瑟里胡学校Solihull School 12+数学入学考试笔试题型大赏析 干货请收藏!

　　作为英国顶尖的私立混校，瑟里胡学校不仅拥有超高的学术成绩，而且还为学生提供丰富多彩的课外活动，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考核，12+是常见的入学时间，下面，小编就为大家带来了瑟里胡学校Solihull School 12+数学入学考试笔试题型大赏析，希望对大家有所帮助：

　　12+ ENTRANCE MATHEMATICS EXAMINATION

　　In each question you should put your answer in the box provided. The mark for each question is shown in brackets.

　　不得使用计算器。

　　1. 7291+ 2236=______________

　　2.3031-1128=______________

　　3. 34 × 23=_______________

　　4.3184÷8=___________

　　5. How many seconds are there in 21 minutes?

　　__________________

　　6. All these fractions are different:

　　(i) Which is the smallest fraction?

　　____________________________

　　(ii) Which is the biggest fraction?

　　____________________________

　　7. Work out:

　　____________________________

　　____________________________

　　____________________________

　　____________________________

　　____________________________

　　8. Work out the following:

　　(i) 1 + 2 × 3

　　____________________________

　　(ii) 5 + 7 − 2 × 4

　　____________________________

　　(iii) 11.9 – 4.42

　　____________________________

　　(iv) 2.1 × 1.9

　　____________________________

　　(v) Work out 10% of £40 + 15% of £60

　　____________________________

　　9. a = 3, b = 5, c = −6.

　　Find the values of:

　　(i) a + b + c

　　____________________________

　　(ii) a − b − c

　　____________________________

　　(iii) abc

　　____________________________

　　(iv) a(b – c)

　　____________________________

　　(v) a²+ b²+ c²

　　____________________________

　　10. Find the value of x in these equations:

　　(i) 2x = 62

　　____________________________

　　(ii) 3x + 1 = 19

　　____________________________

　　(iii) 2(x + 6) = 31

　　____________________________

　　(iv) 2x + 7 = 4x – 15

　　____________________________

　　____________________________

　　11. Find the next two numbers in these sequences. Write your answers in the gaps.

　　(i) 5, 9, 13, 17, 21 ________________ ______________

　　(ii) 14, 13, 11, 8, 4,________________ ______________

　　(iii) 3, 5, 9, 17, 33,________________ ______________

　　(iv) 1, 4, 9, 16, 25,________________ ______________

　　(v) 32, 16, 8, 4, 2,________________ ______________

　　(vi) 2, 3, 5, 8, 13,________________ ______________

　　12. In this question the shapes are NOT drawn to scale.

　　(i) Find the perimeter (the total length around the outside of the shape) of the rectangle below.

　　______________

　　(ii) The perimeter of the rectangle below is 120cm. Find its area.

　　______________

　　(iii) Find the area of the shape below:

　　______________

　　(iv) The square below has an area of 169cm2. Find its perimeter.

　　13. When we multiply 5 by itself the answer is 25. We call 5 the square root of 25. Similarly the square root of 49 is 7 because 7× 7 = 49.

　　(i) Write down the square roots of

　　(a) 4

　　_____________________________

　　(b) 121

　　_____________________________

　　(c) 400

　　_____________________________

　　(ii) Some numbers do not have an exact square root; for instance, if we try 40, 6 is too small (6 × 6 = 36) and 7 is too large (7 × 7 = 49). The square root of 40 is between 6 and 7.

　　Complete the following statements with the two numbers nearest the square root required.

　　(a) The square root of 6 is between and

　　(b) The square root of 84 is between and

　　(c) The square root of 801 is between and

　　14. A man cycles from Birmingham to Leicester, which is 44 miles away. He starts at 9.00 am and cycles at 9 miles per hour until 1.00pm when he has a puncture.

　　(i) How far has he gone?

　　___________________miles

　　(ii) How much further has he to go?

　　___________________miles

　　(iii) He walks the rest of the way to Leicester and arrives at 5.00 pm. What is his average speed for this section of the journey if he started walking at 1.00pm?

　　___________________mph

　　(iv) He catches a train back from Leicester to Birmingham, and travels at 66 miles per hour. How long does the return journey take?

　　___________________minutes

　　15. Every month John, Peter and Helen received a sum of money which was divided so that Helen received five times as much as John, and Peter received twice as much as Helen.

　　(i) What sum of money did Peter receive in March if Helen received £20?

　　£________________

　　(ii) What sum of money did they receive altogether in April if Peter received £60?

　　£________________

　　(iii) If they received £160 altogether in May, how much did John receive that month?

　　£________________

　　16. (i) What is the angle between the hands of a clock at 9:00am?

　　________________

　　(ii) What is the angle between the hands of a clock at 1:00pm?

　　________________

　　(iii) What is the angle between the hands of a clock at 1:30pm?

　　________________

　　17. One quarter of the people at a party are men, a half are girls, one sixth are women, and there are five boys. How many people were at the party?

　　________________

　　(i) Work out 3 * 1.

　　____________________

　　(ii) Work out 3 * 2 + 1 * 0.

　　____________________

　　(iii) a * 8 = 208. Work out the value of a.

　　____________________

　　(iv) b * 2 = 4b. Work out the value of b.

　　____________________

　　19. Which multiple of 11 is nearest to 1000?

　　____________________

　　20. What number is halfway between 137 and 859?

　　____________________

　　21. 3/8 of a number is 27. What is ½ of the number?

　　____________________

　　22. I am thinking of a number less than 50. When I divide my number by 7 I get a remainder of 3. When I divide my number by 5 I get a remainder of 2. What is my number?

　　____________________

　　23. How many 20cm by 30cm carpet tiles are needed to cover a 5m by 6m rectangular floor?

　　____________________

　　24. The total of the ages of a father, his daughter and his two twin sons is 96 years. The daughter’s age is half the father’s age and twice the age of each of her two brothers. How old is the father?

　　____________________

　　以上是关于瑟里胡学校Solihull School 12+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!