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1

Which of the following could be the measures of the three angles of a triangle?

The longest side of a certain right triangle is 10 units long. Another side is 6 units long. Which of the following represents the length of the triangle’s third side?

A)

√(10^{2} + 6^{2})

B)

√10^{2} + √6^{2}

C)

√10^{2} – √6^{2}

D)

√(10^{2} – 6^{2})

E)

√(10 – 6^{2})

Question 4 refers to the following drawing and information.

Stan has a cardboard box that measures 10 inches wide by 13 inches long. He must pack cans of soup in the box that measure 3 inches in diameter. Only one layer of cans will fit in the box.

4

If Stan packs the cans in rows, and is careful to arrange the cans so that he fits in the maximum number possible, how many cans will fit in the box?

A wheel is constructed with steel spokes radiating from the center to the rim, as shown. The spokes are spaced 30 degrees apart. How many spokes does it take to make one wheel?

Julio puts four boxes of the same size together for shipping. He puts two loops of heavy-duty tape around the boxes. The ends of the boxes are each 6 inches square. How many feet of tape does Julio use?

A)

4 feet

B)

6 feet

C)

8 feet

D)

24 feet

E)

48 feet

Question 7 refers to the following drawing and information.

A radio antenna is constructed from three metal rods: AB, CD, and EF. A wire connects the ends of the rods at BCF and at ADE at right angles.

7

If rod EF is 6 centimeters long, how many centimeters long is rod AB?

A)

6 centimeters

B)

12 centimeters

C)

18 centimeters

D)

24 centimeters

E)

Not enough information is given.

Questions 8 and 9 refer to the following information.

To find the height of a building, Oscar stuck the end of a 4 ½-foot stick 6 inches straight into the ground. He measured the shadow of the stick and found it was 1 foot long. Oscar then measured the building’s shadow and found it was 16 feet long.

A square piece of cloth is cut from a larger square as in the figure above. The corners of the smaller square are the midpoints of the sides of the larger square. How much cloth, in square centimeters, is left over?