FREE CHSPE Math Practice Test
TL;DR: If the California High School Proficiency Exam is your route, the math section is 50 multiple-choice questions covering number sense, algebra, geometry, and statistics, with a calculator allowed throughout. Take this free full-length CHSPE Math practice test for a realistic rehearsal. Time it like the real exam and grade honestly. You’ll know exactly which content area needs your next study session in plenty of time before test day.
Key takeaways:
- CHSPE Math has 50 scored multiple-choice questions plus 4 unscored field-test items.
- Calculator is allowed, bring your own approved scientific or graphing calculator.
- Content splits across Number Sense, Algebra, Geometry, and Statistics.
- Passing scaled score is 350 on each subtest (typically about 60-65% correct).
- Available three times per year, October, March, and June.
The Absolute Best Book to Ace the CHSPE Math Test
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:
1- A
2,500 out of 55,000 equals to \(\frac{2500}{55000}= \frac{25}{550}= \frac{1}{22} \)
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.<br />\(80^2 + 150^2 = c^2 {\Rightarrow} 6400 + 22500 = c^2 {\Rightarrow} 28900 = c^2 {\Rightarrow} c = 170\).</p>
<p>7- <strong>D</strong><br />To find the discount, multiply the number by (\(100{\%} – \)Rate of discount).<br />Therefore, for the first discount we get: \((200) (100{\%} – 15{\%}) = (200) (0.85) = 170\)<br />For the next \(15{\%}\) discount: \((200) (0.85) (0.85)\)</p>
<p>8- <strong>A</strong><br />Use PEMDAS (order of operation):<br />\(5 + 8 \times (-2) – [4 + 22 \times 5] \div 6 = 5 + 8 \times (-2) – [4 + 110] \div 6 = 5 + 8 \times (-2) – [114] \div 6 = 5 + (-16) – 19<br />5 + (-16) – 19 = -11 – 19 = -30\)</p>
<p>9- <strong>A</strong><br />\(x+2y=4\). Plugin the values of \(x\) and \(y\) from the choices provided. Then:<br />A. \((-2,3) x+2y=4(\rightarrow )-2+2(3)=4(\rightarrow )-2+6=4\) This is true!<br />B. \((1,2) x+2y=4(\rightarrow )1+2(2)=4(\rightarrow )1+4=4\) (This is NOT true!)<br />C. \((-1,3) x+2y=4(\rightarrow )-1+2(3)=4(\rightarrow )-1+6=4\) (This is NOT true!)<br />D. \((-3,4) x+2y=4(\rightarrow )-3+2(4)=4(\rightarrow )-3+8=4\) (This is NOT true!)</p>
<p>10- <strong>D</strong><br />Let \(x\) be the integer. Then:<br />\(2x – 5 = 83\)<br />Add 5 both sides: \(2x = 88\)<br />Divide both sides by \(2: x = 44\)</p>
<p>11- <strong>C</strong><br />\(11 \times 36 + 6 \times 12 + 4 = 472\)</p>
<p>12- <strong>C</strong><br />To find the number of possible outfit combinations, multiply number of options for each factor:<br />\(3 \times 5 \times 4 = 60\)</p>
<p>13- <strong>B</strong><br />Let \(x\) be the smallest number. Then, these are the numbers:<br />\(x, x+1, x+2, x+3, x+4 \)<br />average \(= \frac{sum of terms}{number of terms} \Rightarrow 38 = \frac{x+(x+1)+(x+2)+(x+3)+(x+4)}{5} \Rightarrow 38= \frac{5x+10}{5} \Rightarrow 190 = 5x+10 \Rightarrow 180 = 5x \Rightarrow x=36 \)</p>
<p>14- <strong>D</strong><br />Smallest 4, digit number is 1000, and biggest 4, digit number is 9999. The difference is: 8999</p>
<p>15- <strong>C</strong><br />The area of the floor is: 6 cm \(\times\) 24 cm = 144 cm\(^2 \)<br />The number of tiles needed \(= 144 \div 8 = 18\)</p>
<p>16- <strong>D</strong><br />The relationship among all sides of special right triangle<br />\(30^ \circ -60^ \circ – 90^ \circ \) is provided in this triangle:<br /><figure class=)
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:
\(40 \% \times 25\% = 0.40 \times 0.25 = 0.10 = 10\%\)
Looking for the best resource to help you succeed on the CHSPE Math test?
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
What is the CHSPE test?
The CHSPE, or California High School Proficiency Exam, lets eligible students age 16 or older earn a Certificate of Proficiency, which California law treats as equivalent to a high school diploma. It has two parts, Mathematics and English-Language Arts, and you must pass both. The math part is multiple choice and covers number sense, algebra, geometry and statistics.
Is there a CHSPE math practice test PDF?
Free CHSPE math practice tests are available as printable PDFs and online, and the official CHSPE website posts sample questions too. If you print a test, time yourself, work it in one sitting, then check each answer. For example, if someone saves $2,500 of a $55,000 monthly income, the fraction saved is 2,500/55,000 = 1/22.
What kind of questions are on the CHSPE math test?
CHSPE math questions are multiple choice and cover number sense, algebra, geometry and measurement, and statistics and probability. Expect fractions and percents, simplifying expressions, linear equations, area and volume, and reading data. A sample algebra item: (6x³ − 8x² + 2x⁴) − (4x² − 2x⁴ + 2x³) simplifies to 4x⁴ + 4x³ − 12x².
How can I practice for CHSPE math?
Start with one full practice test to find your weakest content area, then spend a few weeks on focused review. Work 20 to 30 problems a day, mixing new topics with ones you already know, and retake a full test every week or two to track progress. A scaled score of 350 is needed to pass the math section, so aim for steady accuracy.
Related EffortlessMath Lessons
If a topic on this page feels rusty, these short lessons go deeper:
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