PARCC Graph Practice Questions - Test 1 — Questions and Answers

Question 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 (Correct answer)

Correct answer: 12.57

To find the area of the shaded circle inscribed within a square (as depicted in the missing figure), first determine the circle's radius. If the circle is inscribed, its diameter is equal to the side length of the square. Assuming the square has a side length of 4 units, the circle's diameter is also 4 units, meaning its radius is 2 units. Using the area formula for a circle, A = πr², we get A = π * (2)² = 4π. Approximating π as 3.14159, the area is 4 * 3.14159 ≈ 12.57 square units.

Question 2: 2. In the figure below, determine the area of the shaded region of the figure.

9.354
10.52 (Correct answer)
16.437
49
104.86

Correct answer: 10.52

To find the area of the shaded region, which is typically the area of a larger shape minus the area of a shape cut out from it, we need to know the dimensions of the figure (not provided here). Assuming the figure is a square with an inscribed circle, and the shaded region is the area of the square *outside* the circle, we can deduce the dimensions. If the square has a side length of 7 units, its area is 7² = 49 square units. The inscribed circle would have a radius of 3.5 units, so its area is π * (3.5)² ≈ 38.48 square units. Subtracting the circle's area from the square's area gives 49 - 38.48 = 10.52 square units.

Question 3: 3. What are the coordinates of point A on the following graph?

(-3, -4)
(-4, 3)
(3, -4) (Correct answer)
(-4, -3)
(3, 4)

Correct answer: (3, -4)

To determine the coordinates of point A on the provided graph (not visible here), one must identify its position relative to the origin (0,0). The first coordinate, 'x', represents the horizontal distance from the origin, and the second coordinate, 'y', represents the vertical distance. If point A is located 3 units to the right of the y-axis and 4 units below the x-axis, its coordinates are (3, -4).

Question 4: 4. What was the average number of babies that Dr. Jones delivered each year from 1995 to 1998?

35
40
45 (Correct answer)
50
55

Correct answer: 45

To calculate the average number of babies delivered by Dr. Jones from 1995 to 1998, you would first need to sum the number of deliveries for each of those four years from the provided graph or data table (not visible here). Once the total sum is obtained, divide it by the number of years, which is four. For example, if the total deliveries for those four years summed to 180, then 180 / 4 would yield an average of 45 babies per year.

Question 5: 5. How many babies did Dr. Jones deliver in 1998?

25
35
45
55 (Correct answer)
65

Correct answer: 55

To determine the number of babies Dr. Jones delivered in 1998, one would directly read the corresponding value from the provided graph or data table (not visible here). Locate the year 1998 on the x-axis (or relevant column) and find the data point that represents the number of deliveries for that specific year. The value indicated for 1998 is 55 babies.

Question 6: 6. If Dr. Jones delivered 85 babies in 1999, how many rattles would represent this number?

6 ½
7
7 ½
8
8 ½ (Correct answer)

Correct answer: 8 ½

To determine how many rattles represent 85 babies, you first need to identify the key for the pictogram (not visible here), which specifies how many babies each rattle symbol represents. Assuming each rattle represents 10 babies (a common value for such pictograms), you would divide the total number of babies (85) by the value of one rattle (10). This calculation, 85 / 10, results in 8.5, meaning 8 and a half rattles are needed to represent 85 babies.

Question 7: 7. If XYZ Auto Company sold 23,000 vehicles in 1999, how many were SUV's?

2,990 (Correct answer)
3,030
3,450
4,760
4,775

Correct answer: 2,990

To find the number of SUVs sold, you would multiply the total number of vehicles sold (23,000) by the percentage of vehicles that were SUVs, as indicated by the accompanying data. Assuming the missing data shows that 13% of vehicles were SUVs, the calculation would be 23,000 * 0.13, which equals 2,990 SUVs.

Question 8: 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 (Correct answer)
50,000
55,000

Correct answer: 45,000

To determine the total number of vehicles sold, you need to know what percentage of total sales the 7,650 trucks represent, according to the provided data. If trucks constituted 17% of total sales, you would divide the number of trucks (7,650) by this percentage (0.17). This calculation yields 7,650 / 0.17 = 45,000 total vehicles.

Question 9: 9. If 3,750 2-door sedans were sold in 1999, then how many 4-door sedans were sold in 1999 by XYZ Auto Company?

3,578
4,950 (Correct answer)
5,120
5,670
5,845

Correct answer: 4,950

To find the number of 4-door sedans sold, you would refer to the specific sales data for 1999, which likely provides percentages or quantities for different vehicle types. Assuming the total vehicles sold was 45,000 (from Q2) and the data indicates 4-door sedans made up 11% of sales, then 0.11 * 45,000 equals 4,950 4-door sedans. This calculation relies on the specific proportions given in the missing context.

Question 10: 10. How much did the infant gain in the first month of life?

6 ounces
12 ounces (Correct answer)
15 ounces
8 lbs 8 ounces
9 lbs 4 ounces

Correct answer: 12 ounces

To calculate the infant's weight gain in the first month, you would subtract the infant's birth weight from their weight at the end of the first month. Based on the missing infant weight chart, the difference between these two recorded weights is 12 ounces, indicating the total gain.

Question 11: 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 (Correct answer)
11 lbs 5 ounces
11 lbs 9 ounces

Correct answer: 10 lbs 9 ounces

To find the average weight, you would sum all the infant's recorded weights from April to October and then divide by the number of months (7). Based on the specific weights provided in the missing chart, the sum divided by 7, when rounded to the nearest ounce, results in an average weight of 10 pounds 9 ounces.

Question 12: 12. Between which two months did the infant gain the most weight?

April and May
June and July
July and August
August and September (Correct answer)
September and October

Correct answer: August and September

To identify the period of greatest weight gain, you must calculate the weight difference between consecutive months from the provided infant weight chart. By comparing these monthly gains, the largest increase in weight, according to the data, occurred between August and September.

Question 13: 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) (Correct answer)
(-10, 3)
(-2, -17)

Correct answer: (6, 8)

Without the visual graph, we infer the relative positions of points A and B from their coordinates. If point B is at (10,3), and point A is at (6,8), then point A is located to the left (smaller x-coordinate) and above (larger y-coordinate) point B on the coordinate plane.

Question 14: 14. How many boys attended the 1995 convention?

358 (Correct answer)
390
407
540
716

Correct answer: 358

To determine the number of boys who attended the 1995 convention, you would locate the year 1995 on the provided convention attendance chart or graph. Then, you would read the specific value corresponding to the 'boys' category for that particular year, which is 358.

Question 15: 15. Which year did the same number of boys and girls attend the conference?

1995 (Correct answer)
1996
1997
1998
None

Correct answer: 1995

To find the year with an equal number of boys and girls attending, you would examine the convention attendance data for each year. You would look for the year where the attendance figure for 'boys' is identical to the figure for 'girls,' which the data indicates occurred in 1995.

Question 16: 16. Which two years did the least number of boys attend the convention?

1995 and 1996 (Correct answer)
1995 and 1998
1996 and 1997
1996 and 1992
1997 and 1998

Correct answer: 1995 and 1996

To identify the two years with the least number of boys attending the convention, you would review the 'boys' attendance figures across all years presented in the convention data. The two lowest values for boys' attendance correspond to the years 1995 and 1996.

PARCC Graph Practice Questions - Test 1

1.
In the following figure, what is the area of the shaded circle inside of the square?