Last Updated on May 23, 2024

CHSPE Math Practice Test 2023: The best way to improve your student’s Math skills is to review practice questions. The answers to the following questions will help students improve their CHSPE Test Prep. These CHSPE Math practice questions are designed to resemble those on the real CHSPE Math test 2023.

## CHSPE Math Practice Test 2023

Test Name | CHSPE Practice Test |

Section | Math |

Region | California |

Test Type | Multiple choice question |

Total Questions | 50 |

Questions type | Sample test |

**Q1.** Which is equivalent to \frac23 of \frac35

- A. 0.1
- B. 0.4
- C. 0.5
- D. 0.9

**Q2.** Simplify \sqrt{675}

- A. 5 \sqrt{3}
- B. 10 \sqrt{3}
- C. 13 \sqrt{2}
- D. 15 \sqrt{3}

**Q3**. Which inequality is false?

- A. \sqrt{0.253} > 10^{-5}
- B. \sqrt{6} < \frac52
- C. \frac59 > \frac{11}{20}
- D. 9 < \sqrt{65}

**Q4**. At a toy store, 4 stuffed animals cost $48.25. Which proportion can be used to determine the cost of 12 stuffed animals?

**Q5.** The two figures shown are similar. What is the scale factor for the two figures, in the lowest terms?

- A. 2 to 5
- B. 6.75 to 14.25
- C. 8 to 7
- D. 9 to 8

**Q6.** A model of the front face of a roof is shown.

if a roof shingle covers 0.5m², what is the best estimate for how many shingles you need to cover the front face of the actual roof? [Assume no overlap.]

- A. 264
- B. 8640
- C. 2388
- D. 4775

**Q7**. What is 47.25% of 1102?

- A. 110.20
- B. 520.695
- C. 260.375
- D. 581.305

**Q8**. The number 21 is a factor of all of these numbers except:

- A. 21
- B. 105
- C. 189
- D. 241

**Q9.** What is the least common multiple of 9, 90, and 127?

- A. 3
- B. 9
- C. 1270
- D. 11,430

**Q10.** Density is defined as the amount of matter present in a given volume of a substance, or mass divided by volume. if you determine that 2.75 kilograms of a substance have a volume of 810 millilitres, what is the density of the substance?

- A. 0.003 kg/L
- B. 0.93 kg/L
- C. 2.95 kg/L
- D. 3.40 kg/L

**Q11. **What is the area of a circle with a circumference of 8 inches?

- A. 1.62 square inches
- B. 5.09 square inches
- C. 10.18 square inches
- D. 50.24 square inches

**Use the figure to answer Questions 12 and 13.**

**Q12**. What is the length of the outside border of the entire figure?

- A. 27.6m
- B. 37.2 m
- C. 51.34 m
- D. 65.47 m

**Q13.** What is one-half the area of the shaded region? Use 3.14 for π and round to the nearest tenth.

- A. 51.9 m²
- B. 163.0 m²
- C. 262.8 m²
- D. 334.8 m²
- E. 352.7 m²

**Q14.** What is the surface area of the rectangular prism, to the nearest hundredth?

- A. 279.69 square inches
- B. 559.38 square inches
- C. 782.03 square inches
- D. 1118.8 square inches

**Q15.** The height of a triangular mirror is 4 feet more than twice its base. Find the height of the mirror if the area of the mirror is 255 square feet.

- A. 12 feet
- B. 15 feet
- C. 34 feet
- D. 36 feet

**Q16.** Which type of transformation is shown below

- A. translation
- B. rotation
- C. reflection
- D. slide

**Q17.** How many lines of symmetry does a regular pentagon have

- A. 0
- B. 3
- C. 4
- D. 5

**Q18.** If ∠FGH ≅ ∠FKL, what is the measure of KL?

- A. 3
- B. 3.3
- C. 6
- D. 6.3

**Q19.** In the right triangle shown, what is the value of x?

- A. 22
- B. 32
- C. 52
- D. 62

**Q20.** Which of the given lengths do not form a right triangle

- A. √7, √3, 5
- B. 25, 40, √975
- C. 2, 7, √53
- D. 6, 8, 10

**Q21.** Given that QSAP ~ YZWX, what is the absolute value of the difference of the two perimeters?

- A. 4
- B. 24
- C. 54
- D. 94

**Q22.** A garden is in the shape of a right triangle. If one leg is 20 feet long and the hypotenuse is 25 feet long, how many square feet of fertilizer is needed to spread across the top of the garden?

- A. 150 square feet
- B. 187.5 square feet
- C. 300 square feet
- D. 225.5 square feet

**Q23.** If an equilateral triangle has side lengths of 22 yards, what is the area of the triangle, to the nearest square yard?

- A. 19 square yards
- B. 121 square yards
- C. 105 square yards
- D. 210 square yards

**Use the data in the table for Questions 24-28. The table shows the five longest rivers in the United States.**

**Q24. **Which is the mode of the data?

- A. 2540
- B. 2132
- C. 1980
- D. 1900

**Q25.** What is the average length of the five rivers?

- A. 2540 miles
- B. 2132 miles
- C. 1980 miles
- D. 1900 miles

**The plot shows the distribution of data on the number of airplanes that fly over an industrial park during a one-week time period.**

**Q26.** What is the range of the data set?

- A. 2
- B. 4
- C. 12
- D. 16

**Q27.** A buffet table has a choice of 3 different kinds of meat, 4 kinds of potatoes, 2 vegetables and 3 salads. How many complete dinners (meat, potato, vegetable and salad) could be created?

- A. 12
- B. 24
- C. 48
- D. 72

**Q28.** An agricultural student collected data on the breed of chicks being raised at a chicken farm. The table shows her findings.

What is the probability that a chick selected at random is a Golden Comet?

- A. \frac14
- B. \frac34
- C. \frac12
- D. \frac13

**Q29.** The numbers and letters shown on the card below are cut out and placed in a closed container. Carole reaches into the container and randomly selects one card.

What is the probability that Carole selects a consonant?

- A. \frac15
- B. \frac5{16}
- C. \frac76
- D. \frac7{16}

**Questions 30-31. **

There are 60 students in the Highland High School student council. Of the 40 male students, 10 are also in accelerated math classes. One-fourth of all the student council members are in accelerated math classes.

**Q30.** What is the probability that a student council member is in an accelerated math class or a male student?

- A. \frac34
- B. \frac65
- C. \frac56
- D. \frac3{11}

**Q31.** What is the probability that a student council member is a female student and in accelerated math classes?

- A. \frac1{36}
- B. \frac1{24}
- C. \frac1{16}
- D. \frac36

**Q32.** At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age m of the combined group of male and female primates at the primate reserve?

- A. m = 17
- B. m > 17
- C. m < 17
- D. 15 < m < 19

**Q33 to Q35**

You spin a spinner with 6 colors—red, yellow, pink, green, blue, and white. Your results are in the table.

**Q33.** What is the probability that the spinner will land on blue on the next spin?

- A. \frac15
- B. \frac14
- C. \frac13
- D. \frac18

**Q34**. Which of the following is true about the table?

- A. The probability that the spinner will land on red next is equal to the probability that the spinner will land on yellow next.
- B. The probability that the spinner will land on red or yellow next is equal to the probability that the spinner will land on pink next.
- C. The probability that the spinner will land on red next is equal to the probability that the spinner will land on white next.
- D. The probability that the spinner will land on green next is the smallest probability.

**Q35.** What is the probability that you will not land on red on his next spin?

- A. \frac1{10}
- B. \frac45
- C. \frac15
- D. \frac18

**Q36.** Which polynomial does not follow the same pattern as the other polynomials?

- A. x²- 6x + 9
- B. 4x²-12x + 9
- C. 9x² – 6x + 1
- D. 16x²- 12x + 9

**Q37.** What operation would you perform on each term for the result to be the next term? 328, 164, 82, 41,….

- A. Divide by 2.
- B. Divide by 4
- C. Multiply by 2.
- D. Subtract a power of 2

**Q38.** What value of x makes the equation –12x –26 = -104 true?

- A. –10.8
- B. -6
- C. 6.5
- D. 48

**Q39.** Which of the following represents a geometric sequence?

- A. 24, 12, 6, 3, …
- B. 3, 7, 11, 15, ….
- C. –56, -60, -64, -68, …
- D. 6, 24, 96, 386, …

**Q40**. The ordered pairs shown form a quadratic pattern.

What is the missing y-value?

- A. 25
- B. 28
- C. 35
- D. 37

**Q41.** Which shape is the next term in the sequence?

**Q42.** What is the pattern? 1, 2, 4, -8, 16, ….

- A. Add by —2.
- B. Multiply by 2.
- C. Divide by powers of 2.
- D. Multiply by —2.

**Q43**. The hours of daylight, y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y = 3.06sin(0.017x – 1.40) + 12.23. How many hours of daylight, to the nearest tenth, does this model predict for February 14, 2013?

- A. 9.4
- B. 10.4
- C. 12.1
- D. 12.2

**Q44.** A certain pain reliever is taken in 220 mg dosages and has a half-life of 12 hours. The function *A* = 220 (^{1}/_{2})^{t/12 }can be used to model this situation, where A is the amount of pain reliever in milligrams remaining in the body after t hours.

According to this function, which statement is true?

- A. Every hour, the amount of pain reliever remaining is cut in half.
- B. In 12 hours, there is no pain reliever remaining in the body.
- C. In 24 hours, there is no pain reliever remaining in the body.
- D. In 12 hours, 110 mg of pain reliever is remaining

**Q45.** Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. Each of them plots his progress on a graph with time on the horizontal axis and amount in the jar on the vertical axis. Which statement about their graphs is true?

- A. Rowan’s graph has a steeper slope than Jonah’s.
- B. Rowan’s graph always lies above Jonah’s.
- C. Jonah’s graph has a steeper slope than Rowan’s.
- D. Jonah’s graph always lies above Rowan’s.

**Q46.** The graph of **f(x)** is shown below.

Which function could represent the graph of** f(x)**?

- A. f(x) = (x + 2)(x
^{2}+ 3x – 4) - B. f(x) = (x – 2)(x
^{2}+ 3x – 4) - C. f(x) = (x + 2)(x
^{2}+ 3x + 4) - D. f(x) = (x – 2)(x
^{2}+ 3x + 4)

**Q47.** The cost of a pack of chewing gum in a vending machine is $0.75. The cost of a bottle of juice in the same machine is $1.25. Julia has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum. If b represents the number of bottles of juice, which inequality represents the maximum number of bottles she can buy?

- A. 0.75b + 1.25(7) ≥ 22
- B. 0.75b + 1.25(7) ≤ 22
- C. 0.75(7) + 1.25b ≥ 22
- D. 0.75(7) + 1.25b ≤ 22

**Q48.** What is the quotient when 10x^{3} – 3x^{2} – 7x + 3 is divided by 2x – 1?

- (1) 5x
^{2}+ x + 3 - (2) 5x
^{2}– x + 3 - (3) 5x
^{2}– x – 3 - (4) 5x
^{2}+ x – 3

**Q49. **The results of simulating tossing a coin 10 times, recording the number of heads, and repeating this 50 times are shown in the graph below.

Based on the results of the simulation, which statement is false?

- A. Five heads occurred most often, which is consistent with the theoretical probability of obtaining a heads.
- B. Eight heads is unusual, as it falls outside the middle 95% of the data.
- C. Obtaining three heads or fewer occurred 28% of the time.
- D. Seven heads is not unusual, as it falls within the middle 95% of the data.

**Q50. **The country of Benin in West Africa has a population of 9.05 million people. The population is growing at a rate of 3.1% each year. Which function can be used to find the population 7 years from now?

- A. f(t) = (9.05 x 10
^{6})(1 – 0.31)^{7} - B. f(t) = (9.05 x 10
^{6})(1 + 0.31)^{7} - C. f(t) = (9.05 x 10
^{6})(1 + 0.031)^{7} - D. f(t) = (9.05 x 10
^{6})(1 – 0.031)^{7}

**See Also:**

**Sample Reading Tests**

**Sample Math Tests**

**Sample English Grammar Tests**

**Sample Critical Reading Tests**