Math Kangaroo — Levels 5–6
Grades 5–6. Ratio and percent, area and angles, factors and remainders, and the first counting rules.
- Grades:
- Grades 5–6
- Format:
- 30 Q · 75 min · thirds of 3/4/5 points
Series pass $14.99/month for the whole family · the first round and its summary are free, no card needed
Next official date
Mar 18, 2027
Math Kangaroo 2027 · Thu Mar 18, 2027 (all levels)
Register by Dec 31, 2026
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 5–6 covers
Math Kangaroo rewards clever reasoning over memorized formulas. This map organizes the bank into the core domains the contest draws on — number sense, algebra, geometry, counting, and the patterns-logic-time puzzles that give Kangaroo its flavor.
Unit questions open after sign-in with a Series pass. Each child's first round is free, with its summary.
Numbers & Arithmetic
3 units
- Fractions, Ratios & Sharing — Splitting a quantity in a ratio, sharing, fractions of amounts.
- Percents & Discounts — A percent of a number; the original price behind a discount.
- Multiples, Remainders & Primes — Remainders, common remainders, LCM, consecutive integers, primes.
Algebra & Word Problems
1 unit
- Word Problems, Patterns & Logic — Ages, faulty clocks, number patterns and logic puzzles.
Geometry & Spatial Reasoning
3 units
- Angles — Complementary and supplementary angles; angles of a triangle in a ratio.
- Perimeter, Area & Length — Area of a triangle, diagonal of a rectangle.
- Geometry & Solids — Volumes of cubes and boxes; the painted cube.
Counting & Probability
1 unit
- Counting Shapes & Probability — Counting rectangles in a grid, forming numbers from digits, simple probability.
More topics
Further topics from the exam's official scope.
25 units
- Logic Puzzles
- Inequalities
- Geometric Transformations
- Digits & Place Value
- Arithmetic in Context
- Smart Calculation
- Cycles & Repetition
- Systems of Equations
- Counting Integers in Ranges
- Divisibility & Digit Arguments
- Factors & Multiples
- Number Patterns
- Unit Conversion
- Arrangements & Selections
- GCD & LCM
- Speed & Travel
- Time & Clocks
- Composite Figures
- Roots & Powers
- Nets, Surface Area & Volume
- Circles
- Order of Operations & Powers
- Linear Equations
- Proportional Relationships
- Combinations & Binomial Coefficients
Moving up to Levels 7–8
- 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 5–6
A red bag and a blue bag together weigh exactly as much as a green bag and a yellow bag. The red and green bags together weigh more than the blue and yellow bags. The blue and green bags together weigh more than the red and yellow bags. Which bag is the lightest?
Answer: yellow
Worked solution
- Write R + B = G + Y, R + G > B + Y and B + G > R + Y.
- Add the two 'more than' facts: R + B + 2G > R + B + 2Y, so G > Y.
- From R + B = G + Y and R + G > B + Y: subtracting gives G - B > B - G, so G > B; similarly the third fact gives G > R. So green is heaviest.
- R + B = G + Y with G the biggest means Y is smaller than both R and B (R = G + Y - B > Y, B = G + Y - R > Y).
- So yellow is the lightest.
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?
- Mar 18, 2027 · Math Kangaroo 2027 · Thu Mar 18, 2027 (all levels). Always check the organizer's site before registering.
- 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.