Last Updated on May 23, 2024
CHSPE Math Practice Test 2024 [Free PDF]. Try our California High School Proficiency Exam (CHSPE) Mathematics sample question with answer keys. You can also download it in PDF.
CHSPE Math Practice Test 2024
| Test Name | CHSPE Practice Test |
| Section | Math |
| Region | California |
| Test Type | Multiple choice question |
| Total questions | 50 |
| Questions type | Sample test |
Q1. The gross profit of an educational publishing company for the past two years was 457 billion dollars. What is this value in scientific notation?
- A. $457 x 109
- B. $457 x 10°
- C. $45.7 x 10°
- D. $4.57 x 10″
Q2. Which number sentence could be used to determine the number of seconds, s in d days?
- A. s= d (24 . 60)
- B. s = d (24 . 60 . 60)
- C. s = d (24 . 52)
- D. s = d (12 . 24 . 60 . 60)
Q3. Which statement is false?
- A. -1 \frac35 < -1 \frac34
- B. 15³ > 24²
- C. 5 × 4² > 9 × 2³
- D. -15.166 > – 15.378
Q4. Which value is the smallest?
- A. 0.197
- B. 0.5
- C. 0.489
- D. 0.178
Q5. Evaluate the expression
6^{4} ÷ \frac14 ( \sqrt{15 - 9 - 2})^{3}-2 \frac12- A. -1.75
- B. 25
- C. 38
- D. 645.5
Q6. Estimate the product by rounding to the nearest ten. 127.369 × 139.262
- A. 15,600
- B. 17,920
- C. 18,200
- D. 19,50
Q7. Find the area of the figure, round your final answer to the nearest square unit number.
- A. 20 square units
- B. 40 square units
- C. 81 square units
- D. 130 square units
Q8. A clock chimes every quarter of an hour every day. How many times does the clock chime in a 90-day time period?
- A. 360 times
- B. 2160 times
- C. 4320 times
- D. 8640 times
Q9. The surface area of a sphere with a diameter of 10 inches is about314 square inches. About how many times greater is the surface area ofa sphere with a radius of 10 inches?
- A. 2 times greater
- B. 4 times greater
- C. 8 times greater
- D. 100 times greater
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
Q12. Miles types at a rate of 102 words per minute. What is his typing rate in words per hour?
- A. 6120
- B. 4590
- C. 3060
- D. 204
Q13. How much greater is the volume of a beach ball with a radius of 8.5 cm than a beach ball with a radius of 4.25 cm? Round your answer to the nearest whole centimeter.
- A 227 cm³
- B 321 cm³
- C 642 cm³
- D 2250 cm³
Q14. Brad wraps a gift in a box 2.5 times smaller than the box shown: Estimate the amount of wrapping paper needed for Brad’s gift.
- A. Less than \frac14 ft²
- B. Between \frac12 and \frac34 ft²
- C. About 1 ft²
- D. Atleast 1 1 \frac14 ft²
Q15. What is the slope of the line
- A. \frac13
- B. 1
- C. - \frac12
- D. -2
Q16. What is the distance between the points (-2.5, -6.1) and (16, 8)?
- A. 14.1
- B. 23.3
- C. 32.6
- D. 40.8
Q17. What is the slope of a line perpendicular to 6x — 9y = 15?
- A. - \frac53
- B. 3
- C. -1 \frac12
- D. 2
Q18. A rectangular prism has a height of 8 m, a width of 5 m, and a length of 12 m. If the length, width, and height of the prism are halved, how does this affect the volume of the original prism?
- A. The volume of the new prism is the same as the original prism.
- B. The volume of the new prism is 2 times as large as the original prism.
- C. The volume of the new prism is 1/4 the volume of the original prism.
- D. The volume of the new prism is 1/8 the volume of the original prism. 8
Q19. The surface area of a sphere with a diameter of 12 inches is about 452 square inches. About how many times greater is the surface area of a sphere with a radius of 18 inches?
- A. 9 times greater
- B. 16 times greater
- C. 18 times greater
- D. 40 times greater
Q20. About how many cubic inches of gelatin can fit in a cylindrical container with a diameter of 2.25 inches and a height of
4.5 inches?
- A. 23π in³
- B. 18π in³
- C. 15π in³
- D. 6π in³
Q21. What is the ratio of the volume of a sphere to its surface area if the sphere has a radius of 21 meters?
- A. 1:1
- B. 1:3
- C. 4:1
- D. 7:1
Q22. The die shown has side lengths of 4 cm. The die used to play a probability game has side lengths of 10 cm. How much greater is the surface area of the probability die to one of the die shown?
- A. 2 times greater
- B. 4.75 times greater
- C. 6.25 times greater
- D. 40 times greater
- E. 96 times greater
Q23. Select the best estimate of the volume of the triangular prism
- A. 45 cm³
- B. 540 cm³
- C. 375 cm³
- D. 420 cm³
Use the data in the table for Questions 24-25. The table shows the five longest rivers in the United States.
Q24 If using the data in the table to construct a circle graph, the top three rivers would consist of what percentage of the graph?
- A. 33.3%
- B. 35.6%
- C. 60.0%
- D. 64.4%
Q25. Which of the following has the greatest value?
- A. range
- B. median
- C. mean
- D. mode
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 difference between the first and third quartile?
- A. 1
- B. 2
- C. 3
- D. 4
Q27. A fair coin is tossed 10 times with an outcome of 3 heads and 7 tails. What is the absolute value of the difference of the theoretical and experimental probability of the next toss landing on tails?
- A. 1
- B. 0.8
- C. 05
- D. 0.2
Q28. What is the probability of spinning a 4, then a 3, on the next two spins?
- A. \frac14
- B. \frac34
- C. \frac12
- D. \frac18
Questions 29-30.
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.
Q29. If there are 1800 students enrolled at Highland High School, what is the probability that a student is on the student council?
- A. 3%
- B. \frac1{30}
- C. 30%
- D. \frac1{300}
Q30. What is the probability that a student council member is not taking accelerated math classes and is a male student?
- A. 10%
- B. 20%
- C. 50%
- D. 60%
Q31. The average number of students per classroom, y, at Central High School can be estimated using the equation y = 0.8636x + 27.227, where x represents the number of years since 2004 and x ≤ 10. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?
- A) The estimated average number of students per classroom in 2004
- B) The estimated average number of students per classroom in 2014
- C) The estimated yearly decrease in the average number of students per classroom
- D) The estimated yearly increase in the average number of students per classroom
Q32. A research assistant selected 75 undergraduate students at random from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, “How many minutes per day do you typically spend reading?” The mean reading time in the sample was 89 minutes, and the margin of error for this estimate was 4.28 minutes. Another research assistant intends to replicate the survey and will attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?
- A) 40 undergraduate psychology-degree program students selected at random
- B) 40 undergraduate students selected at random from all degree programs at the university
- C) 300 undergraduate psychology-degree program students selected at random
- D) 300 undergraduate students selected at random from all degree programs at the university
Questions 33-35
Bright Light Bulbs produces 1400 light bulbs in one day. Of those, 7 light bulbs were found to be defective.
Q33. What is the probability that a light bulb produced that day was defective?
- A 0.001
- B 0.002
- C 0.003
- D 0.005
Q34. What is the probability that a light bulb produced that day was not defective?
- A 0.995
- B 0.996
- C 0.997
- D 0.998
Q35. Predict approximately how many light bulbs will be defective when 2600 light bulbs are produced the following week.
- A 13
- B 14
- C 26
- D 27
Q36. A number that repeats after the decimal point is a rational number. A number that has a pattern but no repeats after the decimal point is an irrational number. Which of the following is an irrational number?
- A. 1.42857142…
- B. 1.100010001…
- C. 1.1010010001…
- D. T.025S 1025 . . .
Q37. Which of the following would be considered a pattern?
Q38. Elso is making a display of macaroni boxes. The first row contains one box of macaroni. The next row has three more boxes of macaroni than the first row. The third row has three more boxes of macaroni than the second row. If this pattern continues, how many boxes of macaroni are in the eighth row?
- A. 22 boxes
- B. 32 boxes
- C. 70 box
- D.117 boxes
Q39. Describe how the terms change in the following sequence. 2, 6, 22, 58, 122…
- A. The terms increase by consecutive even number.
- B. The terms increase by multiples of 2.
- C. The terms increase by squares of consecutive odd number.
- D. The terms increase by squares of even number
Q40. Which polynomial does not follow the same pattern as the other polynomials?
- A. 25x² – 9
- B. 8 – 18x²
- C. 1 – 16x²
- D. 64x² + 9
Q41. Describe the change in the following sequence.
- A. Two dots are added to the bottom row and one dot is added to the first column.
- B. One dot is added to the bottom row and two dois are added to the first column.
- C. One dot is added to the bottom row.
- D. One dot is added to the bottom row and one
Q42. The expression 3(x2 + 2x – 3) – 4(4×2 – 7x + 5) is equivalent to
- A. -13x – 22x + 11
- B. -13x2 + 34x – 29
- C. 19x2 – 22x + 11
- D. 19x2 + 34x – 29
Q43. Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
- A. 1.60x + 1.75y < 10
- B. 1.60x + 1.75y > 10
- C. 1.75x + 1.60y < 10
- D. 1.75x + 1.60y > 10
Q44. A clock chimes once at 1:00; twice at 2:00, three times at 3:00, and so on. It also sounds one-quarier of a chime at a quarter after the hour, half of a chime at the half-hour, and three-quarters of a chime at a quarter till the hour. How many times does the clock chime from 1:00 to 7:00?
- A. 21
- B. 37
- C. 53
- D. 60
Q45. the first three terms of a sequence, where t1 = 1 are 7, 27, 127. Which formula best represents this sequence, and what is the fifth term?
- A. tn = 2 ÷ 5n ; 3127
- B. tn = 4n – 11 ; 1013
- C. tn = 6n ÷ 1 ; 7777
- D. tn = 3n ; 243 ; 3127
Q46. On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?
- A. 65
- B. 67
- C. 69
- D. 71
Q47. Students were asked to name their favorite sport from a list of basketball, soccer, or tennis. The results are shown in the table below.
What percentage of the students chose soccer as their favorite sport?
- A. 39.6%
- B. 41.4%
- C. 50.4%
- D. 58.6%
Q48. A scatterplot showing the weight, w, in grams, of each crystal after growing t hours is shown below.
The relationship between weight, w, and time, t, is best modeled by
- A. w = 4t + 5
- B. w = (1.4)t+2
- C. w = 5(2.1)t
- D. w = 8(.75)t
Q49. If x – 1 is a factor of x³ – kx² + 2x, what is the value of k?
- A. 0
- B. 2
- C. 3
- D. -3
Q50. The profit function, p(x), for a company is the cost function, c(x), subtracted from the revenue function, r(x). The profit function for the Acme Corporation is p(x) = – 0.5x² + 250x – 300 and the revenue function is r(x) = – 0.3x² + 150x. The cost function for the Acme Corporation is
- A. c(x) = 0.2x² – 100x + 300
- B. c(x) = 0.2x² + 100x + 300
- C. c(x) = – 0.2x² + 100x – 300
- D. c(x) = – 0.8x² + 400x – 300
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