Test Time Per Question Calculator
Compute the average minutes you can spend per question on a timed test from the total test length, the number of questio...
Everyday arithmetic, algebra, and geometry — worked out clearly.
Percentages, fractions, ratios, geometry, and the little calculations that come up all the time — with formulas you can reuse anywhere.
Compute the average minutes you can spend per question on a timed test from the total test length, the number of questio...
Compute the paired-samples t-statistic from the mean of the paired differences (d̄), the standard deviation of those dif...
Convert a complex number from polar form r∠θ (with θ in degrees) to rectangular form a + b·i, where a = r·cos(θ) and b =...
Compute the standard logistic / sigmoid function σ(x) = 1 / (1 + e^(−x)) — the canonical S-shaped activation function an...
Compute sin(A+B), cos(A+B), and tan(A+B) from two angles A and B (in degrees), using the angle-addition identities sin(A...
Convert betting odds expressed as "X to Y for the event" into the implied probability of the event occurring, with the c...
Compute Pearson's product-moment correlation r directly from streaming sums Σx, Σy, Σxy, Σx², Σy², and sample size n. r...
Compute the multinomial coefficient C(n; k₁, k₂, k₃) = n! / (k₁! · k₂! · k₃!), where n = k₁ + k₂ + k₃. This counts the d...
Compute the closed-form sum of the first n positive cubes: 1³ + 2³ + ⋯ + n³ = (n·(n+1)/2)² = (Σk)². Note that the sum of...
Compute the Spearman rank-order correlation coefficient ρ from the sum of squared rank differences and the number of pai...
Compute the Akaike (AIC) and Bayesian (BIC) information criteria for model comparison from a fitted model's log-likeliho...
Compute the projection of vector a onto vector b in 3-D: proj_b a = (a · b / |b|²) · b. Reports the scalar projection co...
Compute the Euclidean distance between two points in 3D space, given their (x, y, z) coordinates.
Compute the volume of a spherical cap (the portion of a sphere cut off by a plane) from the sphere's radius and the cap'...
Compute the circumradius R of a triangle from its three side lengths a, b, c: R = abc / (4·area), where area is computed...
Multiply two complex numbers in rectangular form, returning the real and imaginary parts of the product, plus its modulu...
Compute the central angle subtended at the centre of a circle by an arc of given arc length, using the radius: θ_radians...
Compute the population standard deviation of grouped data from up to six (midpoint, frequency) pairs. First computes x̄...
Compute the sample skewness — the third standardized moment of a distribution — from the centred third moment m₃ = E[(X...
Compute the n-th Catalan number C_n = (2n)! / ((n+1)! · n!). C_n counts non-crossing handshakes of 2n people, balanced p...
Compute the log-odds (logit) of a probability p: logit(p) = ln(p/(1−p)). The logit maps (0,1) to (−∞, +∞) and is the inv...
Compute the Gini coefficient of income inequality from the cumulative income shares of the five population quintiles. Af...
Estimate weekly study hours required for a college course load using the rule of thumb that each credit hour requires 2–...
Compute the sum of the first n terms of a geometric series with first term a and common ratio r: S_n = a · (1 − rⁿ) / (1...