Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
1. What is a solid shape with 6 faces, all of which are rectangles?
- ACube
- BCuboid
- CSphere
- DCylinder
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Answer: B) Cuboid
A cuboid has 6 rectangular faces (a cube is a special cuboid whose faces are squares).
4. When a cube is cut by a plane parallel to one of its faces, which shape is the cross-section?
- ASquare
- BRectangle
- CTriangle
- DCircle
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Answer: A) Square
True. A cut parallel to a face of a cube gives a square cross-section of the same size as the face.
5. Assertion (A): For any prism, the number of side (rectangular) faces equals the number of sides of its base polygon. Reason (R): Each side of the base joins to one rectangular face. Which is correct?
- ABoth A and R are true and R explains A
- BA is true but R is false
- CA is false but R is true
- DBoth A and R are false
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Answer: A) Both A and R are true and R explains A
In a prism, each side of the base polygon is joined by exactly one rectangular side face, so the number of rectangular faces equals the number of base sides. R correctly explains A.