Which of the following statements best differentiates integers from other number sets?

Integers include all positive and negative whole numbers, but not fractions or decimals.

Integers consist only of positive whole numbers.

Integers include all numbers, including fractions and decimals.

Integers are only negative numbers.

Which of the following best compares integers with other number sets such as whole numbers, fractions, and decimals?

Integers include positive and negative whole numbers, while whole numbers do not include negatives.

Integers and whole numbers are the same because both include only positive numbers.

Integers include fractions and decimals, making them a larger set than whole numbers.

Integers are only negative numbers, while whole numbers are only positive numbers.

A group of students is sorting objects based on their shapes. They classify the following objects: A can of soda, A basketball, A tent, A shoebox. One student argues that the tent belongs in the same category as the basketball because both have curved surfaces. Another student disagrees. Which of the following explains the mistake in reasoning?

The tent is a pyramid, which has flat faces, while the basketball is a sphere, which has only a curved surface.

The tent is a cone, like an ice cream cone, so it should be in the same category as the basketball.

The tent is a cylinder, like the soda can, because it has two circular bases.

The tent is a prism, which has all flat rectangular faces, unlike the basketball.

A student is given the rule: Start at 15 and decrease by 4 for each term. Two students try to find the fifth term in the pattern but get different answers: Student A: Says the fifth term is -1 Student B: Says the fifth term is -5 How can you analyze who is correct?

Check if the students subtracted correctly by listing all the terms in the sequence.

Multiply 4 by 5 since the pattern is decreasing and subtract the result from 15.

Divide 15 by 4 to determine the correct term.

Assume Student A is correct because -1 is closer to 0.

A teacher claims that multiplying two negative integers always gives a greater result than adding them. Do you agree? Justify your answer with an example.

Agree, because multiplication of two negative numbers always results in a larger number

Disagree, because adding two negative numbers can sometimes give a greater result

Agree, but only when both numbers are large

Disagree, because multiplication always decreases the value

Two students argued about the result of dividing a negative integer by another negative integer. One student says the result is negative, while the other says it is positive. Who is correct? Provide an example to support your answer.

The second student is correct because a negative divided by a negative is positive

The first student is correct because a negative divided by a negative remains negative

Both are correct in different situations

Neither is correct because division rules do not apply to negative integers.

A bank statement shows three transactions: -₱500, +₱300, and -₱200. The account holder claims he has more money than before. Do you agree? Explain why.

Disagree, because the total of negative transactions outweighs the deposit

Agree, because the deposit is larger than the withdrawals

Agree, because adding a positive number always increases the balance

Disagree, because negative numbers cannot be added to positive numbers

A student made a mistake in simplifying the expression −5+(−3)×2. He got -4 as the final answer. Is he correct? If not, what is the mistake?

He is incorrect because multiplication must be done first

He is incorrect because he should have added before multiplying

He is incorrect because addition of negative numbers works differently

A student simplifies the expression (−6+4)×(−2) and gets 4 as the final answer. Do you agree with the student’s answer? Why or why not?

Yes, because order of operations was being follow

Yes, because multiplying before adding gives the correct answer.

No, because the student made a mistake in addition.

No, because the student made a mistake in multiplication.

A teacher wrote the expression (−8+5)×(−3) on the board and asked students to predict whether the result would be positive or negative. Two students gave different answers: Student A: "The result will be negative because we are adding a negative number first." Student B: "The result will be positive because multiplying two negative numbers always gives a positive result." Who is correct? Justify your answer.

Student B is correct because multiplication of two negatives is always positive.

Student A is correct because the sum inside the parentheses is negative.

Both are incorrect because order of operations changes the result.

Both are correct depending on the numbers used.

A farmer recorded his crop production in integers for three months: Month 1: +200 kg Month 2: -150 kg (loss due to pests) Month 3: +100 kg He claims that his total production is positive. Is his claim correct?

Yes, because adding all values results in a positive number.

No, because the losses are greater than the total gain.

Yes, because negative numbers do not affect the final sum.

No, because production cannot be represented using integers.

Leo translated the verbal phrase "Twice a number decreased by five is equal to ten" into the equation: 2x−5=10. Maria, however, wrote "2x + 5 = 10" as her translation.

Leo is correct because "twice a number" means multiplying by 2, and "decreased by five" means subtracting 5.

Maria is correct because adding 5 instead of subtracting still follows the same rule.

Both are incorrect because the phrase should be translated as "2 + x - 5 = 10."

Neither is correct because the equation should be written as "x ÷ 2 - 5 = 10."

Which of the following is the best strategy for translating real-life situations into mathematical expressions or equations?

Look for keywords like "sum," "difference," "product," and "quotient" to determine the operations.

Ignore words and focus only on numbers to form an equation.

Use only addition and multiplication when forming expressions.

Translate every number into a fraction before solving.

FOURTH QUARTER MATH 6 REVIEWER

Authored by Vince Areola

Mathematics

6th Grade

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best describes the set of integers?

All positive numbers only.

All whole numbers and their opposites, including zero.

All fractions and decimals.

All numbers that are greater than zero.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which number is not an integer?

-10

3/4

-6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the sum of (-7) + 4?

-11

-3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A submarine is at -250 meters below sea level. It ascends 120 meters. What is its new position?

-370 meters

130 meters

-130 meters

370 meters

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which solid figure has six square faces, eight vertices, and twelve edges?

Cylinder

Cube

Pyramid

Sphere

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next number in the sequence: 3, 6, 9, 12, __?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following best explains why -3 is an integer?

Because it is a fraction

Because it is a whole number

Because it is a negative whole number.

Because it is a decimal.

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FOURTH QUARTER MATH 6 REVIEWER

Which of the following best describes the set of integers?

Which number is not an integer?

What is the sum of (-7) + 4?

A submarine is at -250 meters below sea level. It ascends 120 meters. What is its new position?

Which solid figure has six square faces, eight vertices, and twelve edges?

What is the next number in the sequence: 3, 6, 9, 12, __?

Which of the following best explains why -3 is an integer?

Which number is greater than -2?

Which of the following objects best represents a cylinder?

What is the next number in the sequence: 5, 8, 11, __?

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