Prepw/ Sparko

ISEE Upper Level — Mathematics Achievement

For students applying to grades 9–12. The curriculum math section of the ISEE: exponents and radicals, linear equations and systems, quadratics, functions, geometry (Pythagoras, similarity, solids) and statistics and probability. 47 questions in 40 minutes, no calculator.

Grades:
Grades 8–11
Format:
47 Q · 40 min · four choices, no calculator
Let my child try (free)

Series pass $14.99/month for the whole family · the first round and its summary are free, no card needed

Next official date

Date to be announced

What Upper Level covers

The curriculum math section of the ISEE for students applying to grades 9–12: exponents and radicals, linear equations and systems, quadratics, functions, geometry (Pythagoras, similarity, solids) and statistics and probability. 47 questions in 40 minutes, four choices, no calculator.

Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.

  1. Numbers & Operations

    Exponents, radicals, scientific notation and percents.

    1 unit

    • Exponents, Radicals & Number Sense — Know the exponent rules cold: multiply → add exponents, power of a power → multiply, negative → reciprocal, zero → 1. Simplify radicals by pulling out perfect squares.

  2. Algebra & Functions

    Linear equations, systems, quadratics and functions.

    3 units

    • Linear Equations & Systems — Collect variables on one side; for systems, eliminate or substitute; dividing an inequality by a negative flips it.
    • Quadratics & Polynomials — Factor into (x − p)(x − q) by finding two numbers with the right sum and product; recognize squares and differences of squares.
    • Functions & Graphs — f(a) means 'substitute a for x'. For f(g(x)), work from the inside out.

  3. Geometry & Measurement

    Right triangles, similarity, polygons, solids and coordinates.

    1 unit

    • Geometry & Measurement — Spot right triangles and the common triples (3-4-5, 5-12-13, 8-15-17). Similar figures: lengths scale by k, areas by k², volumes by k³.

  4. Data Analysis & Probability

    Statistics, counting and probability.

    1 unit

    • Statistics & Probability — Independent events multiply; 'at least once' = 1 − P(never); decide whether order matters before counting.

  5. More topics

    Further topics from the exam's official scope.

    25 units

This is the top Level of the Series.

A sample question from Upper Level

The table shows the points scored by 10 players in a quiz bowl. Player: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Points: 42, 50, 38, 47, 45, 50, 36, 44, 49, 41 What is the median number of points?

Answer: 44.5

Worked solution

  1. Order the scores: 36, 38, 41, 42, 44, 45, 47, 49, 50, 50.
  2. With 10 values the median is the mean of the 5th and 6th: 44 and 45.
  3. (44 + 45) ÷ 2 = 44.5.

Read-only. Every other question opens after sign-in; each child's first round is free.

Questions families ask

What does Prep cover for ISEE Mathematics Achievement?
Primary 2, Primary 3, Primary 4, Lower Level, Middle Level, Upper Level. Each Level has its own chapter map, practice rounds, sealed practice exams with every answer and worked solution at the end, and a published gate to the next Level.
When is the next ISEE Mathematics Achievement date?
The next official date has not been announced yet. We update the page as soon as the organizer publishes it.
How much does it cost?
Each child's first round and its summary are free, with no card needed. After that, a Series pass is $14.99 a month for the whole family (up to 5 people) and covers every Level of the Series, so moving up never meets a new paywall.
Does Prep guarantee a score?
No. Prep shows exactly what your child has mastered, what comes next and when they are ready for the next Level. Nobody can promise a contest result.