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

177 problems

KA-0037
5 points, difficulty 3 of 3Level 5–6not yet calibrated
What is the units digit of 7 multiplied by itself 2026 times, that is 7 to the power 2026?
NUM-07Last-digit behavior of products and powersalso NUM-06, PAT-03
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-0040
5 points, difficulty 3 of 3Level 5–6not yet calibrated
A drawer holds 10 red socks, 10 blue socks and 10 green socks, all mixed up in the dark. How many socks must you take out to be sure of having a matching pair?
CNT-17The pigeonhole principlealso CNT-18, LOG-09
KA-0041
3 points, difficulty 1 of 3Level 5–6not yet calibrated
One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?
NUM-05Factors, multiples, LCM and GCD by listingalso NUM-06
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-0043
5 points, difficulty 3 of 3Level 5–6not yet calibrated
A bag holds 5 black and 6 white stones. You repeatedly remove two stones: if they match you put a black one in, if they differ you put a white one in. What colour is the last stone?
LOG-06Invariants and monovariantsalso LOG-05, NUM-03
KA-0044
4 points, difficulty 2 of 3Level 5–6not yet calibrated
One tap fills a tank in 6 hours and another fills it in 3 hours. With both running, how long does the tank take to fill?
MOD-04Combined work ratesalso MOD-03, NUM-09
KA-0045
5 points, difficulty 3 of 3Level 5–6not yet calibrated
A number is 4 more than a third of itself. Which of the choices is that number?
CFT-04Back-solve from the answer choicesalso CFT-05, MOD-01
KA-0046
4 points, difficulty 2 of 3Level 3–4not yet calibrated
How many 2 by 2 squares fit on a 4 by 4 board, if they must line up with the grid?
CNT-12Counting by position (sliding window)also CNT-04
KA-0047
5 points, difficulty 3 of 3Level 5–6not yet calibrated
On a 4 by 4 board, how many aligned squares of any size are there, counting 1 by 1, 2 by 2, 3 by 3 and 4 by 4?
CNT-12Counting by position (sliding window)also CNT-04, GEO-02
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
3
4
5
15

Showing 37–48 of 177