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Mathematics Problem Set

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Sarah is designing a cube-shaped garden box. If the volume of the box is 27 cubic feet, then the length of each side is expressed as a radical:

a)

√9

b)

9

c)

27

d)

√27

2.

The area of a square playground is 50 square meters. The length of one side of the playground is:

a)

7.07

b)

5.00

c)

9.00

d)

8.66

3.

Jake's science experiment involves doubling the number of bacteria every hour. If he starts with 5 bacteria, how many will there be after 6 hours? Express your answer in exponential form.

a)

5265 * 2^6

b)

5255 * 2^5

c)

6256 * 2^5

d)

5625 * 6^2

4.

A triangular sail has an area of 24 square feet. If the base of the triangle is 8 feet, find the height, expressed as a simplified radical.

a)

6

b)

3√2

c)

4√3

d)

2√6

5.

The volume of a spherical balloon is ⅓π(r³) cubic inches, where r is the radius. Given the volume is 36π cubic inches, determine the radius of the balloon expressed as a simplified radical.

a)

3√4

b)

3∛4

c)

6

d)

4

6.

Emily is calculating the diagonal of a rectangle. If the length is 12 cm and the width is 5 cm, what is the length of the diagonal expressed as a simplified radical?

a)

13

b)

5√2

c)

13√2

d)

12

7.

The half-life of a radioactive element is 2 days, and starting with 64 grams, the amount remaining after 6 days is 8/1.

a)

8/1

b)

4/1

c)

16/1

d)

32/1

8.

A company's profit doubles every year. If they made $10,000 in the first year, how much will they make in the 5th year? Express your answer in exponential form.

a)

100002410000 * 2^4

b)

100002510000 * 2^5

c)

100002610000 * 2^6

d)

100002710000 * 2^7

9.

The area of an equilateral triangle is given by the formula A = (√3 / 4)a², where a is the length of a side. If the area is 16√3 square inches, choose the length of one side.

a)

4

b)

6

c)

8

d)

10

10.

Tom is filling a cubic box with small cubes that have a side length of 2 inches. If the large box has a volume of 216 cubic inches, then the number of small cubes that can fit inside is:

a)

27

b)

54

c)

18

d)

36