作为一所位于伦敦市地标建筑旁边的学校，伦敦城市中学是英国顶尖私立男校，该校创建于1442年，距今已有500多年的历史，该校不仅拥有着完善的教学设施，而且学术成绩也十分优异，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，下面，小编就为大家带来了2024年伦敦城市中学City of London School 11+数学入学考试笔试题型，希望对大家有所帮助：
11+数学
1. For this question you can do rough working on the left hand side of the page if required. Put answers only in the spaces on the right.
3. I buy 7 drinks at 72p each, and 9 sandwiches at £1.21 each.
How much change do I get from a £20 note?
£…………………….……………
4. Reflect the letters in the mirror line below. Three letters have been done for you.
£…………………….……………
6. The thermometers below show the temperature recorded at midday yesterday and midnight last night.
(i) What was the temperature midday yesterday in °F?
…………………….……………°F
(ii) What was the temperature midnight last night in °C?
…………………….……………°C
(iii) What was the difference in temperature between midday yesterday and midnight last night in °C?
…………………….……………°C
7. How many minutes are there between 9.23 am and 1.06 pm?
…………………….……………minutes
8.
(i) What fraction of the above design is shaded? Give your fraction in its simplest form.
…………………….……………
(iii) What fraction of the large rectangle below is shaded?
…………………….……………
9. (i) Write 15% as a fraction in its simplest form.
…………………….……………
(ii) Rowan sends 7 text messages each day.
A £5 credit buys him 140 text messages.
Today he received an extra 15% free text messages when he bought his £5 credit.
How many days should the credit last? Show your working.
…………………….……………days
Quickest …………………….…………… Slowest…………………….……………
11. The diagram below shows two overlapping rectangles.
i) Calculate the area of the larger rectangle only.
…………………….……………cm2
ii) Calculate the total shaded area that the rectangles cover.
…………………….……………cm2
12. The diagram below shows a rectangle and a square. The diagrams are not drawn to scale.
If they have equal perimeters, what is the difference in their area?
…………………….……………cm2
13. Calculate the size of the missing angle in this triangle. The diagram is not drawn to scale.
…………………….……………°
14. (a) Find the size of angle ‘𝑎’ in the diagram below.
𝑎 = ….……………°
(b) Would you describe 100°? Acute, obtuse or reflex?
…………………….……………
15. A right angled triangle is shown below. It is not drawn to scale.
(i) Calculate the perimeter of the triangle.
…………………….……………cm
(ii) Calculate the area of the triangle.
…………………….……………cm2
16.
The diagram above is not drawn to scale.
(i) A box measures 20cm by 11cm by 15cm. Calculate the volume of the box.
…………………….……………cm3
(ii) A string is tied around the box with a bow at the top as shown in the diagram. If the length of the bow is 8 cm, calculate the total length of string used.
…………………….……………cm
18. What is 4 − ((4 + 4) ÷ 4)?
…………………….……………
19. 1001 = 𝑎 × 𝑏 × 𝑐, where a, b and c are prime numbers, with c is bigger than b, and b bigger than a.
Find a, b and c
a = ………., b = ………., c = ……….
20. Given that 2357 × 99 = 233 343, find:
(i) 233 343 ÷ 99
…………………….……………
(ii) 235∙7 × 99
…………………….……………
22. Four bells ring at intervals of 2, 8, 7 and 11 seconds.
If they are all rung at the same time, how many seconds will pass before they all ring at the same time again?
You should show some justification for your answer.
…………………….…………… seconds
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