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Mathematical Reasoning — 10 free samples

Q1. Solve 3x + 2 = 14

  1. 4 ✓
  2. 5
  3. 3
  4. 6

Explanation: Subtract 2 and divide by 3, so x = 4.

Q2. What is 30% of 80?

  1. 26
  2. 24 ✓
  3. 48
  4. 31

Explanation: Convert the percent to a decimal and multiply: 0.3 × 80 = 24.

Q3. What is the mean of 4, 6, 8, 10?

  1. 6
  2. 8
  3. 7 ✓
  4. 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?

  1. 18
  2. 24
  3. 27
  4. 21 ✓

Explanation: Each notebook costs $3; multiply by 7.

Q5. What is the area of a rectangle 5 by 7?

  1. 35 ✓
  2. 24
  3. 12
  4. 42

Explanation: Area = length × width = 35 square units.

Q6. What is the slope between (2,4) and (4,7)?

  1. 2/3
  2. 3/2 ✓
  3. 3
  4. 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?

  1. 5/8
  2. 3/5
  3. 3/8 ✓
  4. 1/8

Explanation: Favorable outcomes ÷ total outcomes = 3/8.

Q8. Evaluate 3² + 4.

  1. 10
  2. 5
  3. 49
  4. 13 ✓

Explanation: 3² = 9; add 4 to get 13.

Q9. Evaluate 3x − 2 when x = 3.

  1. 7 ✓
  2. 10
  3. 6
  4. 3

Explanation: Substitute and calculate: 3 × 3 − 2 = 7.

Q10. What is the perimeter of a rectangle 4 by 5?

  1. 20
  2. 18 ✓
  3. 9
  4. 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?

  1. Evening hours made the library more accessible. ✓
  2. The school garden supports food and learning.
  3. The bus lane improved transit speed and use.
  4. 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?

  1. It supplied vegetables and a science classroom.
  2. Weekly visits rose by 30 percent. ✓
  3. Trips fell from 42 to 31 minutes.
  4. 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?

  1. One project can serve more than one school need.
  2. Faster service can attract more riders.
  3. Working adults benefit from services offered after work. ✓
  4. 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?

  1. A Garden That Teaches
  2. A Faster Bus Route
  3. Restoring the Playground
  4. 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?

  1. Evening hours made the library more accessible. ✓
  2. The school garden supports food and learning.
  3. The bus lane improved transit speed and use.
  4. 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?

  1. It supplied vegetables and a science classroom.
  2. Weekly visits rose by 30 percent. ✓
  3. Trips fell from 42 to 31 minutes.
  4. 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?

  1. The school garden supports food and learning.
  2. Trips fell from 42 to 31 minutes.
  3. Evening hours made the library more accessible. Weekly visits rose by 30 percent. ✓
  4. 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?

  1. To entertain with fiction
  2. To give step-by-step directions
  3. To mock the participants
  4. 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?

  1. Working adults benefit from services offered after work. ✓
  2. One project can serve more than one school need.
  3. Faster service can attract more riders.
  4. 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?

  1. Weekly visits rose by 30 percent.
  2. The school garden supports food and learning. ✓
  3. Working adults benefit from services offered after work.
  4. 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?

  1. fertilizer amount ✓
  2. plant height
  3. sample size
  4. 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?

  1. fertilizer amount
  2. plant height ✓
  3. laboratory name
  4. 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?

  1. Seeds with eight hours of light germinated fastest.
  2. Sugar dissolved faster in warmer water.
  3. Plants given moderate fertilizer grew tallest. ✓
  4. 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?

  1. Change several variables
  2. Remove measurements
  3. Choose the result first
  4. 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?

  1. fertilizer amount affects plant height ✓
  2. The researcher’s name changes the result
  3. All conditions change together
  4. 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?

  1. Seeds with eight hours of light germinated fastest.
  2. Plants given moderate fertilizer grew tallest. ✓
  3. Sugar dissolved faster in warmer water.
  4. 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?

  1. To guarantee a desired result
  2. To avoid collecting data
  3. To isolate the effect of the independent variable ✓
  4. 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?

  1. Seeds with eight hours of light germinated fastest.
  2. Sugar dissolved faster in warmer water.
  3. Cars traveled farther from higher ramps.
  4. 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?

  1. Repeat it with more samples ✓
  2. Change several variables
  3. Remove measurements
  4. 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?

  1. Seeds with eight hours of light germinated fastest.
  2. Plants given moderate fertilizer grew tallest. ✓
  3. Sugar dissolved faster in warmer water.
  4. 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?

  1. The three branches have different roles. ✓
  2. Each branch can limit another.
  3. The amendment lists protected freedoms.
  4. 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?

  1. checks and balances
  2. separation of powers ✓
  3. civil liberties
  4. 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?

  1. Each branch can limit another.
  2. The amendment lists protected freedoms.
  3. The three branches have different roles. ✓
  4. 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?

  1. Each branch can limit another.
  2. The amendment lists protected freedoms.
  3. Power is shared across levels of government.
  4. 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?

  1. separation of powers ✓
  2. checks and balances
  3. civil liberties
  4. 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?

  1. Each branch can limit another.
  2. The three branches have different roles. ✓
  3. The amendment lists protected freedoms.
  4. 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?

  1. checks and balances
  2. civil liberties
  3. separation of powers ✓
  4. 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?

  1. Each branch can limit another.
  2. The amendment lists protected freedoms.
  3. Power is shared across levels of government.
  4. 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?

  1. To explain separation of powers with an example ✓
  2. To entertain with fiction
  3. To give technical instructions
  4. 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?

  1. Each branch can limit another.
  2. The three branches have different roles. ✓
  3. Power is shared across levels of government.
  4. 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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