Cumulative Exam Answers

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot.What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?

Which measurements are correct? Select two options.

The area of the regular octagon is 10.15 cm2.

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

Including Jose, there are eight people in his family.If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

A prism has 2 congruent hexagonal bases like the one shown. Each hexagon is made from 2 congruent isosceles trapezoids.

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

A circular disc has an area that measures between 1,650 and 1,700 square inches.What could be the length of its radius? Use 3.14 for .

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

The volume of a cone is 3πx3 cubic units and its height is x units.Which expression represents the radius of the cone’s base, in units?

Point F is on circle C.

AC and DB are chords that intersect at point H.

A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height.

A cone has a circular base with a diameter of 18 inches. The height of the cone is 40 inches.What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.What is the approximate probability that exactly three of the cards are diamonds?

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

Triangle ABC is a right triangle and sin(53o) = . Solve for x and round to the nearest whole number.

Consider kite FGHJ.

What is the radius of a circle whose equation is x2+y2−10x+6y+18=0?

Figure PQRS is a parallelogram.

Consider quadrilateral EFGH.

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

The base of a solid right pyramid is a square with an edge length of n units. The height of the pyramid is n − 1 units.

Triangle BDC is isosceles.

Points H and F lie on circle C.

Consider the sets below.U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}Is R ⊂ A?

A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.

On a coordinate plane, a circle has a center at (negative 2, 1).

A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

An isosceles right triangle has leg lengths of 4 centimeters. What is the length of the altitude drawn from the right angle to the hypotenuse?

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

In circle O, AC and BD are diameters.

The Venn diagram shows the number of employers who ranked skills important for careers in their field.C represents communication, T represents technical skills, and M represents the ability to handle money.

A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

The hypotenuse of right triangle ABC, line segment AC, measures 13 cm. The length of line segment BC is 5 cm.

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.