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In the diagram, point O is the centre of the circle.

Determine ∠α.

unemasculated mathematics beﬁtting school years 6, 7 & 8 ~ or thereabouts

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The length and width (breadth) of a rectangular parallelepiped (cuboid) are each decreased by 5%, and the height is increased by 4%. By what percentage does the volume (capacity) change?

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In the diagram, the area of △ABC is 72 cm². Point D divides side AB in a ratio of 1:3, and point E divides side BC in a ratio of 1:2. Determine the area of quadrilateral ADEC.

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