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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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16 problemsClear all filters

KA-0045
5 points, difficulty 3 of 3Level 5–6not yet calibrated
A number is 4 more than a third of itself. Which of the choices is that number?
CFT-04Back-solve from the answer choicesalso CFT-05, MOD-01
KA-0119
3 points, difficulty 1 of 3Level 3–4not yet calibrated
Bo has 24 marbles and gives a third of them to Ana. How many more marbles does Bo have than Ana now?
CFT-01Find what is actually being askedalso NUM-09
KA-0120
3 points, difficulty 1 of 3Level 3–4not yet calibrated
A cat walks 3 m north, then 4 m east, then 3 m south. How many metres is it now from where it started?
CFT-02Draw the diagramalso GEO-02
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-0124
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Which of these is closest to the number of seconds in one day?
CFT-06Estimate to the nearest choicealso MOD-07, NUM-12
KA-0125
5 points, difficulty 3 of 3Level 5–6not yet calibrated
What is the value of (1 - 1/2) x (1 - 1/3) x (1 - 1/4) x ... x (1 - 1/10)?
CFT-07Spot the trick vs. decide to grindalso NUM-09, CFT-03
KA-0126
5 points, difficulty 3 of 3Level 5–6not yet calibrated
You are 20 minutes into a 75-minute paper of 30 questions, still on question 9, and four minutes in with no progress. What is the best move?
CFT-08Time triage: now, later, or guessalso CFT-09, CFT-12
KA-0127
3 points, difficulty 1 of 3Level 3–4not yet calibrated
One minute is left. Three questions have no answer written and you cannot do any of them. Nothing is taken off for a wrong answer. What should you do?
CFT-09Never leave a blank — there is no penaltyalso CFT-08
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

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