MathBeasts Demo

Spot the beast behind a math error, fix it, and see why the fix works.

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MathBeasts
Denominator Danny

Sample student work

1/3 + 1/4
= (1 + 1)/(3 + 4)
= 2/7
  1. 1. Identify the beast
  2. 2. Fix the answer
  3. 3. Understand why
Which beast caused this error?

Complete MathBeasts catalog

39 beasts in five families

From the BeastScholar catalog. Track tags are proposed instructional mappings, not claims about any college’s requirements. Only Denominator Danny, Distributor Dee, One-Side Wes are playable on this site.

Showing 39 of 39

  • Place-Value PipInventory

    1|0 · Whole numbers & place value · Foundations

    Lines numbers up by their left-hand digits instead of by place value.

  • Rounding RogueInventory

    ≈ · Estimation & rounding · Foundations

    Rounds intermediate results, so the error compounds before the final answer.

  • Sign-Switch SamInventory

    ± · Signed numbers · Foundations

    Treats subtracting a negative as subtracting, and mis-signs products of negatives.

  • Denominator DannyPlayable sample

    a⁄b · Fractions · Foundations

    Adds the denominators when adding fractions with unlike denominators.

  • Decimal DriftInventory

    .0 · Decimals · Foundations

    Places the decimal point in a product by copying one factor's places.

  • Ratio RipperInventory

    a:b · Ratios & proportions · Foundations

    Reverses which quantity each part of a ratio describes.

  • Percent PhantomInventory

    % · Percentages · Foundations

    Converts a percent to a decimal by moving the point one place instead of two.

  • Order-of-Ops OllieInventory

    ( ) · Order of operations · Foundations

    Works strictly left to right, ignoring grouping and operation precedence.

  • Like-Term LarryInventory

    x+x² · Like terms · Algebra

    Combines terms with different powers as if they were like terms.

  • Distributor DeePlayable sample

    a(b+c) · Distribution · Algebra

    Multiplies only the first term inside the parentheses.

  • One-Side WesPlayable sample

    = · Equality & linear equations · Algebra

    Applies an operation to only one side of an equation.

  • Flip-Flop FionaInventory

    <> · Inequalities · Algebra

    Keeps the inequality direction after multiplying or dividing by a negative.

  • Exponent EzraInventory

    xⁿ · Exponents · Algebra

    Adds exponents when raising a power to a power.

  • Binomial BrunoInventory

    (a+b)² · Polynomials & factoring · Algebra

    Squares a sum term by term, dropping the middle term.

  • Canceling CarlInventory

    ⧸ · Rational expressions · Algebra

    Cancels a term that is added, rather than a common factor.

  • Root-Split RheaInventory

    √ · Radicals · Algebra

    Splits a square root across a sum.

  • Swap-Coord CoraInventory

    (x,y) · Coordinates · Functions & Graphs

    Plots (x, y) with the coordinates swapped.

  • Rise-Run RudyInventory

    Δy/Δx · Slope · Functions & Graphs

    Computes slope as run over rise.

  • Intercept IggyInventory

    ⊥ · Intercepts · Functions & Graphs

    Finds the x-intercept by setting x = 0.

  • Notation NedInventory

    f(x) · Functions · Functions & Graphs

    Reads f(x + 2) as f(x) + 2.

  • Half-Solve SullyInventory

    { } · Systems of equations · Functions & Graphs

    Reports one variable's value as the whole solution of a system.

  • Root-Drop QuillInventory

    ± · Quadratics · Functions & Graphs

    Keeps only the positive root when solving a squared equation.

  • Linear LyleInventory

    ×1.1 · Exponential growth · Functions & Graphs

    Treats a constant percent growth rate as adding a constant amount.

  • Log LarsInventory

    log · Logarithms · Functions & Graphs

    Treats the log of a sum as the sum of logs.

  • Unit UrsulaInventory

    m/s · Units & conversions · Quantitative Reasoning

    Combines measurements in different units without converting.

  • Rate ReggieInventory

    mi/h · Rates · Quantitative Reasoning

    Averages two speeds directly when the times differ.

  • Rate-Period PetraInventory

    APR · Financial math · Quantitative Reasoning

    Applies an annual interest rate to a single monthly period.

  • Markdown MortInventory

    ±% · Percent change · Quantitative Reasoning

    Assumes a percent increase and the same percent decrease cancel.

  • Area-Scale ArchieInventory

    k² · Geometry & measurement · Quantitative Reasoning

    Thinks scaling lengths by k scales area by k.

  • Trendline TrixieInventory

    ↗ · Modeling · Quantitative Reasoning

    Extends a model far beyond the data it was built from.

  • Magnitude MaxInventory

    10ⁿ · Reasonableness · Quantitative Reasoning

    Accepts an answer without noticing it is the wrong size.

  • Axis AxelInventory

    ▮▯ · Interpreting graphs · Statistics & Probability

    Reads bar heights on a truncated axis as proportional to the values.

  • Median MabelInventory

    x̃ · Center · Statistics & Probability

    Takes the middle value of an unsorted list as the median.

  • Spread SpencerInventory

    σ · Spread · Statistics & Probability

    Thinks bigger values mean more spread.

  • Gambler GusInventory

    ⚀ · Probability · Statistics & Probability

    Believes independent outcomes are 'due' after a streak.

  • Converse ConnieInventory

    P(A|B) · Conditional probability · Statistics & Probability

    Treats P(A | B) as if it were P(B | A).

  • Volunteer VeraInventory

    ✋ · Sampling & bias · Statistics & Probability

    Generalizes from a voluntary-response sample to a whole population.

  • Causal CalInventory

    r · Association & causation · Statistics & Probability

    Concludes causation from an observed correlation.

  • P-Value PenelopeInventory

    p · Statistical inference · Statistics & Probability

    Reads a p-value as the probability the null hypothesis is true.