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Maths
GCSE

Work out the value of x and y in the parallelogram ABCD.

5x - 20 = 2x +43 -> 5x-2x= 43+20 -> 3x=63 -> x=21 therefore x=21 

(2x+43) + (4y-5x)=180  -> 2x+43+4y-5x=180 (because adjacent angles in a parallelogram equals 180) 

4y-3x=180-43 ...

KS
Answered by Kwarteng S. Maths tutor
21959 Views

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 se...

OL
Answered by Oliver L. Maths tutor
2947 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 mar...

CG
Answered by Callum G. Maths tutor
3157 Views

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, 2.818(3/5) + 3.518(2/5) No calculator paper, so check ability to do accurately arithmetic as above and make sure to think about...

RT
Answered by Rhys T. Maths tutor
3613 Views

A rectangular path has perimeter of 240m. If the rectangle is split lengthways, two paths of 160m are formed. Work out the lengths of the sides of the original path.

Firstly, make sure to draw a picture! Worded questions are used to catch people out. Drawing a diagram makes solving certain problems much easier.

Secondly, notice that we are asked for two pieces ...

HD
Answered by Henry D. Maths tutor
3576 Views

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