5th Grade Graphing on the Coordinate Plane Test Solutions and Scoring (PDF)

5th Grade math test solutions: Graphing on the Coordinate Plane – Maths PDF

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This grade 5 coordinate plane test answers for 5th Grade covers graphing on the coordinate plane (Common Core 5.G.A.1, 5.G.A.2), with a free PDF to print.

Use this key to score the test out of 20 points. Each answer shows the work and a scoring guide. Reversed coordinates cost the point for that ordered pair, but later parts that use them can still earn credit.

Grade 5 · Common Core State Standards: 5.G.A.1, 5.G.A.2

Grade 5 coordinate plane test answers: worked solutions

Question 1 – Name the points [3 pts]

\(P=(1,6)\)
\(Q=(5,2)\)
\(R=(7,5)\)

The points with their ordered pairs.

Scoring: 1 point for each correct ordered pair. Subtract the point if the coordinates are reversed.

Question 2 – Complete the rectangle [2 pts]

D has the x-coordinate of A and the y-coordinate of C, so \(D=(2,7)\).

Width: \(6-2=4\). Height: \(7-4=3\). Area: \(4\times3=12\) square units.

Rectangle ABCD.

Scoring: 1 point for D = (2, 7), 1 point for area 12 square units.

Question 3 – Distances on grid lines [2 pts]

\(9-0=9\) units
\(8-2=6\) units

Scoring: 1 point for each distance.

Question 4 – Points on the axes [3 pts]

\((3,0)\), because its y-coordinate is 0
\((0,3)\), because its x-coordinate is 0
\((0,0)\)

Scoring: 1 point per part.

Question 5 – Moves on the grid [2 pts]

Right 5: \((6,1)\). Up 3: \((6,4)\). Left 2: \((4,4)\).

\((4,4)\)

Scoring: 1 point for correct moves, 1 point for the final ordered pair.

Question 6 – Bike ride graph [3 pts]

After 2 hours Liam has ridden 20 miles.
30 miles
He rides 10 miles each hour, and \(60\div10=6\), so 6 hours.

Continuing the pattern gives \((6,60)\).

Scoring: 1 point per part.

Question 7 – Table to ordered pairs [2 pts]

\((1,5), (2,10), (3,15), (4,20)\).

For 6 bags: \(6\times5=30\), so \((6,30)\).

Scoring: 1 point for the four pairs, 1 point for (6, 30).

Question 8 – Walking in town [3 pts]

\(8-2=6\) blocks
\(7-3=4\) blocks
\(6+4=10\) blocks

Scoring: 1 point per part.

Total score

Total

20 points

Key facts behind this grade 5 coordinate plane test answers

Key facts

The x-axis is horizontal and the y-axis is vertical; they meet at the origin (0, 0).
An ordered pair (x, y) gives the move right first, then up.
(2, 5) and (5, 2) are two different points.
Points with the same x-coordinate or the same y-coordinate lie on a straight line, so subtract to find the distance.
Axis labels explain what each coordinate means in a real-world graph.

How to use this grade 5 coordinate plane 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.

All Grade 5 chapters: Grade 5 math.

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