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OCR, 2016, Higher Maths: Rationalise the denominator 1/(1+sqrt(3))

First make sure they know are clear on what a rational number isAsk them to try multiplying 1 + sqrt(3) by different values to see how to make it a rational numberE.g. they might try (1+sqrt(3))²

Answered by Garima A. • Maths tutor

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Edexcel, 2016, Foundation Maths GCSE: A running club has 50 members. 30 members take part in road races, 15 members take part in fell races, 12 members do not run in road or fell races. How many members run both fell and road races?

Start with a Venn Diagram. Ask them to draw it out and put the numbers where they think the numbers should go. Talk about overlapping: e.g. imagine two paper circles that overlap. The middle portion is th...

Answered by Garima A. • Maths tutor

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Why does the rate of change of potential difference between two capacitor plates decrease as the capacitor discharges?

Current, I, is related to voltage by Ohm's law, I=V/R. As the capacitor discharges, the current will decrease as less charge is "released" from the capacitor. From Ohm's law, w...

Answered by Francis T. • Physics tutor

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A rectangle has a total perimeter of 32cm with sides of length '3x' and 'x+8'. Solve for x.

3x + x+ 8 + 3x + x + 8 = 328x + 16 = 328x = 16x = 2

Answered by Sai P. • Maths tutor

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What is osmosis and how does it differ from diffusion

osmosis is the movement of water Across a semi permeable membrane. Water molecules more from an area of high water concentration to an are of low water. This would bean water would move from an area where...

Answered by Kathryn F. • Biology tutor

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