ISEE Math Practice Test: Middle and Upper Levels

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1. How many numbers between 1 and 100, inclusive, are both prime and a multiple of 4 ?

  • A. 0
  • B. 12
  • C. 20
  • D. 25

2. How many factors do the integers 24 and 81 have in common?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

3. If the final total of a dinner bill-after including a 25% tip-is $50, what was the cost of the dinner before including the tip?

  • A. $12.50
  • B. $25.00
  • C. $37.50
  • D. $40.00

4. How many numbers between 1 and 100 are multiples of both 2 and 7 ?

  • A. 6
  • B. 7
  • C. 8
  • D. 9

5. 23 × 23 × 23 =

  • A. 26
  • B. 29
  • C. 227
  • D. 89

6. For what integer value of m does 2m + 4 = m3 ?

  • A. 1
  • B. 2
  • C. 3
  • D. 4

7. If 6x - 4 = 38, then x + 10 =

  • A. 7
  • B. 10
  • C. 16
  • D. 17

8. What is the smallest multiple of 7 that is greater than 50 ?

  • A. 7
  • B. 49
  • C. 51
  • D. 56

9. One-fifth of the students in a class chose recycling as the topic for their science projects. If four students chose recycling, how many students are in the class?

  • A. 4
  • B. 10
  • C. 16
  • D. 20

10. If a harvest yielded 60 bushels of corn, 20 bushels of wheat, and 40 bushels of soybeans, what percent of the total harvest was corn?

  • A. 50%
  • B. 40%
  • C. 33%
  • D. 30%

11. At a local store, an item that usually sells for $45 is currently on sale for $30. By what percent is that item discounted?

  • A. 10%
  • B. 25%
  • C. 33%
  • D. 50%

12. Which of the following is most nearly 35% of $19.95 ?

  • A. $3.50
  • B. $5.75
  • C. $7.00
  • D. $9.95

13. A pair of shoes is offered on a special blowout sale. The original price of the shoes is reduced from $50 to $20. What is the percent change in the price of the shoes?

  • A. 60%
  • B. 50%
  • C. 40%
  • D. 25%

14. Four friends each pay $5 for a pizza every Friday night. If they were to start inviting a fifth friend to come with them and still bought the same pizza, how much would each person then have to pay?

  • A. $1
  • B. $4
  • C. $5
  • D. $25

15. If the perimeter of a square is 56, what is the length of each side?

  • A. 4
  • B. 7
  • C. 14
  • D. 28

16. What is the perimeter of an equilateral triangle, one side of which measures 4 inches?

  • A. 12 inches
  • B. 8 inches
  • C. 6 inches
  • D. 4 inches