Free Printable Chapter 9-10 OST Review (7th grade)

Worksheets

Chapter 9-10 OST Review (7th grade)

Total questions: 41

Worksheet time: 1hrs 15mins

Name

Class

Date

A right square pyramid is sliced through its apex and perpendicular to its base. What is the shape of the cross section that is the result of this action?

a square

an isosceles triangle

an isosceles trapezoid

a non-isosceles trapezoid

A container in the shape of a rectangular prism holds 651.168 cubic inches when completely filled with water. The container has a height of 12.6 inches and a width of 15.2 inches. What is the length?

3.6 inches

4.2 inches

3.4 inches

2.8 inches

Select all of the solids that could be sliced horizontally or vertically to create a triangular cross section.

A cube has a surface area of 1,710 square inches. What is the area, in square inches, of one face of the cube?

255 sq in

275 sq in

285 sq in

295 sq in

A three-dimensional figure is shown. Select all of the shapes of the cross sections that could result in slicing the figure as described: Parallel to the base

square

triangle

trapezoid

both triangle and trapezoid

A three-dimensional figure is shown. Select all of the shapes of the cross sections that could result in slicing the figure as described: Perpendicular to the base, NOT through the apex

square

triangle

trapezoid

both triangle and trapezoid

A three-dimensional figure is shown. Select all of the shapes of the cross sections that could result in slicing the figure as described: Perpendicular to the base through the apex

square

triangle

trapezoid

both triangle and trapezoid

A right triangular prism is shown. What is the volume, in cubic inches, of the prism? (only write the number...don't label)

(a)

A two-dimensional cross section is created by slicing a pyramid parallel to its base. Which statement best describes the cross section?

the same shape as the base but a larger area

the same shape as the base but a smaller area

it will always be an isosceles triangle

it will always be either an isosceles triangle or a trapezoid

10.

A right pentagonal pyramid is shown. Select ALL of the two-dimensional shapes that can result from slicing the right pentagonal pyramid with a plane parallel or perpendicular to its base.

triangle

rectangle

pentagon

trapezoid

parallelogram

11.

A tank in the shape of a right rectangular prism is shown. One cubic meter is equivalent to 2,000 liters. How many liters of water are needed to completely fill the tank?

188

264

296

308

12.

A right triangular prism, with measurement in inches is shown. What is the volume, in cubic inches of the right triangular prims? (only write the number...NO label)

(a)

13.

A right square pyramid is shown. A plane intersects the pyramid through the apex and is perpendicular to the base. What is the shape of the cross section?

square

right triangle

isosceles triangle

trapezoid and isosceles triangle

14.

A right square pyramid is shown. Select ALL of the figures that could result from slicing the pyramid with a plane.

pentagon

square

triangle

hexagon

trapezoid

15.

A circle is shown. What is the circumference of the circle, to the nearest tenth of a centimeter? *use 3.14 for pi (don't label, just write the number)

(a)

16.

A circle is shown. What is the area of the circle, to the nearest tenth of a centimeter? *use 3.14 for pi (don't label, just write the number)

(a)

17.

The circumference of a circle is 43.96 inches. What is the diameter of the circle, to the nearest inch? (don't label, just write the number) *use 3.14 for pi.

(a)

18.

The circumference of a circle is 75.36 inches. What is the radius of the circle, to the nearest inch? (don't label, just write the number) *use 3.14 for pi

(a)

19.

A triangle has a side length of 4 inches and a side length of 12 inches. Which lengths (select all that apply) could be the third length of the triangle?

7 inches

9 inches

17 inches

15 inches

10 inches

20.

A triangle has a side length of 5 inches and a side length of 10 inches. Which lengths (select all that apply) could be the third length of the triangle?

14 inches

4 inches

16 inches

3 inches

7 inches

21.

A figure is shown, where lines CE and FD intersect at point B. Angle ABC is complimentary to angle DBC. What is the measure, in degrees, of angle FBE? (number only - don't label)

(a)

22.

The radius of a circle is 30 centimeters. What is the circumference, in centimeters, of the circle? Round your answer to the nearest tenth. (only write the number, don't label) *use 3.14 for pi

(a)

23.

A circle is shown.

What is the circumference of the circle, to the nearest tenth of a centimeter? *Numbers only

(a)

24.

The circumference of a circle is 18.84 inches.

What is the diameter of the circle, to the nearest inch? *number only

(a)

25.

A triangle has a side length of $\frac{3}{4}$ inch and a side length of 3 inches.

What could be the length, in inches of the third side of the triangle?

$1\frac{3}{4}$ inches

$2$ inches

$3\frac{1}{2}$ inches

$4\frac{1}{4}$ inches

26.

A circle has a diameter of 7.2 inches.

What is the circumference of the circle, rounded to the nearest tenth of an inch? *number only

(a)

27.

A figure is shown, where lines CE and FD intersect at point B.

Angle ABC is complementary to angle DBC.

What is the measure, in degrees, of angle EBF? *number only

(a)

28.

Which expression represents the area of a circle with a radius of 7 units?

$7\cdot2\cdot\pi$

$7\cdot7\cdot\pi$

$7\cdot\pi\cdot\pi$

$3.5\cdot3.5\cdot\pi$

29.

The lengths of two sides of a triangle are 4 inches and 7 inches.

What is a possible length, in inches of the third size?

2.75

30.

The radius of a circle is 20 centimeters.

What is the circumference, in centimeters, of the circle? Round your answer to the nearest tenth.

*number only

(a)

31.

A figure is shown.

What is the value, in degrees, of x? *number only

(a)

32.

The circumference of a circle is 50.24 centimeters.

What is the radius, rounded to the nearest tenth of a centimeter, of the circle? *number only

(a)

33.

A regular hexagon PQRSTU is shown. The center of the hexagon is O.

What is $\angle NOQ$ ?

$20\degree$

$30\degree$

$45\degree$

$60\degree$

34.

Which statement describes how to use the circumference of a circle to find its area?

divide the circumference by 2

multiply the circumference by the radius

divide the circumference by $\pi$ and then divide by 2

divide the circumference by 2 and then multiply by the radius

35.

A circle has a diameter of 12 units. What is the circumference, in units, of the circle?

$6\pi$

$12\pi$

$36\pi$

$144\pi$

36.

A figure containing the line CE is shown.

What is the value of x? *number only

(a)

37.

A hexagonal prism is shown.

Select the shape that is formed by each cross section.

Cross section through points C, D, and H.

Hexagon

Rectangle

38.

A hexagonal prism is shown.

Select the shape that is formed by each cross section.

Cross section through points A, I, and J.

Hexagon

Rectangle

39.

A hexagonal prism is shown.

Select the shape that is formed by each cross section.

Cross section through points A, B, E, and J.

Hexagon

Rectangle

40.

A plane slices a right rectangular prism, with dimensions in cm, as shown.

Which shape represents the cross section?

41.

A right square pyramid measured in cm is shown.

What is the total surface area of the square pyramid?

36 square centimeters

48 square centimeters

60 square centimeters

96 square centimeters

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Chapter 9-10 OST Review (7th grade)

Total questions: 41

Worksheet time: 1hrs 15mins

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