ACT Multi-Step Data Practice Questions with Answers

Standardized tests like the ACT often present complex tables and graphs that require more than a single glance to interpret correctly. ACT Multi-Step Data questions challenge your ability to synthesize information from multiple sources or perform a sequence of calculations based on visual data. These questions are a staple of both the Math and Science sections, testing your quantitative reasoning and analytical skills in a timed environment.

Success on these problems depends on your ability to break down a larger goal into smaller, manageable tasks. For instance, you might need to find a value in Table 1, use that value to identify a trend in Figure 2, and then calculate a final percentage. This multi-layered approach is common in ACT Prep because it reflects the type of data analysis required in college-level coursework. By practicing these specific question types, you can improve your speed and accuracy, ensuring you don't get lost in the numbers.

Concept Explanation

ACT Multi-Step Data refers to problems that require extracting, comparing, and manipulating information across multiple data representations or through several mathematical operations. Unlike simple data retrieval, where you might just identify a single point on a graph, multi-step questions force you to use one piece of information as a "key" to unlock the next. This often involves cross-referencing a table with a line graph or performing arithmetic—such as finding the mean, median, or percentage change—on a subset of data you've just identified.

To tackle these effectively, follow a consistent workflow:

• Identify the Goal: Read the question carefully to determine what the final units or values should be.
• Locate the Starting Point: Determine which table or figure contains the initial information needed.
• Bridge the Data: Look for common variables that link different charts (e.g., if Table 1 lists "Trial Numbers" and Figure 2 shows results by "Trial Number").
• Execute Calculations: Perform any necessary math, such as $\text{Rate} = \frac{ \text{Distance}}{ \text{Time}}$, accurately.

For more foundational practice on reading complex passages, you might also find ACT Reading Practice Practice Questions with Answers helpful for improving your overall comprehension speed.

Solved Examples

Example 1: A study tracks the growth of three plants. Table 1 shows that Plant A grew 5 cm in Week 1. Figure 1 shows that in Week 2, all plants grew at double their Week 1 rate. What was the total height of Plant A after Week 2?

1. Identify Week 1 growth for Plant A: 5 cm.
2. Calculate Week 2 growth: $5 \text{ cm} \times 2 = 10 \text{ cm}$.
3. Sum the growth for both weeks: $5 \text{ cm} + 10 \text{ cm} = 15 \text{ cm}$.
4. The final answer is 15 cm.

Example 2: A car's fuel efficiency is 25 miles per gallon (mpg). If gas costs $3.50 per gallon, how much will it cost to drive the distance shown on a map as 150 miles?

1. Find the total gallons needed: $\frac{150 \text{ miles}}{25 \text{ mpg}} = 6 \text{ gallons}$.
2. Calculate the total cost: $6 \text{ gallons} \times \$3.50/ \text{gallon} = \$21.00$.
3. The final cost is $21.00.

Example 3: In a chemistry experiment, Solution X has a density of $1.2 \text{ g/mL}$. If a student uses a volume of Solution X that contains 60 grams of mass, and then dilutes it with 50 mL of water, what is the new total volume?

1. Calculate the initial volume of Solution X: $\text{Volume} = \frac{ \text{Mass}}{ \text{Density}} = \frac{60 \text{ g}}{1.2 \text{ g/mL}} = 50 \text{ mL}$.
2. Add the volume of water: $50 \text{ mL} + 50 \text{ mL} = 100 \text{ mL}$.
3. The final volume is 100 mL.

Practice Questions

1. A local bakery sells cupcakes for $3.00 each or a dozen for $30.00. If a customer needs 30 cupcakes for a party, what is the minimum amount they will spend?

2. Based on a chart showing that a pump moves 15 liters of water per minute, how many hours will it take to empty a 1,800-liter pool?

3. A researcher observes that the temperature of a liquid increases by $3^\circ \text{C}$ every 10 minutes. If the starting temperature was $20^\circ \text{C}$, what will the temperature be after 1 hour?

4. In a survey, 40% of 500 students preferred pizza. Of those who preferred pizza, 25% liked pepperoni. How many students liked pepperoni pizza?

5. A graph shows a car accelerating from 0 to 60 mph in 6 seconds. If the acceleration is constant, what was the car's speed at the 4-second mark?

6. Table A shows the price of gold is $2,000 per ounce. Table B shows that a specific coin contains 0.25 ounces of gold and 0.05 ounces of copper. If copper is negligible in cost, what is the value of the gold in 10 such coins?

7. A scientist notes that Bacteria Pop. A doubles every 4 hours. If the initial population is 100, what will the population be after 12 hours?

8. A rectangle has a perimeter of 40 cm. If the length is 12 cm, what is the area of the rectangle in square centimeters?

9. A dataset shows that a runner covers 400 meters in 80 seconds. If they maintain this pace, how many kilometers will they run in 20 minutes? (Note: $1,000 \text{ meters} = 1 \text{ km}$)

10. A store offers a "Buy 2, Get 1 Free" deal on shirts that cost $20 each. If a shopper takes 7 shirts to the register, how much will they pay before tax?

Answers & Explanations

1. $78.00. To get 30 cupcakes, the customer should buy 2 dozen ($24 \text{ cupcakes}$) for $2 \times \$30 = \$60$. They still need 6 more cupcakes, which cost $6 \times \$3 = \$18$. Total: $\$60 + \$18 = \$78$.

2. 2 hours. First, find the total minutes: $1,800 / 15 = 120 \text{ minutes}$. Convert minutes to hours: $120 / 60 = 2 \text{ hours}$.

3. $38^\circ \text{C}$. There are six 10-minute intervals in 1 hour. Total increase: $6 \times 3^\circ \text{C} = 18^\circ \text{C}$. Final temperature: $20 + 18 = 38^\circ \text{C}$.

4. 50 students. First, find the number of pizza lovers: $0.40 \times 500 = 200$. Then, find 25% of that group: $0.25 \times 200 = 50$.

5. 40 mph. The rate of acceleration is $60 / 6 = 10 \text{ mph per second}$. At 4 seconds, the speed is $4 \times 10 = 40 \text{ mph}$.

6. $5,000. One coin has $0.25 \times \$2,000 = \$500$ worth of gold. For 10 coins, the value is $10 \times \$500 = \$5,000$.

7. 800. In 12 hours, the population doubles three times ($12 / 4 = 3$). Sequence: $100 \rightarrow 200 \rightarrow 400 \rightarrow 800$.

8. $96 \text{ cm}^2$. Perimeter $P = 2l + 2w$. So, $40 = 2(12) + 2w \rightarrow 40 = 24 + 2w \rightarrow 16 = 2w \rightarrow w = 8$. Area $A = l \times w = 12 \times 8 = 96$.

9. 6 km. Speed is $400 / 80 = 5 \text{ meters/second}$. 20 minutes is $20 \times 60 = 1,200 \text{ seconds}$. Distance: $5 \times 1,200 = 6,000 \text{ meters}$, which is 6 km.

10. $100. Groups of 3 shirts cost $40 (2 paid, 1 free). Seven shirts consist of two groups of 3, plus one extra shirt. Cost: $(2 \times \$40) + \$20 = \$100$.

1. A chart shows that a machine produces 40 units per hour. If the factory operates two machines for 8 hours a day, how many units are produced daily?

• A320
• B640
• C80
• D160

Frequently Asked Questions

How do multi-step data questions differ from standard data questions?

Standard data questions usually ask you to locate a specific value on a chart, whereas multi-step questions require you to use that value in a subsequent calculation or to find a related value in a different figure. They test synthesis and mathematical application rather than just simple observation.

Where are multi-step data questions found on the ACT?

These questions appear most frequently in the Science section (Data Representation and Research Summaries) and the Math section. In Science, they often involve comparing results from Experiment 1 and Experiment 2 to draw a conclusion.

What is the best strategy for avoiding errors in these problems?

Write down each intermediate step and keep track of your units to avoid simple calculation mistakes. Often, the ACT includes "distractor" answers that represent the result of only the first step of a multi-step problem.

Do I need advanced math for ACT Multi-Step Data questions?

No, the math itself is usually limited to basic arithmetic, percentages, ratios, and simple algebra. The difficulty lies in the logic of connecting different data points and ensuring you are using the correct values from the provided visuals.

Can I use a calculator for these questions?

You can use a calculator on the Math section, which can help with multi-step arithmetic. However, calculators are not permitted on the Science section, so you must be comfortable performing basic calculations, like those found in ACT Subject Verb Agreement Practice Questions with Answers for grammar, or simple division for science data, by hand or mentally.