The NYSTCE Mathematics test measures your knowledge according to the New York State Academic Standards. Success on this test indicates that you are qualified to teach math in the New York State public school system. The test content is drawn from these subareas:

Number and Quantity (8% of the exam)

Algebra (20%)

Functions (17%)

Calculus (10%)

Geometry and Measurements (15%)

Statistics and Probability (10%)

Pedagogical Content Knowledge (20%)

The test consists of approximately 90 multiple-choice questions and one constructed-response question.

## NYSTCE Mathematics Practice Questions

**1. Simplify: 2 ^{8}/2^{4}.**

A: 16

B: 1/4

C: 1/16

D: 4

**2. Convert 13/20 into a percentage.**

A: 13%

B: 39%

C: 52%

D: 65%

**3. Solve: 3( x – 4) > 4x – 15. **

A:

*x*< -3

B:

*x*< 3

C:

*x*> -3

D:

*x*> 3

**4. Write 0.000764 in scientific notation.**

A: 764 x 10^{-4}

B: 7.64 x 10^{4}

C: 7.64 x 10^{-4}

D: 764 x 10^{4}

**5. Find the x-intercept of y = 2/3x – 8. **

A: 8

B: 9

C: 10

D: 12

## Answer Key

1. A. Since the numbers both have a base of 2, you may simply subtract the exponent in the denominator from the exponent in the numerator. You can then solve the problem by finding 2 to the 4th power.

2. D. The solution can be found by setting up the following equation: 13/20 = *x*/100.

3. B. Rather than end with –*x*, reverse the inequality sign and make the *x* positive.

4. C. In scientific notation, a number is written as a number between 1 and 10 multiplied by a power of ten.

5. D. The *x*-intercept is the point where the line described by this equation crosses the *x*-axis or, in other words, where y = 0.