Computation and Estimation

Released SOLs

A company ordered 328 pens with the company logo printed on them. The company returned 82 of the pens because the wrong

logo was printed on them. What percent of the original order did the company keep? (SOL 8.3)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 25%2. 33 1/3%3. 75%4. 246%

Johanna rented a car. Rental costs were $29.00 per day plus $0.49 for each mile driven. If she kept the car for 1 day and drove 50 miles, how

much did she owe? (SOL 8.3)

$29.49 $31.45 $53.50 $78.00

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. $29.492. $31.453. $53.504. $78.00

What is the value of 7a(a - 1) + 6when a = 2? (SOL 8.4)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 202. 333. 544. 98

What is the value of x2(7 - x) + 2 when x = 5? (SOL 8.4)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 522. 1003. 1524. 172

Which of these numbers is a perfect square? (SOL 8.5)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 122. 243. 364. 48

Between which two consecutive whole numbers does √42 lie? (SOL 8.5)

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30 31 32

1. 5 and 62. 6 and 73. 7 and 84. 8 and 9

A weather forecaster checked and emptied a rain gauge six times one day. The measurements in

inches were 0.243, 0.595, 0.903, 0.756, 0.398, and 0.112. Which is the best estimate of the total rainfall

that day? 8.3

1 2 3 4 5

25% 25%25%25%A. 2.0 in.B. 2.5 in.C. 3.0 in.D. 3.5 in.

2004

What is the value of 6n(n -1) + 4,when n = 3? 8.4

1 2 3 4 544 40 36 19

25% 25%25%25%

2004

A. 44B. 40C. 36D. 19

Which of the following is not a perfectsquare? 8.5

1 2 3 4 5

25% 25%25%25%A. 49B. 64C. 81D. 99

2004

A flight engineer for an airline flies anaverage of 2,923 miles per week. Which is the best estimate of the number of miles she flies

in 3 years? 8.3

1 2 3 4 5

25% 25%25%25%

2004

A. 150,000B. 300,000C. 450,000D. 600,000

For large parties, a restaurant adds a 15% service charge to the bill. How much would

be added to a bill of $638.40? 8.3

1 2 3 4 5 $27.68 $63.84 $95.76 $150.00

25% 25%25%25%A. $27.68B. $63.84C. $95.76D. $150.00

2004

On a map, the distance between Milvale and Dracut is 1 ¼ inches. If the map uses a scale of ¼

inch represents 1 mile, what is the actual distance in miles from Milvale to Dracut? 8.3

1 2 3 4 5

25% 25%25%25%

2004

A. 2B. 3C. 3 ½ D. 5

Which of the following best represents 39? A number between — 8.5

1 2 3 4 5

25% 25%25%25%

A. 3 and 4B. 6 and 7C. 7 and 8D. 8 and 10

2004

What is the value of (n−2)2 + n−1 when n = 4? 8.4

7 9 15 17

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 7B. 9C. 15D. 17

2007

The scale blueprint of a rectangular patio is drawn ⅛ inch to 1 foot. If the patio is 14 feet

long, what is the measure of the patio’s length on the blueprint? 8.3

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. AB. BC. CD. D

2007

Which of the following is a perfect square? 8.5

5 10 11 16

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 5B. 10C. 11D. 16

2007

Fuji apples sold for $1.29 per pound while Golden Delicious apples were on sale for $0.89

per pound. Sandi bought 3½ pounds of each kind. How much more did she pay for the Fuji apples than the Golden Delicious apples? 8.3

$1.40 $3.12 $4.51 $7.63

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $1.40B. $3.12C. $4.51D. $7.63

2007

If x = 8, what is the value of this expression? 8.4

-2.5 -1 1 2.5

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. -2.5B. -1C. 1D. 2.5

2007

Which number is a perfect square? 8.5

1 2 5 8

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 1B. 2C. 5D. 8

2007

Harry and Connie bought tomatoes at the farmer’s market. Harry paid $4.32 for 6

pounds of tomatoes. At that rate, how much should Connie have paid for 5 pounds of

tomatoes? 8.3

$2.16 $3.60 $5.04 $5.18

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $2.16B. $3.60C. $5.04D. $5.18

2007

Which expression has a value of 27 when n equals 2 ?

n + (4

3 ÷ 8)

n + (4

÷ 8)3

(n + 4)3 ÷ 8

(n + 43) ÷

8

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. n + (43 ÷ 8)B. n + (4 ÷ 8)3

C. (n + 4)3 ÷ 8D. (n + 43) ÷ 8

Which has a value between 2 and 3 ?

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. √12B. √8C. √3D. √2

The area of a trapezoid (A) can be found using the formula A = ½h(b1+b2). What is the area of a trapezoid if

b1 = 8 centimeters, b2 = 12 centimeters and h = 6 centimeters?

32 cm2

48 cm2

54 cm2

60 cm2

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 32 cm2

B. 48 cm2

C. 54 cm2

D. 60 cm2

If the family’s monthly income is $3,286, what is the amount the Wren family budgets for

entertainment each month?

$657.20 $328.60 $164.30 $32.86

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $657.20B. $328.60C. $164.30D. $32.86

Which number is a perfect square?

2 5 25 52

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. 2B. 5C. 25D. 52

What is the value of the following when b = 2? 3b + 3

9 12 27 36

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

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A. 9B. 12C. 27D. 36

A computer game was originally priced at $59.99. It was marked down 15%. Then it was

moved to a clearance rack marked “Take an additional 50% off the lowest marked price.”

What was the final price of the computer game?

$25.50 $30.00 $50.99 $59.99

25% 25%25%25%

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

A. $25.50B. $30.00C. $50.99D. $59.99