Grade 6 Math Practice Test: Integers and Absolute Value
- Integers and Absolute Value
- 10 questions
- 12 minutes
This test covers using positive and negative numbers for real situations, opposites, comparing and ordering integers, and absolute value as distance from zero. Tip: on a number line, the number farther to the left is always the smaller one.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
Which integer stands for a loss of 15 yards in a football game?
Correct answer: D
A loss is the opposite of a gain, so it is shown with a negative number: −15. A gain of 15 yards would be 15.
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Question 2
What is the value of |−9|?
Correct answer: A
Absolute value is the distance from 0 on a number line, and −9 is 9 units from 0. Distance is never negative, so −9 is wrong.
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Question 3
Which list is in order from least to greatest?
Correct answer: B
−8 is farthest to the left on a number line, then −3, 0, 2 and 5. Putting −3 before −8 treats −3 as smaller because 3 is less than 8, which is a common mistake.
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Question 4
What is the opposite of the opposite of −6?
Correct answer: C
The opposite of −6 is 6, and the opposite of 6 is −6. Taking the opposite twice brings you back to the starting number.
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Question 5
At 6 a.m. the temperature was −4°F in one town and −11°F in another town.
Which statement is true?
Correct answer: B
−11 is to the left of −4 on a number line, so −11 < −4 and the second town was colder. A larger number after the minus sign means a lower temperature.
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Question 6
A diver is at −30 feet, and a bird is flying 18 feet above sea level.
Which one is farther from sea level, and by how many feet?
Correct answer: A
|−30| = 30 and |18| = 18, so the diver is farther from sea level by 30 − 18 = 12 feet. 48 is the distance between the diver and the bird.
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Question 7
Lia's account balance is −32 dollars, and Sam's balance is −45 dollars.
Which statement is true?
Correct answer: D
A negative balance shows a debt, and its size is the absolute value: Sam owes 45 dollars and Lia owes 32 dollars. The first choice has the right person but a false reason, because −45 is less than −32.
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Question 8
Which number is between −3 and −4 on a number line?
Correct answer: C
−3.5 is halfway between −3 and −4. −2.5 is between −2 and −3, and 3.5 is positive.
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Question 9
Which value is the least?
Correct answer: D
|−7| = 7 and |3| = 3 are positive. Of the negative numbers, −5 is farther left than −2, so −5 is the least. |−7| looks small because of the minus sign, but it equals 7.
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Question 10
Which number has the greatest absolute value?
Correct answer: B
|−14| = 14 is greater than |13| = 13, |9| = 9 and |−6| = 6. 13 is the greatest number, but −14 is farther from zero.
Questions you leave blank are not counted as wrong.
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