SmarTest, v1

By Christopher Kavanagh

The authoring environment for Leaving Certificate mathematics.

One editor for papers, worksheets, and class notes. Each figure is computed from the equation or constraints in the question; the marking scheme is generated alongside.

Book a demo See how it works

Fig. 01 / Specimens

f(x) = x³ - 3x + 1g(x) = -x³ + 2x

f(x) = sin(x)f(x) = cos(x)

f(x) = x² - 2f(x) = -x² + 3

f(x) = ln(x)f(x) = e^(-x)

∫ f(x) dxe^(iπ) + 1 = 0a² + b² = c²lim x→∞∑ x_ndy/dx√(1 - x²)P(A|B)sin²θ + cos²θ = 1ℝ, ℚ, ℤ, ℕf⁻¹(x)∇ · Fπ ≈ 3.14159Δy/Δxn! = n(n-1)!matrix multiplication∀ε > 0|z| = √(a² + b²)∫ f(x) dxe^(iπ) + 1 = 0a² + b² = c²lim x→∞∑ x_ndy/dx√(1 - x²)P(A|B)sin²θ + cos²θ = 1ℝ, ℚ, ℤ, ℕf⁻¹(x)∇ · Fπ ≈ 3.14159Δy/Δxn! = n(n-1)!matrix multiplication∀ε > 0|z| = √(a² + b²)

years

of SEC papers indexed (2017 →)

sub-topics

across the HL syllabus

primitives

in the figure studio

Plate 02Proof

From question to marking scheme.

The figure is computed from the question. The marking scheme comes with it.

Question sourceQ3(b), 10 marks

Let f(x) = x³ - 3x + 1.
Find the turning points of f and sketch the curve.

Rendered, marked, printed

Plate 02 / Marking scheme10 marks

- f'(x) = 3x² - 3 (2)

- solve 3x² - 3 = 0 ⇒ x = ±1 (3)

- (-1, 3) local max (2)

- (1, -1) local min (2)

- sketch, shape correct (1)

Plate 03What it does

What's in the toolset.

For Leaving Cert teachers. Plots, diagrams, and marking schemes are generated from the questions you write, and the SEC archive going back to 2017 is indexed by topic.

Function plotter

Every curve from its equation.

Type f(x) = (x-2)(x+1)², get a printable cubic. Polynomial, rational, trig, exponential, logarithmic, surd, absolute-value.

Diagram builder

Diagrams built from the numbers you give.

State “triangle ABC, |AB| = 12 cm, angle C = 90°, find |AC|”. The figure comes out of those values.

Marking scheme

Generated from source.

Each question carries a marking scheme with part allocations that sum to the header total.

(a) differentiate (2)

(b) set f' = 0 (3)

(d) classify TPs (2)

(e) sketch (1)

total 0

SEC-indexed library

Past questions, searchable by topic.

Every SEC paper since 2017, indexed by topic and sub-part. Original marking schemes attached.

YearQTopic

2023 HL P1Q3calculus

2022 HL P1Q4calculus

2021 HL P1Q5calculus

2019 HL P1Q3calculus

2018 HL P1Q4calculus

Worksheets & notes

Worksheets, warm-ups, class notes.

Ten-minute warm-ups, revision sheets, or sets of class notes — authored with the same tools as a full paper.

Plate 04Coverage

Every Leaving Cert topic.

Algebra, calculus, vectors, statistics, hypothesis testing. Higher level only for now.

Algebra

Polynomials

Linear systems

Quadratics

Inequalities

Surds

Indices

Functions and calculus

Cubics

Rationals

Exponentials

Logarithms

Derivatives

Integrals

Geometry and trig

Triangles

Circles

Vectors

Trigonometric identities

Sine rule

3D geometry

Probability, stats, complex

Distributions

Hypothesis tests

Regression

Argand diagrams

De Moivre

Moduli

Plate 05Keyboard

Most actions have a shortcut.

Common actions have direct keys. The command palette opens everything else by name. Mouse still works.

⌘K

Command palette

⌘↵

Generate paper

gd

Jump to dashboard

⌘S

Save figure

⌘Z

Undo anything

Plate 06Get started

Bring SmarTest to your department.

Pick a topic and book a slot. We'll walk through a real paper, with time at the end for any questions.

Contact for pricing Book a demo