Skip to main content

Atlas
Problems
Diagnostic
Mock
Papers
About

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

8 problemsClear all filters

KA-0014
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Beads are threaded in the repeating order red, green, blue, yellow. What colour is the 30th bead?
PAT-03Repeating cycles and position mod nalso NUM-06
KA-0030
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts 4, 7, 10, 13 and continues in the same way. What is the 20th term?
PAT-02Arithmetic sequences and the nth termalso PAT-04
KA-0103
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts at 3. Each term after that is double the one before it, minus 1. What is the sixth term?
PAT-05Recursive rulesalso PAT-02
KA-0104
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts 1, 1, and every term after that is the sum of the two before it. What is the eighth term?
PAT-05Recursive rulesalso PAT-04
KA-0105
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
Each row of a grid starts 3 more than the row above. Each cell is 1 more than the one to its left. The top-left cell is 1. What is in row 4, column 3?
PAT-06Patterns in tables and gridsalso GEO-02, PAT-02
KA-0107
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Dots are arranged in triangles: 1 dot, then 3, then 6, then 10, and so on. How many dots does the tenth triangle have?
PAT-04Growth patterns and figurate numbersalso NUM-08, CNT-08
KA-0109
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A staircase of blocks has 4 blocks in the first step, 7 in the second and 10 in the third. How many blocks are in the eighth step?
PAT-02Arithmetic sequences and the nth termalso PAT-01
KA-0156
4 points, difficulty 2 of 3Level 7–8not yet calibrated
A pattern is built in rows. The first figure has 1 row, the second has 2 rows, and so on. In every figure, the first row has 1 dot, the second has 3 dots, the third has 5 dots, and each row after has 2 more dots than the one above it. How many dots are in the eighth figure?
PAT-04Growth patterns and figurate numbersalso CFT-03, PAT-02

Browse the problems — Kangaroo Atlas