NYSTCE Mathematics CST (004)
NYSTCE Mathematics CST (004) is a trademark of its owner, which is not affiliated with and does not endorse Test Treasure Publication or TTP Prep.
NYSTCE Mathematics CST (004) is a trademark of its owner, which is not affiliated with and does not endorse Test Treasure Publication or TTP Prep.
10 sample questions for the NYSTCE Mathematics CST (004), with the correct answer and an explanation for each. No account needed. Try each one before you open the answer.
Sections covered on the exam: Number and Quantity/Algebra, Functions, Calculus, Measurement and Geometry, Statistics and Probability, Pedagogical Content Knowledge.
Question 1 · Number and Quantity/Algebra
Answer: C. 16
First multiply −8 and 6. −8 × 6 = −48 Now divide by −3. −48 ÷ −3 = 16
Question 2 · Functions
Consider the table below
| x | f(x) |
|---|---|
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
Answer: D. f(x) = 2x + 1
Explanation Test x = 1. 2(1) + 1 = 3 Test x = 2. 2(2) + 1 = 5 The rule matches all values.
Question 3 · Calculus
Answer: D. variables appear on both sides of the equation
Explanation Implicit differentiation applies when x and y appear in the same equation and the equation is not solved explicitly for y. Example: x² + y² = 1
Question 4 · Measurement and Geometry
Answer: B. acute
Explanation Angle classification: 35° is less than 90°.
Question 5 · Statistics and Probability
Answer: A. produce more reliable estimates
Explanation Larger samples tend to better represent the population, producing more accurate statistical estimates.
Question 6 · Number and Quantity/Algebra
Answer: C. 6
Explanation Multiply first. −9 × −4 = 36 Now divide. 36 ÷ 6 = 6 Two negative numbers multiply to produce a positive result.
Question 7 · Functions
| x | f(x) |
|---|---|
| 1 | 4 |
| 2 | 7 |
| 3 | 10 |
| 4 | 13 |
Answer: B. f(x) = 3x + 1
Explanation Test x = 1. 3(1) + 1 = 4 Test x = 2. 3(2) + 1 = 7 The rule fits all values.
Question 8 · Calculus
Answer: B. dy/dx = −y/(x + 1)
Explanation Differentiate. x(dy/dx) + y + dy/dx = 0 Combine dy/dx terms. (x + 1)(dy/dx) + y = 0 dy/dx = −y/(x + 1)
Question 9 · Measurement and Geometry
Answer: B. acute
Explanation Angle classification: 80° is an acute angle.
Question 10 · Statistics and Probability
Answer: A. improves estimate accuracy
Explanation Larger samples provide better approximations of population characteristics, reducing error.
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