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Maths
GCSE

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.

The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. D...

Answered by James B. Maths tutor
7664 Views

A t-shirt is in two shops, both of which has it on sale. In shop A, the t-shirt originally cost £15, but has been reduced by 30%. In shop B, it used to cost £17 and has been reduced by 40%. In which shop is the t-shirt now cheaper, and by how much?

Shop A:30%=0.31-0.3=0.715x0.7=10.5 --> now £10.50 in Shop A
Shop B40%=0.41-0.4=0.617x0.6=10.2 --> now £10.20 in Shop B
£10.50-£10.20=£0.30=30p
The t-shirt is now cheaper in Shop B by ...

Answered by Freya R. Maths tutor
2777 Views

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.

Mean = Sum of all the numbers/How many numbers there are60=sum of all numbers/30 therefore 1800= sum of all the test scores of class54= sum of all the girls' scores/20 therefore 1080 = sum of all the girl...

Answered by Chimdi O. Maths tutor
6529 Views

There are 10 beads in a bag. Four beads are green, six are black. If three beads are taken at random without replacement, what is the probability that they are the same colour?

There are two possible outcomes in which all beads are the same colour: they may be all green, or all black. We need to work out the probability of each outcome to start with. This is done by multiplying ...

Answered by Tom W. Maths tutor
3962 Views

The equation of the line L1 is y = 3x – 2. The equation of the line L2 is 3y – 9x + 5 = 0. Show that these two lines are parallel.

The equation of a straight line is usually given in the form y = mx + c. To prove that two lines are parallel we will need to show that both lines have the same gradient. The gradient of a line is the slo...

Answered by Tanya K. Maths tutor
3547 Views

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