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 sides do 4 triangles and 5 pentagons have altogether? (a) 12 (b) 35 (c) 25 (d) 37
- 2.How many corners do 5 triangles and 1 square have altogether? (a) 19 (b) 15 (c) 23 (d) 4
- 3.How many corners do 3 cubes have altogether? (a) 8 (b) 18 (c) 24 (d) 36
- 4.How many sides do 2 hexagons and 2 octagons have altogether? (a) 16 (b) 28 (c) 4 (d) 12
- 5.How many sides do 5 triangles and 1 octagon have altogether? (a) 15 (b) 23 (c) 8 (d) 43
- 6.How many sides do 1 hexagon and 3 octagons have altogether? (a) 26 (b) 6 (c) 24 (d) 30
- 7.How many sides do 2 rectangles and 2 pentagons have altogether? (a) 18 (b) 4 (c) 8 (d) 10
- 8.How many corners do 5 cubes have altogether? (a) 40 (b) 60 (c) 8 (d) 30
- 9.How many faces do 4 cubes have altogether? (a) 48 (b) 6 (c) 24 (d) 32
- 10.How many corners do 1 square and 1 rectangle have altogether? (a) 8 (b) 9 (c) 4 (d) 2
- 11.How many corners do 4 triangles and 1 rectangle have altogether? (a) 12 (b) 4 (c) 19 (d) 16
- 12.How many corners do 1 octagon and 5 squares have altogether? (a) 44 (b) 20 (c) 8 (d) 28
- 13.How many corners do 4 hexagons and 4 triangles have altogether? (a) 12 (b) 24 (c) 8 (d) 36
- 14.How many corners do 1 hexagon and 1 pentagon have altogether? (a) 6 (b) 2 (c) 5 (d) 11
- 15.How many sides do 1 octagon and 3 pentagons have altogether? (a) 15 (b) 23 (c) 8 (d) 29
- 16.How many corners do 5 octagons and 2 triangles have altogether? (a) 31 (b) 40 (c) 6 (d) 46
- 17.How many sides do 2 rectangles and 5 octagons have altogether? (a) 40 (b) 8 (c) 36 (d) 48
- 18.How many sides do 4 octagons and 1 rectangle have altogether? (a) 24 (b) 4 (c) 32 (d) 36
- 19.How many corners do 3 rectangles and 4 pentagons have altogether? (a) 31 (b) 32 (c) 20 (d) 12
- 20.How many sides do 2 squares and 3 octagons have altogether? (a) 28 (b) 8 (c) 32 (d) 24
- 21.How many corners do 4 rectangles and 4 pentagons have altogether? (a) 8 (b) 20 (c) 36 (d) 16
- 22.How many corners do 3 octagons and 1 square have altogether? (a) 24 (b) 4 (c) 20 (d) 28
- 23.How many corners do 4 triangles and 3 hexagons have altogether? (a) 12 (b) 30 (c) 33 (d) 18
- 24.How many edges do 2 cubes have altogether? (a) 12 (b) 16 (c) 24 (d) 25
- 25.How many corners do 4 pentagons and 5 hexagons have altogether? (a) 50 (b) 30 (c) 20 (d) 49
- 26.How many corners do 2 octagons and 3 triangles have altogether? (a) 9 (b) 16 (c) 25 (d) 30
- 27.How many corners do 2 rectangles and 1 pentagon have altogether? (a) 14 (b) 13 (c) 8 (d) 5
- 28.How many sides do 2 squares and 3 pentagons have altogether? (a) 22 (b) 8 (c) 15 (d) 23
- 29.How many corners do 3 squares and 4 triangles have altogether? (a) 7 (b) 25 (c) 12 (d) 24
- 30.How many sides do 2 triangles and 2 squares have altogether? (a) 4 (b) 14 (c) 8 (d) 6
- 31.How many faces do 2 cubes have altogether? (a) 24 (b) 6 (c) 12 (d) 16
- 32.How many sides do 2 pentagons and 1 octagon have altogether? (a) 8 (b) 18 (c) 21 (d) 10
- 33.How many sides do 3 squares and 2 triangles have altogether? (a) 17 (b) 6 (c) 12 (d) 18
- 34.How many corners do 5 rectangles and 3 pentagons have altogether? (a) 37 (b) 15 (c) 35 (d) 20
- 35.How many corners do 5 triangles and 3 rectangles have altogether? (a) 12 (b) 15 (c) 29 (d) 27
- 36.How many faces do 3 cubes have altogether? (a) 24 (b) 36 (c) 18 (d) 6
- 37.How many corners do 5 octagons and 1 rectangle have altogether? (a) 44 (b) 4 (c) 28 (d) 40
- 38.How many corners do 4 squares and 5 triangles have altogether? (a) 15 (b) 32 (c) 16 (d) 31
- 39.How many sides do 3 octagons and 3 rectangles have altogether? (a) 12 (b) 24 (c) 36 (d) 6
- 40.How many corners do 2 squares and 3 triangles have altogether? (a) 18 (b) 9 (c) 17 (d) 8
Answer key
- 37
- 19
- 24
- 28
- 23
- 30
- 18
- 40
- 24
- 8
- 16
- 28
- 36
- 11
- 23
- 46
- 48
- 36
- 32
- 32
- 36
- 28
- 30
- 24
- 50
- 25
- 13
- 23
- 24
- 14
- 12
- 18
- 18
- 35
- 27
- 18
- 44
- 31
- 36
- 17
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