6th Grade Integers and Rational Numbers on the Number Line Test Solutions and Scoring (PDF)

6th Grade math test solutions: Integers and Rational Numbers on the Number Line – Maths PDF

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This integers rationals test answers for 6th Grade covers integers and rational numbers on the number line (Common Core 6.NS.C.5, 6.NS.C.6a, 6.NS.C.6c), with a free PDF to print.

Use this key to score the integers and rational numbers test out of 20 points. Each solution is fully worked, and the scoring line explains how to award each point and partial credit.

Grade 6 · Common Core State Standards: 6.NS.C.5, 6.NS.C.6a, 6.NS.C.6c

Integers rationals test answers: worked solutions

Question 1 – Integers in context [2 pts]

(a) \(-300\). (b) \(+15\) (or \(15\)).

Scoring: 1 point for each integer.

Question 2 – Opposites [2 pts]

(a) \(15\). (b) \(-\frac{2}{5}\). (c) The opposite of \(-6\) is \(6\), so \(-(-6) = 6\).

Scoring: 1 point for (a) and (b) together; 1 point for (c).

Question 3 – Name the points [2 pts]

M is \(-4\), N is \(-1\), and P is \(5\).

Labeled values.

Scoring: 1 point for two correct; 2 points for all three.

Question 4 – Plot rational numbers [2 pts]

\(-2.5\) is halfway between \(-3\) and \(-2\); \(1\frac{1}{2} = 1.5\).

Plotted points.

Scoring: 1 point for each correctly placed point.

Question 5 – Vertical number line [2 pts]

H is \(6^{\circ}\) and K is about \(-3^{\circ}\).

Scoring: 1 point for H; 1 point for K (accept -3 or between -2 and -4).

Question 6 – Meaning of zero [2 pts]

Gain: \(+7\). Loss: \(-4\).

0 yards means no gain or loss.

Scoring: 1 point for the integers; 1 point for the meaning of 0.

Question 7 – Which is farther left [2 pts]

On a number line, numbers farther left are less. \(-9\) is 9 units left of 0 and \(-4\) is 4 units left of 0.

\(-9\) is farther left.

Scoring: 1 point for the answer; 1 point for the explanation.

Question 8 – Opposites on a line [3 pts]

(a) R is \(-5.5\) and S is \(5.5\).

(b) They are opposites, each 5.5 units from 0.

Scoring: 1 point for each part.

Question 9 – Debt and savings [3 pts]

Priya: \(-12\). Noah: \(+12\).

They are opposites, 12 units from 0.

Priya at -12, Noah at 12.

Scoring: 1 point for the integers; 1 point for the relationship; 1 point for the plot.

Total score

Total

20 points

Key facts behind this integers rationals test answers

Key facts

Positive numbers are above zero or to the right; negative numbers are below zero or to the left.
Opposites are the same distance from 0 on opposite sides.
The opposite of the opposite of a number is the number itself.
Integers are whole numbers and their opposites; rational numbers include fractions and decimals.
A vertical number line, like a thermometer, puts positive numbers on top.

How to use this integers rationals test answers

Score your test with the point values shown for each question. Then read the worked solution of every question where you lost points and note the method to review.

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