5th Grade Graphing on the Coordinate Plane Test with Point Values (PDF)

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


This 45-minute test covers ordered pairs, plotting in the first quadrant, distances along grid lines, and real-world graphs (5.G.A.1 and 5.G.A.2). There are 8 questions worth 20 points. Write the x-coordinate first.

About this test
  • Grade: Grade 5
  • Chapter: Graphing on the Coordinate Plane
  • Standards: 5.G.A.1, 5.G.A.2
  • Time: 45 minutes
  • Total: 20 points

Question 1 – Name the points [3 pts]

Write the ordered pair for each point.

012345678012345678xyPQR
Points P, Q and R.

Question 2 – Complete the rectangle [2 pts]

Solve. Points \(A(2,4)\), \(B(6,4)\) and \(C(6,7)\) are three vertices of a rectangle. Plot the points on the grid. Find the ordered pair for the fourth vertex, D, and find the area of the rectangle.

012345678012345678xy
A blank grid for plotting.

Question 3 – Distances on grid lines [2 pts]

Answer each part.

  1. Find the distance between \((0,5)\) and \((9,5)\). (1 point)
  2. Find the distance between \((4,2)\) and \((4,8)\). (1 point)

Question 4 – Points on the axes [3 pts]

Look at the points \((3,0)\), \((0,3)\) and \((3,3)\).

  1. Which point is on the x-axis? (1 point)
  2. Which point is on the y-axis? (1 point)
  3. Write the ordered pair for the origin. (1 point)

Question 5 – Moves on the grid [2 pts]

Solve. Maya starts at \((1,1)\). She moves 5 units right, then 3 units up, then 2 units left. What ordered pair does she end at?

Question 6 – Bike ride graph [3 pts]

Solve. The graph shows how far Liam rides his bike.

01234501020304050HoursMilesABCD
Miles ridden after each hour.
  1. What does the point \((2,20)\) mean? (1 point)
  2. How many miles has Liam ridden after 3 hours? (1 point)
  3. If he keeps the same pattern, how many hours will it take to ride 60 miles? (1 point)

Question 7 – Table to ordered pairs [2 pts]

Solve. A bag holds 5 apples. Write ordered pairs (bags, apples) for 1, 2, 3 and 4 bags. Then write the ordered pair for 6 bags.

Question 8 – Walking in town [3 pts]

Solve. On a town map the park is at \((3,2)\), the library is at \((3,8)\) and the pool is at \((7,8)\). Each unit is one block.

  1. How far is the park from the library? (1 point)
  2. How far is the library from the pool? (1 point)
  3. How far is the walk from the park to the library to the pool? (1 point)

View solution

All Grade 5 chapters: Grade 5 math.

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