← Reasoning

Grade 6-2

45 problems

Unbracket, reorder, and factor out
Mixed Operations with Fractions
Collapse a repeated number or expression
Mixed Operations with Fractions
Cancel down a long fraction product
Mixed Operations with Fractions
Cross-sections cut from a cone
Solids of Revolution and Their Cross-Sections
Solids of revolution and their generating figures
Solids of Revolution and Their Cross-Sections
Top, front, and side views of a solid of revolution
Solids of Revolution and Their Cross-Sections
Central angle of a cone net
Shortest Distance and Surface Area
Surface area of a drilled cylinder
Shortest Distance and Surface Area
Fold a patterned cone net
Shortest Distance and Surface Area
Volumes of cylinders and cones
Volume of Solid Figures
Volumes of assorted solids
Volume of Solid Figures
Volume of a solid of revolution
Volume of Solid Figures
Find a counterfeit of unknown weight
Balance Scales and Counterfeit Coins
Find the lighter counterfeit coin
Balance Scales and Counterfeit Coins
Fewest weighings to rank all weights
Balance Scales and Counterfeit Coins
Most non-overlapping classes in one day
Optimal Design
Measure an exact time with two hourglasses
Optimal Design
Farthest travel under a carry limit
Optimal Design
Parity bounds the fewest three-coin flips
Swapping and Flipping
Fewest swaps to sort number cards
Swapping and Flipping
Repeated shuffle returns in a cycle
Swapping and Flipping
Evaluate a nested defined operation
Mixed Fraction and Decimal Calculations
Split fractions to telescope a sum
Mixed Fraction and Decimal Calculations
Simplify messy decimal computations
Mixed Fraction and Decimal Calculations
Four fours, with a fraction required
Fraction Calculation in Action
Undo repeated scaling by a fraction
Fraction Calculation in Action
Find the whole from a fraction of a fraction
Fraction Calculation in Action
Views of a cube stack from each direction
Top, Front, and Side Views of a Stack
Five views of stacked rectangular blocks
Top, Front, and Side Views of a Stack
Views of clear and colored cubes
Top, Front, and Side Views of a Stack
Count distinct stackings up to symmetry
Counting Cubes and Stackings
Most and fewest cubes fitting three views
Counting Cubes and Stackings
Match a solid to its three views
Counting Cubes and Stackings
Largest and smallest surface area
Surface Area of Cube Stacks
Surface area of a complicated cube stack
Surface Area of Cube Stacks
Surface area unchanged by removing a cube
Surface Area of Cube Stacks
Perimeter of a sector and of a sector ring
Circumference of a Circle
Bounding pi with inscribed and circumscribed polygons
Circumference of a Circle
Perimeter of a figure with arcs and segments
Circumference of a Circle
Area of the shaded part (2)
Area of the Shaded Region
Area of a path of constant width
Area of the Shaded Region
Area of the shaded part (1)
Area of the Shaded Region
Path length traced by a rolling circle's center
Loci and Traced Paths
Path length traced by a rolling triangle's vertex
Loci and Traced Paths
Largest area a tied string can sweep
Loci and Traced Paths