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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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55 problemsClear all filters

KA-0032
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
What is the angle between the hands of a clock at exactly 3 o'clock?
GEO-18Clock geometry: hands, angles, timesalso GEO-05
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-0038
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?
GEO-13Building and counting with unit cubesalso CNT-14
KA-0041
3 points, difficulty 1 of 3Level 5–6not yet calibrated
One bus leaves every 12 minutes and another every 18 minutes. They leave together at 9:00. When do they next leave together?
NUM-05Factors, multiples, LCM and GCD by listingalso NUM-06
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
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-0055
3 points, difficulty 1 of 3Level 3–4not yet calibrated
In the number 4073, what is the value of the digit 7?
NUM-01Place value and digit positions
KA-0057
3 points, difficulty 1 of 3Level 3–4not yet calibrated
What is 1 + 2 + 3 + ... + 20?
NUM-08Clever regrouping (pair to round numbers)also CNT-01
KA-0059
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A tap drips about 3 times a minute. Roughly how many drips is that in one day?
NUM-12Estimation and order of magnitudealso MOD-07
KA-0061
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Each shape stands for a whole number. A triangle plus a triangle plus a triangle is 12, and a triangle plus a square is 9. What is the square?
NUM-14Operation puzzles and cryptarithmsalso LOG-08

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