# FREE NBT Quantitative Literacy Questions and Answers

#### If a circle has a radius of 5 centimeters, what is its circumference?

Explanation:

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Substituting the given radius value of 5 centimeters into the formula, we get C = 2π(5) = 10π cm. Therefore, the circumference of the circle is 10π cm.

#### A school band consists of 40 learners. Five of the learners play the drums, 10 learners play the guitar, 3 learners play the flute, 2 learners play the saxophone and the rest of the learners play the trumpet. If a learner in the school band is picked at random, what is the probability that this learner plays the guitar?

Explanation:

To find the probability of picking a learner who plays the guitar, divide the number of learners who play the guitar (10) by the total number of learners in the band (40). So, 10 learners who play the guitar ÷ 40 total learners = 0.25 or 25%. This means there is a 25% chance of randomly selecting a learner who plays the guitar from the school band.

#### What is the square root of 144?

Explanation:

The square root of 144 is the number which, when multiplied by itself, gives 144, which is 12.

#### A primary school has 40 teachers and 160 learners in the school. What is the ratio of teachers to learners?

Explanation:

To find the ratio of teachers to learners, divide the number of teachers by the number of learners. So, 40 teachers ÷ 160 learners = 1:4. This means for every 1 teacher, there are 4 learners in the school.

#### If a car travels at a speed of 60 miles per hour for 3 hours, how far does it travel?

Explanation:

Distance traveled = speed × time = 60 miles/hour × 3 hours = 180 miles.

#### What is the next number in the sequence: 2, 5, 8, 11, ___?

Explanation:

The sequence increases by 3 each time, so the next number is 11 + 3 = 14.

#### A triangle has angles measuring 30°, 60°, and 90°. What is the measure of the largest angle?

Explanation:

In a triangle, the sum of all angles is always 180°. So, 180° - 30° - 60° = 90°.

#### What is the volume of a cube with a side length of 3 units?

Explanation:

The volume of a cube is calculated by V = side length × side length × side length = 3 × 3 × 3 = 27 cubic units.

#### A bag contains 12 red marbles, 8 blue marbles, and 5 green marbles. What is the probability of randomly selecting a blue marble?

Explanation:

The probability of selecting a blue marble is the number of blue marbles divided by the total number of marbles, which is (8 blue marbles) / (12 + 8 + 5) = 8 / 25 = 2/3.

#### If a shirt costs $20 and is on sale for 25% off, what is the sale price?

Explanation:

25% of $20 is $5, so the sale price is $20 - $5 = $15.

#### What is the perimeter of a rectangle with length of 6 units and a width of 4 units?

Explanation:

The perimeter of a rectangle is calculated by adding all four sides: 6 + 6 + 4 + 4 = 24 units.