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Free OA prep · hard mode

Sequences Test (Hard)

The hard tier of the sequences bank and nothing else: three-step operation cycles, second-order recurrences, hidden common denominators, prime skips, paired divisor tracks and the rest. No warm-ups. Sign in and your scores go on the hard-mode leaderboard.

Want the full mix with warm-ups? Play normal Sequences

You get 120 seconds. Each puzzle shows a number pattern; type the next term and press Enter. Answers can be whole numbers, fractions like 7/10, mixed numbers like 19 3/4 or powers like 12^2. Every question here is from the hard tier, so expect to skip more than usual; wrong guesses cost nothing but time.

Extra time

If you get extra time in the real tests (25% is the usual adjustment, 50% for some), practise with the same clock. Extra-time runs count toward your weak spots but not the leaderboard.