作为英国顶尖的私立混校，凯特汉姆中学学校纪律严谨，成绩优秀，每年吸引大量名校学生报名。学校致力于为学生提供结合了传统精粹和现代科技的优质教育，注重教会学生学习的方法是学校教学的特点。可是，入读私校要经过笔试，下面，小编就为大家带来了凯特汉姆中学Caterham School Year7数学入学考试笔试题，希望对大家有所帮助：
11+数学入学考试
11+数学入学考试现在是30分钟:不允许使用计算器。
数量:
*将数字的值放在整数和小数中。
(按大小)将包含负数的整数和小数排序。
符号的使用> , < , = etc.
了解质数、因数和倍数的含义，包括HCF和LCM。
整数和小数的加减法。
整数的乘法(包括长乘法);整数的除法(但不是长除法)。
小数与整数的乘法。
运算的顺序
等价分数和排序。
简单的百分比、分数和十进制等价物。
计算一个数量的分数或百分比。
分数的加减法
比例:问题将涉及“部分”(见示例)。
代数:
考试中没有正式的代数，但考生可能会被要求用一个合适的数字“填入方框”，或者解决一些用代数就能解决但不用代数就能解决的问题。
发现模式，并在数字序列中写下接下来的几项将是预期的。
形状和措施:
读写标准(线性)公制单位，并在它们之间进行转换。
了解测量长度、面积、体积和“重量”的合适公制单位。
形状周长的计算。
计算简单标准形状的面积，包括矩形(和正方形)、三角形和由这些形状组成的化合物。
计算长方体的体积。
理解直线对称和旋转对称;对称轴。
理解术语“平行”和“垂直”。
当提到角度时，知道锐角、钝角和反射角。
角度属性:直线= 180°，满圈= 360°，三角形和= 180°。
了解等腰三角形和等边三角形的概念及其性质。
从时钟上读取时间，使用上午和下午以及24小时制。
计算时间的和或差。
数据:
阅读并解释简单的信息表格。
解释简单的折线图(如温度v时间)。
阅读并绘制柱状图和(简单的数字)饼图。
*使用坐标系统定位(参见示例)。
•估计事件发生的可能性;这通常会用到数轴。
解决问题:
这些问题通常都很啰嗦，看应聘者如何从词语中“提炼出数学”。写下任何工作都是很重要的，因为在这里方法得分可能相当慷慨。
1. What is the smallest possible number you can write down using these figures, once each ?
What is the largest possible number you can write down using these figures, once each ?
2. Calculate the following
( 33 + 7 ) ÷ (14 − 6 ) =
Ans:...................................
2 × 9 + 4 ×2 =
Ans:...................................
( 16 + 40 ) ÷ 2 ×4 =
Ans:...................................
3. Jimbob buys 9 pairs of laces for his hiking boots.
It costs £19.26 altogether.
How much would 3 pairs of laces cost?
Ans:...................................
4. If 15 × 20 = 300, give the answers to these, without working them out in full:
15 × 21 = ……
Ans:……………………..
15 × 19 = ……
Ans:……………………..
300 ÷ 15 = …...
Ans:……………………..
5. Write these numbers in order of size starting with the smallest:
6. Here is a list of fractions:
7. Jimbob’s van can carry 192 boxes.
Jimbob has 6240 boxes to move from Woking to Caterham.
How many journeys must the van make to transport all of these boxes from Woking to Caterham?
Show your method and workings.
Ans:………………………
8. This table shows the temperature that it went down to overnight in 5 parts of the UK.
What is the temperature difference between the hottest and coldest places?
…………………
Pre-Algebra:
1. Look at this pattern of numbers.
Fill in the missing numbers:
2. I think of a number.
I multiply it by 3 and then subtract 5.
I get an answer of 16.
What was the number I first thought of ?
Ans:…………………….
4. A list of numbers is written down using the rule
multiply the position in the list by 5 and add 2
For example, the third number in the list will be 5 × 3 + 2 = 17.
Write down the tenth number in the list.
Ans:…………………….
Write down the twenty-fifth number in the list.
Ans:……………………
One of the numbers in the list is 337.
Which position in the list is 337 ?
Ans:…………………
5. Nancy is a motorcycle stunt driver. She likes jumping over cars and vans on her motorbike. The cars and vans are arranged side by side like in the picture.
On her first jump, she jumps over 5 cars and 2 vans, which is a total width of 14 metres. On her second jump, she jumps over 5 cars and 4 vans, which is a total width of 19 metres.
What is the width of a car and the width of a van?
Car’s width:..................
Van’s width:.................
Shapes and measures:
1. A rectangular field has an area of 72 m².
The length of the field is 9 m.
How wide is it?
Ans:...........................................m
2. Jane went to the supermarket to buy these items:
Suppose the supermarket had run out of carrots.
What would the total weight of the shopping be then?
Ans:…………………………………..
3. Anne-Marie is making cakes, and weighs out some sugar. This is what her scales show:
How much is this in grams? …..……………………….
How much is this in kilograms? ……………………………
Anne-Marie’s friend Chris knocks over the bowl and spills 0.25 kilograms of sugar. How much is left, in kilograms?
…………………………….
4. A water tank has the shape of a cuboid.
It is 3m 20 cm long, 1m 50 cm wide and 2m high.
What is the volume of water in the tank, measured in cm³?
Ans:…………………………cm³
What is the volume of water in the tank measured in litres?
Ans:…………………………litres
5. ABC is an isosceles triangle, with AB=BC. If the angle at B is 50°, what is the angle at A? Note:The triangle is not drawn accurately.
6. Estimate (without a protractor) the size of the angle shown, giving your answer in degrees.
7. On the axes shown, A is the point (2,6)
a. What are the co-ordinates of point B?
Ans:....................................
b. Point C has co-ordinates (4,3). Plot C on the axes above.
c. ABCD is a parallelogram. Write down the co-ordinates of point D.
Ans:.............................................
8. The bus takes 1 hour and 15 minutes to go from Guildford to Oxford.
On the train it would take just 43 minutes.
How much time would I save by travelling on the train?
Ans:...............................minutes
9. Floor tiles measure 20 cm by 30 cm.
They are used to cover a floor that is 9.4 metres by 6.6 metres.
How many tiles of side length 20 cm will fit along the 9.4 metre side?
Ans:…………………..
How many tiles of side length 30 cm will fit along the 6.6 metre side?
Ans:………………….
How many tiles would be needed to cover the floor?
Ans:…………………
Data:
1. The bar chart shows the number of children at a school who have each type of pet.
What is the least popular pet?
How many children have rabbits?
How many more children have gerbils than have horses?
2. Jimbob and Jo play a game of pool.
The probability that Jimbob wins is 0.7
Put an arrow on the number line below to show the probability that Jimbob will win the game.
3. The pie chart below shows what games consoles the students at Helanbacagun primary school in North Wales received for Christmas.
If 6 lucky students got a ZX81, how many students got an XBOX One?
Ans:.......................
Problem solving:
1. For one newspaper shop it was noted that on a particular Monday, 32 customers were men, three quarters of the customers were women and 25% of the women bought newspapers.
How many women bought newspapers on that Monday?
Ans:........................women
2. Jimbob has many talents, including doing odd jobs for people.
Contacts have fixed him up with 14 houses to paint over the summer.
He has decided to allow himself 14 days to paint each house but he would like a holiday of 4 days in the middle and, unfortunately, he will be off sick (because of paint fumes) for a further 3 days.
How many days does the whole job take him from start to finish?
Ans:............................days
3. Jimbob is good at darts.
He knows that ‘triple 10’ is worth 30 points and a ‘double 5’ is worth 10 points.
He needs to score 124 points to win a match.
With his next two darts he scores ‘triple 16’ and ‘double 20’.
How many points will he have to get with his third dart to win the match?
Ans:.........................points
4. Car hire costs £45 for the first 200 km.
For distances over 200 km, there is an extra cost of £0.50 per km.
a) Rosie hired a car and drove 350 km.
Calculate her total cost.
Ans………………
b) Daryl hired a car.
His total cost was £140.
Work out the distance Daryl drove.
Ans………………km
5. The clock below shows 10.20. Look closely at the position of the hour hand.
What will the angle between the hour and the minute hand be when the time is 4.40?
………………………
6. Rob dropped into Lidl for a crate of sparkling water.
There was an offer that said
“buy two crates and get a third crate free”
Rob took three crates off the shelf marked as £7.98 each.
What did Rob actually pay?
Ans:…………………
What was the equivalent price per crate using this offer?
Ans:………………..
7. Can you replace the question mark with a suitable number in this grid ?
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