1. increase percentage problem

Hi guys

I am having problems with this example, not sure how I would go about this without using a calculator.

All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
or above increased from 85% in the mock exam to 93% in the actual exam.
How many more pupils gained grade C or above in the actual exam than in the mock exam?

Thank you

2. Originally Posted by shaz09
Hi guys

I am having problems with this example, not sure how I would go about this without using a calculator.

All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
or above increased from 85% in the mock exam to 93% in the actual exam.
How many more pupils gained grade C or above in the actual exam than in the mock exam?

Thank you
What is 85% of 300? What is 93% of 300? What is the difference between those two numbers?

3. Not sure what you mean

but do you mean turn to fraction so 85% would become 17/20

? how would i do this to 93?

4. Originally Posted by shaz09
All 300 Year 11 pupils in a school took GCSE English. The number of pupils gaining grade C
or above increased from 85% in the mock exam to 93% in the actual exam.
How many more pupils gained grade C or above in the actual exam than in the mock exam?
The increase: 93 - 85 = 8%
1% of 300 = 3 ; so 8% = 24 ; follow that?

5. thank you, I never knew that before

6. Are you really saying you do not know how to find a percentage of a number?

I asked "what is 85% of 300". That is: 0.85*300= 255.

I asked "what is 93% of 300". That is: 0.93*300= 279

Since 255 students got a "C" or better the first time and 279 got a "C" or better the second time, they improved by 279-255= 24 students.

Of course, Wilmer's method works too. But I think this is a little more direct.

7. well

Hard to tell, Mr Hall.
He seems to be trying to find the easiest way to solve without calculator.
So I guess he'll get as many "answers" as there is "responders"!

8. Hi Hall

I am revising for a exam which I have to do as part of my course, you can take as many times. I am not trying to do a home work or anything like that, the exam has 16 questions and they are all mental articmatic questions. you have 54 secs to complete the question.

Without using a calculator, I find this hard however i am revising and trying to find the best methods to answer the questions quickly.

Thank you

9. Percentage problems

Hi guys

Having problems with these types of questions

for example say in a class of 30, 40% achieved half marks or above. How many people have gained less then half marks

Okey so we have 40% and 30 students

60% have gained less then half marks

we can make this 3/5 and then divide 30 by 5 to make it 6 and then * 6 by 3

Is this right?

10. $\text{60}\% \;\text{of}\; 30 = \frac{3}{5} \cdot 30 = 18$