Counting sides and elements is one of the most under-rated non-verbal reasoning skills in GL-style 11+ papers. Whether a question asks your child to continue a series, complete a matrix, or pick the odd one out, the underlying rule is very often a hidden count — the number of sides on a shape, the number of dots inside it, the intersections where lines cross, or the separate regions a figure is cut into. NVR rewards method over talent more than any other 11+ subject, and children who learn to interrogate a figure systematically routinely overtake "naturally spatial" classmates who rely on a quick glance and a guess.
Why counting sits underneath so many NVR types
Counting is rarely a question type in its own right on a GL paper; instead it is the mechanism that drives the more famous families. A series question might add one side to a polygon each step (triangle, square, pentagon, hexagon). A matrix might increase the number of internal dots along each row and change the shading down each column. An analogy (shape A is to B as C is to ?) may double the number of small elements. If your child can count sides, dots, lines, intersections and enclosed regions reliably and quickly, a large slice of the reasoning paper turns from guesswork into arithmetic. That is why we treat counting as a foundation skill on our revision hub rather than a niche trick.
The five things worth counting
Before your child decides what the rule is, they should scan the figure for the attributes that most commonly change. Counting cleanly means knowing exactly what you are counting:
- Sides / edges — the number of straight edges on a polygon (a common series rule: +1 side per step).
- Elements / small shapes — how many separate items sit inside or around the main figure (dots, stars, arrows, mini-shapes).
- Intersections — the points where lines cross one another; dense line figures are built around these.
- Enclosed regions — the separate closed areas a figure is divided into, which change when a line is added or removed.
- Lines of symmetry — a count in disguise, and one that ties counting to reflection questions.
A step-by-step counting method
The single biggest cause of lost marks here is not misunderstanding the rule — it is miscounting under time pressure. Teach this fixed routine so counting becomes automatic:
- Pick a start point and a direction. Always count clockwise from the top, every time, so you never lose your place.
- Mark as you go. With a pencil, tick each side or dab each dot the moment you count it. For enclosed regions, lightly shade each area as you tally it.
- Count once, then verify. On anything above six elements, count a second time before trusting the number. Never accept a first-glance count on a busy figure.
- Compare across the row and the column. In a matrix, count the same attribute in each cell and look for the arithmetic pattern in both directions before choosing.
- Predict, then match. Work out the count the answer should have, then find the option with exactly that number rather than eyeballing the whole picture.
The classic traps
Examiners design counting questions with deliberate red herrings. The most frequent trap is double-counting a shared side where two shapes touch, or a line that serves as the edge of two regions at once. Close behind is missing a tiny region tucked inside a dense figure, or overlooking an element that is the same colour as the background. A third trap is the simultaneous change: the number of sides stays the same but the number of dots increases, and a child who spots only the first pattern picks a distractor that matches sides but not dots. The cure for all three is the same — mark every element as you count, and always check a second attribute before committing.
| Trap | What goes wrong | Fix |
|---|---|---|
| Double-counting | A shared edge or line counted twice | Tick each edge once with a pencil |
| Missed region | A small enclosed area overlooked | Shade each region as you tally |
| Background blend | An element the same shade as the paper | Trace the outline before counting |
| Second change | Only the obvious attribute is spotted | Always count two attributes, not one |
Timing: a realistic budget
GL non-verbal papers are tightly timed at roughly 35 to 50 seconds per question, with a separate multiple-choice answer sheet. A careful count plus a verify takes time, so speed comes from a clean routine, not from rushing. If a busy figure resists a first count, mark your best answer, flag it, and return — a skip-and-return habit protects the easy marks further down the paper. Getting the harder counting items right also lifts the Standardised Age Score (SAS), which is age-adjusted so younger children in the year group are not disadvantaged.
How to practise this type
Work in short, focused bursts of ten questions, then mark together and review every error out loud — ask "what did I miscount?" rather than just noting right or wrong. Our free NVR worksheet sets isolate each counting-driven pattern, the full NVR types list maps how counting feeds series, matrices and analogies, and timed mock papers knit the types back together at real exam pace. For a wider picture of the GL format, our GL papers guide and exam guides explain the answer-sheet mechanics.
Frequently asked questions
Is counting sides and elements a separate NVR question type?
Not usually. It is the hidden mechanism behind series, matrix, analogy and odd-one-out questions, so a reliable counting routine improves your child's score across many types at once.
How can my child stop miscounting under time pressure?
Always count clockwise from the top, mark each element with a pencil as it is counted, and re-count anything above six items before choosing. Marking, not memory, is what prevents mistakes.
How long should each NVR question take?
On a GL paper, budget roughly 35 to 50 seconds per question. If a figure is too dense to count quickly, flag it, take your best answer, and come back at the end.