(Регулярный ТОП-5 Великобритании) Westminster School challenge. Подробный разбор 3-го этапа. 2018

В этом видео подробно разбираем третью (заключительную) часть вступительного экзамена в одну из самых престижных школ Великобритании: Westminster School.

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Тайм-коды:
0:00 Вступление
2:40 №1. Ravi scored 65 marks out of a total of 90 in French.
In Mathematics, he scored 80 marks out of a total of 110.
Did he get a higher percentage in French or Mathematics? Show clearly how you decide
6:10 №2. Initially, the amounts of money Alex, Ben and Chris have are in the ratio 7: 8 : 3. Then, Alex and Ben each give Chris £1; after that Ben and Chris have the same amount of money. How much should Ben and Chris each now give to Alex so that all three boys have the same amount of money?
11:35 №3. A driver travels a total distance of 312 miles.
21:33 №4. In a school, 5/12 of the pupils are boys and 7/12 are girls.
32:25 №5. In 2015, a shop made 25% more profit than in 2014, and in 2016, the shop made 25% more profit than in 2015. In 2017, the shop made the same profit as in 2014. What was the percentage reduction in the shop’s profits between 2016 and 2017?
40:05 №6. When Tom is training, he runs x miles and then cycles y miles.
50:20 №7. Two regular polygons are drawn: polygon A and polygon B.
56:00 №8. The diagram shows a right angled triangle and three squares. One square has area 80 cm2, as shown. The triangle has area 30 cm2.
59:08 №9. In the diagram, ABCD and PBQ are straight lines and triangle BPC is isosceles with BP = BC
1:05:40 №10. I have some tins of red paint and some tins of white paint, all of the same size, and I want to make some pink paint by mixing red and white paint. If I mix tins of red and white paint in the ratio 3 : 4, I can use all my tins of white paint and have one tin of red paint left over. If I mix tins of red and white paint in the ratio 4 : 5, I can use all my tins of red paint and have one tin of white paint left over. In what ratio should I mix tins of red and white paint to have no tins of either colour left over?
1:12:00 №11. A square, or cube, number is defined as one that can be written as the square, or cube, of a whole number.
1:30:45 №12. Find all the positive whole numbers a and b which satisfy the following equation
1:40:28 №13. The symbol M means “multiply by 2” and the symbol A means “add 2”.
1:53:02 №14. The diagram below shows an isosceles triangle, T, in a square. The letters a and b represent some of the lengths (in centimetres) in the figure.
2:03:48 Заключение