Integers, Opposites and Absolute Value: Grade 6 Math Test Answer Key – PDF Download

Question 1: Integers in context (2 points)

a) Below sea level is negative: \(-65\).

b) A withdrawal decreases the balance: \(-40\).

Scoring: 1 point for each correct integer with the correct sign.

Question 2: Opposites (2 points)

a) \(14\).

b) The opposite of 9 is \(-9\), and the opposite of \(-9\) is \(9\).

Scoring: 1 point for each correct answer.

Question 3: Read a number line (3 points)

Read each point from 0, with left being negative and right being positive.

a) \(-6\) b) \(-1\) c) \(4\)

Scoring: 1 point for each correct number.

Question 4: Compare numbers (2 points)

a) \(-9\) is farther left than \(-6\): \(-9 < -6\).

b) \(-\frac{1}{2} = -0.5\): \(-0.5 = -\frac{1}{2}\).

Scoring: 1 point for each correct symbol.

Question 5: Order integers (2 points)

The negative numbers in order from the left are \(-8,\ -5,\ -1\). Then 0, then 3.

\(-8,\ -5,\ -1,\ 0,\ 3\)

Scoring: 2 points for a fully correct order; 1 point if exactly one number is out of place.

Question 6: Absolute value (2 points)

a) \(-17\) is 17 units from 0: \(|-17| = 17\).

b) The number \(-12\) is 12 units from 0: \(-12\).

Scoring: 1 point for each correct answer.

Question 7: Winter temperatures (3 points)

a) The least temperature is \(-22\): Fairbanks.

b) \(-22 < -7\) (or \(-7 > -22\)).

c) The distances from 0 are \(|-22| = 22\), \(|-7| = 7\), and \(|68| = 68\). The smallest is 7: Chicago.

Scoring: 1 point for each part.

Question 8: Order rational numbers (2 points)

Write \(\frac{1}{2} = 0.5\). The negative numbers are \(-2.5 < -1.25\). The positive numbers are \(0.3 < 0.5\).

\(-2.5,\ -1.25,\ 0.3,\ \frac{1}{2}\)

Scoring: 1 point for converting or comparing correctly; 1 point for the final order.

Question 9: Elevation (2 points)

a) \(|-150| = 150\) and \(|90| = 90\). The submarine is farther from sea level.

b) \(-150 < 90\) (or \(90 > -150\)).

Scoring: 1 point for each part.

See every chapter on the Grade 6 math page.