RICAS Mathematics Reasoning 3

Question 1

A garden is shaped like a right triangle with legs of 9 m and 12 m. What is the length of the hypotenuse?

Accepted Answer

15 m

Answer

Using the Pythagorean theorem: √(9² + 12²) = √(81 + 144) = √225 = 15 m.

Question 2

Which of the following is a rational number?

Accepted Answer

√16

Answer

√16 = 4, which is a whole number and therefore rational.

Question 3

The inequality 3x − 4 > 11 is satisfied by which value of x?

Accepted Answer

x = 6

Answer

3x > 15 → x > 5; only x = 6 satisfies this.

Question 4

A spinner has 8 equal sections numbered 1–8. What is the probability of spinning a prime number?

Accepted Answer

1/2

Answer

Primes from 1–8 are 2, 3, 5, 7 — four primes — so probability = 4/8 = 1/2.

Question 5

What is 15% of 240?

Accepted Answer

36

Answer

15% × 240 = 0.15 × 240 = 36.

(RICAS) Rhode Island State Practice Test