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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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7 problemsClear all filters

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-0035
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Eight people meet and everyone shakes hands with everyone else exactly once. How many handshakes take place?
CNT-08Handshakes and pairsalso CNT-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
KA-0054
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
A rectangle is divided by two vertical lines into three parts. How many rectangles of any size are in the picture?
CNT-13Counting shapes hidden inside a figurealso CNT-01
KA-0067
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
A cafe offers 3 main courses and 2 puddings. How many different two-course meals can be ordered?
CNT-02Tree diagramsalso CNT-03
KA-0072
3 points, difficulty 1 of 3Level 3–4not yet calibrated
How many different two-digit numbers can be written using only the digits 1, 2 and 3, if a digit may be used twice?
CNT-01Systematic listingalso CNT-03
KA-0143
3 points, difficulty 1 of 3Level 5–6not yet calibrated
How many three-digit numbers can be written using only the digits 1 and 2, with repeats allowed?
CNT-01Systematic listingalso CNT-03, NUM-01