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VTMO 2026 - Grade 5 - Final - SET 6 - Self-study Question 7

VTMO · VTMO 2026 - Grade 5 - Final - SET 6 - Self-study

Question 7

The two sequences of figures follow the patterns shown. The first four figures in the first sequence contain $1,3,6,10$ circles, and those in the second contain $1,4,9,16$ circles.
An has more than 800 but fewer than 1400 circles. Using every circle, An can make a figure in the first sequence. Using every circle again, An can also make a figure in the second sequence. How many circles does An have?

Question illustration