If a tie occurs, the winner is determined by the person who missed the first problem and by their overall percent accuracy.
| Category | Formula / Concept | | :--- | :--- | | | Slope Formula: ( m = \fracy_2 - y_1x_2 - x_1 ) Point-Slope Form: ( y - y_1 = m(x - x_1) ) Slope-Intercept Form: ( y = mx + b ) Midpoint Formula: ( \left( \fracx_1+x_22, \fracy_1+y_22 \right) ) Distance Formula: ( \sqrt(x_2-x_1)^2 + (y_2-y_1)^2 ) Quadratic Formula: ( x = \frac-b \pm \sqrtb^2-4ac2a ) | | Geometry | Circle Area: ( A = \pi r^2 ) Circumference: ( C = 2\pi r ) or ( C = \pi d ) Sum of Interior Angles: ( (n-2) \times 180^\circ ) Each Interior Angle: ( \frac(n-2)180n ) Number of Diagonals: ( \fracn(n-3)2 ) Surface Area of a Cube: ( S = 6x^2 ) Surface Area of a Sphere: ( S = 4\pi r^2 ) | | Number Theory | Geometric Mean: ( \sqrtab ) Number of Subsets: ( 2^n ) (where n is the number of elements) Proper Subsets: ( 2^n - 1 ) Largest Unattainable Sum: ( mn - (m+n) ) (where m and n are two positive integers) | | Probability & Combinatorics | Permutations: ( _nP_r = \fracn!(n-r)! ) Combinations: ( _nC_r = \fracn!r!(n-r)! ) Sum of a Sequence: ( \fracn(\textfirst + \textlast)2 ) | | Triangles | 30-60-90 Triangle: Sides are in the ratio ( 1 : \sqrt3 : 2 ) 45-45-90 Triangle: Sides are in the ratio ( 1 : 1 : \sqrt2 ) Triangle Classification: Use the Pythagorean theorem (( c^2 = a^2 + b^2 )) to classify as right, acute, or obtuse | | Conversions | Time: Hours to minutes: Multiply by 60 Weight: Pounds to ounces: Multiply by 16 Percentages: Decimal to percent: Multiply by 100; Percent to decimal: Divide by 100 Area: Square miles to acres: Multiply by 640 Length: Miles to yards: Multiply by 1760 Volume: Gallons to cups: Multiply by 16 |
Spend 2 weeks learning the formulas for your circled topics using textbooks or online math resources. Build pacing
The most effective way to prepare is to simulate the actual test-taking experience. Seek out official past TMSCA tests or high-quality practice materials. Your school team's coach may also have access to resources. General Math Tmsca Study Guide
What is 35% of 240? A) 72 B) 84 C) 96 D) 108 Solution: 0.35 × 240 = 84 → B
: Channels like YouTube offer step-by-step solutions for recent TMSCA Regional and State tests .
Calculate the likelihood of single and independent compound events. If a tie occurs, the winner is determined
Use a non-programmable watch to keep track of your "Pass" intervals.
To help students prepare for the General Math TMSCA competition, we recommend the following study resources:
Determined by percent accuracy first, then by the "first problem missed" (excluding skips). Core Content Domains ) Sum of a Sequence: ( \fracn(\textfirst +
Texas Math and Science Coaches Association (TMSCA) competitions challenge students to push past standard classroom curriculums. The General Math event stands out as a true test of speed, accuracy, and broad mathematical knowledge. Unlike targeted subject tests, General Math spans multiple disciplines, forcing competitors to pivot quickly from geometry to number theory.
To take your preparation to the next level, you need quality practice materials.
Algebra questions scale up in difficulty as you progress through the test.
Look at the multiple-choice options before solving. Sometimes, estimating or checking the units digit of the answer choices can eliminate three or four options without requiring you to do the full calculation.