英国私立混校教育一直出类拔萃,很多私立混校的学术成绩非常出色,赖默中学就是一所非常顶尖的私立混校,每年都保持着98%的升学率,其中有10%的学生升入牛津、剑桥大学等名校,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赖默中学Latymer Upper School year7数学入学考试笔试题,希望对大家有所帮助:
11+数学
时间:60分钟
注意
计算器是不允许使用的。你可以用尺子。
尝试所有的问题。
如果你答不出一个问题,请继续做下一个问题,然后再试一次。
不要让老师给你解释问题。
如果你在考试结束前完成了,检查你的答案,然后在你的位置静静地等待。
如果你没有完成,或者你不能理解所有的问题,不要担心。一个节
这部分你应该花大约20分钟。每道题1分。有20分
部分A
每个问题有五个可能的答案,只有一个答案是正确的。
把正确答案的字母写在右边的方框里
如果你犯了错误,把它擦掉再试一次。
部分B
你应该花大约40分钟在这部分。每个问题的分数显示在问题后的方括号内。B部分有40分
写出你的答案并在提供的空格内作答。不要使用多余的纸。
Section A
1. What is 483 + 58?
A: 431 B: 441 C: 531 D: 541 E: 551
2. Subtract 108 from 525.
A: 327 B: 417 C: 407 D: 427 E: 633
3. What is 55×160?
A: 8055 B: 8000 C: 8800 D: 9800 E: 8400
4. Jenny divides 344 by 9. What remainder should she get?
A: 6 B: 5 C: 4 D: 3 E: 2
5. What is 912÷16?
A: 58 B: 57 C: 56 D: 54 E: 52
6. Work out three eighths of 264.
A: 61 B: 88 C: 96 D: 99 E: 108
7. Which digit should replace the * below?
A: 1 B: 2 C: 4 D: 6 E: 7
8. 60% of a number is 240. What is the number?
A: 60 B: 144 C: 240 D: 300 E: 400
9. Which of the following gives the largest answer?
10. Kofi leaves for the shops at 11:23am and returns 2 hours 48 minutes later. At what time does he return?
A: 1:01pm B: 1:11pm C: 2:10pm D: 2:01pm E: 2:11pm
12. What is the perimeter of the shape below? [Diagram not to scale]
A: 36cm B: 29cm C: 26cm D: 18cm E: More information needed
13. I buy 4 Mega Bars at 65 pence each and 3 Star Bars at 83 pence each. How much change do I get from £10?
A: £4.91 B: £5.09 C: £5.91 D: £5.19 E: £4.81
14. Two positive whole numbers add together to make 23. What is the smallest possible answer when the two numbers are multiplied together?
A: 132 B: 1 C: 42 D: 22 E: 23
15. Half of a number is 8 bigger than three sevenths of the number. What’s the number?
A: 140 B: 126 C: 119 D: 112 E: 98
16. Dave and Eddie are cycling around a track. Dave completes a lap every 30 seconds, and Eddie completes a lap every 25 seconds. How many laps will Eddie complete in the time it takes Dave to complete 15 laps?
A: 15 B: 16 C: 18 D: 20 E: 25
17. The total of five different, positive odd numbers is 85. What’s the most that the largest number could be?
A: 69 B: 35 C: 25 D: 21 E: 17
18. What is the area of the shaded diamond below? [Diagram not to scale]
A: 34 cm2 B: 264 cm2 C: 198 cm2 D: 132 cm2 E: 66 cm2
19. How many different ways are there of paying exactly 15p using 1p and/or 2p pieces?
A: 2 B: 3 C: 7 D: 8 E: 15
20. I’m thinking of two numbers, one of which is three times as big as the other. When I double one of my numbers and then add it to the other I get 140. Which of the following cannot possibly be one of my numbers?
A: 20 B: 28 C: 50 D: 60 E: 84
Section B
21. Complete the missing numbers in each of the number sequences below:
a) 28, 25, 22, ____, ____, 13, 10.
b) 3, 4, 6, 9, 13, ____, ____, 31
c) 5, -10, 20, ____, ____, -160, 320
22. a) What is the angle between the hour and minute hands of a clock at 6.00pm?
Answer:……………………………….……………………..
b) What is the angle between the hour and minute hands of a clock at 6.30pm? [Draw a picture to help]
Answer:……………………………….……………………..
c) At what time between 6pm and 6.30pm will the hour and minute hands be exactly 125○ apart?
Answer:……………………………….……………………..
23. a) What is the remainder when 247 is divided by 7?
Answer:……………………………….……………………..
b) Work out 23×438. Show all your working.
Answer:……………………………….……………………..
c) Put the following list of fractions in order, starting with the smallest:
Answer:……………………………….……………………..
24. For each part of this question you should try to find all the possible answers.
a) Three different positive odd numbers add up to 15. What could the three numbers be?
b) Jenny has two younger brothers. The total of all three of their ages is 15, and Jenny’s brothers are both an even number of years old. What could the ages of Jenny and her brothers be?
25. The diagram below shows part of a train timetable:
a) How long does the 0548 from Winnersh take to reach London Waterloo?
Answer:……………………………….……………………..
b) How long does the fastest train take to travel from Wokingham to Richmond?
Answer:……………………………….……………………..
c) Bob lives in Earley, and needs to be in Waterloo before 8.30am for work. If it takes him 8 minutes to walk from his house to Earley station, what’s the latest time he can leave the house?
Answer:……………………………….……………………..
26. a) Tommy thinks of a number. When he doubles the number and then subtracts 11, he gets the answer 17. What was his number?
Answer:……………………………….……………………..
b) Lilly thinks of a number. When she takes away 11 from the number and then doubles the answer, she gets 82. What was her number?
Answer:……………………………….……………………..
c) I’m thinking of a number. When I subtract the number from 45, I get the same answer as when I double the number. What’s my number?
Answer:……………………………….……………………..
27. What is the area of the shape below?
(Diagram not to scale)
Answer:……………………………….……………………..
28. Imran notices that when he takes the digits of the number 652 and multiplies them together he gets 60.
a) How many three digit numbers are there whose digits multiply to give 60? Write down all the ones you can find.
Answer:……………………………….……………………..
b) What’s the biggest three digit number whose digits multiply together to give 40?
Answer:……………………………….……………………..
c) Imran says he has found a three digit number whose digits multiply together to give 65. Explain carefully why he must be wrong.
29. The diagram below is made using the following rule: the number in each square is the total of the numbers in the two squares below it:
a) Complete the diagrams below using the same rule.
b) The same rules are used in the diagram below. Also:
A and B are positive, whole numbers
A is bigger than B
What are the possible values of A and B?
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