FREE CHSPE Math Practice Test

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10 Sample CHSPE Math Practice Questions

1- Mr. Jones saves $2,500 out of his monthly family income of $55,000. What fractional part of his income does he save?

A. \(\frac{1}{22} \)

B. \(\frac{1}{11} \)

C. \(\frac{3}{25} \)

D. \(\frac{2}{15} \)

2- Four one-foot rulers can be split among how many users to leave each with \(\frac{1}{6} \) of a ruler?

A. 4

B. 6

C. 12

D. 24

3- Simplify the expression.
\((6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 )\)

A. \(4x^3-12x^2\)

B. \(4x^4+4x^3-12x^2\)

C. \(8x^3-12x^2\)

D. \(x^4+4x^3-12x^2\)

4- In two successive years, the population of a town is increased by \(15\%\) and \(20\%\). What percent of the population is increased after two years?

A. \(32\%\)

B. \(35\%\)

C. \(38\%\)

D. \(68\%\)

5- What is the surface area of the cylinder below?
\(\)

A. \(48 {\pi} \space in^2\)

B. \(57 {\pi} \space in^2\)

C. \(66 {\pi} \space in^2\)

D. \(288 {\pi} \space in^2\)

6- A cruise line ship left Port A and traveled 80 miles due west and then 150 miles due north. At this point, what is the shortest distance from the cruise to port A in miles? ____________

7- A shirt costing $200 is discounted \(15\%\). After a month, the shirt is discounted another \(15\%\). Which of the following expressions can be used to find the selling price of the shirt?

A. \((200) (0.70)\)

B. \((200) – 200 (0.30)\)

C. \((200) (0.15) – (200) (0.15)\)

D. \((200) (0.85) (0.85)\)

8- \(5 + 8 \times (- 2) – [4 + 22 \times 5] \div 6 = ? \)

A. \(-30\)

B. \(-20\)

C. \(-10\)

D. 0

9- Which of the following points lies on the line \(x+2y=4\)?

A. \((-2, 3)\)

B. \((1, 2)\)

C. \((-1, 3)\)

D. \((-3, 4)\)

10- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

11- 11 yards 6 feet and 4 inches equal to how many inches?

A. 388

B. 468

C. 472

D. 476

12- Mr. Carlos’s family is choosing a menu for their reception. They have 3 choices of appetizers, 5 choices of entrees, and 4 choices of cake. How many different menu combinations are possible for them to choose from?

A. 12

B. 32

C. 60

D. 120

13- The average of five consecutive numbers is 38. What is the smallest number?

A. 38

B. 36

C. 34

D. 12

14- What is the difference between the smallest 4-digit number and the biggest 4-digit number?

A. 6666

B. 6789

C. 8888

D. 8999

15- How many tiles of 8 cm\(^2 \) are needed to cover a floor of dimension 6 cm by 24 cm?

A. 6

B. 12

C. 18

D. 24

16- A ladder leans against a wall forming a \(60^ \circ \) angle between the ground and the ladder. If the bottom of the ladder is 30 feet away from the wall, how long is the ladder?

A. 30 feet

B. 40 feet

C. 50 feet

D. 60 feet

17- The average weight of 18 girls in a class is 60 kg, and the average weight of 32 boys in the same class is 62 kg. What is the average weight of all the 50 students in that class?

A. 60

B. 61.28

C. 61.68

D. 62.90

18- An angle is equal to one-fifth of its supplement. What is the measure of that angle?

A. 20

B. 30

C. 45

D. 60

19- In a stadium, the ratio of home fans to visiting fans in a crowd is 5:7. Which of the following could be the total number of fans in the stadium?

A. 12,324

B. 42,326

C. 44,566

D. 66,812

20- If \(40\%\) of a class are girls, and \(25\%\) of girls play tennis, what percent of the class play tennis?

A. \(10\%\)

B. \(15\%\)

C. \(20\%\)

D. \(40\%\)

Best CHSPE Math Prep Resource for 2026

Answers:

2- D
\(4 \div \frac{1}{6} = 24 \)

3- B
Simplify and combine like terms.
\((6x^3-8x^2+2x^4 )-(4x^2-2x^4+2x^3 ) {\Rightarrow} (6x^3-8x^2+2x^4 )-4x^2+2x^4-2x^3 {\Rightarrow}
4x^4+4x^3-12x^2\)

4- C
the population is increased by \(15\%\) and \(20\%\).
\(15\%\) increase changes the population to \(115\%\) of original population.
For the second increase, multiply the result by \(120\%\).
\((1.15) \times (1.20) = 1.38 = 138\%\)
38 percent of the population is increased after two years.

5- C
Surface Area of a cylinder \(= 2\pi\) r (r + h),
The radius of the cylinder is \(3(6 \div 2)\) inches and its height is 8 inches. Therefore,
Surface Area of a cylinder \(= 2\pi (3) (3 + 8) = 66\pi\)

6- 170
Use the information provided in the question to draw the shape.

In this triangle, the opposite side of \(30^ \circ \) angle is half of the hypotenuse.
Draw the shape for this question:
The latter is the hypotenuse. Therefore, the latter is 60 ft.

17- B
average \(= \frac{sum of terms}{number of terms}\)
The sum of the weight of all girls is: \(18 \times 60 = 1080\) kg
The sum of the weight of all boys is:\( 32 \times 62 = 1984\) kg
The sum of the weight of all students is: \(1080 + 1984 = 3064\) kg
average \(= \frac{3064}{50}=61.28 \)

18- B
The sum of supplement angles is 180. Let \(x\) be that angle. Therefore,
\(x + 5x = 180\)
\(6x = 180\), divide both sides by 6: \(x = 30\)

19- A
In the stadium the ratio of home fans to visiting fans in a crowd is \(5:7\). Therefore, total number of fans must be divisible by \(12: 5 + 7 = 12.\)
Let’s review the choices:
A. \(12,324: 12,324 \div 12 = 1027\)
B. \(42,326: 42,326 \div 12 = 3,527.166\)
C. \(44,566: 44,566 \div 12 = 3,713.833\)
D. \(66,812: 66,812 \div 12 = 5,567.666\)
Only choice A when divided by 12 results a whole number.

20- A
The percent of girls playing tennis is:
\(40 \% \times 25\% = 0.40 \times 0.25 = 0.10 = 10\%\)

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The Best Books to Ace the CHSPE Math Test

Recommended EffortlessMath Books

For a workbook to pair with this practice test, the CHSPE Math for Beginners walks through every CHSPE topic with worked examples. For full California equivalency-exam prep with multiple timed practice tests, see the CHSPE Math Test Prep Bundle.

Frequently Asked Questions

How many questions are on the CHSPE Math?

50 scored multiple-choice questions plus 4 unscored field-test questions. You won’t know which 4 are the field-test items, so answer everything as if it counts. The combined CHSPE (Math plus Language Arts) is given over a single 3.5-hour testing session with breaks.

Is a calculator allowed on the CHSPE?

Yes — bring your own approved scientific or graphing calculator. The CHSPE official site posts an updated list of allowed models. Banned: anything with a QWERTY keyboard, cell phones, calculators with text storage or wireless capability. Check your calculator against the list before test day.

What’s a passing score on the CHSPE Math?

The scaled passing score is 350 on each subtest. That typically translates to roughly 60-65% of questions correct, though the exact number varies slightly with each form’s equating. You need to pass both subtests (Math and Language Arts) to earn the Certificate of Proficiency.

What topics are on the CHSPE Math?

Four content areas: Number Sense (about 20% — arithmetic, fractions, decimals, percents, ratios), Patterns and Algebra (about 25% — linear equations, slope, basic functions), Geometry and Measurement (about 25% — area, volume, the Pythagorean theorem, angles), and Statistics, Data Analysis, and Probability (about 30% — mean, median, mode, reading charts, basic probability).

How long do I have for the math section?

The combined CHSPE gives you about 3.5 hours for both subtests. You can spend that time however you choose between Math and Language Arts. Most test-takers spend roughly 90 minutes on Math (giving them about 1 minute 45 seconds per question), leaving the rest for Language Arts plus breaks.

Can I take just the math section?

No. You must take both Math and Language Arts together at the same administration. However, if you pass one subtest and not the other, you only need to retake the failed subtest on a future test date — your passing score on the other carries forward.

Who is eligible to take the CHSPE?

California residents 16 or older who meet specific enrollment criteria. You can be 16 and currently enrolled in school (with one year of attendance in 10th grade), 16 with 10th grade completed, or 17.5 or older regardless of enrollment status. Out-of-state residents are not eligible — the CHSPE is California-only.

Is the Certificate of Proficiency the same as a high school diploma?

Legally, yes — for almost every purpose. California law requires that the Certificate of Proficiency be treated as equivalent to a high school diploma for employment and most college admissions. Some highly selective four-year colleges may still prefer a diploma, but UC, CSU, and the California Community Colleges accept the Certificate.

How should I prepare for the CHSPE Math?

Take this full-length practice test first as a diagnostic. Identify the topics where you missed the most questions, drill those for 2-4 weeks (depending on how rusty your math is), then take another full-length practice test 1-2 weeks before the real CHSPE. The pattern of diagnostic, focused review, retest is what builds reliable improvement.

Where can I find more CHSPE Math practice?

EffortlessMath has the CHSPE Math Formula Cheat Sheet, free CHSPE sample practice questions, the Top 10 CHSPE Math practice questions page, the CHSPE Math for Beginners workbook covering every topic, and the CHSPE Math Test Prep Bundle with multiple timed practice tests.

Related EffortlessMath Lessons

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

• CHSPE Math Formula Cheat Sheet
• Top 10 CHSPE Math practice questions
• CHSPE Math practice test questions
• CHSPE Math sample practice questions
• All free CHSPE Math practice tests