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Grade 5–6 Math Kangaroo Practice Sets

Organized by topic with downloadable PDF question banks (50 questions per set) and answer keys. Expand each category to explore subcategories and access resources.

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1Arithmetic & Number Operations

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1.1 Basic Arithmetic
Multi-step calculations with mixed operations
📊 50 Questions (3-4 pts)
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1.2 Number Properties
Divisibility, primes, sequences, patterns
📊 50 Questions (3-5 pts)
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1.3 Percentages & Ratios
Percentage calculations, ratios, proportions
📊 49 Questions
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1.4 Fractions & Decimals
Fraction operations, conversions, comparisons
📊 50 Questions (3-5 pts)

2Geometry & Measurement

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2.1 Basic Geometry (2D Shapes)
Shapes, area, perimeter, properties of 2D figures
📊 49 Questions (3-4 pts)
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2.2 3D Shapes - Volume & Surface Area
Cubes, cuboids, cylinders, volume and surface area calculations
📊 49 Questions (3-4 pts)
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2.3 Angles & Triangles
Angle types, triangle properties, angle sum rules
📊 49 Questions (3-4 pts)
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2.4 Symmetry & Transformations
Lines of symmetry, rotational symmetry, reflections, rotations, translations
📊 49 Questions (3-4 pts)
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2.5 Coordinate Geometry & Grids
Identifying points, distances, midpoints, plotting shapes, area using coordinates
📊 49 Questions (3-4 pts)

3Logic & Problem Solving

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3.1 Logic Puzzles & Deduction
Logical deduction, truth tables, elimination puzzles
📊 49 Questions (3-4 pts)
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3.2 Logical Reasoning & Deduction
If-then reasoning, deductive chains, conditional statements
📊 49 Questions (3-4 pts)
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3.3 Combinatorics & Systematic Counting
Counting principles, systematic enumeration, tree diagrams
📊 49 Questions (3-4 pts)
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3.4 Probability & Chance
Basic probability, dice, coins, marbles, comparing probabilities, complementary events
📊 49 Questions (3-4 pts)

4Number Patterns & Sequences

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4.1 Number Sequences
Arithmetic, geometric, Fibonacci, squared sequences
📊 49 Questions (3-4 pts)
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4.2 Visual & Geometric Patterns
Pattern recognition in shapes, growing sequences, visual rules
📊 49 Questions (3-4 pts)
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4.3 Transformation & Folding Patterns
Paper folding, net patterns, spatial transformation sequences
📊 49 Questions (3-4 pts)

5Combinatorics & Counting

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5.1 Systematic Counting & Arrangements
Counting methods, multiplication principle, arrangements
📊 49 Questions (3-4 pts)
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5.2 Geometric Counting
Counting shapes in figures, paths on grids, geometric configurations
📊 49 Questions (3-4 pts)
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5.3 Probability & Chance
Applied probability, expected outcomes, experimental probability
📊 49 Questions (3-4 pts)

6Word Problems & Applications

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6.1 Time & Speed Calculations
Time duration, speed/distance/time, meeting problems
📊 50 Questions (3-4 pts)
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6.2 Money & Purchase Problems
Cost calculations, change, budget constraints, ratio-based sharing
📊 49 Questions (3-4 pts)
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6.3 Sports & Competition Scenarios
Race finish order, score calculations, win/loss records, Venn diagram logic
📊 49 Questions (3-4 pts)
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6.4 Food & Cooking (Baker/Garden Problems)
Dividing items into groups, garden dimensions, perimeter constraints
📊 49 Questions (3-4 pts)

7Algebra & Equations

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7.1 Simple Linear Equations
Solving for unknown (ax + b = c), reverse operations, two-step problems
📊 49 Questions (3-4 pts)
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7.2 Expression Manipulation
Simplifying expressions, expanding brackets, evaluating with given values
📊 49 Questions (3-4 pts)
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7.3 Inequality & Constraint Problems
Finding ranges of values, optimization with constraints, feasible regions
📊 49 Questions (3-4 pts)

© 2026 Math Kangaroo Grade 5 Practice System | All PDFs contain 50 carefully selected questions with detailed answer keys