Shapes and their symmetries: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a nonsquare rhombus.
How many lines of symmetry does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider an equilateral triangle.
How many lines of symmetry does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider an equilateral triangle.
Find its order of rotational symmetry.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a regular pentagon.
Find its order of rotational symmetry.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a regular pentagon.
Find its interior-angle sum in degrees.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a nonequilateral isosceles triangle.
Find its interior-angle sum in degrees.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a nonequilateral isosceles triangle.
Find its smallest positive angle of rotational symmetry in degrees.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Shapes and their symmetries: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a parallelogram that is neither a rectangle nor a rhombus.
Find its smallest positive angle of rotational symmetry in degrees.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:700. All construction lengths in the questions are actual drawing lengths.
A drawing segment is 4 cm. Find its real length in metres.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:800. All construction lengths in the questions are actual drawing lengths.
A drawing segment is 5 cm. Find its real length in metres.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:800. All construction lengths in the questions are actual drawing lengths.
A real segment is \(56\) m. Find its drawing length in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:900. All construction lengths in the questions are actual drawing lengths.
A real segment is \(72\) m. Find its drawing length in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:900. All construction lengths in the questions are actual drawing lengths.
An SSS triangle has sides 6, 7 and 8 cm. Find its perimeter in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:1000. All construction lengths in the questions are actual drawing lengths.
An SSS triangle has sides 7, 8 and 9 cm. Find its perimeter in cm.
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:1000. All construction lengths in the questions are actual drawing lengths.
Using side 9 cm as the base, what is the radius in cm of the arc centred at its first endpoint if the side from that endpoint to the third vertex is 7 cm?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Scale drawings and accurate constructions: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A scale drawing uses 1:200. All construction lengths in the questions are actual drawing lengths.
Using side 10 cm as the base, what is the radius in cm of the arc centred at its first endpoint if the side from that endpoint to the third vertex is 8 cm?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a cuboid with three distinct edge lengths. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many planes of symmetry does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a right prism with equilateral triangular ends. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many planes of symmetry does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a right prism with equilateral triangular ends. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many faces does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a cube. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many faces does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a right regular square-based pyramid. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many edges does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a cube. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many edges does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a cube. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many vertices does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.
Solid shapes and planes of symmetry: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider a right prism with equilateral triangular ends. Count the faces, edges and vertices of the complete solid, including hidden ones.
How many vertices does it have?
Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.