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 triangles and 1 hexagon have altogether? (a) 33 (b) 6 (c) 15 (d) 21
- 2.How many corners do 2 cubes have altogether? (a) 16 (b) 8 (c) 12 (d) 24
- 3.How many corners do 1 pentagon and 2 squares have altogether? (a) 5 (b) 8 (c) 14 (d) 13
- 4.How many sides do 3 triangles and 5 hexagons have altogether? (a) 33 (b) 30 (c) 9 (d) 39
- 5.How many corners do 1 pentagon and 3 squares have altogether? (a) 12 (b) 17 (c) 19 (d) 5
- 6.How many sides do 4 hexagons and 2 pentagons have altogether? (a) 34 (b) 10 (c) 24 (d) 32
- 7.How many faces do 4 cubes have altogether? (a) 48 (b) 32 (c) 24 (d) 6
- 8.How many corners do 1 rectangle and 3 hexagons have altogether? (a) 18 (b) 22 (c) 23 (d) 4
- 9.How many edges do 2 cubes have altogether? (a) 12 (b) 24 (c) 25 (d) 16
- 10.How many sides do 5 squares and 3 rectangles have altogether? (a) 20 (b) 8 (c) 32 (d) 12
- 11.How many corners do 2 hexagons and 5 octagons have altogether? (a) 40 (b) 12 (c) 52 (d) 46
- 12.How many corners do 5 cubes have altogether? (a) 8 (b) 40 (c) 30 (d) 60
- 13.How many edges do 4 cubes have altogether? (a) 32 (b) 24 (c) 12 (d) 48
- 14.How many corners do 4 squares and 1 hexagon have altogether? (a) 16 (b) 22 (c) 6 (d) 28
- 15.How many corners do 4 hexagons and 2 triangles have altogether? (a) 30 (b) 31 (c) 6 (d) 24
- 16.How many faces do 3 cubes have altogether? (a) 18 (b) 6 (c) 36 (d) 24
- 17.How many sides do 2 hexagons and 2 rectangles have altogether? (a) 8 (b) 12 (c) 4 (d) 20
- 18.How many sides do 1 square and 2 octagons have altogether? (a) 20 (b) 3 (c) 16 (d) 4
- 19.How many faces do 5 cubes have altogether? (a) 40 (b) 30 (c) 6 (d) 60
- 20.How many sides do 2 rectangles and 3 octagons have altogether? (a) 8 (b) 24 (c) 32 (d) 28
- 21.How many sides do 2 pentagons and 2 octagons have altogether? (a) 26 (b) 10 (c) 4 (d) 16
- 22.How many corners do 1 octagon and 3 squares have altogether? (a) 12 (b) 28 (c) 20 (d) 8
- 23.How many corners do 4 rectangles and 4 octagons have altogether? (a) 8 (b) 48 (c) 32 (d) 16
- 24.How many faces do 2 cubes have altogether? (a) 24 (b) 16 (c) 6 (d) 12
- 25.How many sides do 5 rectangles and 5 squares have altogether? (a) 41 (b) 40 (c) 10 (d) 20
- 26.How many sides do 2 squares and 3 hexagons have altogether? (a) 26 (b) 8 (c) 18 (d) 24
- 27.How many sides do 4 squares and 2 triangles have altogether? (a) 16 (b) 20 (c) 22 (d) 6
- 28.How many corners do 4 pentagons and 4 squares have altogether? (a) 8 (b) 20 (c) 16 (d) 36
- 29.How many corners do 3 pentagons and 5 hexagons have altogether? (a) 30 (b) 45 (c) 43 (d) 15
- 30.How many corners do 3 rectangles and 1 triangle have altogether? (a) 12 (b) 15 (c) 3 (d) 13
- 31.How many corners do 4 squares and 4 triangles have altogether? (a) 8 (b) 12 (c) 16 (d) 28
- 32.How many corners do 1 octagon and 5 rectangles have altogether? (a) 8 (b) 44 (c) 20 (d) 28
- 33.How many sides do 5 triangles and 1 octagon have altogether? (a) 8 (b) 15 (c) 43 (d) 23
- 34.How many sides do 2 pentagons and 2 squares have altogether? (a) 8 (b) 18 (c) 4 (d) 10
- 35.How many corners do 1 square and 2 triangles have altogether? (a) 11 (b) 10 (c) 4 (d) 6
- 36.How many corners do 5 triangles and 4 squares have altogether? (a) 32 (b) 15 (c) 16 (d) 31
- 37.How many sides do 3 pentagons and 5 triangles have altogether? (a) 30 (b) 8 (c) 34 (d) 15
- 38.How many corners do 2 hexagons and 5 rectangles have altogether? (a) 20 (b) 32 (c) 38 (d) 12
- 39.How many corners do 3 hexagons and 1 rectangle have altogether? (a) 4 (b) 23 (c) 18 (d) 22
- 40.How many corners do 2 hexagons and 5 pentagons have altogether? (a) 25 (b) 12 (c) 40 (d) 37
Answer key
- 21
- 16
- 13
- 39
- 17
- 34
- 24
- 22
- 24
- 32
- 52
- 40
- 48
- 22
- 30
- 18
- 20
- 20
- 30
- 32
- 26
- 20
- 48
- 12
- 40
- 26
- 22
- 36
- 45
- 15
- 28
- 28
- 23
- 18
- 10
- 31
- 30
- 32
- 22
- 37
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