(Part 1) Can you solve these maths problems-percentages and fractions?

Question

Can any maths genius solve these maths problems with some working out?

1. Mr Green decided that he should recycle his rubbish if possible. In one week his rubbish weighed 25kg. He was able to recycle 16kg of it.

a. What fraction did he recycle?

b. What percentage is this?

2. Guillaume scored 64 marks out of a possible 70 in his physics exam and 57 out of 60 in his chemistry exam.

a. What are these scores as percentages?

b. In which exam did he get the higher mark?

4. Catherine invests $60 000 in a high- interest savings account. Each year 6% interest is added to the amount in her account.

a. How much interest will she get after one year?

b. How much will she have in her account after one year?

c. How much interest will she get after the second year?

d. How much will she have in her account after the second year?

e. How many years will it be before she has more than $75 000 in her account?

Answer 1

1. a.: 16 / 25 = 64 / 100 = 0.64
b.: 0.64 * 100 = 64%

2. a.:
1.: 64 / 70 = 0.914 = 91.4%
2.: 57 / 60 = 0.95 = 95%

b.: he got the higher mark in 2nd exam

4. a.: 60000 / 100 = 600 * 6 = 3600
b.: 60000 + 6% = 60000 + 3600 = 63600
c.: 636 * 6 = 3816
d.: 63600 + 3816 = 67416
e.: 4 years

Answer 2

1. a) 16/25
b) 64%
2. a) $ 3,600
b) $ 63,600
c) $ 3,816
d) $ 67,416
e) 4 years