Problem Solving

A national travel survey in 1977 found that Americans took 382.6 million trips within the United States. California was the destination of 38 million trips. Approximately what percent of the trips had California as the destination?

In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 8 kilometers by car. What is the distance, in kilometers, from the dormitory to the city?

In the figure above, two rectangles with the same dimensions overlap to form the shaded region. If each rectangle has perimeter 12 and the shaded region has perimeter 3, what is the perimeter of the resulting figure?

The figure above shows the shape of a sign to be placed in front of a flower store. The sign has a semicircle on each side of the square. If the sign is 3 centimeters thick and if each side of the square is 50 centimeters long, what is the volume, in cubic centimeters, of the sign?

Audrey went shopping with D dollars. She spent 20% of her money on a blouse and 25% of what was left on a pair of shoes. What per cent of the original D dollars did she spend?

In the figure above, the five circles have points in common as shown. P is the center of the largest circle, Q and R are centers of the medium-sized circles, and Q, P, and R are points on a straight line. What fraction of the largest circular region is shaded?

If x > 0 and x 2 = 161 , what is the best whole number approximation of x ?

The number of diagonals of a polygon of n sides is given by the formula d=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have?

A warehouse had a square floor with area 10,000 square meters. A rectangular addition was built along one entire side of the warehouse that increased the floor by one-half as much as the original floor. How many meters did the addition extend beyond the original building?

If P = S 1 + n r and P , S , n , and r are positive numbers, then in terms of P , S and r what does n equal?

If the area of the circle above is 64 π π , what is the value of k ?

If x is an even integer, which of the following is an odd integer?

If l1 || l2 in the figure above, what is the value of x?

In the figure above, square CDEF has area 4. What is the area of △ ABF?

An enclosed rectangular tank with dimensions 2 meters by 3 meters by 4 meters is filled with water to a depth of 1 meter as shown by the shaded region in the figure above. If the tank is turned so that it rests on one of its smallest faces, the depth, in meters, of the water will be

If xyz ≠ 0 and x percent of y percent of z is t, then z =

The (x , y) pair (− 1 , 1) satisfies which of the following equations? I. 2 x 3 − y 2 = − 3 II. 2 x 2 − y 3 = 1 III. x 2 − 2 y 3 = − 1

Which of the following is equal to 3/8 of 1.28?