MATHNASIUM JOB ASSESSMENT FINAL PAPER 2025/2026
QUESTIONS WITH ANSWERS GRADED A+
✔✔30's adjacent leg is sqrt3; 60's adjacent leg is 1, and the hypotenuse is 2 - ✔✔30-60-
90 right triangle
✔✔two legs are 1, and the hypotenuse is sqrt of 2. - ✔✔45 - 45 - 90 right triangle
✔✔"Bottom heavy y = 0
"Top heavy no horizontal asymptote
"divide the leading coefficients y = # - ✔✔rules for horizontal asymptotes!
✔✔A factor in both the denominator and the numerator equals zero is a hole, but a
factor in only the denominator that equals zero is a vertical asymptote - ✔✔difference
between hole and vertical asymptotes
✔✔0 - constant
1 - linear
2 - quadratic
3 - cubic
4 - quartic
5 - quintic - ✔✔Names for classifying polynomials by degrees
✔✔1- monomial
2- binomial
3- trinomial
4+- polynomial - ✔✔Names for classifying polynomials by number of terms
✔✔no fractional exponents
no negative exponents (no variables in denominator)
Standard form has terms listed from highest degree to lowest degree -
✔✔Characteristics of a polynomial
✔✔a zero with an even multiplicity with bounce/touch the x-axis, while a zero with odd
multiplicity will cross through the x-axis. - ✔✔How does multiplicity shape a graph?
✔✔highest degree even -> left & right end behaviors match
highest degree odd -> left & right end behaviors are opposite
Leading coefficient positive -> right end behavior goes up (+infinity)
Leading coefficient negative -> right end behavior goes down (-infinity) - ✔✔How to
determine end behavior of a polynomial?
QUESTIONS WITH ANSWERS GRADED A+
✔✔30's adjacent leg is sqrt3; 60's adjacent leg is 1, and the hypotenuse is 2 - ✔✔30-60-
90 right triangle
✔✔two legs are 1, and the hypotenuse is sqrt of 2. - ✔✔45 - 45 - 90 right triangle
✔✔"Bottom heavy y = 0
"Top heavy no horizontal asymptote
"divide the leading coefficients y = # - ✔✔rules for horizontal asymptotes!
✔✔A factor in both the denominator and the numerator equals zero is a hole, but a
factor in only the denominator that equals zero is a vertical asymptote - ✔✔difference
between hole and vertical asymptotes
✔✔0 - constant
1 - linear
2 - quadratic
3 - cubic
4 - quartic
5 - quintic - ✔✔Names for classifying polynomials by degrees
✔✔1- monomial
2- binomial
3- trinomial
4+- polynomial - ✔✔Names for classifying polynomials by number of terms
✔✔no fractional exponents
no negative exponents (no variables in denominator)
Standard form has terms listed from highest degree to lowest degree -
✔✔Characteristics of a polynomial
✔✔a zero with an even multiplicity with bounce/touch the x-axis, while a zero with odd
multiplicity will cross through the x-axis. - ✔✔How does multiplicity shape a graph?
✔✔highest degree even -> left & right end behaviors match
highest degree odd -> left & right end behaviors are opposite
Leading coefficient positive -> right end behavior goes up (+infinity)
Leading coefficient negative -> right end behavior goes down (-infinity) - ✔✔How to
determine end behavior of a polynomial?
