Top 10 HSPT Math Practice Questions to Boost Your Score

Mastering the HSPT Math Section

The High School Placement Test (HSPT) is a critical step for students seeking admission to private high schools. The math section can be challenging, but you can boost your confidence and score with the proper practice questions. Here are the top 10 HSPT math practice questions to help you prepare effectively.

 

1. Algebraic Expressions

Solve the equation: 2𝑥+5=17 

To solve for 𝑥, subtract 5 from both sides:

2𝑥=12

Then, divide by 2:

𝑥=6

2. Simplifying Fractions

Simplify the fraction: 18/24​​

Find the greatest common divisor of 18 and 24, which is 6. Divide both the numerator and the denominator by 6:

3. Percentages

What is 20% of 150?

To find 20% of 150, multiply 150 by 0.20:

150 × 0.20 = 30

4. Geometry: Area of a Triangle

Calculate the area of a triangle with a base of 10 cm and a height of 5 cm.

Use the formula for the area of a triangle: 1/2 × base × height:

1/2 × 10 × 5 = 25 cm

5. Ratios and Proportions

If 4 notebooks cost $12, how much do 7 notebooks cost?

First, find the cost of one notebook:

12/4=3 dollars

Then, multiply by 7:

3 × 7 = 21 dollars

6. Word Problems

A train travels 60 miles per hour: How far does it travel in 3 hours?

Multiply the speed by the time:

60 × 3 = 180 miles

7. Integer Operations

What is the sum of -7 and 12?

Add the integers:

−7+12=5

8. Probability

What is the probability of rolling a 3 on a six-sided die?

The probability is:

1/6​

9. Mean, Median, Mode

Find the mean of the numbers 4, 8, 6, and 10.

Add the numbers together:

4+8+6+10=28

Then, divide by the number of values:

28/4=7

10. Pythagorean Theorem

In a right triangle, find the hypotenuse length if one leg is 3 cm and the other is 4 cm.

 

                                                           

These HSPT math questions will enhance your problem-solving skills and confidence. Consistent practice and understanding the concepts behind these questions are crucial to achieving a high score on the HSPT. Good luck with your preparation!