ISEE Mathematics Achievement Practice Test 1

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1. Nate is n years old. If Blair is 6 years younger than Nate, which of the following gives Blair's age, in years?

  • A. 6 – n
  • B. n – 6
  • C. 6 + n
  • D.

2. During her bowling competition with Paul, Krissi scored a total of 320 points in 4 matches. During her fifth match, she scored 75 points. What was Krissi's average score for the five games?

  • A. 75.00
  • B. 77.50
  • C. 79.00
  • D. 80.00

3. The graph shows the distance Enrico was from the beach over a period of time during his walk home.

During the walk, Enrico worried that he had left his keys at the beach. He paused to look through his beach bag, did not find the keys, and started to walk back to the beach. Before he arrived at the beach, he realized that the keys were in his pocket, so he turned back around and went home. What was the total extra distance that Enrico walked because of his mistake?

  • A. 0.2 kilometers
  • B. 0.3 kilometers
  • C. 0.4 kilometers
  • D. 0.5 kilometers

4. Let ‡x = 3x – 7. What is the value of ‡6?

  • A. 11
  • B. 17
  • C. 20
  • D. 25

5. If x is an even integer, then which of the following CANNOT be an integer?

  • A. x – 2
  • B. 2x + 3
  • C.
  • D.

6. If the length of the base of a parallelogram is decreased by 30% and the height is increased by 20%, what is the percent decrease in the area of the parallelogram?

  • A. 16%
  • B. 20%
  • C. 24%
  • D. 28%

7. If (x + 6)2 = x2 + nx + 36, what is the value of n?

  • A. 3
  • B. 6
  • C. 12
  • D. 36

8. If a and b each has a remainder of 4 when divided by 5, then which one of the following also has a remainder of 4 when divided by 5?

  • A. a – b
  • B. 2a – b
  • C. 2a + b
  • D. a + 2b

9. If the sum of the integers from 1 to 499, inclusive, is r, what is the sum of the integers from 1 to 497, inclusive, in terms of r ?

  • A. r – 499
  • B. r + 499
  • C. r – 997
  • D. r + 997

10. If y is a non-zero number, which one of the following can NEVER be true?

  • A. = 12
  • B. = 12
  • C. = 13 – y
  • D. = 13 – y

11. What is the value of ?

  • A. 1
  • B. 4
  • C. 8
  • D. 16

12. Trapezoid GHJK is similar to trapezoid WXYZ.

Note: Figures not drawn to scale.

What is the length of side YZ?

  • A. 6 cm
  • B. 6y cm
  • C. 10 cm
  • D. 10y cm

13. Stewie knows that y is an integer greater than 4 and less than 10, and Peter knows that y is an integer greater than 5 and less than 12. If they share their information about y, then they know that y must be

  • A. one of exactly 2 possible values
  • B. one of exactly 4 possible values
  • C. one of exactly 5 possible values
  • D. one of exactly 7 possible values

14. If 3x + 2y = 8 and 2x + y = 12, what is 5x + 3y?

  • A. –20
  • B. –8
  • C. 16
  • D. 20