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The whole Atlas

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

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

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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

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Newest

177 problems

KA-0001
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
A 3 by 3 board is drawn. How many 2 by 2 squares can be found on it, if they must line up with the grid?
CNT-12Counting by position (sliding window)also CNT-01
KA-0002
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Ana adds up the first seven odd numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13. Is her total odd or even, and what is it?
NUM-03Parity of numbers (odd/even behavior)
KA-0003
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
A large triangle is cut by two lines from its top corner into three small triangles side by side. How many triangles of any size appear in the picture?
CNT-13Counting shapes hidden inside a figurealso CNT-04
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-0006
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
On the number line shown, the marks are equally spaced. What number does the arrow point to?
NUM-13Number lines and betweennessalso MOD-09
KA-0007
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Nadia gave half her stickers to her brother, then 6 more to a friend. She has 9 left. How many stickers did she start with?
LOG-08Working backwardsalso NUM-09
KA-0008
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The first three patterns are made of dots and follow a rule. How many dots will the fifth pattern have?
PAT-01Continuing a visual patternalso PAT-02
KA-0009
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
Small cubes are stacked in a corner as shown. Some are hidden from view. How many small cubes are there altogether?
CNT-14Counting cubes in a stack, including hidden onesalso GEO-13
KA-0010
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Sam has only 2-cent and 5-cent coins. What is the largest amount under 15 cents that he cannot make exactly?
MOD-06Money and changealso CNT-01
KA-0011
4 points, difficulty 2 of 3Level 3–4not yet calibrated
The four-digit number 27_4 is divisible by 3. Which digit could go in the gap?
NUM-04Divisibility rules: 2, 3, 4, 5, 9, 10also NUM-02
KA-0012
5 points, difficulty 3 of 3Level 3–4not yet calibrated
How many two-digit numbers have digits that add up to 8?
CNT-04Caseworkalso CNT-01, NUM-02

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