哈博戴斯阿斯科男校The Haberdashers' Aske's Boys' School 13+数学入学考试笔试题型大赏析 赶紧收藏!

　　英国私校教育历来享誉世界，一直讲究的是“全人教育”。不仅关注学生的学术成绩，而且也开拓学生的兴趣爱好，特别是英国私立男校，为社会培养了很多优秀的精英，哈博戴斯阿斯科男校作为英国顶尖的私立男校，每年有大约十名左右的学生升入名校，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，下面，小编就为大家带来了哈博戴斯阿斯科男校The Haberdashers' Aske's Boys' School 13+数学入学考试笔试题型，希望对大家有所帮助：

　　13+ Entrance Examination MATHEMATICS

　　请按照以下指示操作

　　•在这次考试中不允许使用计算器。

　　•在试卷上适当的位置写下所有必要的作业和答案。

　　•如果答案是错误的，你可以得到正确的分数。

　　•如果有不懂的问题，继续问下一个问题。

　　这篇论文有100分。每道题的分数显示在括号内。不要在一个问题上花太长时间。

　　1. Work out the value of the following

　　(a) 4+6÷2_______________

　　(b) −3 −7 −12_______________

　　(c)120+60÷(20−5) _______________

　　(d)−16÷4×−2_______________

　　2. Simplify the following expressions fully

　　(a)3x+2y+6y−5x_______________

　　(b)(3a)²×2a_______________

　　(c)xy+2y²+3yx+4y²+5x²_______________

　　3. Solve the following equations showing your method clearly.

　　(a)3(2x+9)-7x=4( x+3)

　　x =_______________

　　x =_______________

　　4. An Old Haberdasher Tamal is baking some cakes for a bake off. His recipe gives the following information about ingredients for a cake for 6 servings.

　　(a) The sugar needs to be split in the ratio 5:1 for the sponge and the icing respectively. Find how much sugar is needed for the sponge.

　　_______________________________

　　(b) Find how much flour would be needed to make this cake for 11 servings.

　　__________________________________

　　(c) Tamal has a box of 20 eggs and plenty of sugar, butter and flour to make as much cake as possible. Find the maximum number of servings he can make.

　　__________________________________

　　5. The graph below shows a line and an arrow shape.

　　(a) Find the gradient of the line.

　　___________________

　　(b) Reflect the arrow in the line.

　　(c) Draw the line with gradient 2 and y-intercept 8 on the graph.

　　6. Work out the value of the formulae below when x is -4 and y is 0.2.

　　(a)25-3x_______________

　　(b)y²_______________

　　_______________

　　(d)2x²_______________

　　7. Find the labelled missing angles in the following diagrams. The diagrams are not to scale.

　　(a) ABCE is a rectangle and CG and DF are parallel lines.

　　a =_____________

　　b =_____________

　　c =_____________

　　(b) BCDEF is an irregular pentagon and AF and AB are the same length. ABC is a straight line.

　　x =_____________

　　y =_____________

　　8. All the items in an antique shop have been reduced by 40% in a sale.

　　(a) David buys an antique for £120. Find the price of the antique before the sale.

　　__________________________________________________

　　(b) David then sells the antique for £150. Find what percentage of the £150 which is profit.

　　__________________________________________________

　　9. The graph 3x-2y= 6 is to be drawn.

　　(a) Complete the table of values for the graph.

　　(b) Draw the graph on the set of axes below.

　　10. In a test there are 5 marks for correct answers and 2 marks are lost for incorrect answers. Bob got n correct answers.

　　(a) In terms of n find the number of marks he gained for his correct answers.

　　__________________________________________________

　　(b) He answered 20 questions in total. Find a formula for the number of questions he got wrong.

　　__________________________________________________

　　(c) Find a formula for the number of marks he lost for the wrong answers.

　　__________________________________________________

　　(d) In total he got 65 marks. Using your previous answers write down an equation in n for the number of marks he got.

　　__________________________________________________

　　(e) By solving the equation find how many questions he got right.

　　__________________________________________________

　　11. Fill in the missing numbers from these sequences. The rules for each sequence are given.

　　(a) In this sequence the same number is added to get from one term to the next.

　　(b) In this sequence each term is multiplied by the same number to get the next term.

　　(c) In this sequence the next term is found by adding the two terms before it.

　　12. Lewis is driving to meet a friend.

　　(a) He travels at 40km/hr for the first 3 hours. Find the distance travelled for the first part of the journey.

　　__________________________________________________

　　(b) He knows he needs to average 50km/hr for the whole 400km journey to arrive on time. Find the speed he needs to average for the rest of the journey to arrive on time.

　　__________________________________________________

　　13. Eleven pet owners were asked how many pets they had in total. The results are given below.

　　(a) Find the median number of pets owned.

　　__________________________________________________

　　(b) Find the range of the number of pets owned.

　　__________________________________________________

　　(c) Two more owners are asked how many pets they have. Including their results the mean goes down to 4 but the mode is unchanged from the mode of the first eleven. Find the number of pets these two pet owners had.

　　14. In the diagram below, a quarter of a circle is cut out of a trapezium.

　　(a) Find the area of the quarter circle, leaving your answer in terms of π.

　　__________________________________________________

　　(b) Find the shaded area, leaving your answer in terms of π.

　　__________________________________________________

　　15. A shop offers three deals on golf balls. Andy wants to buy a large quantity of balls because he keeps losing his. Find which deal is best giving clear reasoning.

　　Deal A: Buy 10 get one free

　　Deal B: 10% off

　　Deal C: Buy 5 get a sixth half price

　　__________________________________________________

　　16. The nutritional information for some cereal bars is shown in the table below. It shows the fraction of the recommended daily amount (RDA) of two minerals each contains.

　　(a) James mixes cereal bars. He has half a bar of Oatally Brilliant and two-thirds of a bar of Cornbix. Find the fraction of his RDA of iron he gets from these bars.

　　__________________________________________________

　　__________________________________________________

　　__________________________________________________

　　17. Victor is trying to remember a question he answered. He remembers that he was asked to find the prime factorisation of a number between 40 and 100. He also remembers that the answer was the product of one prime and the square of another prime.

　　(a) The number might have been 50 because 50=2×5². Find all the other possible numbers he could have been asked to factorise.

　　(b) He also remembers that he was given that 1000= 2³×5³ and the lowest common multiple of 1000 and the number in the question was 3000. Find the number in the question showing clear reasoning to get to your answer.

　　以上是关于哈博戴斯阿斯科男校The Haberdashers' Aske's Boys' School 13+数学入学考试的相关问题，总体来讲，低龄留学已成为了一种趋势，毕竟年龄越小，进入名校的机率越大。顶试留学是一所专注于英国低龄留学实行境内外一站式服务的机构，像留学选校、寻找寄宿家庭、寄宿生活、UKiset考试培训等提供全方位的留学咨询。在此，顶试留学预祝准留学生们都能学业有成!