5th Grade Graphing on the Coordinate Plane Worksheet Solutions (PDF)

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

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This grade 5 coordinate plane 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.

Each answer shows how to move from the origin, includes a graph where one helps, and gives the final ordered pair or measurement. Check that your x-coordinate comes first every time.

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

Grade 5 coordinate plane answers: exercises 1 to 10

Exercise 1 – Read the points

For each point, read across to the x-axis, then up to the y-axis.

$A=(2,5)$
$B=(6,1)$
$C=(0,4)$ on the y-axis
$D=(7,7)$

The same points with their ordered pairs.

A (2, 5), B (6, 1), C (0, 4), D (7, 7)

Exercise 2 – Plot a point

Start at the origin. Move 3 units right, then 5 units up.

Point G is 3 right and 5 up.

3 units right and 5 units up

Exercise 3 – Which number is the x-coordinate

The first number is the x-coordinate and the second is the y-coordinate.

x-coordinate 7, y-coordinate 2

Exercise 4 – Point on the x-axis

A point on the x-axis has y-coordinate 0.

$P=(5,0)$

Exercise 5 – Point on the y-axis

A point on the y-axis has x-coordinate 0.

$Q=(0,6)$

Exercise 6 – Moving from a point

Moving right adds to the x-coordinate: $2+4=6$, so the point is $(6,3)$.

Moving up adds to the y-coordinate: $3+2=5$.

$(6,5)$

Exercise 7 – Distance on a horizontal line

The y-coordinates match, so subtract the x-coordinates.

$7-1=6$.

6 units

Exercise 8 – Distance on a vertical line

The x-coordinates match, so subtract the y-coordinates.

$9-2=7$.

7 units

Exercise 9 – Plot a rectangle

The sides are 3 units across and 2 units up, with four right angles.

The rectangle is 3 units wide and 2 units tall.

Perimeter: $3+2+3+2=10$.

A rectangle with perimeter 10 units

Exercise 10 – Same point or not

$(5,2)$ is 5 right and 2 up. $(2,5)$ is 2 right and 5 up. They are in different places.

No, they are different points.

Exercises 11 and up

Exercise 11 – Vertices of a triangle

Read each vertex: $P=(1,1)$, $Q=(7,1)$, $R=(4,5)$.

P and Q have the same y-coordinate, so $PQ=7-1=6$.

P (1, 1), Q (7, 1), R (4, 5); PQ = 6 units

Exercise 12 – School map

(a) Same y-coordinate: $6-2=4$ blocks.

(b) Same x-coordinate: $7-3=4$ blocks.

The route is 4 blocks east and 4 blocks north.

(a) 4 blocks; (b) 4 blocks; (c) 8 blocks

Exercise 13 – Table to ordered pairs

Pair each number of packs with its number of cookies.

$(1,6), (2,12), (3,18), (4,24)$

Exercise 14 – Dollars and hours

(a) The first number is hours and the second is dollars. She earns $24 for 3 hours.

(b) The point at 4 hours is $(4,32)$.

(a) 3 hours, $24; (b) $32

Exercise 15 – Plant growth

(a) At week 3 the point is $(3,5)$, so the height is 5 inches.

(b) Week 1: 2 inches. Week 4: 6 inches. $6-2=4$.

(a) 5 inches; (b) 4 inches

Exercise 16 – Road trip

(a) The point at 3 hours is $(3,180)$: 180 miles.

(b) $180\div3=60$ miles per hour.

(a) 180 miles; (b) 60 mph; (c) 300 miles

Exercise 17 – Lemonade stand

(a) $(1,2), (2,4), (3,6), (4,8)$.

(b) Dollars = cups $\times2$, so 6 cups earn 12 dollars: $(6,12)$.

(b) (6, 12); (c) $18

Exercise 18 – Treasure map

Chest: $(4,6)$.

Cave: 3 units up from the chest gives $(4,9)$.

Boat: 5 units right of the cave gives $(9,9)$.

Chest (4, 6), cave (4, 9), boat (9, 9)

Exercise 19 – Walk to school

House to Mei’s: same x-coordinate, $8-1=7$ blocks.

Mei’s to school: same y-coordinate, $5-2=3$ blocks.

Total: $7+3=10$.

10 blocks

Exercise 20 – Saving money

(a) Dollars = week $\times5$: $(1,5), (2,10), (3,15), (4,20)$.

(b) $10\times5=50$, so $(10,50)$.

(b) (10, 50); (c) week 10

Key facts behind this grade 5 coordinate plane 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 answers

Cover each solution, solve the exercise again, then uncover it and compare every line. If your answer differs, find the first step that changed and redo the exercise from there.

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