SmarTest, v1
By Christopher Kavanagh

The authoring environment for Leaving Certificate mathematics.

Compose papers, worksheets and class notes in a single tool. Every function is plotted from its equation, every diagram constructed from its constraints, every marking scheme computed from the source. You write the question, SmarTest renders the rest.

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Live from the figure studio

Angle of elevation, drawn the way teachers draw it.

Ground plane, vertical, sight-line, labelled angle. The observer position, distance, and height are all tunable knobs in the studio. Same engine ships with every paper.

See more primitives
-5-4-3-2-112345-5-4-3-2-112345xf(x)(-1, 3)(1, -1)
Question sourceQ3(b), 10 marks
Let f(x) = x³ - 3x + 1.
Find the turning points of f and sketch the curve.
Rendered, marked, printed
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)
01 What it does

Plot, construct, mark, search, share.

Built for Leaving Cert maths teachers. Every figure is computed from its equation. Every marking scheme is tied to its question. Every past paper since 2017 is indexed.

01   Function plotter

Every curve from its equation.

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

-5-4-3-2-112345-4-3-2-11234xy(-1, 0)(2, 0)
02   Diagram builder

Diagrams built from the numbers you give.

State “triangle ABC, |AB| = 12 cm, angle C = 90°, find |AC|”. The figure is constructed from those values. Change a number, the figure updates.

12 cm9 cm15 cmABC
03   Marking scheme

Generated from source.

Every question produces a marking scheme with part allocations that sum correctly. Edit the question, the scheme updates.

(a) differentiate (2)
(b) set f' = 0 (3)
(c) evaluate endpts (2)
(d) classify TPs (2)
(e) sketch (1)
total 10
04   SEC-indexed library

Past questions, searchable by topic.

Every State Examinations Commission paper since 2017, indexed by topic and sub-part, with original marking schemes attached.

YearQTopic
2023 HL P1Q3calculus
2022 HL P1Q4calculus
2021 HL P1Q5calculus
2019 HL P1Q3calculus
2018 HL P1Q4calculus
05   Worksheets & notes

Same system, shorter format.

Compose a ten-minute class warm-up, a revision sheet, or a set of guided notes, using the same primitives as a full mock paper.

02 Workflow

Draft, review, publish.

Three steps from a topic list to a printed paper and marking scheme.

01, draft

Pick topics, get a draft.

Choose topic, level, and length. A full question set comes back. Edit any part in place.

02, review

Check every figure.

Each plot, diagram, and marking scheme sits beside the equation or constraints that produced it.

03, publish

Print, share, or post.

Export the paper and marking scheme as PDFs. Share a read-only link with colleagues. Post to your VLE.

03 Get started

Bring SmarTest to your department.

Book a short slot, pick one of your topics, and see a real paper walked through end to end. Time at the end for any question.