Shapes Worksheet for Maths Olympiad Class 4
How to solve it (Know the shape numbers): Sides: triangle 3, square and rectangle 4, pentagon 5, hexagon 6, octagon 8. A flat shape has as many corners as sides. Several of one shape: multiply (3 triangles → 3 × 3 = 9 sides). Two kinds of shape: work each out, then add. A cube has 6 faces, 12 edges and 8 corners.
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- 1.How many corners do 2 rectangles and 1 square have altogether? (a) 8 (b) 3 (c) 4 (d) 12
- 2.How many sides do 5 pentagons and 3 rectangles have altogether? (a) 35 (b) 25 (c) 12 (d) 37
- 3.How many sides do 3 triangles and 4 rectangles have altogether? (a) 24 (b) 9 (c) 25 (d) 16
- 4.How many sides do 1 octagon and 4 squares have altogether? (a) 24 (b) 8 (c) 16 (d) 36
- 5.How many corners do 5 cubes have altogether? (a) 40 (b) 30 (c) 8 (d) 60
- 6.How many corners do 1 hexagon and 2 triangles have altogether? (a) 12 (b) 15 (c) 3 (d) 6
- 7.How many corners do 4 hexagons and 4 octagons have altogether? (a) 56 (b) 24 (c) 8 (d) 32
- 8.How many sides do 3 pentagons and 1 rectangle have altogether? (a) 15 (b) 4 (c) 17 (d) 19
- 9.How many sides do 3 hexagons and 5 rectangles have altogether? (a) 20 (b) 42 (c) 18 (d) 38
- 10.How many sides do 4 squares and 5 triangles have altogether? (a) 16 (b) 31 (c) 15 (d) 32
- 11.How many corners do 1 square and 1 octagon have altogether? (a) 4 (b) 12 (c) 8 (d) 2
- 12.How many sides do 4 rectangles and 3 octagons have altogether? (a) 16 (b) 24 (c) 44 (d) 40
- 13.How many faces do 4 cubes have altogether? (a) 24 (b) 48 (c) 32 (d) 6
- 14.How many corners do 1 hexagon and 4 triangles have altogether? (a) 12 (b) 6 (c) 18 (d) 27
- 15.How many sides do 2 hexagons and 4 squares have altogether? (a) 16 (b) 32 (c) 12 (d) 28
- 16.How many sides do 3 octagons and 2 hexagons have altogether? (a) 24 (b) 12 (c) 34 (d) 36
- 17.How many sides do 4 hexagons and 4 pentagons have altogether? (a) 24 (b) 8 (c) 44 (d) 20
- 18.How many corners do 5 pentagons and 5 squares have altogether? (a) 45 (b) 25 (c) 20 (d) 10
- 19.How many sides do 4 triangles and 4 squares have altogether? (a) 16 (b) 28 (c) 12 (d) 8
- 20.How many faces do 3 cubes have altogether? (a) 6 (b) 24 (c) 18 (d) 36
- 21.How many corners do 4 squares and 1 triangle have altogether? (a) 16 (b) 3 (c) 5 (d) 19
- 22.How many sides do 1 square and 4 triangles have altogether? (a) 4 (b) 16 (c) 12 (d) 19
- 23.How many edges do 4 cubes have altogether? (a) 12 (b) 32 (c) 48 (d) 24
- 24.How many corners do 3 squares and 2 triangles have altogether? (a) 6 (b) 12 (c) 18 (d) 17
- 25.How many sides do 5 triangles and 4 rectangles have altogether? (a) 31 (b) 15 (c) 16 (d) 32
- 26.How many sides do 5 triangles and 2 squares have altogether? (a) 15 (b) 26 (c) 8 (d) 23
- 27.How many sides do 2 triangles and 3 squares have altogether? (a) 17 (b) 18 (c) 6 (d) 12
- 28.How many sides do 3 rectangles and 5 hexagons have altogether? (a) 12 (b) 38 (c) 42 (d) 30
- 29.How many edges do 2 cubes have altogether? (a) 16 (b) 24 (c) 25 (d) 12
- 30.How many corners do 2 pentagons and 2 squares have altogether? (a) 18 (b) 8 (c) 10 (d) 4
- 31.How many sides do 4 pentagons and 5 hexagons have altogether? (a) 30 (b) 50 (c) 49 (d) 20
- 32.How many corners do 2 pentagons and 5 hexagons have altogether? (a) 37 (b) 40 (c) 30 (d) 10
- 33.How many sides do 3 hexagons and 1 triangle have altogether? (a) 21 (b) 18 (c) 3 (d) 15
- 34.How many corners do 4 hexagons and 4 pentagons have altogether? (a) 24 (b) 8 (c) 20 (d) 44
- 35.How many corners do 2 pentagons and 5 octagons have altogether? (a) 40 (b) 50 (c) 41 (d) 10
- 36.How many corners do 4 squares and 5 octagons have altogether? (a) 16 (b) 52 (c) 40 (d) 56
- 37.How many sides do 2 pentagons and 2 triangles have altogether? (a) 10 (b) 6 (c) 4 (d) 16
- 38.How many corners do 1 triangle and 1 hexagon have altogether? (a) 2 (b) 9 (c) 6 (d) 3
- 39.How many corners do 2 pentagons and 4 triangles have altogether? (a) 26 (b) 22 (c) 12 (d) 10
- 40.How many corners do 1 hexagon and 2 pentagons have altogether? (a) 10 (b) 6 (c) 17 (d) 16
Answer key
- 12
- 37
- 25
- 24
- 40
- 12
- 56
- 19
- 38
- 31
- 12
- 40
- 24
- 18
- 28
- 36
- 44
- 45
- 28
- 18
- 19
- 16
- 48
- 18
- 31
- 23
- 18
- 42
- 24
- 18
- 50
- 40
- 21
- 44
- 50
- 56
- 16
- 9
- 22
- 16
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