what is the final total when a school size of 2100 pupils is increased by 18%?
![\ 100 + 18 = 118\](http://l.wordpress.com/latex.php?latex=%5C+100+%2B+18+%3D+118%5C+&bg=ffffff&fg=333333&s=0 "\ 100 + 18 = 118\")
![\frac{{118}}{{100}}\times \ 2100= 118 \times 21\](http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B%7B118%7D%7D%7B%7B100%7D%7D%5Ctimes+%5C+2100%3D+118+%5Ctimes+21%5C+&bg=ffffff&fg=333333&s=0 "\frac{{118}}{{100}}\times \ 2100= 118 \times 21\")
answer: new school size is 2478 pupils
percentages / % increase /problem 04
June 4, 2009
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percentages / % increase /problem 03
June 4, 2009
A car costing £15,000 has its price increased by 5%. What is its new price?
![\ 100 + 5 = 105\](http://l.wordpress.com/latex.php?latex=%5C+100+%2B+5+%3D+105%5C+&bg=ffffff&fg=333333&s=0 "\ 100 + 5 = 105\")
![\frac{{105}}{{100}}\times \ 15000= 105 \times 150\](http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B%7B105%7D%7D%7B%7B100%7D%7D%5Ctimes+%5C+15000%3D+105+%5Ctimes+150%5C+&bg=ffffff&fg=333333&s=0 "\frac{{105}}{{100}}\times \ 15000= 105 \times 150\")
answer: new price of car is £15,750
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percentages / % increase /problem 02
June 4, 2009
what is the new salary if the old salary of £300 per week is increased by 8%?
![\ 100 + 8 = 108\](http://l.wordpress.com/latex.php?latex=%5C+100+%2B+8+%3D+108%5C+&bg=ffffff&fg=333333&s=0 "\ 100 + 8 = 108\")
![\frac{{108}}{{100}}\times \ 300= 108 \times 3\](http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B%7B108%7D%7D%7B%7B100%7D%7D%5Ctimes+%5C+300%3D+108+%5Ctimes+3%5C+&bg=ffffff&fg=333333&s=0 "\frac{{108}}{{100}}\times \ 300= 108 \times 3\")
answer: new salary is £324 per week
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percentages / % increase /problem 01
June 4, 2009
What is the final figure when a sum of £2,500 is increased by 19% ?
![\ 100 + 19 = 119\](http://l.wordpress.com/latex.php?latex=%5C+100+%2B+19+%3D+119%5C+&bg=ffffff&fg=333333&s=0 "\ 100 + 19 = 119\")
![\frac{{119}}{{100}}\times \ 2500= 25 \times 119\](http://l.wordpress.com/latex.php?latex=+%5Cfrac%7B%7B119%7D%7D%7B%7B100%7D%7D%5Ctimes+%5C+2500%3D+25+%5Ctimes+119%5C+&bg=ffffff&fg=333333&s=0 "\frac{{119}}{{100}}\times \ 2500= 25 \times 119\")
answer: £2,975
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percentages / of a quantity /problem 06
June 4, 2009
What is 0.47% of 0.89 kg to 3 d.p. ?
![\ {\rm } = 0.004183\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+0.004183%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 0.004183\")
answer 0.47% of 0.89 kg is 0.004 kg (3 d.p.)
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percentages / of a quantity /problem 05
June 4, 2009
What is 0.07% of $517 to 2 d.p.?
![\ {\rm } = 0.3619\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+0.3619%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 0.3619\")
answer 0.07% of $517 is $0.36 (2 d.p.)
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percentages / of a quantity /problem 04
June 4, 2009
What is 17.5% of $9543 to 2 d.p.?
![\ {\rm } = 1670.025\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+1670.025%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 1670.025\")
answer 17.5% of $9543 is $1670.03 (2 d.p.)
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percentages / of a quantity /problem 03
June 4, 2009
What is 92% of $3,271 to the nearest $ ?
![\ {\rm } = 3009.32\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+3009.32%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 3009.32\")
answer 92% of $3.271 is $3009 (to the nearest $)
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percentages / of a quantity /problem 02
June 4, 2009
What is 45% of $2500 ?
![\ {\rm } = 45 \times 25\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+45+%5Ctimes+25%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 45 \times 25\")
![\ {\rm } = 1125\](http://l.wordpress.com/latex.php?latex=%5C+%7B%5Crm+%7D+%3D+1125%5C+&bg=ffffff&fg=333333&s=0 "\ {\rm } = 1125\")
answer 45% of $2500 is $1125
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introduction
June 3, 2009hi, welcome to the GCSE Maths Tutor Blog.
The blog is a resource for anyone interested in mathematics and wishing to improve their skills.
The blog is in its early stages but soon there will be many worked solutions here on a variety of topics in GCSE/secondary/High school math.
So feel free to browse. Feedback welcome.
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