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 5 hexagons and 1 octagon have altogether? (a) 30 (b) 38 (c) 46 (d) 8
- 2.How many corners do 2 octagons and 4 pentagons have altogether? (a) 20 (b) 16 (c) 36 (d) 42
- 3.How many sides do 5 octagons and 5 triangles have altogether? (a) 55 (b) 10 (c) 15 (d) 40
- 4.How many corners do 4 cubes have altogether? (a) 8 (b) 32 (c) 24 (d) 48
- 5.How many faces do 2 cubes have altogether? (a) 12 (b) 6 (c) 16 (d) 24
- 6.How many sides do 5 pentagons and 3 triangles have altogether? (a) 25 (b) 30 (c) 9 (d) 34
- 7.How many edges do 4 cubes have altogether? (a) 32 (b) 24 (c) 48 (d) 12
- 8.How many corners do 4 hexagons and 2 squares have altogether? (a) 8 (b) 28 (c) 24 (d) 32
- 9.How many edges do 2 cubes have altogether? (a) 24 (b) 25 (c) 16 (d) 12
- 10.How many edges do 3 cubes have altogether? (a) 12 (b) 36 (c) 18 (d) 24
- 11.How many edges do 5 cubes have altogether? (a) 60 (b) 12 (c) 30 (d) 40
- 12.How many corners do 2 squares and 5 hexagons have altogether? (a) 8 (b) 32 (c) 38 (d) 30
- 13.How many sides do 1 triangle and 3 rectangles have altogether? (a) 13 (b) 3 (c) 15 (d) 12
- 14.How many corners do 1 rectangle and 2 squares have altogether? (a) 3 (b) 4 (c) 12 (d) 8
- 15.How many corners do 1 pentagon and 1 triangle have altogether? (a) 5 (b) 3 (c) 2 (d) 8
- 16.How many sides do 3 rectangles and 4 squares have altogether? (a) 12 (b) 16 (c) 7 (d) 28
- 17.How many corners do 1 hexagon and 2 pentagons have altogether? (a) 6 (b) 16 (c) 17 (d) 10
- 18.How many sides do 3 squares and 4 triangles have altogether? (a) 12 (b) 24 (c) 7 (d) 25
- 19.How many sides do 1 hexagon and 2 octagons have altogether? (a) 6 (b) 16 (c) 22 (d) 20
- 20.How many faces do 4 cubes have altogether? (a) 6 (b) 32 (c) 24 (d) 48
- 21.How many faces do 5 cubes have altogether? (a) 6 (b) 40 (c) 30 (d) 60
- 22.How many corners do 1 rectangle and 1 square have altogether? (a) 2 (b) 8 (c) 4 (d) 9
- 23.How many sides do 1 pentagon and 1 rectangle have altogether? (a) 5 (b) 9 (c) 4 (d) 2
- 24.How many sides do 4 rectangles and 3 octagons have altogether? (a) 16 (b) 24 (c) 40 (d) 44
- 25.How many corners do 2 octagons and 5 pentagons have altogether? (a) 16 (b) 41 (c) 25 (d) 50
- 26.How many sides do 5 triangles and 5 pentagons have altogether? (a) 40 (b) 10 (c) 25 (d) 15
- 27.How many corners do 3 squares and 1 hexagon have altogether? (a) 18 (b) 12 (c) 22 (d) 6
- 28.How many corners do 1 square and 4 octagons have altogether? (a) 32 (b) 4 (c) 24 (d) 36
- 29.How many corners do 2 hexagons and 1 octagon have altogether? (a) 12 (b) 20 (c) 8 (d) 22
- 30.How many corners do 4 squares and 5 octagons have altogether? (a) 16 (b) 56 (c) 52 (d) 40
- 31.How many corners do 4 squares and 1 pentagon have altogether? (a) 16 (b) 21 (c) 5 (d) 24
- 32.How many corners do 3 cubes have altogether? (a) 24 (b) 18 (c) 8 (d) 36
- 33.How many sides do 1 square and 2 rectangles have altogether? (a) 4 (b) 12 (c) 8 (d) 3
- 34.How many sides do 1 square and 2 octagons have altogether? (a) 4 (b) 20 (c) 16 (d) 3
- 35.How many corners do 4 octagons and 3 rectangles have altogether? (a) 40 (b) 12 (c) 32 (d) 44
- 36.How many corners do 5 hexagons and 2 squares have altogether? (a) 30 (b) 8 (c) 38 (d) 32
- 37.How many sides do 5 pentagons and 1 square have altogether? (a) 6 (b) 29 (c) 4 (d) 25
- 38.How many sides do 1 octagon and 5 rectangles have altogether? (a) 8 (b) 28 (c) 20 (d) 44
- 39.How many sides do 1 pentagon and 1 square have altogether? (a) 2 (b) 5 (c) 9 (d) 4
- 40.How many corners do 5 pentagons and 3 triangles have altogether? (a) 9 (b) 34 (c) 25 (d) 30
Answer key
- 38
- 36
- 55
- 32
- 12
- 34
- 48
- 32
- 24
- 36
- 60
- 38
- 15
- 12
- 8
- 28
- 16
- 24
- 22
- 24
- 30
- 8
- 9
- 40
- 41
- 40
- 18
- 36
- 20
- 56
- 21
- 24
- 12
- 20
- 44
- 38
- 29
- 28
- 9
- 34
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