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Mathletes Quiz 7 - Geometric Reasoning (L-Z)

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

What quadrant is the point (3.5, -1) located in?

a)

I

b)

II

c)

III

d)

IV

2.

What is the ordered pair for the reflection of point P (-2, -2.5) when it is reflected across the y-axis?

a)

(2, -2.5)

b)

(-2, 2.5)

c)

(2, 2.5)

d)

(-2, -2.5)

3.

Write the ordered pair that is located in Quadrant II.

a)

(-2, 5)

b)

(3, 4)

c)

(5, -6)

d)

(7, 8)

4.

What is the ordered pair for the reflection of Point A (-3, 4) when it is reflected over the x-axis?

a)

(-3, -4)

b)

(-3, 4)

c)

(3, -4)

d)

(3, 4)

5.

Each unit on a coordinate plane is equivalent to 0.5 miles. Alex’s house is located at (-5, -4) and the library is located at (-5, 3). How far in miles is Alex’s house from the library?

a)

3.5 miles

b)

7 miles

c)

35 miles

d)

70 miles

6.

Mia is riding her bike from her house to the park. If the park is located at (3, -5) and Mia lives 7 units away from the park, what is a possible coordinate of Mia’s house?

a)

A possible coordinate of Mia’s house is (3, 7).

b)

A possible coordinate of Mia’s house is (10, 0).

c)

A possible coordinate of Mia’s house is (0, -12).

d)

A possible coordinate of Mia’s house is (3, 2).

7.

Shahala and Paul are hiking by themselves in Hillsborough River State Park. Shahala is located at (2, -12) and Paul is located at (-5, -12). If each unit is equivalent to 2 miles, how many miles apart are Shahala and Paul?

a)

The distance between Shahala and Paul is 14 miles.

b)

The distance between Shahala and Paul is 7 miles.

c)

The distance between Shahala and Paul is 28 miles.

d)

The distance between Shahala and Paul is 10 miles.

8.

Use the coordinate grid below to find the distance between points A and B.

a)

5 units

b)

7 units

c)

15 units

d)

20 units

9.

A square has an area of 49 units. One vertex of the square is located at (-2, 5). Which of the following could be the coordinates of another possible vertex?

a)

(-2, 2)

b)

(-2, -2)

c)

(-9, -5)

d)

(-2, -12)

10.

A square has a perimeter of 20 units. One vertex of the square is located at (-3, -3). Find the coordinates of another possible vertex.

a)

(2, -3)

b)

(8, 3)

c)

(2, 2)

d)

(0, 0)

11.

Three of the vertices of a rectangle are located at (5, 2), (8, 2), (5, -5). Find the coordinates of the 4th vertex and then find the area of the rectangle.

a)

(8, -5), Area: 21 un2

b)

(8, -5), Area: 15 un2

c)

(5, -2), Area: 21 un2

d)

(5, -2), Area: 15 un2

12.

The vertices of a rectangle are located at (-7, -2), (-3, -2), (-7, -5), (-3, -5). Find the perimeter of the rectangle.

a)

8 units

b)

10 units

c)

12 units

d)

14 units

13.

Find the area of the triangle:

a)

356.5 cm²

b)

448.5 cm²

c)

713 cm²

d)

897 cm²

14.

Which formula can be used to find the area of a triangle?

a)

Area = 12 base × height\frac{1}{2}\ base\ \times\ height

b)

Area = side2

c)

Area = length x width

d)

Area = base x height

15.

Find the area of the figure below.

a)

76 in²

b)

315 in²

c)

399 in²

d)

630 in²

16.

Tyler is making space in his backyard to plant a garden. The shape of the garden is shown below. What is the area of his garden?

a)

84 square feet

b)

75 square feet

c)

124.95 square feet

d)

429.97 square feet

17.

Jocelyn is painting a mural in her school’s lunchroom on a space shaped like the one below. How many square feet is the area that she is painting?

a)

100.8 square feet

b)

121.5 square feet

c)

133.2 square feet

d)

178.4 square feet

18.

Mary has 288 cubes, with dimensions in centimeters (cm), like the one shown. She uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. What is a possible set of dimensions, in centimeters, of the larger rectangular prism?

a)

18\frac{1}{8}

b)

2, 3, 6

c)

2, 6, 12

d)

36

19.

Find the volume of a right rectangular prism that has a length of 3143\frac{1}{4} inches, a width of 6 inches, and a height of 8128\frac{1}{2} inches.

a)

165 34\frac{3}{4} inches^3

b)

165.75 inches^3

c)

Both A and B

d)

None of the above

20.

What is the width of a rectangular prism that has a volume of 235.98 cm³, a length of 9 cm, and a height of 4.6 cm?

a)

5.7 cm

b)

6.7 cm

c)

7.7 cm

d)

8.7 cm

21.

Jonathan is wrapping a gift shaped like a rectangular prism. The net of the cardboard box is shown below. How many square inches of wrapping paper will Jonathan need to cover the entire box?

a)

167.8 square inches

b)

314.25 square inches

c)

337.5 square inches

d)

525 square inches

22.

Find the surface area of the following figure.

a)

75 cm²

b)

142.75 cm²

c)

288.25 cm²

d)

75,000 cm²