What's inside.
A function plotter. A diagram builder. A marking-scheme generator. A past-paper index going back to 2017. A worksheet layout. One product, five jobs.
Every curve from its equation.
Type an equation. Get a printable plot: right roots, right turning points, right shape. No fiddling with point arrays, no graphing calculator, no broken PDFs.
Every function class on the LC syllabus.
Linear, quadratic, cubic, higher-degree polynomial, rational, trigonometric, exponential, logarithmic, surd, and absolute-value. Nested expressions like sin(2x) + x/3 plot correctly.
Output matches SEC paper style: same line weight, same grid spacing, same black-ink finish.
- DomainChosen automatically, or set by you
- RangeScaled so roots and turning points are visible
- LabelsRoots, turning points, asymptotes, holes on request
- OutputSVG on screen, PDF on export. No raster.
Diagrams built from the numbers you give.
You write the question. The figure is constructed from its lengths, angles, and constraints. Change a number, the figure updates.
Describe the shape. Coordinates are worked out.
Write “triangle inscribed in a circle, diameter AB, P on the circle”. The construction, the right angle at P, and the labelling follow from that description.
When a question has more than one valid layout, SmarTest picks the one that reads best at print size.
- ShapesPoint, line, segment, circle, arc, angle, polygon, locus
- ConstraintsLength, angle, tangency, perpendicularity, on-circle, equal-to
- LabelsSerif italic vertices, mono units, auto-offset to avoid overlap
- DeterminismThe same description produces the same figure, every time
Unit-circle proofs, cones, vector figures.
Drawn exactly the way SEC papers draw them. The primitives below are live renders; every teacher who opens the figure studio gets the same engine.
The same engine powers unit-circle proofs, scene-3D flagpole and elevation-angle questions, triangle-rule derivations, and every other SEC-style scaffold in the studio.
The marking scheme is not a separate document.
Every question in SmarTest carries its marking scheme as structured data. Edit the question, the scheme updates. Print the paper, the scheme prints alongside.
The totals never drift.
Every part has its own mark allocation and its own accepted solution. Edit a part, the total on the question header updates automatically.
SEC marking schemes have the same structure underneath. SmarTest makes it editable.
- PartsParts (a), (b), sub-parts (i), (ii), renumber automatically on edit
- Solution setAccepted final answer plus accepted intermediate forms
- TotalsEdit a part, the question header updates
- ExportSeparate PDF, same layout as the paper, answer key column on the right
Past questions, indexed by what they test.
Every Leaving Certificate mathematics paper since 2017, broken down by topic and sub-part. Find every exponential-growth question in ten seconds.
| Year | Paper | Q | Marks | Sub-topic |
|---|---|---|---|---|
| 2023 | P1 | Q6 | 25 | continuous compound |
| 2022 | P1 | Q5 | 20 | half-life |
| 2021 | P1 | Q7 | 30 | continuous compound |
| 2019 | P1 | Q5 | 25 | doubling time |
| 2018 | P1 | Q6 | 30 | population model |
| 2016 | P1 | Q5 | 20 | half-life |
Every SEC paper since 2017, tagged by topic.
Drop a past question into a new paper. The original marking scheme and wording are preserved. Change numbers, variable names, or context in place; the figure and scheme re-compute to match.
- CoverageEvery SEC paper, 2017 to present
- GranularityIndexed by question, part, and sub-part
- SearchBy topic, year, mark allocation, difficulty
- AdaptChange numbers or context, SmarTest re-solves the figure and scheme
Not only papers.
Warm-ups, revision sheets, topic-specific practice. Same tool, shorter formats.
Differentiation, ten minutes
- Differentiate f(x) = 3x² - 5x + 2.
- Find dy/dx where y = (2x + 1)³.
- For g(x) = x² ex, find g'(x).
- A particle moves with s(t) = t³ - 6t² + 9t. Find the time(s) when velocity is zero.
Same engine, shorter format.
A worksheet is a paper without the cover page. A set of class notes is a paper with the answers rendered inline. Pick the format; the inputs are the same.
- Warm-upsFive questions, ten minutes, one topic
- WorksheetsTopic-scoped practice, with or without a marking scheme
- NotesWorked examples, rendered inline, ready to hand out
- Class testsUnder an hour, custom mark totals, shareable answer key