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n sweets, 6 are orange, the rest are yellow. Sophie takes at random a sweet. She eats the sweet. Sophie then takes at random another sweet. She eats the sweet. The probability that Sophie eats two orange sweets is 1/3. Show that n² – n – 90 = 0

If Sophie takes a sweet from the bag on her first selection, there is a 6/n chance it will be orange. That’s because there are 6 oranges and n sweets. If Sophie takes a sweet from the bag on her second selec...
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Answered by Oliver L. • Maths tutor
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When do I use the imperfect and preterite tenses?

While both the imperfect and preterite tenses are used to refer to actions in the past, they are used under different circumstances. In general, the preterite tense is used when talking about completed actio...
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Answered by Lucy R. • Spanish tutor
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How can I ensure that I demonstrate a wide range of skills in such a short space of time (i.e. during an exam) in order to achieve higher marks?

I find the most effective way to ensure that you show off all of your skills during a short period (such as an exam) is to create a checklist of stock phrases that you can memorise and use during your exam. ...
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Answered by Emma B. • French tutor
3087 Views

Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3 Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if unde...
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Answered by Callum G. • Maths tutor
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White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Understanding of the ratio: 2+3=5, 3/5 is white, 2/5 blue, 2.8 18 (3/5) + 3.5 18 (2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about the answer as co...
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Answered by Rhys T. • Maths tutor
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