About This Set

These are harder, closer to Tier 2. Many need two steps or a pattern spotted first: big powers compared by making the exponents equal, a fourth root of a surd, a telescoping sum with a wider gap, a long product chain with squares. Items marked [Tier 2] use methods that only Tier 2 tests, so if you are preparing for Tier 1 alone you can leave them for later. Allow about 30 minutes and finish the set before reading the explanations. With 18 or more right, you are ready for the PYQ sets.