Which of the following is the appropriate unit of a measure to express the weight of a pen?

A. Liter

B. Milliliter

C. Gram

D. Kilogram

Answer Explanation:

Although we can measure the mass of the pen in kilogram, the unit is quite large and is not appropriate for measuring small objects. Liter and milliliter are units of measuring volume. Thus, gram is the appropriate unit for measuring weight of a pen.

Therefore, the Correct Answer is C.

Q #1: A circle has an area of 144 in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. \(18 \pi in\)

B. \(6 \pi in\)

C. \(12 \pi in\)

D. \(24 \pi in\)

Answer Explanation

We need to find the circumference of the circle.

Before finding the circumference of a circle, we need to find the radius of the circle from the given area.

Let r be the radius of the circle, then the area of the circle is:

Substituting the value of area in the above equation

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle with the given area is 12 in, and the circumference of the circle becomes:
Q #2: Which of the following is the best estimate of the number of centimeters (cm) in 10 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 720 cm

B. 880 cm

C. 960 cm

D. 914 cm

Answer Explanation
Q #3: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 5 feet and a hypotenuse of 17 feet? (Round to the nearest tenth.)

A. 18 feet

B. 14.4 feet

C. 9.8 feet

D. 16.2 feet

Answer Explanation

We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.

First, we label the triangle as below and let the unknown length be x.

Then, we apply the Pythagoras theorem to find the value of x as:

We take square-root on both sides

The value of the unknown length is 16.2 feet.