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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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66 problemsClear all filters

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-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-0015
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The chart shows how many pets four children own. How many more pets does Mia own than Leo?
MOD-09Reading tables, charts, and graphsalso NUM-13
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-0017
5 points, difficulty 3 of 3Level 3–4not yet calibrated
Ana says "Bo is lying." Bo says "Cal is lying." Cal says "Ana and Bo are both lying." How many of the three are telling the truth?
LOG-02Truth-tellers and liarsalso LOG-01, LOG-09
KA-0018
5 points, difficulty 3 of 3Level 3–4not yet calibrated
A three-digit code uses only the digits 1, 2 and 3, and digits may repeat. How many such codes contain at least one 3?
CNT-09Complementary countingalso CNT-03, CNT-04
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-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-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-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
KA-0050
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Toma spent 4 euros, then spent half of what was left, and now has 6 euros. How much did she start with?
LOG-08Working backwardsalso MOD-06
KA-0051
3 points, difficulty 1 of 3Level 3–4not yet calibrated
How many of the numbers from 1 to 20 are not multiples of 3?
CNT-09Complementary countingalso CNT-01

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