SSAT Upper Level — Quantitative
For students now in grades 8–11. The two math sections of the Upper Level SSAT: arithmetic, number properties and exponents, fractions, percents and ratios, linear equations and inequalities, made-up operations, algebra word problems and slope, angles, area, circles and volume, averages, graphs and probability, and spatial-logic and counting puzzles. 50 questions in two 30-minute sections of 25, five choices, no calculator; a quarter point is taken off for each wrong answer.
- Grades:
- Grades 8–11
- Format:
- 50 Q · 2 × 30 min · five choices, −¼ per wrong answer
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 two quantitative sections of the Upper Level SSAT for students now in grades 8–11: arithmetic, number properties and exponents, fractions, percents and ratios, linear equations, inequalities, defined operations, algebra word problems and slope, angles, area, circles and volume, averages, graphs and probability, and spatial-logic and counting puzzles. 50 questions in two 25-question, 30-minute sections; five choices, no calculator, a quarter point off for each wrong answer.
Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.
Number Concepts & Operations
Arithmetic, number properties, exponents and roots.
3 units
- Arithmetic, Estimation & Units — Round to friendly numbers when the choices are spread out; convert units before you compute.
- Number Properties — Use small test numbers for 'must be' items; count multiples with ⌊n ÷ k⌋.
- Exponents & Roots — Same base: multiply → add exponents; power of a power → multiply exponents.
Fractions, Decimals, Percents & Ratios
Part-of-a-whole reasoning, reverse percents and rates.
3 units
- Fractions & Decimals — Convert everything to one form (all fractions or all decimals) before comparing.
- Percents & Percent Change — For reverse percents, write price × (1 − rate) = sale price and divide; never subtract the percent from the sale price.
- Ratios, Rates & Proportions — Total parts first: a ratio 2 : 3 : 7 splits the whole into 12 parts.
Algebra
Equations, inequalities, defined operations, word problems and lines.
5 units
- Linear Equations & Formulas — Distribute, collect like terms, isolate. For two equations, subtract one from the other.
- Inequalities & Comparing Expressions — Dividing by a negative flips the sign. For 'which is greatest', plug in one allowed value (x = ¼).
- Defined Operations & Symbols — Substitute exactly as defined; for nested symbols, work from the inside out.
- Algebra Word Problems — Name the unknown, write ONE equation from the sentence, then solve.
- Coordinates, Slope & Distance — Slope = rise ÷ run; distance = the hypotenuse of the rise–run right triangle.
Geometry & Measurement
Angles, triangles, area, circles and solids.
3 units
- Angles, Triangles & Polygons — Parallel lines give only two angle sizes; they add to 180°. Interior angle sum = (n − 2) × 180°.
- Area, Perimeter & Circles — Shaded area = whole − unshaded. Circle facts: C = 2πr, A = πr².
- Solids & Volume — Volume scales by the CUBE of the length factor; surface area by the square.
Data Analysis & Probability
Averages, graphs and probability.
3 units
- Averages & Weighted Averages — Average × count = total; for groups, combine the totals, not the averages.
- Graphs & Tables — Read titles, axes and units first; most graph items are one subtraction or one percent.
- Probability — Favourable ÷ total; for 'and' without replacement, multiply and shrink the total each draw.
Spatial & Logical Reasoning
The SSAT's 'other concepts': visual puzzles, digit puzzles and counting.
2 units
- Spatial & Logic Puzzles — Find the invariant: layers in a fold, odd corners in a figure, carries in a sum.
- Sets & Counting — Overlaps: total = A + B − both + neither. Inclusive counts: last − first + 1.
This is the top Level of the Series.
A sample question from Upper Level
Which of the following is greater than 5/8?
Answer:
Worked solution
- 5/8 = 0.625.
- As decimals: 3/5 = 0.6, 20/32 = 0.625 (equal, not greater), 13/20 = 0.65, 7/12 ≈ 0.583, 9/16 = 0.5625.
- Only 13/20 is greater than 5/8.
Read-only. Every other question opens after sign-in; each child's first round is free.
Questions families ask
- What does Prep cover for SSAT Quantitative?
- Elementary 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 SSAT Quantitative 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.