Space and geometry
Test an angle-sum fact (straight line, point, or triangle), a property of a named 2D/3D shape, a symmetry count, or simple coordinate/grid reading.
Angle facts worth memorising
Three facts cover almost every angle question at this level: angles on a straight line add to 180°, angles around a point add to 360°, and the three angles inside any triangle add to 180°. Nearly every "find the missing angle" question is just one of these three facts in disguise.
Worked example: Two angles sit on a straight line. One is 70°. The other is 180° − 70° = 110°.
Shapes and symmetry
A shape has a line of symmetry if you can fold it so both halves match exactly. Regular shapes (all sides and angles equal) have one line of symmetry for every side — a regular pentagon has 5, a regular hexagon has 6.
How to attack this question type
- 1
Before calculating, decide WHICH rule applies: straight line (180°), full turn (360°), or triangle (180°). Getting this choice right is most of the question.
- 2
To count lines of symmetry, imagine folding the shape in every direction — through opposite corners AND through the midpoints of opposite sides. Both count.
- 3
Learn the polygon names by side count: triangle (3), quadrilateral (4), pentagon (5), hexagon (6), octagon (8) — a question naming a shape is testing whether you know this.
- 4
On a coordinate grid, the first number always tells you how far ACROSS, and the second how far UP — "along the corridor, then up the stairs."
- 5
A right angle is exactly 90°. Acute is smaller than that, obtuse is bigger than 90° but less than 180°, reflex is bigger than 180°.
Practice · untimed
Two angles lie on a straight line. One of them is 125°. What is the other angle?
More in Mathematics
Fractions, decimals and percentages
Test equivalence and conversion between fractions, decimals and percentages, or a simple operation using them (a percentage discount or increase, a fraction of an amount).
Measurement
Ask for the area, perimeter, volume/capacity, or a unit conversion of a simple rectangular or prism shape, framed with everyday context (a garden bed, a water tank).
Statistics and probability
Ask for a mean, median, mode, a value read from a simple graph or table, or a simple probability written as a fraction.