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

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


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

Question 1 – Name the points [3 pts]

  • \(P=(1,6)\)
  • \(Q=(5,2)\)
  • \(R=(7,5)\)
012345678012345678xyP (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.

012345678012345678xyABCD
Rectangle ABCD.

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

Question 3 – Distances on grid lines [2 pts]

  1. \(9-0=9\) units
  2. \(8-2=6\) units

Scoring: 1 point for each distance.

Question 4 – Points on the axes [3 pts]

  1. \((3,0)\), because its y-coordinate is 0
  2. \((0,3)\), because its x-coordinate is 0
  3. \((0,0)\)

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]

  1. After 2 hours Liam has ridden 20 miles.
  2. 30 miles
  3. He rides 10 miles each hour, and \(60\div10=6\), so 6 hours.
01234567010203040506070HoursMilesABCDE
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]

  1. \(8-2=6\) blocks
  2. \(7-3=4\) blocks
  3. \(6+4=10\) blocks

Scoring: 1 point per part.

Total

20 points

All Grade 5 chapters: Grade 5 math.

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