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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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36 problemsClear all filters

KA-0107
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Dots are arranged in triangles: 1 dot, then 3, then 6, then 10, and so on. How many dots does the tenth triangle have?
PAT-04Growth patterns and figurate numbersalso NUM-08, CNT-08
KA-0111
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A mother is 32 and her child is 8. In how many years will the mother be exactly three times as old as the child?
MOD-05Age problemsalso MOD-01, LOG-08
KA-0116
4 points, difficulty 2 of 3Level 5–6not yet calibrated
One pipe fills a pool in 12 hours and another fills it in 4 hours. With both running, how many hours does the pool take to fill?
MOD-04Combined work ratesalso MOD-03
KA-0117
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A train covers 150 km at a steady 60 km per hour. How many minutes does the journey take?
MOD-03Rate, time, distancealso MOD-07
KA-0121
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Everyone at a meeting shakes hands with everyone else exactly once. There are 66 handshakes in total. How many people are there?
CFT-03Try small cases firstalso CNT-08, PAT-04
KA-0122
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Which of these numbers has exactly 6 different whole-number factors, counting 1 and the number itself?
CFT-04Back-solve from the answer choicesalso NUM-05
KA-0123
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A rectangle has an area of 36 and sides that are whole numbers. Which of these could NOT be its perimeter?
CFT-05Eliminate impossible choices by boundingalso GEO-01, NUM-05
KA-0128
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A rectangle measures 30 cm by 0.4 m. What is its area in square centimetres?
CFT-10Check units and re-read before bubblingalso MOD-07, GEO-01
KA-0129
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Work out 17 x 24, then check it a second way before you commit to an answer.
CFT-11Sanity-check with a second methodalso NUM-08, CFT-06
KA-0147
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Two circles touch on the outside. One has a radius of 3 cm and the other a radius of 5 cm. How many centimetres apart are their centres?
GEO-07Circles: radius, diameter, and touching circlesalso GEO-01
KA-0148
4 points, difficulty 2 of 3Level 5–6not yet calibrated
What is the smaller angle between the hands of a clock at exactly 4 o'clock?
GEO-18Clock geometry: hands, angles, timesalso GEO-05, NUM-11
KA-0149
4 points, difficulty 2 of 3Level 5–6not yet calibrated
What is the units digit of 3 multiplied by itself 100 times, that is 3 to the power 100?
NUM-07Last-digit behavior of products and powersalso NUM-06, PAT-03

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