# Mathematics Quiz: Can You Solve? Test

10 Questions | Total Attempts: 111

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• 1.
Solve for x: 2log x - log (30- 2x) = 1
• A.

-30

• B.

15

• C.

12

• D.

10

• 2.
The equation of a circle is given as x^2 + y^2 – 6x + 4y – 12 = 0, find its center?
• A.

C(3,2)

• B.

C(-3,2)

• C.

C(-3,-2)

• D.

C(3,-2)

• 3.
My sister Verna is 5 years older than I am. In 5 years, she will be 18 years old. How old am I today?
• A.

11

• B.

10

• C.

8

• D.

13

• 4.
A stone is dropped into a deep well and is heard to hit the water 3.41 sec after being dropped. Determine the depth of the well.
• A.

52.3 m

• B.

57 m

• C.

-52.3 m

• D.

-57 m

• 5.
A piece of wire is 12 inches long. The wire is cut into two pieces and then each piece is bent into a square. Find the length of the longer piece if the sum of the areas of these two squares is to be 3.5 in^2.
• A.

7

• B.

6

• C.

5

• D.

4

• 6.
What are the radius, r, and height h, of cylindrical oil that can hold 5 liters of oil but must have minimum surface area?
• A.

R = 9.27cm; h = 18.53cm

• B.

R = 1.26cm; h = 20.83cm

• C.

R = 5.4cm; h = 18.53cm

• D.

R = 15.9cm; h = 12.56cm

• 7.
For a given number (2, 2, 3, 6, 9), find the standard deviation of the sample?
• A.

1.73

• B.

0.04

• C.

1.14

• D.

2.73

• 8.
Enric wants to make a 100 ml vodka of 5% alcohol solution mixing a quantity of a 2% water solution with a 7% alcohol solution. What are the quantities of each of the two solutions (2% & 7%) he has to use?
• A.

25:75

• B.

50:50

• C.

30:70

• D.

40:60

• 9.
If x increases uniformly at the rate of 0.01 ft/sec, at what rate is the expression (2 + x )^3 increasing when x becomes 8 feet?
• A.

2 cfs

• B.

3 cfs

• C.

4 cfs

• D.

5 cfs

• 10.
Double my number and subtract 9; then you will get 67. What is my number?
• A.

25

• B.

38

• C.

37

• D.

27

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