Graphs

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SAT Math › Graphs

Questions 1 - 10
1

A pie chart shows the types of pets owned by students in a survey: Dogs 50%, Cats 20%, Fish 15%, Birds 10%, Other 5%. If 200 students were surveyed, how many more students reported owning dogs than fish?

100 students

50 students

35 students

70 students

Explanation

The question asks how many more students reported owning dogs than fish in a survey of 200 students, based on the pie chart. The chart shows dogs at 50% (0.50 × 200 = 100 students) and fish at 15% (0.15 × 200 = 30 students). Subtract: 100 - 30 = 70 students. Common errors include confusing percentages or adding instead of subtracting, so confirm the categories and calculations carefully.

2

A line graph shows the temperature at noon over 6 consecutive days. The y-axis is Temperature (°F) from 40 to 80, and the x-axis is Day 1 to Day 6. The temperatures are: 55, 60, 58, 65, 70, 68. Which statement is supported by the graph?

Day 2 was the coldest day.

The temperature never decreased.

The greatest temperature was on Day 5.

The temperature increased every day.

Explanation

The question asks which statement is supported by the line graph of noon temperatures over 6 days. The graph shows temperatures: Day 1 at 55°F, Day 2 at 60°F, Day 3 at 58°F, Day 4 at 65°F, Day 5 at 70°F, Day 6 at 68°F, with the highest on Day 5. This supports the statement that the greatest temperature was on Day 5. Avoid errors by checking each statement against the data points, noting decreases on Days 3 and 6 that contradict other options.

3

A pie chart shows how a family’s monthly budget is divided: Rent 40%, Food 25%, Transportation 15%, Savings 10%, Entertainment 10%. If the total monthly budget is $2,400, what amount is spent on Transportation according to the chart?

$240

$300

$360

$600

Explanation

The question asks for the amount spent on Transportation from a $2,400 monthly budget, as shown in the pie chart. The pie chart allocates 15% to Transportation. Calculate 15% of 2,400: 0.15 × 2,400 = 360. A key error to avoid is misreading the percentages or applying them to the wrong category, so verify the slice labels and perform the multiplication step by step.

4

A line graph tracks the number of pages a student read each day over 5 days. The x-axis is Day (Mon–Fri) and the y-axis is Pages Read (0 to 50). The plotted values are: Mon 20, Tue 35, Wed 30, Thu 40, Fri 25. What is the total number of pages read from Tuesday through Thursday, inclusive?

95 pages

125 pages

110 pages

105 pages

Explanation

The question asks for the total number of pages read from Tuesday through Thursday, inclusive, based on the line graph. The graph shows Tuesday at 35 pages, Wednesday at 30 pages, and Thursday at 40 pages. Add these values: 35 + 30 + 40 = 105 pages. Be careful not to include Monday or Friday, as that is a frequent mistake, and ensure you read the plotted points accurately from the y-axis.

5

A bar graph shows the number of volunteer hours completed by four school clubs in April. The x-axis lists clubs (Art, Science, Debate, Music) and the y-axis is Volunteer Hours (0 to 60). The bars indicate: Art 40 hours, Science 55 hours, Debate 30 hours, Music 45 hours. According to the graph, how many more volunteer hours did the Science club complete than the Debate club?

85 hours

20 hours

15 hours

25 hours

Explanation

The question asks how many more volunteer hours the Science club completed compared to the Debate club based on the bar graph. From the graph, the Science club's bar reaches 55 hours, and the Debate club's bar reaches 30 hours. To find the difference, subtract the Debate club's hours from the Science club's: 55 - 30 = 25 hours. A common error might be misreading the y-axis scale or confusing the bars for different clubs, so always double-check the labels and values carefully.

6

A pie chart shows the results of a vote on a class trip destination: Museum 45%, Park 30%, Aquarium 15%, Other 10%. If 80 students voted, how many students voted for the Park according to the chart?

20 students

24 students

12 students

36 students

Explanation

The question asks how many students voted for the Park out of 80, based on the pie chart. The chart shows 30% for Park, so 0.30 × 80 = 24 students. Apply the percentage to the total voters. Avoid mistakes by ensuring the correct slice is used and percentages are converted properly.

7

A histogram shows the number of text messages sent per day by a group of students. The bins are 0–19, 20–39, 40–59, 60–79, 80–99, with frequencies 4, 6, 5, 3, 2. According to the histogram, how many students sent fewer than 60 messages per day?

15 students

20 students

9 students

11 students

Explanation

The question asks how many students sent fewer than 60 messages per day, according to the histogram. The relevant bins are 0–19 with 4, 20–39 with 6, and 40–59 with 5, summing to 4 + 6 + 5 = 15 students. Sum only up to but not including 60. Avoid including higher bins by noting the 'fewer than' boundary.

8

A pie chart shows the distribution of 360 students by grade level: 9th grade 30%, 10th grade 25%, 11th grade 25%, 12th grade 20%. According to the chart, how many students are in 12th grade?

54 students

90 students

72 students

108 students

Explanation

The question asks how many students are in 12th grade out of 360, based on the pie chart. The chart shows 20% for 12th grade, so 0.20 × 360 = 72 students. Confirm the percentage and multiply by total. A frequent error is using the wrong grade's percentage, so match labels accurately.

9

A line graph shows a tank’s water volume over time. The x-axis is Time (minutes) at 0, 10, 20, 30, and the y-axis is Volume (liters) from 0 to 100. The plotted values are: 0 min 20 L, 10 min 40 L, 20 min 70 L, 30 min 70 L. During which interval did the volume increase at the greatest rate?

The rate was the same in all intervals.

10–20 minutes

0–10 minutes

20–30 minutes

Explanation

The question asks during which interval the water volume increased at the greatest rate, based on the line graph. The graph shows changes: 0–10 min from 20 L to 40 L (+20 L, rate 2 L/min); 10–20 min from 40 L to 70 L (+30 L, rate 3 L/min); 20–30 min from 70 L to 70 L (+0 L, rate 0 L/min). The highest rate is in 10–20 minutes. Calculate rates by dividing change in volume by time, and compare carefully to avoid confusing intervals.

10

A histogram shows the number of minutes students spent studying, with bins 0–19, 20–39, 40–59, 60–79, 80–99. The frequencies are 3, 7, 8, 5, 2. Based on the histogram, how many students studied for at least 40 minutes?

10 students

18 students

12 students

15 students

Explanation

The question asks how many students studied for at least 40 minutes, according to the histogram. The relevant bins are 40–59 with 8 students, 60–79 with 5, and 80–99 with 2, summing to 8 + 5 + 2 = 15 students. Add only from the 40-minute bin onward. Common mistakes include including lower bins, so strictly adhere to the threshold.

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