ARITHMETIC PRACTICE QUESTIONS FOR SAT

To find questions from 1 to 7, please visit the page "Math Practice Worksheets For SAT in Arithmetic"

Question 8 :

n is odd integer and 10 < n < 19. What is the mean of all possible values of n ?

(A)  13  (B)  13.5  (C)  14  (D)  14.5  (E)  15.5

Solution :

Odd numbers between 10 and 19 are 11, 13, 15, 17.

Average of those numbers  =  (11 + 13 + 15 + 17)/4

  =  56/4

  =  14

Hence the mean of all possible values of n is 14.

Question 9 :

a  Δ b  =  3(a/b) . What is 14/32 Δ 1  3/4 ?

(A)  1/4  (B)  1/3  (C)  1/2  ()D)  3/4  (E)  49/64

Solution :

14/32 Δ 1  3/4

Here a = 14/32, b = 1  3/4  ==>  7/4

a  Δ b  =  3 [ (14/32) / (7/4) ]

  =  3 [ (14/32) ⋅ (4/7) ]

  =  3 [1/4]

  =  3/4

Hence the answer is 3/4.

Question 10 :

Jon works 4.5 hours a day, 3 day each week after school. He is paid $7.25 per hour. How much is his weekly pay (rounded to the next highest cent ?)

(A)  $13.50  (B)  $19.13  (C)  $21.45  

(D)  $94.50  (E)  $97.88

Solution :

Number of hours he works  =  4.5

Number of days he works  =  3

Total number of hours he works per week  =  3(4.5)

  =  13.5

Cost per hour  =  $7.25

His weekly pay  =  13.5(7.25)

  =  97.875

Hence, his weekly pay is $97.88

Question 11 :

Zim buys a calculator that is marked 30% off. If he pays $35, what was the original price ?

(A)  $24.50  (B)  $45.50  (C)  $47.00

(D)  $50.00  (E)  $62.50

Solution :

It is given 30% off, so we pay 70% of the original cost 

70% of original cost  =  35

(70/100) ⋅ original cost  =  35

original cost  =  35 (100/70)

  =  50

Hence the answer is $50.00.

Question 12 :

A museum records 16 visitors to an exhibit on Monday, 21 on Tuesday, 20 on Wednesday, 17 on Thursday, 19 on Friday, 21 on Saturday, and 17 on Sunday. What is the median number of visitors for the week ?

(A)  18.5  (B)  18.75  (C)  19  (D)  19.5  (E)  19.75

Solution :

By writing the visitors in a form sequence, we get

16, 21, 20, 17, 19, 21

Now, let us arrange them from least to greatest

16, 17, 19, 20, 21, 21

n = 6 (even)

Median  =  (3^rd term + 4^th term)/2

  =  (19 + 20)/2

  =  19.5

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