The Coordinate Plane: Grade 6 Math Test – PDF Download

Question 1: Name the quadrant (2 points)

Name the quadrant of each point.

1. \((-8, 3)\) (1 point)
2. \((5, -6)\) (1 point)

Question 2: Plot points (2 points)

Plot and label each point on the grid.

1. \(A(3, -4)\) (1 point)
2. \(B(-5, -2)\) (1 point)

Question 3: Read ordered pairs (3 points)

Write the ordered pair for each labeled point.

1. Point A (1 point)
2. Point B (1 point)
3. Point C (1 point)

Question 4: Reflect a point (2 points)

The point \((-3, 7)\) is reflected.

1. Write the coordinates of its reflection across the x-axis. (1 point)
2. Write the coordinates of its reflection across the y-axis. (1 point)

Question 5: Distance between points (2 points)

Find the distance between each pair of points.

1. \((-5, -2)\) and \((-5, 6)\) (1 point)
2. \((9, 4)\) and \((-3, 4)\) (1 point)

Question 6: Rectangle on the plane (3 points)

Three vertices of rectangle \(ABCD\) are \(A(-4, -3)\), \(B(3, -3)\), and \(C(3, 2)\).

1. Find the coordinates of \(D\). (1 point)
2. Find the lengths of \(AB\) and \(BC\). (1 point)
3. Find the perimeter of the rectangle. (1 point)

Question 7: Walking route (3 points)

On a city map, each unit is one block. Ethan walks from home \(H(-6, -4)\) straight north to school \(S(-6, 5)\), and then straight east to the park \(P(3, 5)\).

1. Find the distance from home to school. (1 point)
2. Find the distance from school to the park. (1 point)
3. Find the total distance Ethan walks. (1 point)

Question 8: Find the error (3 points)

Jamal says the distance between \(A(-3, 2)\) and \(B(5, 2)\) is 2 units, because \(5 – 3 = 2\). Explain his mistake and find the correct distance.

See every chapter on the Grade 6 math page.