What does Prep cover for Math Kangaroo?

Levels 1–2, Levels 3–4, Levels 5–6, Levels 7–8, Levels 9–10, Levels 11–12. 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 Math Kangaroo 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.

Math Kangaroo — Levels 9–10

Grades 9–10. Original annual papers, answer keys and available worked solutions, organized by year. Timed paper practice and printable originals.

Grades:: Grades 9–10

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

Dates and formats come from the organizer (mathkangaroo.org). Prep is not affiliated with it; the contest name is used to describe what we help with.

What Levels 9–10 covers

Math Kangaroo Junior (grades 9–10) rewards insight over long computation: 30 multiple-choice problems in three point bands, drawing on number theory, algebra, plane and solid geometry, counting and the logic puzzles that give Kangaroo its flavor. This map groups the skills those papers actually test.

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

Arithmetic
Number sense, place value, fractions, ratios and percents used with care.
8 units
- Digits & Place Value — Place value, Digit sums & digit counting, Digit puzzles (reversals, rearrangements).
- Roots & Powers — Square roots, Perfect squares & cubes, Estimating roots.
- Fractions — Fraction of an amount, Adding & subtracting fractions, Multiplying & dividing fractions, Comparing & ordering fractions.
- Speed & Travel — Speed, distance & time, Average speed, Meeting & catching up.
- Percents — Percent of a number, Finding the whole from a percent, Percents ↔ fractions.
- Arithmetic in Context — Multi-step arithmetic word problems, Comparisons & differences, Working backwards.
- Negative Numbers & Absolute Value — Operations with negatives, Absolute value, Number line & ordering.
- Ratios & Sharing — Splitting in a given ratio, Ratios between quantities, Ratios that change.
Number Theory
Primes, divisibility, factors and remainders — the integer reasoning Kangaroo loves.
5 units
- Divisibility & Digit Arguments — Divisibility rules, Digit arguments for divisibility, Parity & last digits.
- Primes & Prime Factorization — Recognizing primes, Prime factorization, Prime puzzles.
- Factors & Multiples — Factors & multiples, Factor pairs & products, Multiples in a range.
- Remainders & Modular Arithmetic — Remainders of a division, Common remainders (simultaneous conditions), Remainders of powers & cycles, Modular reasoning.
- GCD & LCM — Greatest common divisor, Least common multiple, GCD & LCM word problems.
Algebra
Expressions, equations, functions and sequences, set up from the situation.
9 units
- Systems of Equations — Two-variable systems, Substitution & elimination, Systems from word problems.
- Sequences & Series — Arithmetic sequences, Geometric sequences, Recursive sequences.
- Word Problems with Algebra — Age problems, Work & rate problems, Mixture problems, Number relation problems.
- Linear Equations — One- and two-step equations, Multi-step equations, Equations from word problems.
- Exponents & Radicals — Exponent rules, Radicals & rational exponents, Exponential equations.
- Trigonometry — Trig ratios, Identities & equations, Laws of sines & cosines.
- Simplifying & Evaluating — Evaluating expressions, Simplifying & combining terms, Translating words to expressions.
- Inequalities — Solving inequalities, Inequalities in context.
- Quadratic Equations — Factoring quadratics, Quadratic formula & discriminant, Quadratics in context, Sum & product of roots.
Geometry
Angles, triangles, circles, areas and solids, plus coordinates and transformations.
11 units
- Circles — Circumference & area, Arcs, sectors & central angles, Inscribed angles & chords, Tangents & power of a point.
- Triangles — Triangle inequality, Isosceles, equilateral & right triangles, Similar triangles, Area ratios in triangles.
- Perimeter & Area — Perimeter, Area of rectangles & squares, Area of triangles, Parallelograms & trapezoids.
- Solids & Spatial Reasoning — Recognizing & visualising solids, Painted cube & unit cubes, Views & cross-sections.
- The Pythagorean Theorem — Pythagorean theorem, Pythagorean triples, Distances & diagonals.
- Composite Figures — Area of composite figures, Shaded regions, Figures on a grid.
- Coordinate Geometry — Coordinates & distance, Midpoint & slope, Area from coordinates.
- Angles & Polygons — Complementary, supplementary & vertical angles, Angles with parallel lines, Interior & exterior angles of polygons, Angle sum of a triangle.
- Geometric Transformations — Reflections & rotations, Translations & symmetry, Dilations.
- Nets, Surface Area & Volume — Nets, Surface area, Volume.
- Quadrilaterals — Properties of quadrilaterals, Areas of quadrilaterals.
Counting & Probability
Systematic counting, arrangements, probability and averages.
5 units
- Arrangements & Selections — Multiplication principle, Permutations & arrangements, Arrangements with restrictions.
- Averages — Mean, Weighted averages, Changing the mean.
- Counting Integers in Ranges — Counting integers in a range, Counting with conditions.
- Paths, Grids & Distributions — Lattice paths, Distributing objects (stars & bars).
- Combinations & Binomial Coefficients — Combinations, Binomial identities.
Logic & Patterns
Logic puzzles, cycles, patterns and clock problems that reward a clear head.
4 units
- Logic Puzzles — Truth-tellers & liars, Grid & elimination deduction, Ordering & ranking puzzles.
- Cycles & Repetition — Position in a repeating cycle, Last-digit cycles, Weekday & calendar cycles.
- Number Patterns — Add-the-same patterns, Growing & figurate patterns, Finding the rule & the next term.
- Time & Clocks — Elapsed time, Fast & slow clocks, Clock-hand angles.
More topics
Further topics from the exam's official scope.
6 units

Moving up to Levels 11–12

Cover at least 80% of this Level's knowledge points, with at least 50% of them mastered (confirmed by spaced review, not one good day).
Pass 2 full-length practice exams on different papers, at least 7 days apart, within 60 days.
Answer at a steady pace: a median of 150 seconds a question or less.
Or, when the signs are there, take the next Level's entry check: 75% or more moves up straight away.

A sample question from Levels 9–10

Which two of the numbers 7, 11, 13 and 20 add up to 24?

Answer: 11 and 13

Worked solution

Check the pairs: 7 + 11 = 18, 7 + 13 = 20, 7 + 20 = 27, 11 + 13 = 24.
So the pair is 11 and 13.

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

Questions families ask

What does Prep cover for Math Kangaroo?: Levels 1–2, Levels 3–4, Levels 5–6, Levels 7–8, Levels 9–10, Levels 11–12. 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 Math Kangaroo 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.