Sides and corners, faces and edges, sorting quadrilaterals, symmetry, turning and flipping, counting squares of every size, inside or outside a twisty loop, which piece fills a gap, measuring angles, the parts of a circle, drawing shapes without lifting the pencil, which sticks make a triangle, a rectangle puzzle in a quarter circle, counting the painted faces of a cube taken apart, the gap under a loosened rope round the Earth, and whether dominoes can cover a board.
Practise counting sides and corners: tap every shape with 6 sides, or name a shape as a triangle, quadrilateral, pentagon or hexagon. With a video.
Practise faces, edges and vertices of 2D and 3D shapes, from squares to cones and pyramids. Four shapes each time, with a narrated solution video.
Practise quadrilateral properties: sort squares, rectangles, rhombuses and more into a diagram by right angles, equal sides and parallel sides.
Practise rotations and reflections with letters: the letter g is flipped left to right - what does it look like now? With a narrated solution video.
Practise counting squares of every size in a shape: a 3 by 3 grid holds 14, not 9. New shapes every time, with a narrated solution video.
Is the star inside the twisty loop? Draw a line to the edge and count the crossings: odd means inside. A new loop every time, with a video.
A grid of pieces with one gap: which 4-square piece fits? Turn the shapes in your head. A new puzzle every time, with a narrated video.
Practise line symmetry: tap squares on a grid to make a pattern symmetrical about the x-axis, the y-axis, or both. With a narrated solution video.
Practise transformations: a pattern is rotated 180° then 90° anticlockwise - which picture shows the result? One or two steps each time.
Practise measuring angles with a protractor: read acute and obtuse angles, and the angle between two arms. A new angle every time.
Practise spotting parallel and perpendicular lines at any angle: which of the four lines is parallel to the green one? A new picture every time.
Practise naming the parts of a circle: radius, diameter, chord, arc, sector, segment and circumference. A new picture every time.
Can this shape be drawn in one go? Count the lines at each corner: 0 or 2 odd corners means yes. Tap to trace it. With a narrated video.
Three sticks: do they make a triangle? The two shorter ones must add up to more than the longest. Free practice with a narrated video.
Practise visualising 3D objects: from the front and top views of a cube stack, which side view could it have? A new object every time.
A geometry puzzle: a rectangle's diagonal inside a quarter circle is just the radius. Spot the shortcut, new numbers every time, with a video.
A big cube is painted and taken apart: how many small cubes have paint on 3, 2, 1 or no faces? Layer-by-layer working and a video.
Make a tight string round a coin or the Earth a little longer: how big is the gap? Distance round is about 3 times across. With a video.
Two squares are cut from a board: can dominoes still cover it? Colour it like a chessboard and count. Yes or no, with a narrated video.
Practise angle reasoning in circles: two radii make an isosceles triangle - find the base angles or the angle at the centre. A new diagram every time.
A circle touches all three sides of a right triangle: find the hypotenuse, a side or the radius. New numbers every time, with a narrated solution video.