作为英国顶尖的私立混校，雷斯中学是唯一一所兼备住宿和走读的私立混校，该校的学术成绩十分优异，为社会培养了很多优秀的人才，比如神经科学家亨利·哈利特·戴尔、巴林现任国王King Hamad ibn Isa Al Khalifa、巴哈马副总理兼外交部长Brent Symonette、汤加国王Tupou VI……如此强大的校友圈，自然吸引了无数学子前往该校求学，可是，入读私校要经过笔试，下面，小编就为大家带来了雷斯中学The Leys School 10+数学入学考试笔试题型，希望对大家有所帮助：
Year 6 数学
允许时间:45分钟
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你有45分钟的时间来完成这个测试
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如果你没有完成，或者你不能理解所有的问题，不要担心。
SECTION 1: MULTIPLE CHOICE
Each question in this section is worth two marks.
Circle the correct answer.
1. Which of the following are factors of 60 greater than 10?
a. 12, 15, 20, 40 b. 6, 15, 20, 30 c. 15, 20, 30, 45 d. 12, 15, 20, 30
2. Here is a picture of Janet’s morning timetable at The Leys.
What is the total number of hours for English on this timetable?
a. 2.25 b. 3 c. 3.5 d. 4
3. What is the missing number from the following equation?
a. 8 b. 11 c. 12 d. 14
4. Which measurement is equivalent to 3850 grams measured in kilograms.
a. 0.385 kg b. 3.85 kg c. 38.5 kg d. 3, 850, 000 kg
5. The +, −, ×, ÷ signs have been left out of the following sum:
Which of the following expressions will not result in the correct result?
a. 12 × 4 ÷ 6 − 3 b. 12 − 4 − 6 + 3 c. 12 + 4 ÷ 6 − 3d. 12 ÷ 4 + 6 ÷ 3
6. How many months are there in one quarter of five years?
a. 10 b. 12 c. 15 d. 20
7. Which of the following shapes has one third of its area shaded?
8. How many lines of symmetry does the following star shape have?
a. 8 b. 6c. 4 d. 2
9. Rania adds a square number to a prime number and gets 35. Which of the following sums could Rania have been calculating?
a. 9 + 29b. 18 + 17c. 19 + 16 d. 25 + 10
10. Here is a rule for cooking roast partridge.
What is the weight of a partridge that takes 3 hours and 15 minutes to cook.
a. 300 gramsb. 400 gramsc. 500 grams d. 600 grams
SECTION 2: LONG ANSWER
Each question in this section is worth four marks.
Answer in the spaces provided.
11. Sofina did a survey of students at her school and asked them which was their favourite type of Jam. The results are presented in the table below.
(a) How many Year 11 students like Gooseberry Jam? ....................................
(b) What is the difference between the number people who prefer Strawberry Jam in Year 10 and Sixth Form?
Answer: ....................................................
(c) What percentage of those who liked Strawberry Jam were in the sixth form?
Answer: ....................................................
12. In the following multiplication grid, the row value times by the column value gives the value in the grid.
Use this grid to calculate the values of a, b, c and d.
Answer: a = ............. b = ............. c = ............. d = .............
13. A water bottle contains 800ml of lemonade. Anabel initially drinks one tenth of this. Then Byron drinks 40% of what remains. How much lemonade is left in the bottle?
Answer: ....................................................
14. For each of the pairs of numbers in the following table, circle either the fraction or the decimal that has the highest value.
15. Stephen has two cards, one is a right-angled triangle with width 4 cm and height 6 cm. The other is a rectangle with width that is 1 cm shorter and height that is 3 cm greater than the triangle. This is illustrated in the diagram below (which is not to scale).
16. Write a number in each box to make the calculations correct.
17. Consider the following table.
(a) Complete the formula below
(b) What is the value of b when a = 12
Answer: ....................................................
(c) What is the value of a when b = 124
Answer: ....................................................
18. The bar chart below shows the number of APs (good work) and Ws (bad work) that a grumpy mathematics teacher awards in the spring months.
(a) How many Ws were awarded in March?
Answer: ....................................................
(b) How APs were awarded overall?
Answer: ....................................................
(c) Describe the trend for the number of APs awarded.
Answer: ....................................................
(d) What was the ratio of APs to Ws in May. Leave your answer in the simplest form.
Answer: ....................................................
19. Brigid thinks of a whole number. She multiplies it by 3 and then adds 5. She then rounds it to the nearest 10. The answer she gets is 50.
Find the possible numbers with which she could have started.
Answers: ....................................................
20. On the coordinate grid below.
(a) Plot and label the points: A (3, 1) B (1, −2) C (−2, 0) D (0, 3)
(b) Give the name of the shape ABCD when these points are joined.
Answer: ....................................................
21. (a) Kevin buys three watermelons which cost £2.68 each and five pineapples which cost £1.42 each. He notices that this is exactly how much he just paid for two pairs of tracksuit trousers. How much does a pair of tracksuit trousers cost?
Answer: ....................................................
(b) Jean buys 10 watermelons. How much change does she get from a £50 note?
Answer: ....................................................
22. Complete the table below.
23. The solid A is a cube of dimension 4 cm. The solid B is a cuboid of dimensions 8 cm by 2 cm by y cm.
A and B have the same volume.
(a) Calculate the value of y.
Answer: ....................................................
(b) What is the total surface area of the cube, solid A.
Answer: ....................................................
SECTION 3: HARDER QUESTION
The question in this section is worth three marks.
only attempt to answer this if you have finished the rest of the paper.
24. Fill in the cross number below, by answering across and down the clues, using each of the digits 0 − 9 exactly once. There is only one solution that will work.
【微语】留学是成就梦想的起点，迎接未来的挑战。
