作为英国三大贵族男校之一,汤布里奇公学集古典与现代于一身,距今已有450多年的历史,该校不仅拥有优良的体育运动系统,而且该校的学术成绩斐然,每年有将近四分之一的学生入读牛津大学。因此,越来越多的学生去该校留学,可是入读私校要经历笔试,下面,小编就为大家带来了汤布里奇公学Tonbridge school year7数学入学考试笔试题库,希望对大家有所帮助:
数学
时间:1小时
总分100分
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1. The bar chart shows the number of pupils in the four year 7 classes at a certain school.
a) How many girls in class 7D?
b) How many boys in total in all four classes?
c) What is the ratio of boys to girls in class 7B? Give your answer in its simplest form。
2. Four friends are shopping in their local supermarket.
a) Anton buys a chocolate bar for £0.84 and a can of drink for £0.78. How much do they cost in total?
b) Boris buys a tube of suncream that costs £8.62. How much change does he receive from a £10 note?
c) Bottles of vintage lemonade cost £1.37. Charles buys 5 of these. What is the total cost?
d) Danny buys six doughnuts which cost a total of £2.76. How much does each doughnut cost?
3. Calculate
a) 4 + 5 × 3 − 2
b) 3 × 22
4. From the list of numbers: 5, 6, 8, 23, 27, 45, 72
(You may use each number more than once or not at all)
a) A factor of 12
b) A multiple of 15
c) A prime number bigger than 10
5.
a) Write 0.2 as a fraction in its lowest terms.
b) Write these numbers in order from the smallest to the largest:
6. A packet of sweets contains 15 red, 25 blue and 10 green. A larger packet of sweets has the colours in the same ratio and contains 22 green. How many blue are there in the larger packet.
7. The number of goals scored by a Tonbridge hockey team in their four matches last season were: 4, 6, 1, 6
a) Find the mean number of goals scored.
b) Find the median number of goals scored.
c) What is the range of the number of goals scored?
8. If 𝑎 = 3, 𝑏 = 5 and 𝑐 = −2, find the value of;
a) 𝑎𝑏2
b) (𝑏𝑐)2
9. Calculate, giving your answers as fractions or mixed numbers;
10. Simplify
a) 7𝑎 − 4𝑎 + 2𝑎 − 𝑎
b) 3𝑏 × 𝑏2
11. Write down the next two terms of the following sequences;
a) 2, 4, 7, 11, … …
d) Find the fourth term
12. A tennis racket costs £85 originally. In a sale it is reduced by 15%. What is the sale price?
I score 42 out of 48 on a test. What percentage is that?
13. In the diagram below the straight lines ABG and DEF are parallel. Lines CB and EG are also parallel. Find the angles marked 𝑎, 𝑏, 𝑐 in the diagram.
The diagram is not drawn accurately.
14. Solve the equations (showing clear working);
a) 3𝑥 − 4 = 20
b) 2 − 𝑥 = 3(1 − 𝑥)
15. Draw;
a) A quadrilateral with no line of symmetry but order two rotational symmetry,
b) A trapezium with a line of symmetry,
c) A rhombus with the two diagonals having lengths 6cm and 4cm.
16. Using some or all of the digits 1,3,5,7,0 make;
(each digit may only occur once so the three digit number 113 is not allowed but 507 is)
a) A three digit even number
b) The smallest three digit multiple of 5
c) The largest possible multiple of 3 (this does not have to be a three digit number and may have more digits).
17. Find the total area of the shaded regions. The diagram is not drawn accurately。
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