Free FTCE Middle Grades 5-9 Questions and Answers — Questions and Answers

Question 1: On a coordinate plane, which quadrant does the point (-5, -5) reside?

I
II
III (Correct answer)
IV

Correct answer: III

A coordinate plane is divided into four quadrants. Quadrant I has positive x and positive y values (+,+), Quadrant II has negative x and positive y values (-,+), and Quadrant IV has positive x and negative y values (+,-). Since the point (-5, -5) has both negative x and negative y coordinates, it resides in Quadrant III.

Question 2: Solve 112 - 48.

82
72
64 (Correct answer)
160

Correct answer: 64

To solve 112 - 48, you perform a simple subtraction. Starting from the right, 2 minus 8 requires borrowing from the tens place, making it 12 minus 8, which is 4. Then, in the tens place, 0 minus 4 (after borrowing) requires borrowing from the hundreds place, making it 10 minus 4, which is 6. The final result is 64.

Question 3: A rectangular prism with dimensions of 2.5 centimeters in length, 4.0 centimeters in width, and 3.8 centimeters in height has what surface area?

69.4 cm² (Correct answer)
56.4 cm²
34.7 cm²
138.8 cm²

Correct answer: 69.4 cm²

The surface area of a rectangular prism is calculated using the formula 2(lw + lh + wh), where l is length, w is width, and h is height. Substituting the given dimensions (l=2.5 cm, w=4.0 cm, h=3.8 cm) into the formula yields 2((2.5 * 4.0) + (2.5 * 3.8) + (4.0 * 3.8)). This simplifies to 2(10 + 9.5 + 15.2) = 2(34.7) = 69.4 cm².

Question 4: What is true about y = mt if m = 3 and t = 4?

If y = mt, then t = 12.
If y = mt, then y = 7.
If y = mt, then m = 12.
If y = mt then y = 12. (Correct answer)

Correct answer: If y = mt then y = 12.

The equation given is y = mt. To find the value of y, substitute the provided values for m and t into the equation. Given m = 3 and t = 4, the calculation becomes y = 3 * 4. Performing the multiplication, we find that y = 12. Therefore, the statement 'If y = mt then y = 12' is true under these conditions.

Question 5: 0.045 is to be expressed as a percentage.

0.45%
45%
4.50% (Correct answer)
450%

Correct answer: 4.50%

To express a decimal as a percentage, you multiply the decimal by 100 and then add the percent symbol. In this case, 0.045 multiplied by 100 equals 4.5. Therefore, 0.045 expressed as a percentage is 4.50%.

Question 6: Students in the seventh grade are asked to participate in peer-editing exercises with two or more of their classmates. This kind of endeavor is an illustration of

brainstorming
collaborative learning (Correct answer)
real-world engagement
one-on-one learning

Correct answer: collaborative learning

Collaborative learning involves students working together in groups to achieve a common goal or complete a task. Peer-editing exercises, where students review and provide feedback on each other's work, are a prime example of this approach. This method encourages communication, shared responsibility, and mutual support among learners.

Question 7: What is the first aspect of the storyline in a narrative form, such as a novel or short story, that students should be able to recognize?

resolution
exposition (Correct answer)
rising action
climax

Correct answer: exposition

The exposition is the first aspect of the storyline in a narrative. Its primary role is to introduce the main characters, establish the setting, and provide essential background information that helps the reader understand the initial situation. This foundational element sets the stage before the rising action, climax, and resolution unfold.

Question 8: Which of the following would not be acceptable as supporting information in a research paper?

Brighton County School District has a 7-period schedule
A 737 commercial plane has two engines
Cooperative Learning groups enhances student mastery (Correct answer)
According to a recent study, 28% of all Americans prefer chicken to steak

Correct answer: Cooperative Learning groups enhances student mastery

In a research paper, supporting information should be factual, verifiable, or based on empirical evidence from credible sources. The statement 'Cooperative Learning groups enhances student mastery' is a general claim or opinion without specific data, research, or attribution. Without a citation or specific study, it cannot be accepted as verifiable supporting information in an academic context.

Question 9: The best method for instructing kids on how to rephrase an idea is:

to re-write the same content backwards
to copy a statement word for word
to analyze the statement, copy the words, then reverse the subject and verb
to maintain the idea behind the statement, but use words other than those used in the statement (Correct answer)

Correct answer: to maintain the idea behind the statement, but use words other than those used in the statement

Rephrasing, or paraphrasing, an idea means expressing the original concept using different words and sentence structures while maintaining its core meaning. The goal is to convey the same message accurately and clearly, but in your own voice. This demonstrates understanding and avoids plagiarism, making the content your own while preserving the original message.

Question 10: Which of the following plant organelles matches its role correctly?

Chloroplasts release energy through respiration
Nucleus contains DNA and acts as the control center of the cell (Correct answer)
Vesicles develop turgor pressure for the cell
The cell wall containing microtubules and microfilaments which developed the internal structure of the cell

Correct answer: Nucleus contains DNA and acts as the control center of the cell

The nucleus is a vital organelle in eukaryotic cells that contains the cell's genetic material (DNA) and regulates all cell activities. It controls gene expression and mediates DNA replication during the cell cycle. This makes it the 'control center' of the cell, coordinating its functions and heredity.

Question 11: During the lysogenic cycle, what part of the bacteriophage integrates with bacterial DNA?

prophage (Correct answer)
proteins
tail fibers
capsid

Correct answer: prophage

During the lysogenic cycle, a bacteriophage's DNA integrates into the host bacterium's chromosome. Once integrated, this viral DNA is specifically referred to as a prophage. The prophage then replicates along with the bacterial DNA, remaining dormant until environmental triggers induce it to enter the lytic cycle.

Question 12: Which of the following does not constitute a secure method of chemical storage?

Storing acids and bases in glass containers.
Storing chemicals no higher than eye level.
Storing liquid chemicals on shelves that are above solid chemicals. (Correct answer)
Properly labeling chemical containers with the name, concentration, date of preparation, etc.

Correct answer: Storing liquid chemicals on shelves that are above solid chemicals.

Storing liquid chemicals on shelves above solid chemicals is a significant safety hazard. If a liquid container breaks or leaks, the spilled liquid could fall onto and react with the solid chemicals below, potentially causing a dangerous chemical reaction, fire, or explosion. Best practice dictates storing liquids on lower shelves to minimize spill hazards.

Question 13: Which of the following represents a laboratory safety practice?

Never touch your face, nose, mouth, or eyes while in the lab.
Never drink, chew gum, or eat while you are in the lab.
Always wear protective goggles, gloves, and a lab coat while you are working in the lab.
All of the above. (Correct answer)

Correct answer: All of the above.

All the listed options are crucial laboratory safety practices designed to protect individuals from chemical exposure, contamination, and injury. Avoiding touching the face prevents ingestion or absorption of chemicals, refraining from eating/drinking prevents contamination, and wearing PPE (goggles, gloves, lab coat) provides physical barriers against splashes and spills. Adhering to all these practices ensures a safer lab environment.

Question 14: A closed container with a volume of 1.5 L contains 0.50 moles of neon gas. At constant temperature and pressure, how many more moles of neon gas are needed to increase the container volume to 2.0 L? Assume the best conduct.

0.5 mol
0.75 mol
0.16 mol (Correct answer)
1.5 mol

Correct answer: 0.16 mol

This problem uses Avogadro's Law (V1/n1 = V2/n2) at constant temperature and pressure. Given V1 = 1.5 L, n1 = 0.50 mol, and V2 = 2.0 L, we can solve for the final moles (n2). n2 = (V2 * n1) / V1 = (2.0 L * 0.50 mol) / 1.5 L = 1.0 / 1.5 = 2/3 mol. To find how many *more* moles are needed, subtract the initial moles from the final moles: (2/3) mol - 0.50 mol = (2/3) - (1/2) = (4-3)/6 = 1/6 mol, which is approximately 0.1667 mol, rounding to 0.16 mol.

Question 15: Which of the following colors is reflected off a yellow flower when it is exposed to white light?

black
white
red
yellow (Correct answer)

Correct answer: yellow

The color an object appears is determined by the wavelengths of light it reflects. When a yellow flower is exposed to white light (which contains all colors of the spectrum), it absorbs all colors except yellow. The yellow wavelengths are reflected off the flower and perceived by our eyes, making the flower appear yellow.

Question 16: In hamsters, a brown coat predominates over a white coat. A homozygous white hamster and a homozygous brown hamster are bred. How many of the children will be brown?

25%
50%
75%
100% (Correct answer)

Correct answer: 100%

If brown coat (B) predominates over white coat (b), brown is the dominant allele. A homozygous white hamster has the genotype bb, and a homozygous brown hamster has the genotype BB. When these two are bred (BB x bb), all offspring will inherit one B allele from the brown parent and one b allele from the white parent, resulting in a Bb genotype. Since brown is dominant, all offspring (100%) with the Bb genotype will display a brown coat.

Question 17: A federal executive order may only be issued by one person.

The president (Correct answer)
Any person in authority in the executive branch
The president, secretary of defense, and chairman of the joint chiefs of staff
The president, speaker of the House, and Chief Justice of the Supreme Court

Correct answer: The president

A federal executive order is a directive issued solely by the President of the United States. These orders manage operations of the federal government and have the force of law, though they are subject to judicial review and can be overturned by Congress or future presidents. No other individual or group within the executive branch has the authority to issue such orders.

Question 18: Investors had pre-Great Depression expectations concerning

labor costs.
loan rates.
stock futures. (Correct answer)
manufacturing yields.

Correct answer: stock futures.

Prior to the Great Depression, many investors engaged in speculative buying of stocks, often purchasing 'on margin' (borrowing money to buy stocks). They had high expectations that stock prices, or 'stock futures,' would continue to rise indefinitely, allowing them to sell for a profit. This overconfidence contributed to the unsustainable market bubble that eventually burst.

Question 19: Which of the following is a customer preference element?

Recidivism
Price sensitivity (Correct answer)
Brand devaluation
Tensor analysis

Correct answer: Price sensitivity

Customer preference elements refer to factors that influence a customer's choice of products or services. Price sensitivity is a key preference element, indicating how much a customer's purchasing decision is affected by changes in price. Customers with high price sensitivity are more likely to choose lower-priced options, while those with low sensitivity are less affected by price.

Question 20: Active sensing: what is it?

The study of volcanic eruptions
The study of evolutionary biology
A type of remote sensing where sunlight is the primary energy source used
A type of remote sensing where aircrafts or satellites are the primary energy source used (Correct answer)

Correct answer: A type of remote sensing where aircrafts or satellites are the primary energy source used

Active remote sensing involves systems that emit their own energy (e.g., radar or lidar) to illuminate a target and then detect the reflected or backscattered energy. This contrasts with passive remote sensing, which relies on natural energy sources like sunlight. Therefore, active sensing uses instruments on aircrafts or satellites to generate and send out energy pulses.

Question 21: What Jewish text is considered to be most sacred?

Torah (Correct answer)
Rig Veda
Hadith
New Testament

Correct answer: Torah

The Torah is considered the most sacred text in Judaism, serving as its central and foundational text. It comprises the first five books of the Hebrew Bible (Genesis, Exodus, Leviticus, Numbers, and Deuteronomy) and contains the fundamental laws and commandments given by God to Moses. It is the primary source for Jewish religious law and tradition.

Free FTCE Middle Grades 5-9 Questions and Answers

On a coordinate plane, which quadrant does the point (-5, -5) reside?