SSAT Math Practice Test 60: Middle and Upper Levels

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1. Sayeeda is a point guard for her basketball team. In the last 3 games, she scored 8 points once and 12 points in each of the other two games. What must she score in tonight's game to raise her average to 15 points?

  • A. 28
  • B. 27
  • C. 26
  • D. 25
  • E. 15

2. What is the greatest common factor of (3xy)3 and 3x2y5 ?

  • A. xy
  • B. 3x2y5
  • C. 3x2y3
  • D. 27x3y3
  • E. 27x5y8

3. The town of Mechanicville lies due east of Stillwater and due south of Half Moon Crescent. If the distance from Mechanicville to Stillwater is 30 miles, and from Mechanicville to Half Moon Crescent is 40 miles, what is the shortest distance from Stillwater to Half Moon Crescent?

  • A. 10
  • B. 50
  • C. 70
  • D. 100
  • E. It cannot be determined from the information given.

4.

PQRS is a square with an area of 144. What is the area of the shaded region?

  • A. 50
  • B. 72
  • C. 100
  • D. 120
  • E. It cannot be determined from the information given.

5.

PO and QO are radii of the circle with center O. What is the value of x ?

  • A. 30
  • B. 45
  • C. 60
  • D. 90
  • E. It cannot be determined from the information given.

6.

What is the value of x ?

  • A. 360
  • B. 100
  • C. 97
  • D. 67
  • E. It cannot be determined from the information given.

7.

ABC is an equilateral triangle. What is the perimeter of this figure?

  • A. 4 + 2π
  • B. 4 + 4π
  • C. 8 + 2π
  • D. 8 + 4π
  • E. 12 + 2π

8.

What is the perimeter of this figure?

  • A. 120
  • B. 44
  • C. 40
  • D. 36
  • E. It cannot be determined from the information given.

9. How many meters of police tape are needed to wrap around a rectangular crime scene that measures 6 meters wide by 28 meters long?

  • A. 34 meters
  • B. 68 meters
  • C. 90 meters
  • D. 136 meters
  • E. 168 meters

10. Billy Bob's Beans are currently packaged in cylindrical cans that contain 9 servings. The cans have a height of 20 cm and a diameter of 18 cm. Billy Bob wants to introduce a new single-serving can. If he keeps the height of the can the same, what should the diameter of the single-serving can be?

  • A. 3
  • B. 3
  • C. 4.5
  • D. 6
  • E. 6