This grade 5 coordinate worksheet answer key solves all 22 problems of the the coordinate plane worksheet step by step.
This answer key shows a complete solution for each of the 22 coordinate plane problems. Compare the order of every ordered pair and the way each distance was found, then correct your work step by step.
Grade 5 Coordinate Worksheet Answer Key: problems 1–5
Problem 1: Axes and origin
(a) The horizontal axis is the x-axis.
(b) The vertical axis is the y-axis.
(c) The axes cross at the origin, \((0, 0)\).
(a) x-axis. (b) y-axis. (c) \((0, 0)\).
Problem 2: Which number is which
The first number is the x-coordinate and tells the distance right. The second number is the y-coordinate and tells the distance up.
Right: 6. Up: 3.
Problem 3: Read the points
Count right first, then up for each point.
A: 2 right, 5 up gives \((2, 5)\). B: 7 right, 1 up gives \((7, 1)\). C: 4 right, 4 up gives \((4, 4)\). D: 0 right, 6 up gives \((0, 6)\), on the y-axis.
A \((2, 5)\), B \((7, 1)\), C \((4, 4)\), D \((0, 6)\).
Problem 4: Plot four points
E: 3 right, 2 up. F: 5 right, 6 up. G: 8 right, 0 up, so it sits on the x-axis. H: 0 right, 4 up, so it sits on the y-axis.
See the plotted points. G is on the x-axis and H is on the y-axis.
Problem 5: Points on the axes
A point is on the x-axis when its y-coordinate is 0: \((5, 0)\) and \((0, 0)\).
A point is on the y-axis when its x-coordinate is 0: \((0, 5)\) and \((0, 0)\). The point \((3, 3)\) is on neither axis.
x-axis: \((5, 0)\) and \((0, 0)\). y-axis: \((0, 5)\) and \((0, 0)\).
Grade 5 Coordinate Worksheet Answer Key: problems 6–10
Problem 6: Right and up
Right 4 means the x-coordinate is 4. Up 7 means the y-coordinate is 7.
\((4, 7)\)
Problem 7: Same numbers, different points
P is \((9, 2)\) and Q is \((2, 9)\).
The x-coordinates differ (9 and 2) and the y-coordinates differ (2 and 9), so the points are different.
P \((9, 2)\), Q \((2, 9)\). They are not the same point.
Problem 8: Distance in a row
Both points have y-coordinate 3, so they lie on a horizontal line. Subtract the x-coordinates: \(7 – 2 = 5\).
5 units
Problem 9: Distance in a column
Both points have x-coordinate 4, so they lie on a vertical line. Subtract the y-coordinates: \(8 – 1 = 7\).
7 units
Problem 10: Find the missing number
(a) On the y-axis the x-coordinate is 0, so K is \((0, 7)\).
(b) On the x-axis the y-coordinate is 0, so M is \((6, 0)\).
(a) \((0, 7)\). (b) \((6, 0)\).
Grade 5 Coordinate Worksheet Answer Key: problems 11–15
Problem 11: A rectangle on the grid
The shape is a rectangle. The bottom side runs from x = 1 to x = 6: \(6 – 1 = 5\) units. The right side runs from y = 1 to y = 4: \(4 – 1 = 3\) units.
Rectangle; longest side 5 units.
Problem 12: The fourth corner
The fourth corner is on the same vertical line as \((2, 2)\) (x = 2) and the same horizontal line as \((8, 5)\) (y = 5).
\((2, 5)\)
Problem 13: Counting by twos
Q is above 6 on the x-axis and level with 10 on the y-axis. R is above 10 and level with 4.
Q \((6, 10)\), R \((10, 4)\).
Problem 14: Blocks on a map
Library \((2, 3)\) and Park \((7, 3)\) share y = 3: \(7 – 2 = 5\) blocks.
Park \((7, 3)\) and School \((7, 6)\) share x = 7: \(6 – 3 = 3\) blocks.
Library to Park: 5 blocks. Park to School: 3 blocks.
Problem 15: Plant growth data
Write week first and height second: \((1, 2)\), \((2, 4)\), \((3, 5)\), \((4, 7)\).
Points \((1, 2)\), \((2, 4)\), \((3, 5)\), \((4, 7)\).
Grade 5 Coordinate Worksheet Answer Key: problems 16–20
Problem 16: Meaning of a point
The x-coordinate 4 is gallons and the y-coordinate 100 is miles: 4 gallons of gas took the car 100 miles.
For 1 gallon: \(100 : 4 = 25\) miles.
4 gallons took the car 100 miles; 25 miles on 1 gallon.
Problem 17: Muffin batches
Cups: 3, 6, 9, 12. Ordered pairs: \((1, 3)\), \((2, 6)\), \((3, 9)\), \((4, 12)\).
Points \((1, 3)\), \((2, 6)\), \((3, 9)\), \((4, 12)\).
Problem 18: Spot the mistake
Jamal switched the numbers. The x-coordinate (right) must come first, so 7 goes first.
Correct pair: \((7, 4)\).
Problem 19: Ethan's walk
Home to Store: \(7 – 2 = 5\) blocks (same x). Store to Park: \(6 – 1 = 5\) blocks (same y).
Total: \(5 + 5 = 10\).
10 blocks
Problem 20: Farmers market loop
A to B: \(5 – 1 = 4\). B to C: \(6 – 1 = 5\). C to D: \(5 – 1 = 4\). D to A: \(6 – 1 = 5\).
Total: \(4 + 5 + 4 + 5 = 18\).
18 blocks
Grade 5 Coordinate Worksheet Answer Key: problems 21–22
Problem 21: Diego's savings
Dollars: \(25 – 10 = 15\). Weeks: \(5 – 2 = 3\).
$15 more, after 3 weeks.
Problem 22: Hiking trail
Leg 1: \(3 – 0 = 3\) miles. Leg 2: \(4 – 0 = 4\) miles. Leg 3: \(8 – 3 = 5\) miles.
Total: \(3 + 4 + 5 = 12\) miles. The end point has y-coordinate 4, so it is 4 miles north of the start.
12 miles; 4 miles north.
How to use this grade 5 coordinate worksheet answer key
Read this grade 5 coordinate worksheet answer key after trying each problem yourself, and redo any problem you missed.
See every chapter on the Grade 5 math page.