CHSPE Math Practice Test Questions

These CHSPE Math practice questions are designed to be similar to those found on the real CHSPE Math test. They will assess your students’ level of preparation and will give them a better idea of what to study on their exams. For additional educational resources, .

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12

C. 14

D. 16

6- If \(40\%\) of a number is 4, what is the number?

A. 4

B. 8

C. 10

D. 12

7- The average of five numbers is 24. If a sixth number 42 is added, then, which of the following is the new average?

A. 25

B. 26

C. 27

D. 42

8- The ratio of boys and girls in a class is 4:7. If there are 44 students in the class, how many more boys should be enrolled to make the ratio 1:1?

A. 8

B. 10

C. 12

D. 14

9-What is the slope of the line: \(4x-2y=6\):___________

10- A football team had $20,000 to spend on supplies. The team spent $14,000 on new balls. New sports shoes cost $120 each. Which of the following inequalities represent the number of new shoes the team can purchase.

A. \(120x+14,000 \leq 20,000\)

B. \(20x+14,000 \geq 20,000\)

C. \(14,000x+120 \leq 20,000\)

D. \(14,000x+12,0 \geq 20,000\)

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Answers:

2- B
\(Probability = \frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes} = \frac{18}{12+18+18+24} = \frac{18}{72} = \frac{1}{4}\)

3- B
The area of the square is 595.36. Therefore, the side of the square is the square root of the area.
\(\sqrt{595.36}=24.4\)
Four times the size of the square is the perimeter:
\(4 {\times} 24.4 = 97.6\)

4- A
The width of the rectangle is twice its length. Let \(x\) be the length. Then, width=2\(x\)
Perimeter of the rectangle is \(2 (width + length) = 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10 \)
Length of the rectangle is 10 meters.

5- D
average \(= \frac{sum \space of \space terms}{number \space of \space terms} {\Rightarrow} (average \space of \space 6 \space numbers) \space 12 = \frac{sum \space of \space terms}{6} ⇒sum \space of \space 6 \space numbers\space is \)
\(12 {\times} 6 = 72\)
\((average \space of \space 4 \space numbers) \space 10 = \frac{sum \space of \space terms}{4}{\Rightarrow} sum \space of \space 4 \space numbers \space is \space 10 {\times} 4 = 40\)
sum of 6 numbers – sum of 4 numbers = sum of 2 numbers
\(72 – 40 = 32\)
average of 2 numbers = \(\frac{32}{2} = 16 \)

6- C
Let \(x\) be the number. Write the equation and solve for \(x\).
\(40\% \space of \space x=4{\Rightarrow} 0.40 \space x=4 {\Rightarrow} x=4 {\div}0.40=10\)

7- C
First, find the sum of five numbers.
average \(=\frac{ sum \space of \space terms }{ number \space of \space terms } ⇒ 24 = \frac{ sum \space of \space 5 \space numbers }{5}\)
\( ⇒ sum \space of \space 5 \space numbers = 24 × 5 = 120\)
The sum of 5 numbers is 120. If a sixth number that is 42 is added to these numbers, then the sum of 6 numbers is 162.
120 + 42 = 162
average \(==\frac{ sum \space of \space terms }{ number \space of \space terms } = \frac{162}{6}=27\)

8- C
The ratio of boys to girls is 4:7.
Therefore, there are 4 boys out of 11 students.
To find the answer, first, divide the total number of students by 11, then multiply the result by 4.
\(44 {\div} 11 = 4 {\Rightarrow} 4 {\times} 4 = 16\)
There are 16 boys and 28 \((44 – 16)\) girls. So, 12 more boys should be enrolled to make the ratio 1:1

9- 2
Solve for y.
\(4x-2y=6 {\Rightarrow} -2y=6-4x {\Rightarrow} y=2x-3\)
The slope of the line is 2.

10- A
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase 120 \(x\).
The team had $20,000 and spent $14000. Now the team can spend on new shoes $6000 at most.
Now, write the inequality:
\(120x+14,000 {\leq}20,000\)

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Recommended EffortlessMath Books

If you need a structured workbook to pair with these practice questions, the CHSPE Math for Beginners walks through every CHSPE topic with worked examples. For multiple complete timed practice tests, the CHSPE Math Test Prep Bundle rounds out the prep.

Frequently Asked Questions

How many questions are in this practice set?

About 10 questions, designed for a focused 20-30 minute practice session. The full CHSPE Math has 50 scored questions (plus 4 unscored). Use this set to build comfort with the question style before moving to a full-length practice test closer to your test date.

Are these questions blueprint-aligned?

Yes. Each question maps to one of the four official CHSPE Math content areas — Number Sense, Patterns and Algebra, Geometry and Measurement, and Statistics — in roughly the same proportions you’ll see on the real test.

Is a calculator allowed?

Yes. The CHSPE allows your own approved scientific or graphing calculator on the math section. These practice questions match that policy — use a calculator while you work through them.

What topics are most heavily weighted?

Statistics, Data Analysis, and Probability is the largest single content area (about 30% of the test). Patterns and Algebra is next (about 25%). Geometry and Measurement is also about 25%. Number Sense rounds out the remaining 20%. The topic mix in this practice set reflects those proportions.

What’s a passing CHSPE Math score?

The scaled passing score is 350 on each subtest. That typically corresponds to about 60-65% of questions correct, though the exact threshold varies slightly with the equating process used for each form. You need to pass both Math and Language Arts to earn the Certificate of Proficiency.

How does the CHSPE compare to the GED or HiSET?

The CHSPE is California-only and accepts test-takers as young as 16. The GED and HiSET are accepted nationwide and generally require age 18. CHSPE Math is slightly easier than GED or HiSET Math — it’s all multiple-choice, no extended-response, and the calculator policy is more flexible.

Can I take the CHSPE Math without Language Arts?

No. The two subtests are given together at the same administration. If you pass one and not the other, you only need to retake the failed subtest at a future test date. Your passing score on the other subtest stays valid.

When is the CHSPE offered?

Three times per year — typically October, March, and June. Registration deadlines are about a month before each test date. Check the official CHSPE website for the current year’s exact schedule and deadlines.

How should I use this practice set?

Use it as a focused study session — pick a quiet time, set 30 minutes aside, work through the 10 questions with your calculator, then review the answers. Note which topics gave you trouble. Spend the next week or two reviewing those specific topics before moving on to a full-length practice test.

Where can I find more CHSPE practice?

EffortlessMath has a free full-length CHSPE Math practice test, the Top 10 CHSPE Math practice questions, free CHSPE sample practice questions, the CHSPE Math Formula Cheat Sheet, the CHSPE Math for Beginners workbook, and the CHSPE Math Test Prep Bundle.

Related EffortlessMath Lessons

If a topic on this page feels rusty, these short lessons go deeper:

• Free full-length CHSPE Math practice test
• Top 10 CHSPE Math practice questions
• CHSPE Math sample practice questions
• CHSPE Math Formula Cheat Sheet
• All free CHSPE Math practice tests