干货分享 雷斯中学The Leys School Year 7数学入学考试笔试题!

2023-01-17

  作为英国顶尖的私立混校,雷斯中学一直与剑桥大学有紧密的合作关系,这也使得该校的学生可享受到独特的学习资源,比如校内选物理科的学生几乎每月到剑桥大学物理部实验室参加学科讲座、工作坊和展览,如此优越的环境之下,自然吸引了一大批的学子前往该校求学,可是,入读私校要进行笔试,下面,小编就为大家带来了雷斯中学The Leys School Year 7数学入学考试笔试题,希望对大家有所帮助:

雷斯中学The Leys School Year 7数学入学考试笔试题

  11+数学笔试题

  第一部分:选择题

  这部分的每道题都是两分。

  圈出正确答案。

  1. The +, −, ×, ÷ signs have been left out of the following sum:

雷斯中学The Leys School Year 7数学入学考试笔试题

  Which of the following expressions has the correct signs?

  a. 6 + 3 × 10 − 2      b. 6 ÷ 3 + 10 × 2       c. 6 × 3 + 10 ÷ 2       d. 6 − 3 + 10 ÷ 2

  2. Which number is one hundred times smaller than 4250?

  a. 425000       b. 4.25      c. 425      d. 42.5

  3. Which measurement is the same as 3.5m?

  a. 350cm       b. 0.35km      c. 350000mm     d. 3500cm

  4. Which of the following numbers is the smallest?

雷斯中学The Leys School Year 7数学入学考试笔试题

  5. If P = 4, Q = 2 and R = 5, what is the value of R(2P + Q)?

  a. 15          b. 40         c. 50         d. 60

  6. What is the missing number from the following equation?

雷斯中学The Leys School Year 7数学入学考试笔试题

  a. 2         b. 4        c. 6           d. 10

  7. What is one third of two minutes?

  a. 20 seconds         b. 40 seconds        c. 60 seconds           d. 80 seconds

  8. How much change from a £5 note would you get if you bought three star fruit costing 90p each and two kiwi fruit costing 61p each?

  a. £1.02          b. 98p         c. £2.08       d. £1.08

  9. To cook a Christmas Pudding you must heat it in the oven for 30 minutes and then cook it for a further 20 minutes per 100g it weighs. For how long must Gerard cook his Christmas Pudding weighing 700g.

  a. 2 hours 50 mins         b. 3 hours 20 mins        c. 2 hours 10 mins          d. 3 hours 10 mins

  10. Alfred is three times as old as his son Barrett. Barrett is seven years older than his brother Carl. Carl is eight years old. How old is Alfred.

  a. 18 years old        b. 30 years old        c. 45 years old         d. 60 years old

  第二部分: LONG ANSWER

  这部分的每道题都是三分。

  在所提供的空格内回答。

  11. Write a number in each box to make the calculations correct.

雷斯中学The Leys School Year 7数学入学考试笔试题

  12. Here is a picture of Faisal standing next to his new house in Trumpington.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (a) Estimate the height of Faisal, giving your answer to the nearest metre.

  Answer: ....................................................

  (b) Use this value to estimate the height of Faisal’s new house, again giving your answer to the nearest metre.

  Answer: ....................................................

  13. A spinner has eight equal sections, as shown below

雷斯中学The Leys School Year 7数学入学考试笔试题

  What is the probability you spin an even number?

  Answer: ....................................................

  14. Steve kept a note of how many books he read throughout the winter months. He then made a bar-chart from the data, as shown below.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (a) How many books did Steve read in November?

  Answer: ....................................................

  (b) How many more books did Steve read in December than in October?

  Answer: ....................................................

  (c) Steve read five books in January. Draw this on the bar-chart above.

  15. (a) In the diagram below join the pairs of numbers that equal 1 when added together. The first one is done for you.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (b) In the diagram below join the pairs of numbers that equal 1 when multiplied together. The first one is done for you.

雷斯中学The Leys School Year 7数学入学考试笔试题

  16. Consider the following triangle ABC, drawn on a square grid.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (a) State whether the following statements about ABC are true or false.

  • The triangle is isosceles ....................................

  • The triangle is right-angled ....................................

  • The triangle has three lines of symmetry ....................................

  • The coordinates of C are (4,1) ....................................

  (b) The point M has coordinate (3,6). Draw this on the diagram above. What is the name of the shape ABMC?

  Answer: ....................................................

  17. Peter makes a pattern using identically sized hexagons. This pattern is shown below.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (a) How many hexagons will Peter use to make Pattern 4? ....................................

  (b) How many hexagons will Peter use to make Pattern 8? ....................................

  (c) What fraction of Pattern 1 is shaded in? ....................................

  18. Look at the following two equations

  a + 12 = 16

  2a + b = 18

  Use both these equations to work out the value of b.

  Answer: ....................................................

  19. Complete the table below

雷斯中学The Leys School Year 7数学入学考试笔试题

  20. The following table shows which sports students chose at The US School in Cambridge.

雷斯中学The Leys School Year 7数学入学考试笔试题

  (a) How many Year 8 students play Basketball? ....................................

  (b) What is the difference between the number of students in Year 10 who chose to play Football and who chose Track & Field?

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

  (c) How many students in total chose to play Cricket?

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

  21. Siobhan thinks of a number and then doubles it. Then she adds 12. The number she ends up with is 34. What was Siobhan’s original number?

  Answer: ....................................................

  22. Zhengyan has two identical long tiles 10cm in length, and five identical short tiles 6cm in length. He places them together to form a square of edge 10cm. He then colours two short tiles to make the shape of his lucky number. This is shown in the diagram below。

雷斯中学The Leys School Year 7数学入学考试笔试题

  Work out the shaded area.

  Answer: ....................................................

  第三部分:HARDER QUESTION

  这部分的问题值4分。

  只有当你完成了剩下的部分后才尝试回答这个问题。

  23. In the table below the totals for the rows and the columns are given. Unfortunately the first column’s total is hidden by an inkblot. By calculating the values of A, B, C and D find the missing total.

雷斯中学The Leys School Year 7数学入学考试笔试题

  Answer: ....................................................

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