*This Math quiz is called 'Numbers - Percentages - Increases and Decreases 2' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

When calculating increases or decreases of percentages, always divide by the original amount. Put your numbers hat on and practice with the following Math quiz on the subject. If you get 100% in this quiz, you've cracked it!

1.

A burger now costs £3.75 after a 3% reduction in price. What was the original price of the burger?

£2.88

£3.17

£3.87

£4.44

2.

The price of a concert ticket is £33 after a 7% increase. What is the original price of the ticket?

£30.84

£31.11

£33.65

£34.86

3.

The Green family bought a house five years ago for £97,000. They sell it for £185,000. What is their percentage profit (to the nearest 1%)?

81%

85%

89%

91%

4.

Barbara bought a box of 35 pens for £40.25. She sold all the pens for £1.70 each. What was her percentage profit?

39.4%

40.7%

45.8%

47.8%

5.

A beehive increases by 7% a day. Initially there are 1,250 bees. How many will there be after a week?

1,620

1,800

2,000

2,007

6.

What percentage is 8.5 of 68?

12

12.5

13

13.5

7.

What percentage of 68 is 10.2?

15

17

17.5

20

8.

Michelle bought a caravan for £13,500 and sold it two years later for £11,200. What is the percentage loss?

13%

14%

15%

17%

9.

Due to severe weather, a polar bear colony goes from 328 bears to 246. What percentage decrease is this?

20%

22%

25%

26%

Remember, the change is always compared with the original value

10.

Pete's hourly wage goes up from £7.20 to £7.56. What percentage increase is this?

3%

4%

5%

6%

The increase is 36p. To work out the percentage 0.36 / 7.2 = 0.05 = 5%

The next step is:

If you are a student, sign up for an individual subscription.

If you are a school, sign up for a free 30-day trial.

M = P( 1 + i )n

Here, M = the final number of bees; P = the initial number of bees; i = the percentage increase (if it is a decrease, it will be negative; n = the number of days (but it could be weeks/months/years or any time period, depending on the problem) and it is the POWER to which (1 + i) has to be raised. Plug in the numbers and do the calculation