Free HSA Mathematics Questions and Answers

Question 1

A carpenter used exactly 25 feet of wood to make 9 shelves of equal length. Each shelf measured between:

Accepted Answer

2 and 3 feet.

Answer

Explanation:
To find the length of each shelf, divide the total length of wood (25 feet) by the number of shelves (9).

25 feet/9 shelves ≈ 2.78 feet

So, each shelf measures approximately 2.78 feet.

Therefore, the correct answer is 2 and 3 feet.

Question 2

The level of the top of the water in the ocean is considered to be at an altitude of zero (0) feet.
‥ The ocean floor at a particular dive site is − 20 feet.
‥ A diver is located at − 5 feet at that same site.
‥ The captain of a boat is located at an altitude of 15 feet, directly above the diver.

The distance from the captain to the diver is greater than the distance from the top of the water to the ocean floor.

Accepted Answer

False

Answer

Explanation:
The statement is False because the distance from the captain to the diver is the same as the distance from the top of the water to the ocean floor, both being 20 feet.

Question 3

The level of the top of the water in the ocean is considered to be at an altitude of zero (0) feet.
‥ The ocean floor at a particular dive site is − 20 feet.
‥ A diver is located at − 5 feet at that same site.
‥ The captain of a boat is located at an altitude of 15 feet, directly above the diver.

The distance from the captain to the top of the water is the same as the distance from the diver to the ocean floor.

Accepted Answer

True

Answer

Explanation:
True. Since the diver is at -5 feet and the captain is at 15 feet, the vertical distance between them is 20 feet. This is the same as the depth of the ocean floor, which is also 20 feet below the surface. Therefore, the distance from the captain to the top of the water is the same as the distance from the diver to the ocean floor.

Question 4

The level of the top of the water in the ocean is considered to be at an altitude of zero (0) feet.
‥ The ocean floor at a particular dive site is − 20 feet.
‥ A diver is located at − 5 feet at that same site.
‥ The captain of a boat is located at an altitude of 15 feet, directly above the diver.

When the diver swims to − 10 feet, the diver will be the same distance below the top of the water as the captain is above the top of the water.

Accepted Answer

False

Answer

Explanation:
When the diver swims to -10 feet, they are 10 feet below the top of the water (which is at 0 feet altitude). At the same time, the captain of the boat remains at an altitude of 15 feet above the top of the water. Therefore, the diver will not be at the same distance below the top of the water as the captain is above it.

Question 5

In art class, Marvin painted tiles to use for a project. For every 5 tiles he painted blue, he painted 8 tiles green.

Identify the equivalent ratio(s) of blue tiles to green tiles.

Accepted Answer

60:96

Answer

Explanation:
60:96 is an equivalent ratio of blue tiles to green tiles.

HSA - Hawaii State Assessment Practice Test

HSA - Hawaii State Assessment Practice Test

Free HSA Mathematics Questions and Answers