SAT Math Practice

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  1. In the geometrics sequence (9, 18, 36, 72) where b1=9, what is the value of b12?

 

  1. What is the average of 4x+5, 7x-6, and 8x+2?
  1. Lenny’s average score after 3 tests is 88. What score on the 4th test would bring his average up to 90?
  1. An agent receives a commission of 40 cents for every $50 of business she procures. What percent is the agent’s commission?
    (A) 0.8%
    (B) 1.0%
    (C) 1.25%
    (D) 1.5%
    (E) 2.5%

    5. What is z if 2.5% of z equals 75% of 50?
    (A) 10
    (B) 25
    (C) 50
    (D) 75
    (E) 1500

  2. Given the series 2, 5,8,11, what is the 12th term of this sequence?

 

1500
Now, (2.5/100) z = (75/100) 50. So, z = (75/2.5) 50 = (750/25) 50 = 1500.
Alternatively, 75 is 30 times 2.5. So, z must be 30 times 50.
Of the given options, only 1500 is large enough.
To save time, you can sometimes guess the answer without doing detailed computations.

  1. Given the series, , , , …, what is the 10th term of this sequence?

 

  1. Mindy’s average monthly salary for the first 4 months she worked was $300. What must her average salary for the next 8 months be so that her average monthly salary for the year is $350?

(A) $400

(B) $380

(C) $390

(D) $375

(E) $370

 

  1. Andrew drove 100 miles at an average speed of 50 mph He then increased his speed by 20% and drove another 30 miles. What was the average speed for the entire journey?
  1. 4/7 of professors are male. The ratio of tenured: untenured is 2:5. If 1/5 of male professors are tenured, what fraction of female professors are untenured?

(A) 1/7

(B) 1/3

(C) 2/5

(D) 3/5

(E) 2/3

 

  1. If increasing 20 by P percent gives the same result as decreasing 60 by P percent, what is P percent of 70?

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