Hard ACT Multi-Step Data Practice Questions

Approximately 25% of the ACT Science section requires students to synthesize information from multiple data sources to reach a single conclusion. These Hard ACT Multi-Step Data Practice Questions test your ability to look at Figure 1, find a value, carry that value over to Table 2, and perhaps use a third source to identify a trend or calculation. Success on the ACT Prep journey depends on your capacity to remain organized while navigating these layers of information.

By practicing with complex datasets, you can improve your speed and accuracy on the exam. If you are looking for more foundational practice, you might also find ACT Data Interpretation Practice Questions useful for building core skills. However, the questions on this page are designed to simulate the most difficult scenarios you will encounter on test day.

Concept Explanation

Hard ACT multi-step data questions are problems that require a student to link variables across two or more figures, tables, or text descriptions to solve for a final unknown. Unlike simple data retrieval, these questions involve a "chain of logic" where the output of the first step becomes the input for the second step. For instance, you might need to find the temperature at a specific depth in a graph, then locate that temperature in a table to determine which chemical remains stable at that heat level.

To master these items, follow a systematic approach:

1. Identify the target variable: What is the final answer asking for?
2. Trace the path: Determine which figure contains the starting information and which table bridges the gap to the final answer.
3. Check the units: Multi-step problems often include unit conversions (e.g., grams to kilograms) or scale changes between graphs.
4. Verify the constraints: Look for specific conditions in the text, such as "at a pressure of 1 atm" or "using Sample B only."

According to the ACT Science standards, these items fall under the "Interpretation of Data" and "Scientific Investigation" categories. You can further refine your skills using our ACT Data Analysis Practice Questions or our ACT Graph Practice Questions for targeted visual literacy training.

Solved Examples

Example 1: A study examines the solubility of Salt X at various temperatures (Table 1) and the cooling rate of a solution over time (Figure 1). Figure 1 shows that at 10 minutes, the solution temperature is $40^\circ \text{C}$. Table 1 shows that Salt X has a solubility of $15 \text{g}/100 \text{g}$ water at $40^\circ \text{C}$ and $25 \text{g}/100 \text{g}$ water at $60^\circ \text{C}$. If a student has $200 \text{g}$ of water, how many grams of Salt X can dissolve at the 10-minute mark?

1. Find the temperature at 10 minutes from Figure 1: $40^\circ \text{C}$.
2. Look up solubility for $40^\circ \text{C}$ in Table 1: $15 \text{g}$ per $100 \text{g}$ of water.
3. Adjust for the specific volume of water: Since we have $200 \text{g}$ of water, multiply the solubility by 2.
4. Calculation: $15 \times 2 = 30 \text{g}$.

Example 2: Experiment 1 measures the density of four liquids (A, B, C, D). Experiment 2 measures the pressure exerted by a liquid at different depths. If Liquid C has a density of $1.2 \text{g/cm}^3$, and the pressure formula is $P = \text{density} \times \text{depth} \times 9.8$, what is the pressure at a depth of 5 meters for Liquid C?

1. Identify the density of Liquid C from the text/table: $1.2 \text{g/cm}^3$.
2. Convert units if necessary (assuming standard units for the formula provided): $1.2 \text{g/cm}^3 = 1200 \text{kg/m}^3$.
3. Plug values into the formula: $P = 1200 \times 5 \times 9.8$.
4. Final result: $58,800 \text{ Pascals}$.

Example 3: A graph shows that the population of bacteria triples every 4 hours. A table shows that at Hour 0, there are 500 bacteria. How many bacteria will be present after 12 hours?

1. Determine the number of tripling periods: $12 \text{ hours} / 4 \text{ hours/period} = 3 \text{ periods}$.
2. Apply the growth rate: $500 \times 3 \times 3 \times 3$.
3. Calculation: $500 \times 27 = 13,500$.

Practice Questions

1. In a study of soil pH, Plot A has a pH of 5.5 and Plot B has a pH of 7.5. A chart indicates that blueberries grow best in pH $4.5 \text{--}5.5$ and tomatoes grow best in pH $6.5 \text{--}7.5$. If a farmer applies a lime treatment that increases pH by 1.0 to all plots, which plot(s) will be suitable for tomatoes?
2. Figure 1 shows the boiling point of Ethanol is $78^\circ \text{C}$. Table 2 shows that at a pressure of 0.5 atm, boiling points drop by $15\%$. What is the boiling point of Ethanol at 0.5 atm?
3. A scientist finds that Substance Z has a mass of 50g and a volume of $10 \text{cm}^3$. Using a table that lists the densities of Gold ($19.3 \text{g/cm}^3$), Lead ($11.3 \text{g/cm}^3$), and Pyrite ($5.0 \text{g/cm}^3$), identify Substance Z.

4. Based on a graph showing that a car travels 60 miles per hour, and a table showing fuel efficiency is 30 miles per gallon (mpg) at that speed, how many gallons of fuel are used in a 3-hour trip?
5. Table 1 shows that Protein X denatures at $60^\circ \text{C}$. Figure 2 shows a heating curve where the temperature of a solution rises $5^\circ \text{C}$ every 2 minutes, starting from $20^\circ \text{C}$. At what minute will Protein X begin to denature?
6. A researcher uses a study tool to memorize that the speed of sound in water is $1,480 \text{ m/s}$. If a sonar signal takes 4 seconds to travel to the ocean floor and back, how deep is the water?
7. Figure 1 shows that the concentration of CO2 increases by 2 ppm per year. In 2020, the concentration was 410 ppm. If the trend continues, in what year will the concentration reach 450 ppm?
8. A chemical reaction produces 2 moles of gas for every 1 mole of reactant. If a student starts with 5 moles of reactant and each mole of gas occupies 22.4L at STP, what is the total volume of gas produced?
9. Table A shows that Material Y has a specific heat of $0.5 \text{ cal/g}^\circ \text{C}$. If 100 calories are added to 10g of Material Y, how much will the temperature increase? (Formula: $Q = mc\Delta T$)
10. A map shows a trail is 15 km long. A hiker walks at a speed of 3 km/h for the first half and 2 km/h for the second half. What is the total time for the hike?

Answers & Explanations

1. Plot A: Initial pH 5.5 + 1.0 = 6.5. Since tomatoes grow best in pH $6.5 \text{--}7.5$, Plot A is now suitable. Plot B becomes 8.5, which is too high.
2. $66.3^\circ \text{C}$: Calculate $15\%$ of 78: $0.15 \times 78 = 11.7$. Subtract from original: $78 - 11.7 = 66.3$.
3. Pyrite: Calculate density ($\text{mass}/ \text{volume}$): $50 \text{g} / 10 \text{cm}^3 = 5.0 \text{g/cm}^3$. Matching this to the table identifies Pyrite.
4. 6 gallons: First, find total distance: $60 \text{ mph} \times 3 \text{ hours} = 180 \text{ miles}$. Then, divide distance by efficiency: $180 / 30 = 6 \text{ gallons}$.
5. 16 minutes: The required increase is $60 - 20 = 40^\circ \text{C}$. At a rate of $5^\circ \text{C}$ every 2 minutes, it takes $(40 / 5) \times 2 = 16 \text{ minutes}$.
6. 2,960 meters: Total distance traveled by the signal is $1,480 \text{ m/s} \times 4 \text{ s} = 5,920 \text{ m}$. Since this is a round trip (down and back), the depth is half: $5,920 / 2 = 2,960 \text{ m}$.
7. 2040: The required increase is $450 - 410 = 40 \text{ ppm}$. At 2 ppm/year, it will take $40 / 2 = 20 \text{ years}$. $2020 + 20 = 2040$.
8. 224L: 5 moles of reactant produce $5 \times 2 = 10 \text{ moles}$ of gas. Total volume = $10 \times 22.4 = 224 \text{L}$.
9. $20^\circ \text{C}$: Rearrange $Q = mc\Delta T$ to $\Delta T = Q / (mc)$. $\Delta T = 100 / (10 \times 0.5) = 100 / 5 = 20$.
10. 6.25 hours: First half (7.5 km) at 3 km/h takes 2.5 hours. Second half (7.5 km) at 2 km/h takes 3.75 hours. Total = $2.5 + 3.75 = 6.25$.

1. If a graph shows a plant grows 2cm per week and a table shows it is currently 10cm tall, how tall will it be in 5 weeks?

• A10cm
• B12cm
• C20cm
• D25cm

Frequently Asked Questions

What makes an ACT data question "multi-step"?

A multi-step question is one where the answer cannot be found in a single location. You must extract a value from one source and use it as a variable to find another value in a different source.

How can I avoid mistakes on these hard questions?

The most effective way is to write down your intermediate values. Labeling the numbers you find in the first step prevents you from confusing them with the final answer options.

Do these questions appear more in the Science or Math section?

While they appear in both, they are the hallmark of the ACT Science section's "Conflicting Viewpoints" and "Data Representation" passages. In Math, they often appear as word problems involving charts.

Are unit conversions common in multi-step data questions?

Yes, the ACT often uses different units in the text than in the figures to test your attention to detail. Always double-check if a graph is in meters while the question asks for centimeters.

Should I read the whole passage before looking at these questions?

No, it is usually more efficient to read the question first, identify the variables needed, and then hunt for those specific data points in the figures and tables.