and 3

  22. (a) List all the factors of 24

  (b) List all the factors of 40

  (c) Write down the highest common factor of 24 and 40

  23. Damon and Ali recorded the length, in seconds, of all the adverts shown between 5:00pm and 11:00pm on one day. Here are the results:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  (a) Complete the grouped frequency table for this data:

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  (b) Draw a bar chart to represent this data.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

  (c) Ali says 'The most common length of an advert is between 20 and 39 seconds'. State, with reasons, whether you agree with Ali's hypothesis about the length of adverts.

剑桥圣玛丽中学St Mary’s School, Cambridge Year 8数学入学考试笔试题

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