干货收藏 七橡树中学Sevenoaks school year7数学入学考试笔试题库!

　　作为全英最顶尖开设IB课程的顶尖私校，七橡树中学不仅教学严谨、学生成绩优异，而且体育运动也十分出色，多名学生分别是不同运动的郡或者国家代表，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七橡树中学Sevenoaks school year7数学入学考试笔试题库，希望对大家有所帮助：

　　时间:1小时

　　所需设备:钢笔，铅笔，橡皮，尺子。

　　考生须知:

　　1. 不允许使用计算器。

　　2. 把你的名字和学校写在这张纸上。

　　3.把你的答案写在答卷上所提供的空白处。

　　4. 这篇论文有15个问题，试着回答所有的问题，但是如果你没有完成论文也不用担心。如果你被卡住了，就继续做下一个问题，如果你在最后有时间的话，再回到你剩下的问题上来。

　　5. 这篇论文总共有60分。每个问题的分数都显示在问题后面的方括号[]中。

　　6. 展示你所有的工作。即使你的最终答案是错误的，你也可能因为答对了而被扣分，没有正确答案支持的正确答案可能不会得到满分。

　　1. Calculate the following:

　　a) 12 − 6 ÷ 2

　　b) 13 − 4 + 5

　　c) (1 − 3)² + 6

　　2. Nat gets to the bus stop at 9:38am – the next bus is at 10:02am. How long does she have to wait for the bus?

　　3. Julie has a box of different coloured ribbons.

　　12 are blue

　　27 are yellow

　　9 are red

　　2 are green.

　　a) How many ribbons does Julie have altogether?

　　b) What fraction of the ribbons are blue? Give your answer in its simplest form.

　　c) What percentage of the ribbons are green?

　　5. James goes on a bike ride. He cycles at 15km/hour for 3 hours.

　　a) How far does James cycle?

　　b) Jonathan cycles 20km in 90 minutes – is he faster or slower than James? Show your working.

　　6. Find 𝑥 in the following equations:

　　a) 2𝑥 − 5 = 13

　　b) 4𝑥 + 2 = −7 +𝑥

　　7. a) Farmer Freddie is checking on the animals in his field. He knows that the ratio of sheep to cows is 2:3. If he counts 50 sheep, how many cows should there be in the field?

　　b) When he counts, Freddie realises that there are actually 100 cows in the field. What is the ratio of sheep to cows now? Give your answer in its simplest form.

　　8. Draw all lines of reflectional symmetry on the below shape:

　　9. Calculate the following, leaving your answers in their simplest form:

　　10. a) Peter is making chocolate bars in the shape of a cuboid, with dimensions as shown below. What is the volume of his chocolate bar?

　　b) Peter decides to sell his chocolate bars at the local market. If he sells each one for 80p and his ingredients cost £50, what is the minimum number of bars he must sell to start making a profit?

　　11. In a school exam hall, the desks are set up, with 80cm between them, as shown below.

　　If each desk is 1m wide and the end desks are put against the wall, how many desks can you fit across a room that is 19m wide?

　　12. Paul and Ashley are trying to decide who is the best at bowling. Below are their scores for the past 3 games. Who has the best mean average score? Show all of your working.

　　13. Find the next 2 numbers in the following sequences:

　　a) 2,5,8 …

　　c) 12, 6, 3 …

　　14. Alanna has three flower beds in her garden.

　　a) The first two, shown below, have the same area.

　　Find the value of 𝑥.

　　b) The third flower bed is also triangular, but with a sloping height of 80cm.

　　Does it have smaller, larger or the same area as the other flower beds? Give a reason for your answer.

　　15. Guy and Tim created a new mathematical rule where ⌈𝑥⌉ is the smallest whole number bigger than or equal to 𝑥.

　　For example, ⌈5.3⌉ = 6, ⌈0.9⌉ = 1, ⌈−1.7⌉ = −1.

　　Calculate the following:

　　a) 12.4 − ⌈5.2⌉

　　b) [4.8 ÷ ⌈1.7⌉]

　　c) Tim claims that ⌈𝑎 + 𝑏⌉ = ⌈𝑎⌉ + ⌈𝑏⌉. Guy says this is not always true. Who is correct? Explain your answer.

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