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Mathematical Reasoning — 10 free samples
Q1. Solve 3x + 2 = 14
- 4 ✓
- 5
- 3
- 6
Explanation: Subtract 2 and divide by 3, so x = 4.
Q2. What is 30% of 80?
- 26
- 24 ✓
- 48
- 31
Explanation: Convert the percent to a decimal and multiply: 0.3 × 80 = 24.
Q3. What is the mean of 4, 6, 8, 10?
- 6
- 8
- 7 ✓
- 10
Explanation: Add the values and divide by 4; the mean is 7.
Q4. 4 notebooks cost $12. What do 7 cost at the same rate?
- 18
- 24
- 27
- 21 ✓
Explanation: Each notebook costs $3; multiply by 7.
Q5. What is the area of a rectangle 5 by 7?
- 35 ✓
- 24
- 12
- 42
Explanation: Area = length × width = 35 square units.
Q6. What is the slope between (2,4) and (4,7)?
- 2/3
- 3/2 ✓
- 3
- 2
Explanation: Slope = vertical change ÷ horizontal change = 3/2.
Q7. A bag has 3 red and 5 blue marbles. What is the probability of red?
- 5/8
- 3/5
- 3/8 ✓
- 1/8
Explanation: Favorable outcomes ÷ total outcomes = 3/8.
Q8. Evaluate 3² + 4.
- 10
- 5
- 49
- 13 ✓
Explanation: 3² = 9; add 4 to get 13.
Q9. Evaluate 3x − 2 when x = 3.
- 7 ✓
- 10
- 6
- 3
Explanation: Substitute and calculate: 3 × 3 − 2 = 7.
Q10. What is the perimeter of a rectangle 4 by 5?
- 20
- 18 ✓
- 9
- 13
Explanation: Perimeter = 2 × (length + width) = 18.
Reasoning Through Language Arts — 10 free samples
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q1. What is the main idea?
- Evening hours made the library more accessible. ✓
- The school garden supports food and learning.
- The bus lane improved transit speed and use.
- Repairs helped return the playground to community use.
Explanation: The passage details directly support this choice: Evening hours made the library more accessible.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q2. Which detail best supports the main idea?
- It supplied vegetables and a science classroom.
- Weekly visits rose by 30 percent. ✓
- Trips fell from 42 to 31 minutes.
- Families used it more often after repairs.
Explanation: The passage details directly support this choice: Weekly visits rose by 30 percent.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q3. Which inference is best supported?
- One project can serve more than one school need.
- Faster service can attract more riders.
- Working adults benefit from services offered after work. ✓
- Maintained public spaces can encourage activity.
Explanation: The passage details directly support this choice: Working adults benefit from services offered after work.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q4. Which title best fits the passage?
- A Garden That Teaches
- A Faster Bus Route
- Restoring the Playground
- Later Library Hours ✓
Explanation: The passage details directly support this choice: Later Library Hours
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q5. Which sentence is a claim supported by the passage?
- Evening hours made the library more accessible. ✓
- The school garden supports food and learning.
- The bus lane improved transit speed and use.
- Repairs helped return the playground to community use.
Explanation: The passage details directly support this choice: Evening hours made the library more accessible.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q6. Which sentence is a factual detail?
- It supplied vegetables and a science classroom.
- Weekly visits rose by 30 percent. ✓
- Trips fell from 42 to 31 minutes.
- Families used it more often after repairs.
Explanation: The passage details directly support this choice: Weekly visits rose by 30 percent.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q7. Which choice best summarizes the passage?
- The school garden supports food and learning.
- Trips fell from 42 to 31 minutes.
- Evening hours made the library more accessible. Weekly visits rose by 30 percent. ✓
- Maintained public spaces can encourage activity.
Explanation: The passage details directly support this choice: Evening hours made the library more accessible. Weekly visits rose by 30 percent.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q8. What is the author’s main purpose?
- To entertain with fiction
- To give step-by-step directions
- To mock the participants
- To inform readers about the result of an initiative ✓
Explanation: The passage details directly support this choice: To inform readers about the result of an initiative
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q9. Which conclusion follows from the passage?
- Working adults benefit from services offered after work. ✓
- One project can serve more than one school need.
- Faster service can attract more riders.
- Maintained public spaces can encourage activity.
Explanation: The passage details directly support this choice: Working adults benefit from services offered after work.
After the library added evening hours, weekly visits rose by 30 percent. A survey showed that working adults valued the later schedule.
Q10. Which statement is NOT supported by the passage?
- Weekly visits rose by 30 percent.
- The school garden supports food and learning. ✓
- Working adults benefit from services offered after work.
- Later Library Hours
Explanation: The passage gives no evidence for this unrelated statement.
Science — 10 free samples
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q1. What is the independent variable?
- fertilizer amount ✓
- plant height
- sample size
- time
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q2. What is the dependent variable?
- fertilizer amount
- plant height ✓
- laboratory name
- researcher age
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q3. Which conclusion is supported?
- Seeds with eight hours of light germinated fastest.
- Sugar dissolved faster in warmer water.
- Plants given moderate fertilizer grew tallest. ✓
- Cars traveled farther from higher ramps.
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q4. How can reliability be improved?
- Change several variables
- Remove measurements
- Choose the result first
- Repeat it with more samples ✓
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q5. What hypothesis is being tested?
- fertilizer amount affects plant height ✓
- The researcher’s name changes the result
- All conditions change together
- There is no relationship between the variables
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q6. Which result is direct evidence?
- Seeds with eight hours of light germinated fastest.
- Plants given moderate fertilizer grew tallest. ✓
- Sugar dissolved faster in warmer water.
- Cars traveled farther from higher ramps.
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q7. Why keep other conditions constant?
- To guarantee a desired result
- To avoid collecting data
- To isolate the effect of the independent variable ✓
- To change the hypothesis
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q8. What should the graph show?
- Seeds with eight hours of light germinated fastest.
- Sugar dissolved faster in warmer water.
- Cars traveled farther from higher ramps.
- Plants given moderate fertilizer grew tallest. ✓
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q9. Why repeat the experiment?
- Repeat it with more samples ✓
- Change several variables
- Remove measurements
- Choose the result first
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
An experiment changes fertilizer amount and measures plant height. Result: Plants given moderate fertilizer grew tallest.
Q10. Which claim do the data support?
- Seeds with eight hours of light germinated fastest.
- Plants given moderate fertilizer grew tallest. ✓
- Sugar dissolved faster in warmer water.
- Cars traveled farther from higher ramps.
Explanation: The changed variable is fertilizer amount, and the measured variable is plant height. Plants given moderate fertilizer grew tallest.
Social Studies — 10 free samples
The Constitution divides national power among legislative, executive, and judicial branches.
Q1. What is the main idea?
- The three branches have different roles. ✓
- Each branch can limit another.
- The amendment lists protected freedoms.
- Power is shared across levels of government.
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q2. Which principle is illustrated?
- checks and balances
- separation of powers ✓
- civil liberties
- federalism
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q3. Which detail supports the idea?
- Each branch can limit another.
- The amendment lists protected freedoms.
- The three branches have different roles. ✓
- Power is shared across levels of government.
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q4. Which inference is valid?
- Each branch can limit another.
- The amendment lists protected freedoms.
- Power is shared across levels of government.
- The three branches have different roles. ✓
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q5. What is the best title?
- separation of powers ✓
- checks and balances
- civil liberties
- federalism
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q6. Which statement summarizes the text?
- Each branch can limit another.
- The three branches have different roles. ✓
- The amendment lists protected freedoms.
- Power is shared across levels of government.
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q7. Which concept applies?
- checks and balances
- civil liberties
- separation of powers ✓
- federalism
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q8. Which evidence appears?
- Each branch can limit another.
- The amendment lists protected freedoms.
- Power is shared across levels of government.
- The three branches have different roles. ✓
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q9. What is the purpose of the example?
- To explain separation of powers with an example ✓
- To entertain with fiction
- To give technical instructions
- To advertise a product
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
The Constitution divides national power among legislative, executive, and judicial branches.
Q10. Which claim is supported?
- Each branch can limit another.
- The three branches have different roles. ✓
- Power is shared across levels of government.
- Mountains wear down over time.
Explanation: The text connects its evidence to this concept: separation of powers. The three branches have different roles.
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