: Work through problems step-by-step without looking at the answer key. If you get stuck, only look at the next immediate step rather than the full solution to build problem-solving resilience.
Spatial reasoning and formula recall are critical for these problems.
| Concept | Formula | | :--- | :--- | | Circumference of a circle | ( C = 2\pi r = \pi d ) | | Area of a circle | ( A = \pi r^2 ) | | Sum of interior angles (n-sided polygon) | ( 180(n-2) ) degrees | | Measure of each interior angle (regular n-gon) | ( \frac(n-2)180n ) | | Measure of each exterior angle (regular n-gon) | ( \frac360n ) | | Lateral surface area of a cylinder | ( A = 2\pi r h ) |
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: Operations, determinants, and applications in linear systems.
Don't just passively read. Use these active study methods to supercharge your learning:
| Topic | Formula | | :--- | :--- | | | m = (y₂ - y₁) / (x₂ - x₁) | | Distance | d = √[(x₂ - x₁)² + (y₂ - y₁)²] | | Quadratic Formula | x = [-b ± √(b² - 4ac)] / (2a) | | Discriminant | D = b² - 4ac (D>0: 2 real; D=0: 1 real; D<0: imaginary) | | Area of Triangle (Heron's) | A = √[s(s-a)(s-b)(s-c)] where s = (a+b+c)/2 | | Sum of Arithmetic Series | S_n = n/2 * (first + last) | | Sum of Geometric Series | S_n = a(1 - rⁿ) / (1 - r) | | Permutation | nPr = n! / (n-r)! | | Combination | nCr = n! / [r!(n-r)!] | | Log Property | log_b (x/y) = log_b x - log_b y | | Trig Identity | sin²θ + cos²θ = 1 | : Work through problems step-by-step without looking at
Which (e.g., geometry, combinations, algebra) give you the most trouble? What is your target score for your next tournament?
Identify arithmetic and geometric progressions. Master the formulas for the -th term and the sum of a series.
Unlike the Number Sense (mental math) or Calculator Applications tests, General Math is a standard written exam. It tests your knowledge of mathematical concepts, problem-solving ability, and attention to detail. | Concept | Formula | | :--- |
These questions separate the top 10% from the top 3%.
Rules for adding/subtracting logs and solving exponential equations. Probability & Statistics: Combinations ( nCrn cap C r ), Permutations ( nPrn cap P r ), and mean/median/mode/range. Trigonometry: The Unit Circle and basic identities ( 3. High-Level Competition Strategies The "Three-Pass" System
Expect heavy computation involving fractions, decimals, percentages, and scientific notation.