7th Grade Distance & Midpoint Math Challenges

1. Sarah and Tom are standing at points A(2, 3) and B(8, 7) on a coordinate plane. What is the distance between them?

• 5√2

• 4√5

• 3√10

• 2√13

Tags

CCSS.HSG.GPE.B.7

2. A park is located at point P(4, 5) and a playground is at point Q(10, 15). Find the midpoint between the park and the playground.

• (7, 10)

• (6, 9)

• (8, 12)

• (5, 7)

Tags

CCSS.HSG.GPE.B.6

3. A delivery truck starts at location X(1, 1) and needs to reach location Y(4, 5). How far does the truck need to travel?

• 5

• 3

• 10

• 7

Tags

CCSS.HSG.GPE.B.7

4. Two friends, Alice and Bob, are at points C(3, 4) and D(7, 8). What is the distance between Alice and Bob?

• 4

• 5√2

• 3√3

• 2√5

Tags

CCSS.HSG.GPE.B.7

5. The midpoint of a line segment connects two stores located at E(2, 2) and F(6, 10). What is the midpoint of this segment?

• (4, 6)

• (4, 4)

• (5, 8)

• (3, 6)

Tags

CCSS.HSG.GPE.B.6

6. A cyclist travels from point G(0, 0) to point H(3, 4). Calculate the distance the cyclist travels.

• 4

• 6

• 5

• 7

Tags

CCSS.HSG.GPE.B.7

7. A school is located at point I(5, 5) and a library is at point J(15, 5). What is the distance between the school and the library?

• 10

• 20

• 15

• 5

Tags

CCSS.HSG.GPE.B.7

8. Find the midpoint between two bus stops located at K(1, 2) and L(7, 10).

• (3, 5)

• (4, 6)

• (6, 7)

• (5, 8)

Tags

CCSS.HSG.GPE.B.6

9. A runner starts at point M(2, 3) and finishes at point N(10, 11). How far did the runner go?

• 6√2

• 12√2

• 8√2

• 10

Tags

CCSS.HSG.GPE.B.7

10. The midpoint between two landmarks at points O(3, 7) and P(9, 1) is needed for a map. What is the midpoint?

• (6, 4)

• (7, 3)

• (4, 6)

• (5, 5)

Tags

CCSS.HSG.GPE.B.6