1.### What is the result of 15 divided by 3 times 2 plus 5?

Answer:
20

2.### Which term describes a polygon with all sides and angles equal?

Answer:
Regular

Explanation:

A regular polygon is defined as having all sides and all angles equal. This is distinct from an equilateral polygon, which specifically refers to equal sides, and a regular shape fulfills both conditions, having equal sides and angles.

3.### Simplify: (-3)^2

Answer:
9

Explanation:

When you square a negative number, such as -3, the result is positive because a negative multiplied by a negative gives a positive. Thus, (-3) times (-3) equals 9.

4.### What is the prime factorization of 60?

Answer:
2^2 x 3 x 5

Explanation:

Divide 60 by the smallest prime number 2, giving 30. Divide 30 by 2 again, giving 15. Then divide 15 by 3, giving 5, which is a prime number. The prime factors of 60 are thus 2 squared (because 2 is used twice), 3, and 5.

5.### Calculate the area of a triangle with a base of 10 cm and a height of 14 cm.

Answer:
70 cm squared

Explanation:

The area of a triangle is found using the formula: area = (base x height) / 2. Plugging in the values, (10 x 14) / 2 equals 70. Therefore, the area is 70 square centimeters.

6.### Solve for x if 4x + 5 = 21.

Answer:
4

Explanation:

To isolate x, first subtract 5 from both sides of the equation, giving 4x = 16. Then divide both sides by 4, resulting in x = 4. This value satisfies the original equation when checked.

7.### What is the volume of a cube with side length 3 cm?

Answer:
27 cm cubed

Explanation:

The volume of a cube is calculated by raising the side length to the power of three. For a cube with side length 3 cm, the volume is 3 x 3 x 3, which equals 27 cubic centimeters.

8.### If the circumference of a circle is 31.4 cm, what is its diameter? (Use pi approximately equal to 3.14)

Answer:
10 cm

Explanation:

The formula for the circumference of a circle is pi times the diameter. Rearrange to find the diameter: diameter = circumference/pi. Thus, 31.4 / 3.14 equals 10 cm.

9.### Convert 1500 milliliters to liters.

Answer:
1.5 liters

Explanation:

Since 1000 milliliters make up one liter, to convert milliliters to liters, divide by 1000. Therefore, 1500 milliliters divided by 1000 equals 1.5 liters.

10.### What is the probability of rolling an even number on a standard six-sided die?

Answer:
1/2

Explanation:

A standard six-sided die has three even numbers: 2, 4, and 6. With six possible outcomes, the probability of rolling an even number is the number of favorable outcomes divided by the total outcomes, which is 3/6 or simplified to 1/2.

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