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Question Units and parts

Overlapping quadrant

A figure has 3 identical small quarter circles and 3 identical big quarter circles. Its upper horizontal span is 54 cm, and the upper row extends 6 cm farther than the lower row. Find the radius of a small quarter circle.

Three identical small quarter circles and three identical big quarter circles share a baseline. The upper span is 54 cm and exceeds the lower span by 6 cm.54 cm6 cm

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About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. Each quarter circle uses one radius along the straight baseline, so comparing the two rows turns the 6 cm endpoint gap into big radius - small radius = 6 cm.

In allone share

How to spot it

A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.

Common mistake

Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.

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