CAASPP Math Practice Test (Gr11) 4

Question 1

A right triangle has legs of length 7 and 24. What is the length of the hypotenuse?

Accepted Answer

25

Answer

By the Pythagorean theorem: √(7² + 24²) = √(49 + 576) = √625 = 25.

Question 2

Which of the following is the inverse function of f(x) = (x - 3) / 2?

Accepted Answer

f⁻¹(x) = 2x + 3

Answer

Set y = (x-3)/2, swap x and y: x = (y-3)/2, solve for y: y = 2x + 3.

Question 3

A box contains 5 red and 3 blue marbles. Two are drawn without replacement. What is the probability both are red?

Accepted Answer

5/14

Answer

P = (5/8) × (4/7) = 20/56 = 5/14.

Question 4

What is the domain of f(x) = √(2x - 8)?

Accepted Answer

x ≥ 4

Answer

The radicand must be non-negative: 2x - 8 ≥ 0 → x ≥ 4.

Question 5

A geometric sequence has first term 6 and common ratio 1/3. What is the sum of the infinite series?

Accepted Answer

9

Answer

For an infinite geometric series with |r| < 1: S = a/(1-r) = 6/(1 - 1/3) = 6/(2/3) = 9.

CAASPP - California Assessment of Student Performance and Progress Practice Test