奥登汉姆学校Aldenham School Year 9 数学入学考试笔试题库赏析

　　作为英国一所顶尖的私立混校，奥登汉姆学校自1597年创建以来，为学生提供优质的教育，该校不仅各项设施先进。还非常注重对学生艺术、戏剧和音乐的培养，因此，越来越多的学生去该校留学，该校的入学年龄为4+、7+、13+和16+。13+就相当于英国的9年级，学校入学要经历一系列的考试，下面，小编就为大家带来了奥登汉姆学校Aldenham School Year 9 数学入学考试笔试题库赏析，希望对大家有所帮助：

　　时间:60分钟(+15分钟额外时间)

　　说明:

　　•把答案写在小册子的空白处

　　•展示足够的方法来展示你是如何得到答案的

　　•任何问题都不能使用计算器。

　　•可以使用尺子。

　　稳定地完成试卷，你可以直接做尽可能多的题，然后再回去做更难的题。

　　Q1.

　　(a) Work out 3 × 5 + 7

　　(c) Write brackets ( ) in this statement to make it correct.

　　7 × 2 + 3 = 35

　　Q2.

　　Here are some fractions.

　　(a) Which fraction?

　　Q3.

　　Write these numbers in order of size.

　　Start with the smallest number.

　　Q4.

　　Give your answer as a fraction in its simplest form.

　　Q5.

　　At 7 am the temperature was −4 °C

　　By 3 pm the temperature had gone up by 10 °C.

　　(a) Write down the temperature at 3 pm

　　At 9 pm the temperature was −2°C.

　　By midnight the temperature had gone down by 7 °C.

　　(b) Write down the temperature at midnight.

　　Q6.

　　Ali, Ben and Candice share £300 in the ratio 2 : 3 : 5

　　How much money does Candice get?

　　Q7.

　　Emma has 45 rabbits.

　　30 of the rabbits are male.

　　8 of the female rabbits have short hair.

　　12 of the rabbits with long hair are male.

　　(a) Use the information to complete the two-way table.

　　One of Emma's rabbits is chosen at random.

　　(b) Write down the probability that this rabbit is a female with short hair.

　　Q8.

　　Lily has 3.4 kg of flour.

　　She uses 500 grams of the flour.

　　How much flour does Lily have left?

　　Q9.

　　Liz asks 20 people to name the flavour of chocolate they like best.

　　Here are her results.

　　(b) On the grid, draw a suitable chart or diagram to show Liz's results.

　　Q10.

　　The points (–3, –1), (–2, 2) and (3, 2) are three vertices of a parallelogram.

　　Find the coordinates of the fourth vertex of the parallelogram.

　　Q11.

　　Azmol is paid £1500 per month.

　　He is going to get a 3% increase in the amount of money he is paid.

　　Work out how much money Azmol will be paid per month after the increase.

　　Q12.

　　Tom and Amy set the alarms on their phones to sound at 6.45 am.

　　Both alarms sound together at 6.45 am.

　　Tom's alarm then sounds every 9 minutes.

　　Amy's alarm then sounds every 12 minutes.

　　At what time will both alarms next sound together?

　　Q13.

　　XYW is a straight line.

　　Work out the size of the angle markedα.

　　You must give reasons for your answer.

　　Q14.

　　(a) On the grid, rotate shape A 180° about the point (1, 1).

　　(b) On the grid, enlarge triangle B by scale factor 3, centre (0, 0).

　　Q15.

　　On Monday Alex earned £120

　　She worked for 8 hours.

　　(a) Work out Alex's hourly rate of pay.

　　On Monday Alex earned £120

　　On Tuesday she earned £100

　　Alex earned the same amount of money on Wednesday, on Thursday and on Friday.

　　She earned a total of £550 for these five days.

　　(b) How much did Alex earn on Wednesday?

　　Q16.

　　Q17.

　　Q18.

　　The bar chart gives information about how students got to a college yesterday

　　(a) How many male students got to the college by car?

　　(b) Work out the total number of students who got to the college by bus. More male students than female students got to the college.

　　(c) How many more?

　　Q19.

　　Here is a rectangle

　　All measurements on the diagram are in centimetres.

　　(a) Find the value of x.

　　Here is a triangle

　　(b) Find the size of the angle marked y

　　Q20.

　　Dilys buys a new house.

　　She wants to have a lawn in the back garden.

　　The lawn is going to be in the shape of a rectangle

　　The lawn will have a length of 10 m.

　　The lawn will have a width of 8 m.

　　Dilys wants to buy edging strip for her lawn.

　　The length of the edging strip needs to be equal to the perimeter of her lawn.

　　Edging strip costs £1.50 per metre.

　　What is the total cost of the edging strip?

　　Q21.

　　In a box there are three types of chocolates.

　　There are 6 plain chocolates,

　　               8 milk chocolates

　         　and 10 white chocolates.

　　Ben takes at random a chocolate from the box.

　　(a) Write down the probability that Ben takes a plain chocolate.

　　Deon takes 2 chocolates from the box.

　　(b) Write down all the possible combinations of types of chocolates that Deon can take。

　　Q22.

　　There are 30 children in a nursery school.

　　At least 1 adult is needed for every 8 children in the nursery.

　　(a) Work out the least number of adults needed in the nursery. 2 more children join the nursery.

　　(b) Does this mean that more adults are needed in the nursery?

　　You must give a reason for your answer.

　　Q23.

　　Ed has 4 cards.

　　There is a number on each card.

　　The mean of the 4 numbers on Ed's cards is 10

　　Work out the number on the 4th card.

　　Q24.

　　The distance from Fulbeck to Ganby is 10 miles.

　　The distance from Ganby to Horton is 18 miles.

　　Raksha is going to drive from Fulbeck to Ganby.

　　Then she will drive from Ganby to Horton.

　　Raksha leaves Fulbeck at 10 00

　　She drives from Fulbeck to Ganby at an average speed of 40mph.

　　Raksha wants to get to Horton at 10 35

　　Work out the average speed Raksha must drive at from Ganby to Horton.

　　Q25.

　　Ali has some packets.

　　Each packet has dimensions 40 cm by 8 cm by 50 cm.

　　Ali fills a container with these packets.

　　The container is a cube of side 2 m.

　　Ali fills the container completely with these packets.

　　Work out the number of packets.

　　Q26.

　　ABCD is a trapezium.

　　STUV is a rectangle.

　　All measurements are in centimetres.

　　The two shapes have the same perimeter.

　　Work out the length of ST.

　　Q27.

　　Here are a triangle and a rectangle.

　　The area of the rectangle is 6 times the area of the triangle.

　　Work out the width of the rectangle.

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