1. A: The following proportion may be written: 1/p=x/5. Solving for the variable, x, gives xp = 5, where x=5/p. So, Lynn can type 5/p pages, in 5 minutes.
2. A: Sally can paint 1/4 of the house in 1 hour. John can paint 1/6 of the same house in 1 hour. In order to determine how long it will take them to paint the house, when working together, the following equation may be written: 1/4 x+1/6 x=1. Solving for x gives 5/12 x=1, where x = 2.4 hours, or 2 hours, 24 minutes.
3. D: Sale Price = $450 - 0.15($450) = $382.50, Employee Price = $382.50 - 0.2($382.50) = $306
4. D: $12,590 = Original Price - 0.2(Original Price) = 0.8(Original Price), Original Price = $12,590/0.8 = $15,737.50
5. A: In order to solve for A, both sides of the equation may first be multiplied by 3. This is written as 3(2A/3)=3(8+4A) or 2A=24+12A. Subtraction of 12A from both sides of the equation gives -10A=24. Division by -10 gives A = -2.4.
6. A: Three equations may initially be written to represent the given information. Since the sum of the three ages is 41, we may write, l + s + j = 41, where l represents Leah's age, s represents Sue's age, and j represents John's age. We also know that Leah is 6 years older than Sue, so we may write the equation, l = s + 6. Since John is 5 years older than Leah, we may also write the equation, j = l + 5. The expression for l, or s + 6, may be substituted into the equation, j = l + 5, giving j = s + 6 + 5, or j = s + 11. Now, the expressions for l and j may be substituted into the equation, representing the sum of their ages. Doing so gives: s + 6 + s + s + 11 = 41, or 3s = 24, where s = 8. Thus, Sue is 8 years old.
7. E: Simple interest is represented by the formula, I = Prt, where P represents the principal amount, r represents the interest rate, and t represents the time. Substituting $4,000 for P, 0.06 for r, and 5 for t gives I = (4000)(0.06)(5), or I = 1,200. So, he will receive $1,200 in interest.
8. A: $670 = Cost + 0.35(Cost) = 1.35(Cost), Cost = $670/1.35 = $496.30
9. D: The amount of taxes is equal to $55*0.003, or $0.165. Rounding to the nearest cent gives 17 cents.
10. C: The GPA may be calculated by writing the expression, ((3*2)+(4*3)+(2*4)+(3*3)+(4*1))/13, which equals 3, or 3.0.
11. C: From 8:15 A.M. to 4:15 P.M., he gets paid $10 per hour, with the total amount paid represented by the equation, $10*8=$80. From 4:15 P.M. to 10:30 P.M., he gets paid $15 per hour, with the total amount paid represented by the equation, $15*6.25=$93.75. The sum of $80 and $93.75 is $173.75, so he was paid $173.75 for 14.25 hours of work.
12. D: If she removes 13 jellybeans from her pocket, she will have 3 jellybeans left, with each color represented. If she removes only 12 jellybeans, green or blue may not be represented.
13. A: The value of z may be determined by dividing both sides of the equation, r=5z, by 5. Doing so gives r/5=z. Substituting r/5 for the variable, z, in the equation, 15z=3y, gives 15(r/5)=3y. Solving for y gives r = y.
14. A: 50 cents is half of one dollar, thus the ratio is written as half of 300, or 150, to x. The equation representing this situation is 300/x*1/2=150/x.
15. B: The following proportion may be used to determine how much Lee will make next week: 22/132=15/x. Solving for x gives x = 90. Thus, she will make $90 next week, if she works 15 hours.
16. C: The given equation should be solved for x. Doing so gives x = 6. Substituting the x-value of 6 into the expression, 5x + 3, gives 5(6) + 3, or 33.
17. C: The amount you will pay for the book may be represented by the expression, 80+(80*0.0825). Thus, you will pay $86.60 for the book. The change you will receive is equal to the difference of $100 and $86.60, or $13.40.
18. B: The amount you have paid for the car may be written as $3,000 + 6($225), which equals $4,350.
19. A: You will need 40 packs of pens and 3 sets of staplers. Thus, the total cost may be represented by the expression, 40(2.35) + 3(12.95). The total cost is $132.85.
20. C: Substituting 3 for y gives 33 (33-3), which equals 27(27 - 3), or 27(24). Thus, the expression equals 648.
Candidates can also sharpen their skills with our PARCC practice test 2026, which includes hundreds of practice questions in the exact format and difficulty of the real exam.
Along with the IAAT, check our CogAT practice test to sharpen the quantitative and spatial reasoning skills tested in both exams.
AMC 8 competitors often also practice with our CogAT practice test to sharpen the mathematical reasoning and problem-solving skills both assessments measure.
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Interactive PARCC resources on PracticeTestGeeks, free to start:
| Pros | Cons |
|---|---|
| Validates your knowledge and skills objectively | Study materials can be expensive |
| Increases job market competitiveness | Exam anxiety can affect performance |
| Provides structured learning goals | Requires dedicated preparation time |
| Networking opportunities with other certified professionals | Retake fees apply if you don't pass |
Try these questions from our free PARCC practice tests. The correct answer and an explanation follow each question.
2. Kate got a 56 on her first math test. On her second math test, she raised her grade by 12%. What was her grade?
Answer: A. 62.7
To find Kate's new grade, first calculate the increase: 12% of 56 is 0.12 * 56 = 6.72. Then, add this increase to her original grade: 56 + 6.72 = 62.72. Therefore, her new grade was 62.7 when rounded to one decimal place.
17. Among the many fields of science, no matter what turns you on, there are several fields of study.
Answer: E. science, no matter which you choose,
The original sentence uses an informal and less precise phrase, 'no matter what turns you on.' The corrected option replaces this with the more formal and appropriate 'no matter which you choose.' This change improves the sentence's tone and clarity, making it suitable for a broader range of contexts.
Which sentence uses "affect" correctly?
Answer: B. The cold weather did not affect the game.
"Affect" is a verb meaning to influence, so it correctly fits "did not affect the game."
3. Jill sets the plates on the table.
Answer: D. Sets
The correct answer is 'Sets'. 'Sets' is the main verb in the sentence, indicating the action that Jill performs. It describes what Jill does with the plates on the table.
Prepare for the PARCC - Partnership for Assessment of Readiness for College and Careers exam with our free practice test modules. Each quiz covers key topics to help you pass on your first try.