NYST SAMPLE QUESTIONS: HIGH SCHOOL MATH

The NYST is a Computer-Based Longitudinal Assessment System for College and Career Readiness. The students will face a variety of new technology-enhanced questions as a part of the computer-based tests.

Some of them are Multiple choice-single correct responses, Multiple choice-multiple correct responses, Matching Tables, Drag and Drop, Hot text, Table Fill in, Graphing, Equation/numeric, Extended constructed response, Short answer, and many more.

Today, we will share several sample questions along with practice test links for High School Math that gives you an idea of questions that your students are likely to see on the test. After each sample question, an explanation follows that includes any important aspects of the task that you may need to consider with respect to the skills, processes, and information your students need to know.

Domain: High School >> Quantities

Sample Question: James is driving from Dallas to Abilene and back. The trip is 180 miles one way. On the way there he left Dallas at 8:00am and arrived in Abilene at 10:30am. On the way back he left Abilene at 12:00pm and arrived back in Dallas at 2:45pm. If we want to figure out his rate of speed on the way to Abilene, what units will we use for the answer?

  1. Miles
  2. Hours
  3. Miles per hour
  4. Kilometers

Answer Explanation: Since we know that distance equals rate times time (d=r*t), we can deduce that rate equals distance divided by time (r=d/t). Distance is given in miles and time is given in hours, therefore we will get a rate in miles per hour.

Standards: HSN.Q.A.1

Click here to practice: Quantities Questions on High School

Domain: High School >> Similarity, Right Triangles, and Trigonometry

Sample Question: Perform a dilation on point B centered at the origin with scale factor equal to 3. What is the coordinate of the resulting image point B’?

  1. (-1 , 2/3)
  2. (2/3 , -1)
  3. (-9 , 6)
  4. (6 , -9)

Answer Explanation: When a dilation is performed about the origin, the coordinates of the image point are the product of the scale factor and the coordinates of the original point. 3*-3 = -9. 3*2 = 6.

Standards: HSG.SRT.A.1

Click here to practice: High School Similarity, Right Triangles, and Trigonometry Questions

Domain: High School >> Linear, Quadratic, and Exponential Models

Sample Question: Is the following statement true or false?

An exponential function will always surpass a linear function’s dependent variables (y-values) eventually.

  1. False
  2. True
  3. True, except for linear equations with positive slopes
  4. Cannot determine

Answer Explanation: The statement can be easily disproven using a negative exponential function such as y=−2x. This function is exponential but would never surpass a line with positive slope.

Standards: HSF.LE.A.1

Click here to practice: High School Linear, Quadratic, and Exponential Models Questions

Domain: High School >> Rewriting Expressions

Sample Question: Which expression is equivalent to 9x2 – 16y2?

  1. (3x – 4y) (3x – 4y)
  2. (3x + 4y) (3x + 4y)
  3. (3x + 4y) (3x – 4y)
  4. (3x – 4y)2

Answer Explanation: Student must recognize the expression is the difference of two perfect squares

Standards: HSA.SSE.A.2

Click here to practice: Rewriting Expressions Questions for High School

Domain: High School >> Zeroes of a polynomial

Sample Question: The product of any two odd numbers will always be:

  1. odd
  2. even
  3. unable to determine
  4. sometimes odd, sometimes even

Answer Explanation: student must be able to conclude that after multiplying two odd numbers the answer will always be odd; if the definition of odd is 2k + 1, where k is an integer, and we take a second odd number defined as 2n + 1, is odd where n is an integer, we see that (2k+1)(2n+1)=4kn+2k+2n+1 which factors to 2(2kn+k+n)+1 showing again we have the product of 2 and an integer plus 1 which will always be odd;

Standards: HSA.REI.A.1

Click here to practice: Zeroes of a polynomial Questions for High School

Looking for online practice tests? Here is the link to practice more of NYST High School Math questions.

Jaci Smith