Skip to main content

Math Kangaroo Star

Atlas
Problems
Diagnostic
Mock
Papers
About

Listen

Listening voice

Tap a speaker to listen. Then try saying it yourself! Tap it again to stop.

The whole Atlas

Number & Arithmetic15
Counting18
Geometry & Visualization18
Logic & Deduction11
Patterns & Sequences7
Modeling & Word Problems10
Contest Craft12

Loading…

About
Sign in
Worksheets
Privacy
Terms
License
Contact
GitHub

Code is MIT. Problems, skills, and explanations are CC BY-NC-SA 4.0. Practice never requires an account and nothing here is paywalled.

Independent project. Not affiliated with or endorsed by Math Kangaroo in USA, NFP.

Home
Atlas
Problems
Papers

Browse the problems

177 problems, every one written from scratch, every wrong answer carrying the mistake that produces it. 708 explanations in all.

Level

1–2
3–4
5–6
7–8
9–10
11–12

Point value

3 pt
4 pt
5 pt

Strand

NUMNumber & Arithmetic
CNTCounting
GEOGeometry & Visualization
LOGLogic & Deduction
PATPatterns & Sequences
MODModeling & Word Problems
CFTContest Craft

Sort

Id
Hardest first
Newest

34 problemsClear all filters

KA-0004
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
Four road signs are shown. Exactly one of them has two lines of symmetry. Which one is it?
GEO-08Line and rotational symmetry
KA-0005
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
A net of six squares folds into a cube. One square is shaded. Which square ends up opposite the shaded one?
GEO-10Nets and folding, 2D to 3Dalso GEO-11
KA-0013
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The L-shaped figure is made of unit squares. What is its perimeter?
GEO-01Perimeter and area of rectilinear shapes
KA-0016
4 points, difficulty 2 of 3Level 3–4not yet calibrated
On a standard die opposite faces add to 7. Two dice are stacked. The touching faces show 3 on the upper die and 5 on the lower. What number is on the bottom face?
GEO-11Dice and cube face relationshipsalso GEO-10
KA-0020
5 points, difficulty 3 of 3Level 3–4has a figurenot yet calibrated
A square sheet is folded in half top to bottom, then in half left to right. One hole is punched through all the layers. How many holes are in the unfolded sheet?
GEO-15Paper folding and hole punchingalso GEO-08, GEO-09
KA-0022
3 points, difficulty 1 of 3Level 5–6not yet calibrated
In a triangle, one angle is 90 degrees and another is 35 degrees. What is the third angle?
GEO-05Angles on lines, in triangles, in polygons
KA-0027
4 points, difficulty 2 of 3Level 5–6has a figurenot yet calibrated
A square of side 10 has a smaller square of side 4 cut out of one corner. What is the area of the shape that remains?
GEO-04Area by subtraction (shaded regions)also GEO-01, GEO-03
KA-0032
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
What is the angle between the hands of a clock at exactly 3 o'clock?
GEO-18Clock geometry: hands, angles, timesalso GEO-05
KA-0038
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?
GEO-13Building and counting with unit cubesalso CNT-14
KA-0039
4 points, difficulty 2 of 3Level 5–6has a figurenot yet calibrated
A flag shape is rotated a quarter turn clockwise about its bottom-left corner. Which of the descriptions matches the result?
GEO-09Reflections, rotations, translationsalso GEO-08
KA-0042
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A photograph is enlarged so that each side becomes 3 times as long. How many times bigger is its area?
GEO-16Scaling and similar figuresalso GEO-01, NUM-11
KA-0048
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
Which of these arrangements of six squares cannot be folded into a closed cube?
GEO-10Nets and folding, 2D to 3Dalso GEO-08

1
2
3

Showing 1–12 of 34