Arcade mode:
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Successfully complete the tutorial to unlock Arcade mode.
Challenge mode:
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Successfully complete the Egypt world in Arcade mode to unlock Challenge mode.
Mission mode:
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Successfully complete Arcade mode to unlock Mission mode.
Relax mode:
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Connect all the dots on the bonus levels to unlock Relax mode.
Versus mode:
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Successfully complete the tutorial to unlock Versus mode.
Alarm clock:
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Successfully complete Mission mode to unlock the alarm clock.
Bonus weapons:
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Successfully complete the indicated world in Arcade mode to unlock the
corresponding weapon:
Whirlwind: World 2
Homing Shot: World 3
Shield: World 4
Fireballs: World 5
Weapon Steal: World 6
Repulse Shield: World 7
Stop Time: World 8