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

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

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

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.

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

All Grade 5 chapters: Grade 5 math.

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