作为英国顶尖的私立混校,瑟里胡学校不仅有着超高的学术成绩,而且体育教育也非常出色,该校拥有着超强竞争力的橄榄球和曲棍球队,这队伍每年都会出访南非、澳洲和加拿大,因此,越来越多的学生去该校留学,可是入读私校笔试是必经的一项考核,下面,小编就为大家带来了瑟里胡学校Solihull School 11+数学入学考试笔试题型大赏析,希望对大家有所帮助:
11+ ENTRANCE MATHEMATICS EXAMINATION
考生须知
论文分为A、B、C三部分。
在每个部分开头的方框内填写你的候选人编号。
回答A部分的所有问题,并尽可能多地回答B和c部分的问题。如果你发现一个问题很难,不要担心,把它放在一边,继续做下一个问题。你可以以后再来。
当你完成了一个部分,直接进入下一个部分。
考试的任何部分都不允许使用计算器
Section A
INFORMATION FOR CANDIDATES
Write your candidate number in the space provided at the top of this sheet.
There is no need to show any working in Section A, but you may use the space provided to do any calculations that you may wish to make.
In each question you should put your answer in the box provided. The mark for each question is shown in brackets.
Work out:
1.5859 + 7394___________
2. 765 ─389=____________
3.674×7=__________
4.2536÷4=____________
5. How many seconds are there in 8 minutes?
____________________
6. All these fractions are the same:
(i) What is the value of x?
________________________
(ii) What is the value of y?
__________________________
7. Here are some numbers
(i) Which is the smallest?
_________________________
(ii) Which is the largest?
_____________________
8. What is the next number in each of these sequences?
(i) 3, 9, 15, 21, 27, 33 ……………
_____________________________
(ii) 2, 5, 10, 17, 26 …………
_____________________________
(iii) 1000, 900, 810, 730, 660 …………..
_____________________________
9. I think of a number. Multiply it by 6 and subtract 7 to get an answer.
(i) If I start with 12, what is my answer?
_____________________________
(ii) If my answer is 41, what number did I start with?
_____________________________
10. If you buy 8 second class stamps costing 44p each, how much change would you receive from £5.
_____________________________
11. A train leaves Solihull at 6.35 am and arrives at Liverpool at 10.22 am. How many minutes does it take?
_____________________________
Section B
INFORMATION FOR CANDIDATES
Write your candidate number in the space provided at the top of this sheet.
Answer as many of the following questions as you can.
If a question seems difficult, leave it and go on to one of the other questions.
Present your working neatly in the spaces provided.
In each question you should put your answer in the box provided.
1. A hockey tournament has 32 teams competing, each with 11 players.
(i) How many players are there altogether?
________________________________
(ii) Each player brings along 8 supporters to the tournament. How many supporters are there altogether?
________________________________
(iii) In total there were 128 matches played. There was an average of 5 goals scored per match. How many goals were scored in total?
________________________________
2. If you go on holiday to Canada and change your pounds into Canadian dollars, you receive dollars at the rate of 5 dollars for every 3 pounds.
(i) Usman changes £240 into dollars at the beginning of his holiday.
How many dollars does he receive?
________________________________
(ii) He spends 150 dollars on a coat. How many pounds is this?
________________________________
(iii) He spends 55 dollars on a pair of training shoes. How many pounds is this?
________________________________
(iv) How many dollars does he have left?
________________________________
(v) If these dollars are changed back into pounds, how many pounds does he receive?
________________________________
3. In this question the shapes are NOT drawn to scale.
(i) Find the perimeter (the total length around the outside of the shape) of the rectangle below.
________________________________
(iii) A square has a perimeter of 36cm. Find its area.
________________________________
4. Meera gets in a muddle with her arithmetic.
When it says add she always takes away.
When it says take away she always adds.
When it says multiply she always divides.
When it says divide she always multiplies.
What does she give as the answer to:
(i) 32 - 8
_____________________
(ii) 96 × 8
_____________________
(iii) She works out a ÷ 8 and gives the answer as 72.
What is the value of a?
_____________________________
(iv) She works out c ÷ c as 144.
What is the value of c?
_____________________________
(v) If she works out b × 4 + 4 she gets 4.
What is the value of b?
_____________________________
5. Here is a sum with some signs missing
2 3 4 = 10
You can make it correct by putting in the correct signs:
2 × 3 + 4 = 10
Fill in the gaps below to make the sums correct.
You may use any of the signs +, -, x, ÷ and you can use brackets if you wish.
(i) 8 4 2 = 34
_____________________________
(ii) 24 2 8 = 4
_____________________________
(iii) 32 2 40 4 = 74
_____________________________
(i) Work out 2 * 10
_____________________________
(ii) Work out 2 * 2 + 3 * 3
_____________________________
(iii) a * 1 = 65. Work out the value of a.
_____________________________
Section C
INFORMATION FOR CANDIDATES
Write your candidate number in the space provided at the top of this sheet.
Answer as many of the following questions as you can.
If a question seems difficult, leave it and go on to one of the other questions.
Present your working neatly in the spaces provided.
In each question you should put your answer in the box provided.
1. Some numbers read the same forwards and backwards, like 343 and 1221. We call these numbers ‘mirror numbers’.
(i) Find all 'mirror numbers' between 10 and 100? Write your answers in the space below.
(ii) Find all the 'mirror numbers' between 100 and 200. Write your answers in the space below.
2. The three-digit number 452 has a digit sum of 11 because 4 + 5 + 2 = 11.
The three-digit number 584 has a digit sum of 17 because 5 + 8 + 4 = 17
Write down in the space below all three-digit numbers that have a digit sum equal to 25.
3. There is a number of coins on a table. One quarter of them are showing heads. If I turn over two more coins to show heads then one third of the coins now show heads. How many coins are on the table?
__________________________________________________
4. I want to draw a square in which the perimeter (total length around the outside) is equal in size to the area.
(i) What is the side length of the square?
__________________________________________________
(ii) Now I want to draw a rectangle that is twice as long as it is wide. However, its perimeter is still equal in size to its area. What will the length of the rectangle be?
__________________________________________________
5. Fill in the missing numbers so that adding each pair of corner numbers gives you the number between them (in the circles).
6. In the multiplication 6 × 2 = 3 all the digits are correct, but they are in the wrong places. The sum should be 2 × 3 = 6 (or 3 × 2 = 6).
Another example is 3 × 16 = 8. This is wrong. It should be 3 × 6 = 18.
In the multiplications below the digits are also correct but in the wrong places. Write them again in the correct way:
(i) 4 × 8 = 2
__________________________________________________
(ii) 3 × 1 = 42
__________________________________________________
(iii) 28 × 1 = 44
__________________________________________________
7. Some of the digits are missing in the multiplications below. Find the missing digits and write out the multiplications in the answer box. You may use the same digit more than once.
__________________________________________________
__________________________________________________
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