作为英国一所顶尖的私立男校，德威公学创建于1619年，距今已有400年的历史，该校拥有着浓厚的学术氛围，一直秉承着启发式的教学，毕业生也都会进入到英国和世界各地最具竞争力的大学，牛津、剑桥的升学率达到了10%。因此，越来越多的学生去德威公学留学，可是，入读私校笔试是一项重要的考试，下面，小编就为大家带来了2024年德威公学Dulwich College 11+数学A卷入学考试笔试题型，希望对大家有所帮助：
这篇笔试允许的时间:1小时
注意
•尝试所有的问题。
•不得使用计算器。
•这个测试被设计成具有挑战性的，所以你可能不会发现所有的问题都很简单，你也可能无法完成整篇论文。不要在任何一个问题上花费太多时间。
•所有工作和计算都应写在所提供的空格内。正确的作业会得到分数，即使你连一个答案都没有。
•保持稳定和谨慎的工作。最后，如果你有时间的话，回头试着解决你第一次看到题目时觉得不太容易的问题。
•本次考试共有100分。
•你不能在每页右下方的方格里写字。
•题目每个部分的分数用方括号表示。
1. Work out:
a) 2019 – 567
Answer: _______________________
b) 67 × 89
Answer: _______________________
c) 81.9 ÷ 6
Answer: _______________________
d) 17.4 + 8.78
Answer: _______________________
2. Fill in the missing numbers in these sequences:
a) 15 , 22 , 29 , _____ , 43 , ______
b) 9 , 5 , 1 , _____ , ______
c) 96 , −48 , 24 , −12 , ____ , ______
3. Fill in the blanks to make the calculation correct.
a) 18 – 6 + 7 = ______
b) 21 – ( ____ × 3) = 9
c) 16 – (-3)2 = _____
4. The perimeter of the rectangle below is 18 cm.
a) Find the width of the rectangle.
Answer: _______________________cm
b) Find the area of the rectangle.
Answer: _______________________ cm2
c) A square with sides of length 3 cm is divided into three identically sized rectangles. These are then arranged as shown. What is the perimeter of the new shape?
5. The diagram below shows 4 triangular pieces of card.
The pieces can be put together to form geometric shapes. The cards can be turned upside down or rotated if necessary. On the grid below the 4 pieces have been put together to make a pentagon.
On each grid below draw a diagram to show how all 4 pieces of card could be put together to form the named shape.
6.
a) Round 649 to the nearest 100
Answer: _______________________
b) Round 832 to the nearest 10
Answer: _______________________
c) A number has been rounded to the nearest 10 to give 370. What is the smallest whole number possible?
Answer: _______________________
8. Find:
a) One third of £120
Answer: £_______________________
b) 40% of £728
Answer: £_______________________
9. A sleeper train travels from London to Glasgow. The train departs at 11:28 pm and arrives at 06:53 am.
a) How long does the journey take?
Answer: __________ hours____________minutes
b) A different train travels from London to Edinburgh at constant speed. The journey takes 3 hours and 30 minutes and the distance travelled is 420 miles. Calculate the speed of the train.
Answer: _______________________ mph
10.You are given the following five numbers: 34, 21, 35, 42, 28
a) Find the mean of these five numbers.
Answer: _______________________
b) Find the median for these five numbers.
Answer: _______________________
c) Find the range of these five numbers.
Answer: _______________________
d) A sixth number is added to the list and the mean changes to 33. Find what this sixth number was.
Answer: _______________________
11.The diagram shows a triangle and a line. The two angles marked 𝑦° are equal.
a) Work out the value of x
Answer: _______________________
b) Work out the value of y
Answer: _______________________
12.Draw the reflection of each shape in the mirror line as shown.
13.
a) Plot the point (4, -2) and label it B.
b) Plot the point that is midway between A and B and write down its coordinates below.
Answer: (____________,___________)
c) Point D is the point midway between the points C and E. Find the coordinates of the point E.
Answer: (____________,___________)
14.A set of solid towers are made by adding layers as shown below. The shape is solid inside with no missing blocks.
a) How many cubes are needed to build tower number 2?
Answer: _______________________
b) How many cubes are needed to build tower number 3?
Answer: _______________________
c) Without drawing it, how many cubes would be needed to build tower number 5?
Answer: _______________________
d) Which tower number would contain 120 cubes?
Answer: _______________________
15.Write all the square numbers between 1 and 100, inclusive, in the correct region in the diagram below.
Circle A needs to contain factors of 360.
Circle B needs to contain multiples 4.
You will need to put some numbers outside of the two circles.
16.The scatter plot shows the maths and science scores for 9 pupils.
a) Who had the highest score in maths?
Answer: _______________________
b) Who is good at science and poor at maths?
Answer: _______________________
c) The total of the two scores are added together. Who has the highest total?
Answer: _______________________
17. Some children in a class write down the first letter of their surname on a card; these cards are shown below:
A card is chosen at random.
a) Which letter is most likely to be taken?
Answer: _______________________
b) Give two letters that have the same probability of being chosen as an E?
Answer: ______________________
18. The diagram shows a design formed by drawing six lines in a regular hexagon. The lines divide each edge of the hexagon into three equal parts. What fraction of the hexagon is shaded?
Answer: _______________________
19.Whilst driving to work Alison noticed that there were nine lamp posts equally spaced along a road. The distance from the first to the third is 60m. How far is it from the first to the last?
Answer: _______________________
20.The perimeter of this shape is 40 units. The sides labelled x are all the same length. Find the length of one of these sides.
Answer: _______________________
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