CHSPE Math FREE Sample Practice Questions

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 \(=2x\)
Perimeter of the rectangle is \(2 (width + length)\) \(= 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10\)
The 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 of 6 numbers is
\(12 {\times} 6 = 72\)
(average of 4 numbers) 10 \(= \frac{sum \space of \space terms}{4}{\Rightarrow}\) sum of 4 numbers is \(10 {\times} 4 = 40\)
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 \(x\).
\(40\%\) of \(x=4{\Rightarrow} 0.40 x=4 {\Rightarrow} x=4 {\div}0.40=10\)

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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 of 5 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 boy 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 shoe \($6000\) at most.
Now, write the inequality:
\(120x+14,000 {\leq}20,000\)

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If you need more than these sample 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

What is the CHSPE test?

The CHSPE (California High School Proficiency Exam) is a California test that lets eligible students earn a Certificate of Proficiency, which state law treats as equal to a high school diploma. It has two sections, mathematics and English language arts, and you need a passing scaled score of 350 on each. The math section covers number sense, algebra, geometry and statistics.

Is there a free CHSPE practice test?

Yes. The official CHSPE website posts free practice material, and sample sets like this one give you a quick check of the math topics. Try a few, time yourself, and see which areas need work. For example, if a square has area 595.36, its side is √595.36 = 24.4, so its perimeter is 4 × 24.4 = 97.6.

Is there a CHSPE practice test PDF?

You can print the official CHSPE practice materials and many sample sets to work on paper, which is a good way to show your steps and spot errors. Write out each solution in full. A typical item: a rectangle’s width is twice its length and its perimeter is 60 m, so 2(2x + x) = 60, 6x = 60 and the length is 10 m.

What kinds of questions are on a CHSPE math sample test?

CHSPE math sample questions are multiple choice and focus on practical algebra, percents, averages and basic geometry. One common type uses averages: if 6 numbers average 12 and 4 of them average 10, the other 2 sum to 72 − 40 = 32, so they average 16. Another: if 40% of a number is 4, the number is 4 ÷ 0.40 = 10.

How do you answer math multiple choice questions?

Work the problem first, then match your answer to the choices. If you get stuck, cross out choices that are clearly too big, too small or the wrong type, and plug the rest back into the question. On a CHSPE-style item such as 40% of x = 4, testing x = 10 gives 0.40 × 10 = 4, which confirms the answer. Never leave a question blank.

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