PARCC Estimation Sequence Practice Test 1

Question 1

1. If Sara can read 15 pages in 10 minutes, how long will it take her to read 45 pages?

Accepted Answer

30 minutes

Answer

Sara reads 15 pages in 10 minutes. To read 45 pages, which is three times the original amount (45 / 15 = 3), it will take her three times as long. Therefore, multiply her original reading time by three: 10 minutes * 3 = 30 minutes.

Question 2

2. Restaurant customers tip their server only 8 percent for poor service. If their tip was $3.70, how much was their bill?

Accepted Answer

$46.25

Answer

Let 'x' represent the total bill. The tip of $3.70 represents 8% of the total bill. So, we can set up the equation: 0.08 * x = $3.70. To find 'x', divide the tip amount by the percentage (as a decimal): x = $3.70 / 0.08 = $46.25. Thus, their bill was $46.25.

Question 3

3. Enrique weighs 5 pounds more than twice Brendan's weight. If their total weight is 225 pounds, how much does Enrique weigh?

Accepted Answer

152 pounds

Answer

To solve this, set up two equations: E = 2B + 5 (Enrique's weight is 5 more than twice Brendan's) and E + B = 225 (their total weight). Substitute the first equation into the second to get (2B + 5) + B = 225, which simplifies to 3B + 5 = 225. Solving for Brendan's weight (B) gives 3B = 220, so B = 220/3 pounds. Then, substitute B back into the first equation to find Enrique's weight: E = 2(220/3) + 5 = 455/3 pounds, which is approximately 151.67 pounds. The closest option provided is 152 pounds.

Question 4

4. What is the missing number in the sequence: 4, 6, 10, 18, ___, 66.

Accepted Answer

34

Answer

To find the missing number, analyze the differences between consecutive terms in the sequence. The differences are 6-4=2, 10-6=4, and 18-10=8. This reveals a pattern where each difference is double the previous one. Following this pattern, the next difference should be 8 * 2 = 16. Adding this to the last known term, 18 + 16 = 34, gives the missing number. To verify, the subsequent difference would be 16 * 2 = 32, and 34 + 32 = 66, which matches the final term.

Question 5

5. There are 64 fluid ounces in a 1\/2 gallon. If Nora fills a tank that holds 8 3\/4 gallons, how many ounces will she use?

Accepted Answer

1,120 ounces

Answer

First, determine the conversion rate for one full gallon. Since there are 64 fluid ounces in 1/2 gallon, there are 64 * 2 = 128 fluid ounces in 1 full gallon. Next, convert the tank's capacity from mixed number to decimal: 8 3/4 gallons is equal to 8.75 gallons. Finally, multiply the total gallons by the ounces per gallon: 8.75 gallons * 128 ounces/gallon = 1,120 ounces.

PARCC Practice Test

PARCC Practice Test

PARCC Estimation Sequence Practice Test 1