2024年德威公学Dulwich College 11+数学C卷入学考试题型 干货请收藏!

2023-02-15

  作为英国九大公学之一的学府,德威公学是英国著名的私立男校,以其一流的教学设施以及超高的学术成绩吸引了海内外学子的目光,自建立以来,为社会培养了很多优秀的人才,比如著名作家P.G. Wudehouse、作曲家Gordon Jacob、物理化学家Harold Brewer Hartley……可是,入读该私校笔试是必经的一道门槛,下面,小编就为大家带来了2024年德威公学Dulwich College 11+数学C卷入学考试题型,希望对大家有所帮助:

2024德威公学Dulwich College 11+数学C卷入学考试

  11+数学C卷

  这篇笔试允许的时间:1小时

  1. Work out:

  a) 4126 − 2381

  Answer: _______________________

  b) 29 × 351

  Answer: _______________________

  c) 330.4 ÷ 8

  Answer: _______________________

2024德威公学Dulwich College 11+数学C卷入学考试

  Answer: _______________________

  2. Fill in the missing numbers in these sequences:

  a) 19 , 23.5 , 28 , ______ , 37 , _______

  b) 9 , 2 , −5 , ______ , _______

  c) 136 , 68 , 34 , 17 , ______ , _______

2024德威公学Dulwich College 11+数学C卷入学考试

  a) How many sheep does the farmer have?

  Answer: _______________________

  b) How many cows does the farmer have?

  Answer: _______________________

  4. The compound shape below is made up of two rectangles and a right-angled triangle.

2024德威公学Dulwich College 11+数学C卷入学考试

  a) The outside perimeter of the compound shape is 86 cm. What is value of 𝑥?

  𝑥 =_____________ cm

  b) What fraction of the compound shape’s total area is the triangle?

  Give your answer in its simplest form.

  Answer: _____________

  5. Fill in the blanks to make the calculation correct.

  a) 50 – (10 ÷ 2) = _____

  b) (30 – ____) × 2 = 28

  c) 8 + (2 × ____) = 32 + ____ = 20

  6. Below is the train timetable for the service from Poole to Southampton.

2024德威公学Dulwich College 11+数学C卷入学考试

  To get to work John has to walk 12 minutes to Parkstone Station, get the train to Southampton, and then walk 16 minutes to his office. If John has to get to work before 12:30 today, what is the latest time he can leave the house?

  Answer: _____________

  7. Find the missing angles (diagrams not to scale):

2024德威公学Dulwich College 11+数学C卷入学考试

  Answer: a = __________°

  Answer: b = __________°

  Answer: c = __________°

2024德威公学Dulwich College 11+数学C卷入学考试

  Answer: d = __________°

 

2024德威公学Dulwich College 11+数学C卷入学考试

  a) Plot and label the following points: A (-1, -2), B (1, 1) and C (5, 1).

  b) Plot a fourth point and label it D such that ABCD is a parallelogram.

  c) A is midway between B and another point E.

  What are the co-ordinates of the point E?

  Answer : ( ______ , ______ )

  9. There are 5 boys playing patball. Abdul is 5 years old, Bill is 7 years old, Calvin is 8 years old, Dmitri is 9 years old and Ethan is 11 years old.

  a) What is the mean age of the group of boys?

  Answer: ___________

  b) If one of the 5 boys leaves the game and the mean age of the remaining boys doesn’t change, who would have left the game?

  Answer : ____________

  c) If two of the 5 boys leave the game and the mean age of the remaining boys becomes 7 years old, who would have left the game?

  Answer : _____________ and ____________

  10. Mark drives a 100 mile journey in 2 and a half hours.

  How much faster would he have to drive if he wanted to complete the journey in 2 hours?

  Answer : ____________ miles per hour

  11. a) Reflect the shape in the dotted line.

2024德威公学Dulwich College 11+数学C卷入学考试

  b) What type of quadrilateral is the original shape?

  Answer : ___________________

  12. Benny is making pancakes for a pancake party and needs to buy flour and eggs.

2024德威公学Dulwich College 11+数学C卷入学考试

  a) If Benny has £10 and buys 3 bags of flour, what is the maximum number of boxes of eggs he can buy?

  Answer______________

  b) If Benny has £10 and buys only flour and eggs and this leaves him with £1.40 change, how much of each must he have bought?

  Answer______________

  b) If Benny has £10 and buys only flour and eggs and this leaves him with £1.40 change, how much of each must he have bought?

  Answer : __________ bags of flour, _________ boxes of eggs

  13. The below sequence of shapes is formed by adding a new row and column of dots onto the previous shape.

2024德威公学Dulwich College 11+数学C卷入学考试

  What is the first shape to be made up of more than 400 dots, and how many dots does it have?

  Answer : _________ Shape

  __________ Dots

  14. Put the numbers 1 to 9 in the boxes below, using each number only once, to make the horizontal and vertical multiplications correct.

2024德威公学Dulwich College 11+数学C卷入学考试

2024德威公学Dulwich College 11+数学C卷入学考试

2024德威公学Dulwich College 11+数学C卷入学考试

  16. Every 𝑥 labelled on the shape below has the same value.

2024德威公学Dulwich College 11+数学C卷入学考试

  If the area of the shape is 88 cm2, what is the perimeter of the shape?

  nswer : _______________ cm

  17. Work out the area of the shaded quadrilateral below which is drawn on the grid that is made up of centimetre squares.

2024德威公学Dulwich College 11+数学C卷入学考试

  Answer : ___________________ cm2

  18. Wilfred lists all the factors of an even number.

  He finds that the second largest factor of the number is 54 bigger than the second smallest factor of the number.

  What was the even number?

  Answer : ___________

  19. It takes 2 bricklayers 4 and a half hours to build 3 walls.

  Assuming the bricklayers work at the same pace and the walls are the same size,

  a) How long would it take 2 bricklayers to build 1 wall?

  Answer : _________ hours _________ minutes

  b) How long would it take 1 bricklayer to build 5 walls?

  Answer : __________ hours _________ minutes

  c) How long would it take 5 bricklayers to build 4 walls?

  Answer : __________ hours _________ minutes

  20.A large cube is made up of a number of smaller cubes.

  The number of small cubes that touch exactly four other small cubes face-to-face is 84.

  How many small cubes make up the large cube?

  (A 3 by 3 by 3 cube is shown purely to help you think about the problem, it is not the solution to the problem)

2024德威公学Dulwich College 11+数学C卷入学考试

  Answer : ___________________ small cubes

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