Percentage Problems
WALT: calculate percentage
Percentage
1
Show your working for these problems:
What is ½ as a percentage?
What is ¼ as a percentage?
What is ⅕ as a percentage?
What is 0.12 as a percentage?
If a game cost $50 but it was on sale for 10 percent off, how much would it cost on sale?
Per 100
1
There are lots of different ways to calculate percentage. For example to find 10% of 50 we could:
0.10 x 50 = 5. 10/50 = 5/100
Find the percentage of the following sums and show your working:
10% of 400 =
20% of 300 =
25% of 800 =
40% of 900 =
45% of 500 =
Show your working for these problems:
2
35 % of 380
55% of 760
3% of 800
9% of 700
A $195 ring was sold with a discount of 20%. How much was it sold for?
Troy got a 5% discount of a car worth 14,000. How much did he pay for the car?
Practical Percentage
2
Solve the following problems. Don’t forget to show your working!
The school soccer team won 12 of its 20 games this year. What percentage of games has it won?
Jacob got 35 of the 40 spelling words correct so far this year. What percentage did Jacob get right?
The store offered a $10 discount on a pair of shoes. What is the percentage of the discount offered?
Of the 320 students in years 5-8, 190 walk to school, 40 come by bus, 20 are dropped off and the remaining students bike to school. What percentage of students bike.
Practical Percentage
2+
If 28% of Television is advertisements, how many minutes each hour can you expect to be advertisements?
Justice earns $70,000 in his career as a lawyer, but he pays 22% of it in tax. How much does he actually earn?
Nevayah earns $15,000 a year working at her part time job for Fresh while she studies at University. She only pays 12% of it in tax. How much does she actually earn?
The price of petrol is expected to rise by 4%. At present it is $2.28 a litre. What will the new price be?
Percentage Problems
3
One cola drink has 39g of sugar in a 355g can. Another has 27g of sugar in a 250g can. Which can has the greatest percentage of sugar?
One brand of cereal had 380g fruit and nuts in a 1.2kg pack. Another had 170g of fruit/nuts in a 500g pack. In which packet would you get more fruit/nuts?
On any given day the school expects 8% of students to be absent. How many of the 145 students in team 5 would be expected to be present?
79% of students in NZ gain enough credits to pass level 2 NCEA in year 12. If there were 62, 878 year 12 students in the country, how many students would fail?
Practical Percentage
3
AJ gets a job where he will be paid $20 an hour. He works 15 hours a week but pays 6 percent of his earnings to his kiwisaver. How money will he pocket each week?
In our team run, 15 of the 150 finish in under 4 minutes, 60 finish in under ten and everyone finishes in under 16 minutes. What percentage of the 150 students finish in less than ten minutes?
The average cost of owning a dog is $1571 a year. Vet bills are 23% and other non food costs account for 18%. What is the average cost of dog food for a year?
A real estate agent sells a house for $550 500 and gets paid a 3.5% commission. She must then pay a third of this commission on tax. What amount could she earn?
Practical Percentage
3
If 20% of Hinerangi’s savings is the same as $60, how much money has she saved up altogether?
Amelia saved $33.25 or 17.5% of the original price on a new jacket. How much was the original price?
If Paikea was voted to be a house captain with 53.4 % of the vote (566 votes), how many students voted in the election?
Dairy farmers are paid $0.58 per litre for milk which is 31.8% of what the milk sells for in the supermarket. How much would it cost to buy 2 litres of milk at the supermarket?