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Synthesis of 9th grade math questions past4

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; Subject: ; Class: ; with 10 questions; test in 10 minutes; update 21/03/2018
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Question 1.

Quadrilateral PQRS is inscribed in circle O, and the angle P is 5x degree and the angle R is 7x + 120 degree. What is the value of x?

(A)

18

(B)

2

(C)

5

(D)

10

(E)

9

Question 2.

What is the length of the arc intercepted by an angle \(2\pi \over7\) when the radius is 9 ?

(A)

\(14\pi \over9\)

(B)

\(2\pi \over63\)

(C)

\(18\pi \over7\)

(D)

\(7\pi \over18\)

(E)

\(63\pi \over2\)

Question 3.

Jenny is experimenting with transformations by drawing the original triangle with a thin line, and the transformed triangle with a thick line.

Which of the following is not true about this transformation?

(A)

The transformation for a triangle includes a reflection across x axis

(B)

The corresponding pairs of segments are parallel

(C)

The corresponding pairs of sides are equal in length

(D)

The corresponding pairs of angles are equal

(E)

The transformation for a triangle includes a translation

Question 4.

Which of the following is not a true statement?

(A)

A set of points equidistant from a single point, called the center, defines a circle

(B)

Parallel lines lie in the same plane and intersect at right angle

(C)

A portion of a line which starts at a point and goes off to infinity

(D)

An angle is formed by two rays that share the same endpoint

(E)

A line segment is a subsection of a straight line between two points, called end points

Question 5.

Which of the following is a sequence of transformations which will carry a triangle PQR onto a triangle P'Q'R'?

(A)

(x, y) → (−x, y) → (−x − 11, y + 1)

(B)

(x, y) → (x, −y) → (x + 11, −y + 1)

(C)

(x, y) → (x, −y) → (x − 11, −y − 1)

(D)

(x, y) → (x, −y) → (x − 11, −y + 1)

(E)

(x, y) → (−x, y) → (−x + 11, y + 1)

Question 6.

The triangle PQR is given below. The point S is the midpoint of the line segment PQ, and the point T is the midpoint of the line segment PR. What is the length of the line segment ST if the length of the line segment QR is 16?

(A)

10

(B)

8

(C)

7

(D)

6

(E)

9

Question 7.

Given the diagram below, how widely does a compass have to be open to construct a perpendicular bisector of the segment PQ when the length of the segment PQ is 4?

(A)

Has to be 2

(B)

Has to be less than 2

(C)

Has to be greater than or equal to 2

(D)

Has to be less than or equal to 2

(E)

Has to be greater than 2

Question 8.

When a regular hexagon is inscribed in a circle with a diameter of 14, what is the length of one side of hexagon?

(A)

\(7\sqrt3\)

(B)

\(3.5\sqrt2\)

(C)

\(7\sqrt2\)

(D)

\(3.5\sqrt3\)

(E)

7

Question 9.

What is the volume of a cylinder if the height of a cylinder is 2 and the circumference of a base of a cylinder is 42π?

(A)

42π

(B)

294π

(C)

84π

(D)

882π

(E)

28π

Question 10.

The line segment is given below. What is the volume of the object generated by rotation around the x axis?

(A)

525π

(B)

1575π

(C)

735π

(D)

35π

(E)

245π

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10   
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