干货分享 博耐顿女校Benenden School year10数学入学考试笔试题库!

　　前一段时间，李湘晒出女儿王诗龄13岁去国外留学啦，这也让博耐顿女校再次出圈，这是英国唯一的全寄宿私立女校，该校环境优美、历史悠久。在这里上学的女生犹如在古堡里面的公主一样，身体和心灵都享受着极高的待遇，该校也培养了不少知名女性精英，包括奥运会运动员、知名记者、皇室贵族、赌王何鸿燊的女儿何超欣……可是，入读这所私校就要经过笔试，下面，小编就为大家带来了博耐顿女校Benenden School year10数学入学考试笔试题库，希望对大家有所帮助：

　　数学

　　所需设备:钢笔，铅笔，尺子，量角器，圆规，橡皮。

　　考生须知:

　　1.尝试所有的问题。如果你没有完成所有的任务，也不要担心

　　2.不得使用计算器

　　3.展示所有工作

　　4.检查答案的准确性

　　5.考试总分:100分

　　1. If e = - 5, f = 7 and g = 8, find the value of:

　　(a) fg - e

　　(b) e² + g

　　2. Work out:

　　3. (a) Mimi and Lindi each bought a dress in a sale.

　　Mimi’s cost £65.45 and Lindi’s cost £52.65.

　　Their mother had given them each two £50 notes and they were asked to give all the change back to their mother.

　　What was the total amount of money their mother received?

　　(b) Ben and Martin took their families and some friends to the theme park.

　　Ben bought 8 tickets for a roller-coaster ride, at £5.60 each.

　　Martin paid for 14 children to go on the Dodgem Cars and he paid exactly the same total amount as Ben did.

　　What was the price of each Dodgem Car ticket?

　　4. Arrange the following in order of size, largest to smallest:

　　5. Write down the values of angles a, b, c and d in the following diagrams.EFGH, PR and QS are all straight lines

　　(The diagrams are not drawn to scale)

　　a = ………….. b = ………….. c = …………… d = ……………

　　6. Solve these equations:

　　(a) 5 ( 2y - 1 ) - 3y = 19 - y

　　Aisha has eight numbered cards which she turns over so that the numbers cannot be seen.

　　She asks Sally to select one at random.

　　Write down the probability that Sally takes:

　　(a) A square number ……………………….. (1)

　　(b) Not a prime number ……………………….. (1)

　　(c) A factor of 72 ……………………….. (1)

　　(d) A multiple of 5 ……………………….. (1)

　　8. Teri is designing a vegetable garden.

　　The diagram shows the shape and dimensions of the garden.

　　(The diagram is not drawn to scale)

　　(a) Teri wants to put a lattice border around the garden.

　　How many metres of the lattice bordering material does she need to buy?

　　(b) Fertilser costs £2. 50 per bag. Each bag covers 6 square metres of ground.

　　What will Teri have to pay if she buys the number of bags she needs, so that her whole vegetable plot is fertilised?

　　9. Annabel and Jack have a competition. They record the number of apples they can

　　pick in ten minutes, on seven separate occasions.

　　These are the results:

　　Annabel : 27 35 57 42 39 41 53

　　Jack :        36 41 38 50 46 32 44

　　Work out:

　　(a) the mean number of apples for each child

　　Annabel : ………………………………….. (3)

　　Jack : …………………………………. (3)

　　(b) the median for each

　　Annabel : …………………………………. (2)

　　Jack : …………………………………. (2)

　　(c) the range for each

　　Annabel : ……………………………….. (1)

　　Jack : ………………………………. (1)

　　(d) Who do you think won the competition? Give a reason for your answer.

　　…………………………………………………………………………………… (2)

　　10. Farmer Brown had 4 500 sheep in 2017.

　　(a) He increased his herd by 15% in 2018.

　　How many sheep did he have in 2018?

　　(b) By 2020 there were 8 000 sheep on Farmer Brown’s herd.

　　Write down the ratio, in its simplest form:

　　the number of sheep in 2018 : the number of sheep in 2020。

　　(c) Farmer Brown wants to divide up his sheep into three areas of his farm, in the ratio

　　4 : 5 : 7

　　How many sheep would be moved into each region?

　　11. Simplify:

　　(a) 3a² bc x 16ab4

　　……………………………………….. (3)

　　(b) (4d3)²

　　……………………………………….. (2)

　　(c) e (9f - 7) - 2e (8 - 11f)

　　12. Round the following, as indicated:

　　(a) 99.67 to the nearest whole number

　　……………………………………… (1)

　　(b) 5.4673 to 2 decimal places

　　……………………………………… (1)

　　(c) 0.0517 to 1 significant figure

　　…………………………………….. (1)

　　(d) 792 pence to the nearest pound

　　…………………………………….. (1)

　　(e) 6542 metres to the nearest kilometre

　　…………………………………….. (1)

　　13. Riki buys some bananas and some apples.

　　He buys twice as many bananas as apples.

　　Each banana costs £0.25

　　Each apple costs £0.35

　　Riki has £5 to spend.

　　What is the greatest number of bananas he can buy?

　　14. Find the Highest Common Factor (HCF) of 96 and 120

　　15. The pie chart gives information about the different animals Thandi saw on her safari holiday.

　　Thandi saw 8 hippos.

　　(a) How many buffalo did she see?

　　(b) Write the number of lions she saw as a fraction of the total number of animals. Give your answer in its simplest form.

　　Jenny went to the same game park and drew a similar pie chart to give information about the animals she saw.

　　In her diagram, the angle representing the giraffes was 85⁰

　　(c) Did Jenny see more giraffes than Thandi? Explain your answer

　　16. The graph below shows two straight lines, Line A and Line B:

　　(a) Write down the equations of the two lines

　　Line A : ………………………………. (2)

　　Line B : ………………………………. (2)

　　(b) Write down the co-ordinates of M, the midpoint of TU on Line B

　　(c) Work out the area of triangle TUW

　　检查你的工作。

　　如果你有时间，试试下面的题目:

　　1. Solve this crossword puzzle

　　2. (a) What is the smallest number which, when doubled and then two is added to the result, has its digits reversed?

　　(d) Find a four-digit number which has its digits reversed when it is multiplied by 4.

　　3. Four jugs contain 2 litres, 3 litres, 4 litres and 5 litres respectively.

　　The 5 litre and 3 litre jugs are full of water.

　　Using only 5 pourings, ensure that each jug contains 2 litres。

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