The ESAT course

Mathematics 2

Get ready for 27 questions in 40 minutes.

72 Lessons608 Questions
  1. Make the hidden structure do the work
  2. Keep the conditions with the algebra
  3. Use the polynomial constraints
  4. Find the feasible parameters
  5. Use conjugates to recover hidden quantities
  6. Keep the principal sign through nested roots
  7. Compare exactly and recover coefficients
  8. Keep the substitution reversible
  9. Recover quantities from combined powers
  10. Construct conditions on powers
  11. Treat a function as an input rule
  1. See the pattern, then sum it
  2. Recover a finite progression
  3. Read the missing tail
  4. Decide whether a limit exists
  5. Choose the terms that contribute
  6. Recover the hidden expansion
  7. Use the whole polynomial
  8. Count the gaps in a sequence
  1. Turn coordinates into geometry
  2. Combine the line conditions
  3. Use the whole circle constraint
  4. Keep every allowed contact
  5. Measure the slope between two points
  1. Let the angle choose the method
  2. Combine the triangle constraints
  3. Keep the valid angles
  4. Account for every region
  5. Recover a model from landmarks
  6. Infer the changed input
  7. Resolve incomplete model evidence
  8. Recover signed values from tangent constraints
  9. Keep the domain through an identity
  10. Reconstruct conditions from transformed roots
  11. Choose the sides for a trigonometric ratio
  1. Read exponentials in both directions
  2. Keep only valid logarithm roots
  3. Use exponential structure
  4. Solve the model before the logarithm
  5. Recover a hidden logarithm base
  6. Use equal outputs to constrain inputs
  7. Recover models from logarithmic data
  8. Read a logarithm as an exponent
  1. Use the gradient to read the whole curve
  2. Turn gradient signs into constraints
  3. Recover the missing tangent information
  4. Keep the domain in the optimisation
  5. Separate the amount from its changing rate
  6. Recover a model from derivative evidence
  7. Find the greatest rate under constraints
  8. Read a derivative as a gradient
  1. Keep the signed area honest
  2. Track signed area
  3. Recover the curve
  4. Judge the estimate
  5. Read an accumulating quantity
  6. Recover a journey from its totals
  7. Reconstruct what the integrals fix
  8. Reverse a derivative
  1. Move a graph without losing its meaning
  2. Recover a transformation
  3. What equal outputs tell you
  4. Compare whole graphs
  5. Keep every allowed input
  6. Count inputs through a composition
  7. Find intersections near an asymptote
  8. Distinguish input and output modulus
  9. Recover a model from its straight branches
  10. Keep the square-root branch at intersections
  11. Find where a graph meets an axis
  1. Keep signs and operations in order
  2. Bring the assumed mathematics together

Make the hidden structure do the work

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