Bluebook SAT Test Digital SAT Hard Math Practice 5

Question 1

For a set of 8 data values, the mean is 12 and the standard deviation is 4. If 3 is added to every value, what are the new mean and standard deviation?

Accepted Answer

Mean 15, SD 4

Answer

Mean 15, SD 7

Answer

Mean 12, SD 7

Answer

Mean 12, SD 4

Question 2

The complex number (2 + 3i)² is equal to which of the following?

Accepted Answer

−5 + 12i

Answer

4 + 12i

Answer

4 + 9i²

Answer

5 + 12i

Question 3

If 2sin²x − sinx − 1 = 0 for 0 ≤ x < 2π, how many solutions does the equation have?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 4

The median of five consecutive even integers is 14. What is the sum of the largest and smallest integers?

Accepted Answer

28

Answer

14

Answer

30

Answer

16

Question 5

If f(x) = e^x and g(x) = ln(x + 3), what is f(g(1))?

Accepted Answer

4

Answer

e

Answer

ln 4

Answer

1

Question 6

A line segment has endpoints A(−2, 5) and B(4, −3). What are the coordinates of the point that divides AB in the ratio 2:1 from A to B?

Accepted Answer

(2, −1/3)

Answer

(0, 1)

Answer

(2, −1)

Answer

(1, 1)

Question 7

A tank drains at a rate modeled by dV/dt = −kV, where V is volume and k = 0.2 per minute. If V(0) = 500 liters, what is V(10) to the nearest liter?

Accepted Answer

68

Answer

100

Answer

135

Answer

300