SAT Math Multiple Choice Practice Test 62

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Question 16 questions

Time 24 minutes

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1.

A flooring company stores its marble tiles in vertical stacks as shown above. Eachtile measures. How many cubic feet of tile are there in one stack of 48 of these tiles?

  • A. 4.5
  • B. 54
  • C. 162
  • D. 648

2. If a right cylinder with a radius of 2 cm has a volume of 100π cm3, what is the height, in centimeters, of the cylinder?

  • A. 20
  • B. 25
  • C. 40
  • D. 50

3.

The bottom of the fish tank shown is filled with rocks. The tank is then filled withwater to a height of 18 inches. When the rocks are removed, the height of the waterdrops to 16.5 inches. How many cubic inches of water do the rocks displace?

  • A. 280
  • B. 420
  • C. 560
  • D. 980

4. What is the radius of the largest sphere that can be placed inside a cube that hasa volume of 64 cubic units?

  • A. 2
  • B.
  • C. 4
  • D. 8

5. A cylinder has a volume of 72π cubic inches and a height of 8 inches. If the heightis increased by 4 inches, what will be the new volume of the cylinder in cubic inches?

  • A. 76π
  • B. 108π
  • C. 328π
  • D. 576π

6. Milk is poured from a full rectangular container with dimensions 4 inches by 9 inchesby 10 inches into a cylindrical container with a diameter of 6 inches. Assuming allthe milk is transferred without spillage, how many inches high will the milk reachin the cylindrical container?

  • A.
  • B.
  • C. 24
  • D. 30

7.

A jeweler makes beads for a bracelet by melting silver into spherical molds. Eachmold has a diameter of 1 centimeter. After the silver hardens, the jeweler drillsa small cylindrical hole through the center of the bead for the chain as shown. Thedrill bit has a diameter of 4 millimeters. If the jeweler strings a total of 15 beadson an elastic band, what is the approximate volume of silver, in cubic centimeters,on the bracelet? (Note: There are 10 millimeters in 1 centimeter.)

Note: The volume is approximate because the top and bottom of the cylindrical piece that is drilled out is slightlycurved.

  • A.
  • B.
  • C.
  • D.

8. Davis drew a unit circle and labeled the cosine and sine of 45° as. Assuming that Davis is correct, which of the following statements must be true?

  • A.
  • B.
  • C.
  • D.

9.

In the right triangle above, cos x = 0.8. What is the value of cos y?

  • A.
  • B.
  • C.
  • D.

10. Right triangle ABC has side lengths 7, 24, and 25. If ∠B is the second-largest interior angle of the triangle, what is the cosine of ∠B?

  • A.
  • B.
  • C.
  • D.

11. If the longer leg of a right triangle has length 32 centimeters, and the measure ofthe angle that is adjacent to that leg is 30°, which of the following represents thelength, in centimeters, of the hypotenuse of the triangle?

  • A.
  • B.
  • C.
  • D.

12.

In the triangle above, tan. What is cos x?

  • A.
  • B.
  • C.
  • D.

13. If, then what is tan t?

  • A.
  • B.
  • C.
  • D. 3

14.

Triangle BUG shown is an isosceles right triangle. If the length of side UG is 5 units, what is the sine of ∠G?

  • A.
  • B.
  • C.
  • D. 1

15.

The equation of line M shown above is. Given that angle A is the acute angle formed by the intersection of line M and the y-axis, which expression could be used to find the measure of angle A?

  • A.
  • B.
  • C.
  • D.

16.

If the area of the triangle shown above is 12 square inches, what is the value ofcos z?

  • A.
  • B.
  • C.
  • D. 1