格瑞萨姆中学Year9入学考试数学笔试真题分享!

格瑞萨姆中学Year9数学笔试真题！格瑞萨姆中学距今已有400多年的历史，是一所历史悠久、充满活力的私立寄宿混校。格瑞萨姆中学非常注重学生的全面培养，不仅为学生提供了各种各样的课外活动，而且还拥有非常严谨的学习氛围，吸引了无数国际学生前来求学。但格瑞萨姆中学国际学生申请者通常需要在面试前参加入学考试。中国学生常报考的是Year9入学考试，而数学是该考试的必考科目之一。下面小编为大家整理了往年格瑞萨姆中学Year9数学笔试真题，希望对各位家长及学生有所帮助。

时间：60分钟 考生须知： 试着问尽可能多的问题 允许使用计算器 总是让你的方法清晰，并展示你的工作 格瑞萨姆中学Year9入学考试数学笔试真题： Q1. (a) Write the following numbers in order of size. Start with the smallest number. (b) Write the following numbers in order of size. Start with the smallest number. Q2. (a) Work out +8 − 6 ......................... (b) Work out −5 − 4 ......................... (c) Work out −12 ÷ +4 ......................... Q3. (a) What fraction of this shape is shaded? Give your answer in its simplest form. ........................................................... (b) Write down the order of rotational symmetry of the shape. ........................................................... (c) On the shape below, shade as few squares as possible so that the dotted line is a line of symmetry. Q4. (a) Write the number 6458 correct to the nearest hundred. ........................................................... (b) Write down the number marked by the arrow. ........................................................... (c) Find the number 7.2 on the number line above. Mark the number with an arrow (↑). Q5. (a) Write 0.7 as a fraction. .............................................................................................................................................. (b) Write 0.3 as a percentage. .............................................................................................................................................. (c) Write 8⁄12 in its simplest form. .............................................................................................................................................. Q6. Without using a calculator work out, (you must show your working) 342 × 24 .............................................................................................................................................. Q8. (i) (a) Write down the coordinates of the point A. (..................................... , .....................................) (b) Write down the coordinates of the point B. (..................................... , .....................................) (c) On the grid, mark with a cross (×) the point (−3, −1). Label this point C. (d) On the grid, draw the line x = 3 (ii) Q10. (a) Solve 4x = 20 x = . . . . . . . . . . . . . . . . . . . . . . (b) Solve y + 5 = 12 y = . . . . . . . . . . . . . . . . . . . . . . Q11. (a) Simplify 5x + 4y + x – 7y .............................................................................................................................................. (b) Solve 7(x + 2) = 7 .............................................................................................................................................. (c) Expand and simplify 11 – 3(x + 2) .............................................................................................................................................. (d) Simplify a⁵ × a⁴ .............................................................................................................................................. Q12. Lydia is buying a ring. The ring costs £60 She pays a deposit of 40%. Work out how much she pays as the deposit. £. . . . . . . . . . . . . . . . . . . . . . Q13. The table shows information about the numbers of Year 10 students absent from Ellen's school last week. (a) Work out the mean number of Year 10 students absent each day. ........................................................... Ellen's school has a total of 240 Year 10 students. (b) What percentage of Year 10 students were absent on Monday? ........................................................... % Q14. Here is a list of numbers. 5     15    30    50    60    90    100    125 From the numbers in the list, write down (i) two different numbers that add up to an even number .............................................................................................................................................. (ii) a multiple of 20 .............................................................................................................................................. (iii) a factor of 45 .............................................................................................................................................. (iv) a cube number .............................................................................................................................................. Q15. Stephanie thinks of a positive number. She squares the number and adds 7 The result is 43 What number did Stephanie think of? ........................................................... Q16. (a) Factorise completelyt² + 6t .............................................................................................................................................. (b) Factorise completely 12 x³y – 18 xy² .............................................................................................................................................. (c) Simplify 5x⁴y³ × 2x³y² .............................................................................................................................................. Q17. All the measurements in the diagram are in centimetres. (a) Given x = 2, mark on the diagram the lengths of all the sides. (b) Calculate the area of the shape. ........................................................... Q18. Q19. ABC is parallel to DEF. EBP is a straight line. AB = EB. Angle PBC = 40°. Angle AED = x°. Work out the value of x. Give a reason for each stage of your working Q20. The diagram shows the floor plan of Mary's conservatory. Mary is going to cover the floor with tiles. The tiles are sold in packs. One pack of tiles will cover 2m² A pack of tiles normally costs £24.80 Mary gets a discount of 25% off the cost of the tiles. Mary has £100 Does Mary have enough money to buy all the tiles she needs? You must show all your working. Q21. The diagram shows a rectangular framework. The framework is made from 5 metal rods. The metal rods have a weight of 0.9 kg per metre. Work out the total weight of the framework. Give your answer, in kg, correct to 3 significant figures. ........................................................... kg 以上是格瑞萨姆中学Year9数学笔试真题，考而思在线从事留学笔试辅导领域15年，对于包括格瑞萨姆中学在内的英国私立中学的入学考试科目、考点都非常熟悉，如果同学们对上述Year9数学笔试真题过程中有疑惑的地方，欢迎咨询我们的在线客服！