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Number & Arithmetic15
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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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8 problemsClear all filters

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-0131
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Twice a number, with 3 added, gives 17. Which of the choices is the number?
CFT-04Back-solve from the answer choicesalso MOD-01, LOG-08
KA-0132
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Ana has exactly 5 coins, each worth either 2 cents or 5 cents. Which of these could NOT be her total?
CFT-05Eliminate impossible choices by boundingalso CNT-04, NUM-06
KA-0150
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A diagonal joins two corners of a shape that are not next to each other. How many diagonals does a hexagon have?
CFT-03Try small cases firstalso CNT-08, GEO-06

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