Middle and Upper Levels ISEE Math Practice Test 33

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1. Two right circular cylinders have equal volumes. The formula for the volume of a cylinder is V = πr2h, where r is the radius of the cylinder and h is its height. The cylinder has a radius of 3 and a height of 4. If the other cylinder has a radius of 6, what is its height?

  • A. 1
  • B. 2
  • C. 4
  • D. 8

2. If the perimeter of a square is 36n2, what is the length of one side?

  • A. 6n
  • B. 9n
  • C. 6n2
  • D. 9n2

3.

If AB = 12 and AC = 20, what is the perimeter of the figure above?

  • A. 32
  • B. 44
  • C. 52
  • D. 64

4.

If ABCD is a rectangle, and x = 70, what is the value of y° + z° - w° ?

  • A. 20°
  • B. 70°
  • C. 90°
  • D. 110°

5.

What is the area of the figure above if all the angles shown are right angles?

  • A. 38
  • B. 42
  • C. 50
  • D. 88

6. How many meters of fencing are needed to surround a yard that measures 32 meters wide by 28 meters long?

  • A. 60 meters
  • B. 120 meters
  • C. 448 meters
  • D. 896 meters

7.

What is the slope of a line that is perpendicular to line segment AB ?

  • A.
  • B.
  • C.
  • D.

8.

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°

9.

What is the value of x°?

  • A. 117°
  • B. 100°
  • C. 95°
  • D. 46°

10.

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

  • A. 6 + 3π
  • B. 6 + 6π
  • C. 12 + 3π
  • D. 12 + 6π

11.

If MNPQ is a square, what is the area of the trapezoid?

  • A. 48
  • B. 64
  • C. 88
  • D. 112