A basketball has an approximate volume of 268 cm³. What is the diameter of the basketball? Use 3.14 for π, and round your answer to the nearest whole cm.

The diameter is approximately 16 cm.

The diameter is approximately 8 cm.

The diameter is approximately 12 cm.

The diameter is approximately 10 cm.

Karen can fit 40 vinyl records of diameter 2 in. in the cylindrical container shown. What is the thickness of each record if the volume of the container is 20π?

The thickness of each record is 0.5 in.

The thickness of each record is 0.25 in.

The thickness of each record is 0.1 in.

The thickness of each record is 1 in.

The steps to construct the interior point of ∠CAB for the angle bisector are given. Which step is not valid?

Place the compass on C and draw an arc that intersect AB.

With one point of the compass on A, draw an arc that intersects both sides of the angle at B and C.

Place the compass on B and draw an arc.

Draw a ray through point A and the intersection of the arcs drawn in steps B and C.

35. Is point (–2, 5) on the circle with radius 3 and center at (–2, 2)? Complete the sentences to explain. An equation for the circle is (x + _____)² + (y + _____)² = _____. Substitute the point (_____, _____) into the expression on the left side to get (_____)² + (_____)² = _____. Since this value _____ equal to the right side, the point (–2, 5) _____ on the circle.

An equation for the circle is (x + 2)² + (y - 2)² = 9. Substitute the point (–2, 5) into the expression on the left side to get (–2 + 2)² + (5 - 2)² = 0² + 3² = 9. Since this value is equal to the right side, the point (–2, 5) is on the circle.

An equation for the circle is (x - 2)² + (y + 2)² = 9. Substitute the point (–2, 5) into the expression on the left side to get (–2 - 2)² + (5 + 2)² = (–4)² + 7² = 16 + 49 = 65. Since this value is not equal to the right side, the point (–2, 5) is not on the circle.

An equation for the circle is (x + 2)² + (y + 2)² = 9. Substitute the point (–2, 5) into the expression on the left side to get (–2 + 2)² + (5 + 2)² = 0² + 7² = 49. Since this value is not equal to the right side, the point (–2, 5) is not on the circle.

An equation for the circle is (x + 2)² + (y - 2)² = 6. Substitute the point (–2, 5) into the expression on the left side to get (–2 + 2)² + (5 - 2)² = 0² + 3² = 9. Since this value is not equal to the right side, the point (–2, 5) is not on the circle.

Which set of trigonometric ratios are correct?

sin a° = 10/26 = 5/13, cos a° = 24/26 = 12/13, tan a° = 10/24 = 5/12

sin a° = 24/26 = 12/13, cos a° = 10/26 = 5/13, tan a° = 24/10 = 12/5

sin a° = 10/24 = 5/12, cos a° = 24/10 = 12/5, tan a° = 10/26 = 5/13

sin a° = 24/10 = 12/5, cos a° = 10/24 = 5/12, tan a° = 24/26 = 12/13

On the set of axes below, pentagon ABCDE is congruent to A''B"C"D"E". Which describes a sequence of rigid motions that maps ABCDE onto A''B"C"D"E"?

a rotation of 90° counterclockwise about the origin followed by a translation down 7 units

a rotation of 90° counterclockwise about the origin followed by a reflection over the x-axis

a reflection over the y-axis followed by a reflection over the x-axis

a reflection over the x-axis followed by a rotation of 90° counterclockwise about the origin

GEOMETRY EOC Practice Test

Authored by Marie Ely

Mathematics

10th Grade

CCSS covered

Used 2+ times

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56 questions

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FILL IN THE BLANK QUESTION

30 sec • 1 pt

Given Circle N, what is m∠ABC?

Tags

CCSS.HSG.C.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which two statements contradict each other?
I. ∠1 and ∠2 are complementary angles.
II. m∠1 = 50.
III. m∠1 + m∠2 + m∠3 = 180, and m∠3 ≠ 90.

I and II

II and III

I and III

None

Tags

CCSS.7.G.B.5

FILL IN THE BLANK QUESTION

30 sec • 1 pt

If n ∥ m, find m∠2 + m∠4.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The pyramid shown needs to be placed into a box. The volume of the pyramid is 176 mm³. If a box has the same base dimensions as the pyramid, will the pyramid fit into the box with each of the heights?

The pyramid will fit in the box with heights 15 mm and 12 mm, but not with 10 mm.

The pyramid will fit in the box with heights 10 mm and 12 mm, but not with 15 mm.

The pyramid will fit in the box with heights 10 mm and 15 mm, but not with 12 mm.

The pyramid will fit in the box with all three heights: 10 mm, 12 mm, and 15 mm.

Tags

CCSS.HSG.GMD.A.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the figure shown, what is the value of x?

Tags

CCSS.HSG.CO.C.9

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Use the figure shown. Select all the true statements.

m∠BAC = m∠CED

m∠CAB < m∠CED

m∠CDE = m∠EFG

FG = 11

m∠ACB = m∠ECD

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write an equation or inequality that relates m∠D to m∠F.

m∠D = m∠F

m∠D > m∠F

m∠D < m∠F

m∠D + m∠F = 180°

Tags

CCSS.HSG.CO.C.10

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GEOMETRY EOC Practice Test

Given Circle N, what is m∠ABC?

Which two statements contradict each other? I. ∠1 and ∠2 are complementary angles. II. m∠1 = 50. III. m∠1 + m∠2 + m∠3 = 180, and m∠3 ≠ 90.

If n ∥ m, find m∠2 + m∠4.

The pyramid shown needs to be placed into a box. The volume of the pyramid is 176 mm³. If a box has the same base dimensions as the pyramid, will the pyramid fit into the box with each of the heights?

In the figure shown, what is the value of x?

Use the figure shown. Select all the true statements.

Write an equation or inequality that relates m∠D to m∠F.

If CF = 3, CD = 18, and EF = 3, what is the perimeter of △CDE?

A basketball has an approximate volume of 268 cm³. What is the diameter of the basketball? Use 3.14 for π, and round your answer to the nearest whole cm.

Karen can fit 40 vinyl records of diameter 2 in. in the cylindrical container shown. What is the thickness of each record if the volume of the container is 20π?

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Which two statements contradict each other?
I. ∠1 and ∠2 are complementary angles.
II. m∠1 = 50.
III. m∠1 + m∠2 + m∠3 = 180, and m∠3 ≠ 90.