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The whole Atlas

Number & Arithmetic15
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Patterns & Sequences7
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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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27 problemsClear all filters

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-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-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-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-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-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-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-0019
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A pack of 24 pencils is shared equally among 4 children. Each child then gives 2 pencils to a teacher. How many pencils do the children have left altogether?
MOD-10Multi-step arithmetic word problemsalso NUM-09, MOD-06
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-0056
4 points, difficulty 2 of 3Level 3–4not yet calibrated
The two digits of a number are swapped and the number gets bigger by 36. Which of these could be the number?
NUM-01Place value and digit positionsalso NUM-02
KA-0063
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Which of these numbers can be divided exactly by both 4 and 9?
NUM-04Divisibility rules: 2, 3, 4, 5, 9, 10also NUM-01
KA-0068
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A coin is tossed three times. In how many of the possible outcomes are there exactly two heads?
CNT-02Tree diagramsalso CNT-01, CNT-04

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