ISEE Upper Level (grades 9-12) Quantitative Reasoning

ISEE Upper Level Quantitative Reasoning focuses on developing advanced mathematical skills and problem-solving abilities for high school students.

Numbers and OperationsAlgebraic ThinkingData Analysis and Probability
Functions and GraphsGeometry and Spatial ReasoningInequalities and Absolute Value
Budgeting and Financial LiteracyPlanning and SchedulingUnderstanding Statistics in Daily Life
Process of EliminationEstimating and Checking
Numbers and Operatio...Algebraic ThinkingData Analysis and Pr...Functions and GraphsGeometry and Spatial...Inequalities and Abs...Budgeting and Financ...Planning and Schedul...Understanding Statis...Process of Eliminati...Estimating and Check...
Study Strategies

Estimating and Checking

Making Smart Estimates

Estimating helps you quickly judge if an answer is reasonable. Checking your work can catch careless mistakes before you finish.

How to Use It

  • Round numbers to make calculations faster.
  • After solving, plug your answer back into the problem to see if it makes sense.

Estimation is great for saving time, and checking helps you avoid simple errors.

Examples

  • If the answer choices are 100, 500, 1000, and 5000, and you quickly estimate the answer is close to 500, you can confidently choose that option.

  • After solving \( 2x + 5 = 13 \), plugging in \( x = 4 \) gives \( 2 \times 4 + 5 = 13 \), so your answer is correct.