Free practice on Patterns and Solid Shapes for Class 6, following the Cameroon primary school curriculum (English subsystem). Every answer is explained, so a parent who is not sure of the answer can still help.
Look at how each term changes from the last. Addition/subtraction? Multiplication? A formula? Try to describe the rule in words, then in numbers.
| Pattern | Rule | Next |
|---|---|---|
| 1, 4, 9, 16, 25, … | squares (n²) | 36 |
| 1, 1, 2, 3, 5, 8, … | Fibonacci — add last two | 13 |
| 2, 6, 12, 20, 30, … | n(n+1) or +4,+6,+8… | 42 |
A NET is a flat pattern that folds into a solid. A cube's net has 6 squares. A cuboid's net has 6 rectangles (opposite pairs equal). A cylinder unfolds into a rectangle + 2 circles.
| Solid | Net |
|---|---|
| Cube | 6 squares |
| Cuboid | 6 rectangles |
| Cylinder | 1 rectangle + 2 circles |
| Cone | 1 curved sector + 1 circle |
| Prism (triangular) | 2 triangles + 3 rectangles |
For any solid with flat faces: F + V − E = 2. Cube: 6 + 8 − 12 = 2 ✓. Cuboid: 6 + 8 − 12 = 2 ✓. Pyramid (square base): 5 + 5 − 8 = 2 ✓.
| Solid | F | V | E | F+V−E |
|---|---|---|---|---|
| Cube | 6 | 8 | 12 | 2 |
| Cuboid | 6 | 8 | 12 | 2 |
| Tetrahedron | 4 | 4 | 6 | 2 |
| Square pyramid | 5 | 5 | 8 | 2 |
How many faces does a cube have?
Write your answer, then check below.
Answer: 6
Which solid shape has 2 flat circular faces and 1 curved face?
Answer: B. cylinder
A tin of milk is a cylinder.
Continue the pattern: 1, 4, 9, 16, ___
Answer: C. 25
These are square numbers: 1², 2², 3², 4², 5² = 25.
Which solid shape has NO flat face at all?
Answer: D. sphere
A sphere (like a ball) is curved all round.
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