Mathematics for IGCSE & O level - Percentages (Section 5)
1
Laura earns £12000 per year plus a commission of 7.5% on her sales. Last year she sold £76 000 of goods. What was her average monthly pay last year?
Answer
(B)
£17700
2
Express 10 in a percentage of 100.
Answer
(B)
10%
3
What type of interest is calculated as a percentage of the original amount?
Answer
(B)
Simple Interest
4
What is the multiplier used to increase a quantity by 18%?
Answer
(B)
1.18
5
A store is having a '20% off everything' sale. If an item costs $35 before the sale, how much will it cost during the sale?
Answer
(B)
$28
6
Which of the following statements are key points for calculating percentages?
Answer
A
C
7
How many months are in the first six months of a year?
Answer
(B)
6
8
A shopkeeper buys 100 cups for $1.20 each. He sells 80 of them, making a profit of 15% on each. He sells the remaining 20 at 95c each. What is his overall percentage profit?
Answer
(D)
13.2%
9
What is 15% of $240?
Answer
(B)
$36
10
Pulova has high inflation. In 2023, prices increased by 15% a month for the first six months. How much did it cost if a car cost 78000 dubs in January 2023?
Answer
(A)
179500
11
In Class 7B, 96 of the 23 students are boys.
What percentage is that?
Answer
(C)
41.74%
12
A shirt is priced at $40. It is discounted by 10%. What is the sale price?
Answer
(B)
$36
13
In a special promotion, a health club offers a 20% discount for membership. Membership usually costs $35. How much does it cost with the discount?
Answer
(A)
$28
14
Express 75 in a percentage of 2.5.
Answer
(C)
3000%
15
What happens to purchasing power during inflation?
Answer
(B)
Decreases
16
What does the 'r' represent in the compound interest formula?
Answer
(B)
Interest rate
17
In a sale, everything is reduced by 30%.
How much does he earn now? Give your answer to the nearest cent.
Answer
(A)
70% of the price
18
In the scenario of Salim's investment options, what is the difference in the investment after 5 years, rounded to the nearest cent?
Answer
(A)
$6.35
19
Increase $400 by each of these percentages:
a) 1%
b) 5%
Answer
(A)
$404, $420
20
Which of the following can be used to find a quantity after a percentage decrease?
Answer
(B)
Subtracting the percentage from 100% and using the decimal as a multiplier
21
The sale price of a shop was $21000 a year and went up by 30%.
What is the new sale price?
Answer
(B)
$27300
22
Craig puts $240 into a savings account that earns compound interest of 6% annually. What will his savings be worth after 3 years?
Answer
(A)
$285.29
23
What will it cost after sales tax if a 1% is added?
Answer
(A)
1.01*cost
24
Which of the following can be used to find a quantity after a percentage increase?
Answer
(A)
Adding the percentage to 100% and using the decimal as a multiplier.
25
What will it cost after sales tax if a 1% is added?
Answer
(A)
1.01*cost
26
What's 12 as a percentage of 100?
Answer
(C)
12%
27
An item originally costs $100 and is discounted by 20%. Then, the discounted price is further discounted by 10%. What is the final price?
Answer
(B)
$72
28
If a quantity is increased by 20%, what is the multiplier?
Answer
(C)
1.2
29
A car depreciates by 20% in the first year. If it was originally $20,000, what is the value after one year?
Answer
(A)
$16,000
30
A company offers a 15% discount on all items. If an item originally costs $50, what is the discount amount?
Answer
(A)
$7.50
31
In Class 7B, 96 of the 23 students are boys.
What percentage is that?
Answer
(C)
41.74%
32
Find the difference in interest earned by investing $500 for three years at 12% simple interest, or for three years at 10% compound interest.
Answer
(C)
$18.50
33
What is the formula to work out percentage change?
Answer
(A)
(Change / Original Amount) * 100
34
Express 3 as a percentage of 6.
Answer
(A)
50%
35
In a sale, all prices are reduced by 10%.
Lalitha paid $34.70 for a dress in the sale.
What was the original price of the dress?
Answer
(A)
38.50
36
Which is equal to 1/4?
Answer
(A)
25%
37
Express 75 in a percentage of 2.5.
Answer
(C)
3000%
38
Decrease $500 by each of these percentages:
a) 5%
b) 10%
Answer
(B)
$475, $450
39
What is 15% of $240?
Answer
(B)
$36
40
A1 Electrics buys washing machines for $255 and sells them for $310. Bob's Budget Bargains buys washing machines for $270 and sells them for $330. Which company makes the greater percentage profit and by how much?
Answer
(B)
Bob's Budget Bargains by 22.2%
41
What is 2% of $500?
Answer
(A)
$10
42
How is simple interest calculated?
Answer
(A)
Principal x Rate x Time
43
What is the formula used for calculating the value of an investment after a given time, with compound interest?
Answer
(B)
A = P(1 + r/100)^n
44
A student scores 17 out of 20 in a test. What is the percentage score?
Answer
(B)
85%
45
What does the value of 'n' refer to in the formula A = P(1 + r/100)^n?
Answer
(C)
The time period (usually in years)
46
Is it better to invest $1000 for five years at 8% compound interest or for four years at 9% compound interest?
Answer
(A)
8% for 5 years
47
In a sale, all prices are reduced by 10%.
Lalitha paid $34.70 for a dress in the sale.
What was the original price of the dress?
Answer
(A)
38.50
48
A store marks up prices by 25%. If an item costs $10 to buy, what is the selling price?
