Draw without lifting your pencil
A shape of straight lines, or the paths in a park, is drawn on a grid of dots. The student decides whether it can be drawn without lifting the pencil or going over a line twice, taps the two corners where the drawing must start and finish, or traces it by tapping the corners in order.
The rule is to count the lines meeting at each corner. Each time the pencil passes through a corner it uses two lines, so a corner with an odd number must be a start or a finish. With 0 or 2 odd corners it can be done; with 4 or more it can't. The working numbers each corner and shows one way to draw it.
Numbers&Me is free. Sign up to practise more, or set it as homework in under a minute, and it marks itself.
What changes each time
- A new shape every time, on a 3 by 3 or 3 by 4 grid
- A pencil drawing or a walk along park paths
- Yes or no, where to start and finish, or tracing it
More shapes and angles practice
- Sides and corners of 2D shapes (Grade 2)
- Faces, edges and vertices (Grade 3)
- Sorting quadrilaterals (Grade 3)
- Turning and flipping letters (Grade 3)
- Counting squares of every size (Grade 3)
- Inside or outside the loop (Grade 3)
- Which piece fills the gap? (Grade 3)
- Symmetry on a grid (Grade 4)
- Rotations and reflections (Grade 4)
- Reading a protractor (Grade 4)
- Parallel and perpendicular lines (Grade 4)
- Parts of a circle (Grade 4)
- Can these sticks make a triangle? (Grade 4)
- 3D shapes: side view (Grade 5)
- Rectangle in a quarter circle (Grade 5)
- Painted cube puzzle (Grade 5)
- Rope around the Earth (Grade 5)
- Can dominoes cover the board? (Grade 5)
- Angles in a circle (Grade 6)
- Inscribed circle in a right triangle (Grade 8)