ISEE Upper Level Word Problems Practice Test 25

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1. Which one of the following expressions does NOT represent an integer?

  • A.
  • B.
  • C.
  • D.

2. Line l has a slope of . If line m is perpendicular to line l, what is the slope of line m?

  • A. -
  • B. -
  • C.
  • D.

3. During an 80-minute musical, of the time was devoted to changes of scenery. If the average time it took to change the scenery was 40 seconds, how many times was the scenery changed?

  • A. 12
  • B. 16
  • C. 24
  • D. 96

4. A solution set is shown on the number line.

Which expression represents the solution set?

  • A. |x + 4| ≤ 6
  • B. |x + 4| ≤ –6
  • C. |x – 4| ≤ 6
  • D. |x – 4| ≤ –6

5. Sylvester is placing square tiles on his bathroom floor. If the measurement of the floor is 15 feet wide by 21 feet long, and the area of each tile is 1 yd2, how many tiles will Sylvester need?

  • A. 18
  • B. 35
  • C. 105
  • D. 315

6. If b2 + 25 = 0, which represents all possible values of b?

  • A. 5
  • B. ±5
  • C. 5i
  • D. ±5i

7. Which of the following is the result of the expression ?

  • A.
  • B.
  • C.
  • D.

8. If ab + 3 = xba, then b =

  • A.
  • B.
  • C.
  • D.

9. Use the stem-and-leaf plot to answer the question.

StemLeaf
01 1 2 2
11 4
22 5 6
37
41 8 9
55
62 3 6 7

Which of the following can be determined based on the data above?

  • A. mean only
  • B. mean and median only
  • C. mean, median, and mode only
  • D. mean, median, mode, and range

10. If a sausage 26 inches long were cut into 2 pieces so that one piece was 8 inches longer than the other piece, what would the length be, in inches, of the shorter piece?

  • A. 5 in
  • B. 9 in
  • C. 17 in
  • D. 21 in

11. Use the diagram below to answer the question.

If the radius of the smaller circle is 6 cm and the radius of the larger circle is 10 cm, what is the area of the shaded region?

  • A. 16π cm2
  • B. 36π cm2
  • C. 64π cm2
  • D. 100π cm2

12. The box-and-whisker plot below shows the number of days without sunlight in a remote village in northern Alaska during winter last year.

What is the range of the data?

  • A. 30
  • B. 45
  • C. 55
  • D. 70

13. If there are 5,280 feet in a mile, and a dog runs 14 miles per hour, which of the following expressions shows the dog's speed in feet per minute?

  • A.
  • B.
  • C.
  • D.

14. There are 7 orange jelly beans, 5 pink jelly beans, 3 green jelly beans, and 4 brown jelly beans in a bag. Graciela randomly removes two jelly beans from the bag without replacing the first jelly bean. If the first jelly bean Graciela removed was brown, what is the probability that the second jelly bean she removed was pink?

  • A.
  • B.
  • C.
  • D.

15. Triangle LNM is shown. The measure of angle LNM is 50°, and the length of MN is 5 cm.

Side length is equal to which one of the following expressions?

  • A. 5 tan 50°
  • B. 5 sin 40°
  • C.
  • D.

16. The height of the cone shown is 3 times its radius. The formula used to find the volume of a cone is V = r2hπ, where r is the radius of the cone and h is the height of the cone.

If the diameter of the cone is 4 cm, what is the volume of the cone in centimeters2?

  • A. 8π
  • B. 24π
  • C. 32π
  • D. 48π

17. The normal number of days of rain per year in City A is 20, and this year's number of days of rain was within 5 days of the normal number. If this year's number of days of rain was R, which one of the following best describes this scenario?

  • A. |R – 5| ≤ 20
  • B. |R – 5| ≥ 20
  • C. |R – 20| ≤ 5
  • D. |R – 20| ≥ 5