Find out the area of the circle, Mathematics

1. The number of accidents attended to by 6 emergency ambulance stations during a 5 month period was:

Station May June July Aug Sep

     A        21     20     22    37    37

     B        32     33     30    52    38

     C        36     36     38    48    33

     D        31     32     34    37   36

     E        26     26     25    29   22

     F         34    38      36    47   36

i. What was the percentage increase (rounded to the nearest whole number) in the number of emergencies attended during September compared to May for all of the stations combined?

ii. What was the approximate average increase in the number of emergencies attended to by all stations in August compared to July?

iii. If based on the September figures the statistics for the month of October show that the number of emergencies attended to by station D and F have increased by 25% and the number attended to by station B has decreased by 16%, what would be the difference in the total number of emergencies attended by these three stations in October compared with September?

2. The sources of income (displayed as percentages) of 5 Australian Universities in 1 year were as follows:

Source                      A     B     C     D     E

Public Funds             48    46    54    46    58

Research Contracts  21    16     20   19    16

Investments             16    10     12   19    10

Conferences              8     14      9     6      5

Vacation Lettings      4      8       3     7      6

Donations                 3      6       2     3       5

i. Which 2 universities received the same proportion of their income from public funds and research contracts combined?

ii. Which University received the greatest proportion of its total income from research contracts, investments and vacation lettings combined?

3. What is the missing number?

            45/9 = 12 - ?

4. (2x + 5)(x - 7) =

5. W = s3t2 : If s = -2 and t = 4, then W =

6. Reduce this fraction : 5b2xz/40b3xy

7. A circle has a diameter of 8 cm. If π = 22/7, what is the area of the circle? (to 1 decimal place)

8. If 8x = 512, then x =

9. In the right angled triangle ABC, where AB is the hypotenuse, the sine of angle ABC =

10.,If two aircraft started at the same time fly towards each other from bases 600 km apart, the first at an average ground speed of 200km per hour and the second at an average ground speed of 250km per hour, how many minutes will it take for them to meet?

11. If 3x = 81, what is the value of x?

12. Give the number that corresponds with the question mark (?) in the following

addition problem:

     6 8

+   7 ?

  1 ? 2

Posted Date: 3/7/2013 5:08:50 AM | Location : United States







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