瑟里胡学校Solihull School 14+数学入学考试笔试题型大赏析 赶紧来做题吧!

　　作为英国顶尖的私立混校，瑟里胡学校可谓是私校教育的典范，该校不仅有着非常出色的学术成绩，而且还十分关注学生的兴趣爱好，为学生提供了丰富多彩的课外活动，比如游泳、篮球、舞蹈、音乐等等，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，下面，小编就为大家带来了瑟里胡学校Solihull School 14+数学入学考试笔试题型大赏析，希望对大家有所帮助：

　　14+ 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. Work out:

　　________________________

　　________________________

　　________________________

　　________________________

　　________________________

　　________________________

　　2. Work out

　　(i) 14.07 + 11.901=________________

　　(ii) 2.9 – 1.909=________________

　　(iii) 4.9 × 2.1=________________

　　3. The bill for 7 similar meals at a restaurant came to £164.36.

　　Find the cost of:

　　(i) 1 meal

　　£______________

　　(ii) 5 meals

　　£__________

　　4. Work out:

　　5% of £5.00 + 10% of £10.00

　　£__________

　　5. (i) Increase 180kg by 30%

　　______________kg

　　(ii) Decrease £300 by 12%

　　£__________

　　(iii) Increase 100cm by 10% and then decrease your answer by 10%

　　______________cm

　　6. Henry took tests in Mathematics, English and French.

　　In Mathematics he scored 60 out of 80.

　　In English he scored 24 out of 40 .

　　In French he scored 56 out of 80.

　　What percentage did he achieve in:

　　(i) Mathematics

　　__________

　　(ii) English

　　__________

　　(iii) French

　　__________

　　7. a = 3, b = −4, c = −5

　　Find the value of:

　　(i) a + b + c

　　__________

　　(ii) a − b − c

　　__________

　　(iii) abc

　　__________

　　(iv) a⁴+ b³+ c²

　　__________

　　__________

　　8. Find the value of x in these equations showing a clear method:

　　(i) 2x + 4 = 25

　　x = _____________

　　(ii) 3x – 19 = 38

　　x = _____________

　　(iii) 3x + 4 = 5x + 6

　　x =_____________

　　(iv) 3(2x − 1) = 3x + 5

　　x =_____________

　　x =_____________

　　9. Expand the following:

　　(i) x(2x + 5)

　　_________________

　　(ii) Simplify:

　　3a − 3b + 4a − 2b − 6a

　　_________________

　　10. In this question the shapes below are not drawn to scale.

　　(i) Find the value of x in the above triangle.

　　x = __________________

　　(ii) Work out the value of y.

　　y=_______________

　　Find, without measuring, all the angles in this picture.

　　p =_________________

　　q =_________________

　　r =_________________

　　s =_________________

　　t =_________________

　　u =_________________

　　11. 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.

　　___________________cm

　　(ii) The perimeter of the rectangle below is 70cm. Find its area.

　　______________cm²

　　(iii) The square below has an area of 400cm². Find its perimeter.

　　______________cm

　　(iv) Calculate the area of this shape.

　　______________cm²

　　12. (i) On the graph below draw the lines:

　　y = 3x − 2

　　y = 4 – x

　　(ii) Give the coordinates of the point of intersection of the two lines:

　　___________________________________

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

　　(i) 6, 10, 14, 18, 22 ______________ _______________

　　(ii) 1, 2, 4, 7, 11,______________ _______________

　　(iii) 81, 27, 9, 3, 1,______________ _______________

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

　　(v) 19, 13, 8, 4, 1,______________ _______________

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

　　14. I roll a fair 6-sided dice.

　　(i) What is the probability that I roll a square number?

　　__________________

　　(ii) What is the probability that I roll a prime number?

　　__________________

　　I now roll a fair 6-sided dice and toss a fair 50p coin at the same time.

　　(iii) What is the probability that I roll a six on the die and get a head on the coin?

　　__________________

　　(iv) I now toss a fair coin 10 times and get a tail on each occasion. What is the probability I get a tail on the next toss of the coin?

　　__________________

　　15. Helen drives at 70 km/hr for 3 ½ hours.

　　(i) How far does she go?

　　____________________km

　　(ii) She then drives at 60 km/hr for 1 ½ hours.

　　How far does she go?

　　____________________km

　　(iii) What is the total distance she travels?

　　____________________km

　　(iv) What is her average speed for the whole journey?

　　_______________________km/h

　　16. Amy, Sam and Charles share some sweets.

　　Sam has three times as many as Charles.

　　Amy has four times as many as Sam.

　　(i) If Charles gets 3 sweets, how many does Amy get?

　　________________________________

　　(ii) If, on another occasion, Sam has 12 sweets, how many sweets are there altogether?

　　________________________________

　　(iii) If, on a third occasion, Amy has 33 more sweets than Charles, how many sweets does Sam have?

　　________________________________

　　17. The nth term of a sequence is given by the formula 9n – 2.

　　(i) Find the first 3 terms of the sequence

　　________________________________

　　(ii) Find the 100th term of the sequence

　　_______________________________

　　Find a formula for the nth term of the following sequences,

　　(iii) 7, 13, 19, 25, ……………..

　　(iv) 1, 8, 27, 64, …………………..

　　(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. Ellie has a certain number of tennis balls and a certain number of bags to keep them in. If 9 balls are put in each bag, one ball is left over. If 11 balls are put in each bag, exactly one bag is empty. How many tennis balls and how many bags are there?

　　________________Balls_______________Bags

　　20. A perfect number is a number which is equal to the sum of all its factors that are less than itself. For example, the factors of 6 less than it are 1, 2 and 3.

　　6 = 1 + 2 + 3, so 6 is a perfect number.

　　(i) Show that 24 is not a perfect number

　　_______________________________

　　(ii) Find a perfect number that lies between 20 and 30.

　　_______________________________

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