# PARCC Estimation Sequence Practice Test 1

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

Correct! Wrong!

1.B. The relationship can be expressed as: 15/10 =45/x; 15x = 450; x = 30.

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

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2. C. The total amount of the bill is: 3.70/x =8/100; 370 = 8x; x = \$46.25.

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

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3. B. If E + B = 225, and E = 2B + 5, then 225 - B = 2B + 5. Solving for B, 3B = 220 and B = 73.3. 225 - 73.3 = 151.7.

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

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4. B. Double the number that is added to the previous number. So, 4+2=6, 6+4=10, 10+8=18, 18+16=34, and 34+32=66.

#### 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?

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5. D. 1 gallon = 128 ounces, so 8 x 128 = 1,024 ounces for 8 gallons. 1/2 = 64 gallons, and 1/4 = 32 gallons, so 64 + 32 = 96 ounces to fill the 3/4 gallons; the total ounces required is 1,024 + 96 = 1,120 ounces.

#### 6. Shaylee goes shopping for two types of fruit: mangoes that cost \$2.00 each and coconuts that cost \$4.00 each. If she buys 10 pieces of fruit and spends \$30.00, how many pieces of each type of fruit did she buy?

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6. B. If mangoes are represented by x and coconuts are represented by y, then: x + y = 10, and 2x + 4y = 30 2(10-y) + 4y = 30 20 - 2y + 4y = 30 2y = 10 y = 5 and x = 5, or 5 of each type of fruit

#### 7. Assuming Ed's Painting did not experience any major business changes, which of the following is likely to be closest to the number of houses he painted in 2005?

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7. B. Given the increasing trend, the data can be extrapolated from 25 to about 31, the closest possible answer.

#### 8. A house is 25 feet tall and a ladder is set up 35 feet away from the side of the house. Approximately how long is the ladder from the ground to the roof of the house?

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8. A. Using the Pythagorean theorem: 252 + 352 = c2. 625 + 1225 = c2. c = ?1850 = 43.01.

#### 9. If Louis travels on his bike at an average rate of 20 mph, how long will it take him to travel 240 miles?

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9. B. 20/1 =240/X. 20X = 240. X = 240/20 = 12 hours.

#### 10. A soda company is testing a new sized can to put on the market. The new can is 6 inches in diameter and 12 inches in height. What is the volume of the can in cubic inches?

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10. A. V = ?r2h. V = 3.14 x (32) x 12. 3.14 x 9 x 12 = 339.12.