Graph Practice Questions  Test 1
1. In the following figure, what is the area of the shaded circle inside of the square?
 512
 256
 16
 50.24
 12.57
2. In the figure below, determine the area of the shaded region of the figure.
 9.354
 10.52
 16.437
 49
 104.86
3. What are the coordinates of point A on the following graph?
 (3, 4)
 (4, 3)
 (3, 4)
 (4, 3)
 (3, 4)
4. What was the average number of babies that Dr. Jones delivered each year from 1995 to 1998?
 35
 40
 45
 50
 55
5. How many babies did Dr. Jones deliver in 1998?
 25
 35
 45
 55
 65
6. If Dr. Jones delivered 85 babies in 1999, how many rattles would represent this number?
 6 ½
 7
 7 ½
 8
 8 ½
7. If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?
 2,990
 3,030
 3,450
 4,760
 4,775
8. If 7,650 trucks were sold in 1999, how many total vehicles were sold in 1999 by XYZ Auto Company?
 35,000
 40,000
 45,000
 50,000
 55,000
9. If 3,750 2door sedans were sold in 1999, then how many 4door sedans were sold in 1999 by XYZ Auto Company?
 3,578
 4,950
 5,120
 5,670
 5,845
10. How much did the infant gain in the first month of life?
 6 ounces
 12 ounces
 15 ounces
 8 lbs 8 ounces
 9 lbs 4 ounces
11. What was the average weight of the infant from April to October, rounded to the nearest ounce?
 10 lbs
 10 lbs 5 ounces
 10 lbs 9 ounces
 11 lbs 5 ounces
 11 lbs 9 ounces
12. Between which two months did the infant gain the most weight?
 April and May
 June and July
 July and August
 August and September
 September and October
13. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?
 (17, 2)
 (10, 6)
 (6, 8)
 (10, 3)
 (2, 17)
14. How many boys attended the 1995 convention?
 358
 390
 407
 540
 716
15. Which year did the same number of boys and girls attend the conference?
 1995
 1996
 1997
 1998
 None
16. Which two years did the least number of boys attend the convention?
 1995 and 1996
 1995 and 1998
 1996 and 1997
 1996 and 1992
 1997 and 1998
Answers & Explanations
1. E: The area of the circle may be found by using the formula, A=πr^{2}. Since the square has a diameter of 4, the circle has a radius of 2. Substituting 2 for r, into the formula above, gives A=π(2)^{2}, or A=4π. Thus, the area of the circle is approximately 12.57 square units.
2. B: The area of the square is equal to 7^{2}, or 49, square units. The area of the circle may be represented as π(3.5)^{2}, or 12.25π, which is approximately 38.48 square units. The area of the shaded portion of the figure equals the difference of 49 square units and 38.48 square units, or 10.52 square units.
3. C: The point represents the xvalue of 3 and the yvalue of 4, thus the ordered pair may be written as (3, 4).
4. C: The average may be written as (35+40+50+55)/4, which equals 45.
5. D: Since each rattle represents the delivery of 10 babies, 5 1/2 rattles represents the delivery of 55 babies.
6. E: Delivery of 85 babies would be represented by 8 whole rattles and 1/2 of another rattle, since 8 1/2 ^{.} 10=85.
7. A: The number of SUVs sold is equal to 0.13 x 23,000, or 2,990.
8. C: If 7,650 trucks are sold, which constitutes 17% of the total number of vehicles sold, then the total number of vehicles sold may be determined by solving the equation, 7650 = 0.17x. Dividing both sides of the equation by 0.17 gives 45,000.
9. B: The total number of vehicles sold may be determined by solving the following equation for x: 0.25x = 3,750. Thus, 15,000 vehicles were sold. The number of 4door sedans is equal to the product of 0.33 and 15,000, or 4,950.
10. B: The weight increased from 8.5 pounds to 9.25 pounds, showing an increase of 0.75 pounds. The number of pounds may be converted to ounces by writing and solving the following proportion: 0.75/x=1/16. Thus, the infant gained 12 ounces during the first month of life.
11. C: The average weight may be represented as the ratio, (8.5+9.25+9.75+10.5+11+12+12.75)/7, which is approximately 10.54 pounds, or 10 pounds, 9 ounces.
12. D: The infant gained 1 pound between August and September, which was the greatest increase.
13. C: A movement of 4 units to the left and 5 units up, from the point, (10, 3) gives (6, 8), since 10  4 = 6 and 3 + 5 = 8.
14. A: The number of boys who attended the 1995 convention may be represented as 0.50(716), which equals 358.
15. A: In 1995, 50% of the attendees were boys and 50% were girls, thus the same number of boys and girls attended the convention.
16. A: The number of boys attending the convention, from 1995 to 1998, may be represented by the expressions, 0.50(716), 0.55(1108), 0.60(1520), and 0.35(2244). Thus, the years of 1995 and 1996 had the least number of boys in attendance, with numbers of 358 and 610, respectively.
Additional Graphs Practice
by Enoch Morrison
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