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

1 and 2 feet.

Answer

3 and 4 feet.

Answer

4 and 5 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

True

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

False

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

True

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

20:23

Answer

40:25

Answer

50:800

Question 6

A company designed two rectangular maps of the same region. These maps are described below.

Map 1:
The dimensions are 8 inches by 10 inches.
The scale is 3/4 mile to 1 inch.

Map 2:
The dimensions are 4 inches by 5 inches.

Which ratio represents the scale on Map 2?

Accepted Answer

3/4 mile to 1/2 inch

Answer

1/2 mile to 3/4 inch

Answer

1/4 mile to 1 inch

Answer

3/8 mile to 1 inch

Question 7

Amanda asked a random sample of 40 students from her school to identify their birth month. There are 300 students in her school. Amanda’s data is shown in this table.

Which of these statements is best supported by the data?

Accepted Answer

There are probably more students at Amanda’s school with an April birth month than a July birth month.

Answer

Exactly 25% of the students in Amanda’s school have April as their birth month.

Answer

There are no students in Amanda’s school who have February as a birth month.

Answer

There are probably more students at Amanda’s school with a July birth month than a June birth month.

Question 8

The principal concluded that there was more variability in the number of books sold by Class 1 than Class 2. Which statement is true about the principal’s conclusion?

Accepted Answer

It is valid because the range for Class 1 is greater than the range for Class 2.

Answer

It is valid because the median for Class 1 is greater than the median for Class 2.

Answer

It is invalid because the minimum value for Class 1 is less than the minimum value for Class 2.

Answer

It is invalid because the interquartile range for Class 1 is less than the interquartile range for Class 2.

Question 9

In a class of 30 students, 18 students scored above 80% in a math test. What percentage of the class scored above 80%?

Accepted Answer

60%

Answer

30%

Answer

40%

Answer

75%

Question 10

If a rectangular swimming pool has a length of 20 meters and a width of 10 meters, what is the perimeter of the pool?

Accepted Answer

60 meters

Answer

20 meters

Answer

40 meters

Answer

100 meters