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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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72 problemsClear all filters

KA-0003
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
A large triangle is cut by two lines from its top corner into three small triangles side by side. How many triangles of any size appear in the picture?
CNT-13Counting shapes hidden inside a figurealso CNT-04
KA-0005
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
A net of six squares folds into a cube. One square is shaded. Which square ends up opposite the shaded one?
GEO-10Nets and folding, 2D to 3Dalso GEO-11
KA-0007
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Nadia gave half her stickers to her brother, then 6 more to a friend. She has 9 left. How many stickers did she start with?
LOG-08Working backwardsalso NUM-09
KA-0009
4 points, difficulty 2 of 3Level 3–4has a figurenot yet calibrated
Small cubes are stacked in a corner as shown. Some are hidden from view. How many small cubes are there altogether?
CNT-14Counting cubes in a stack, including hidden onesalso GEO-13
KA-0011
4 points, difficulty 2 of 3Level 3–4not yet calibrated
The four-digit number 27_4 is divisible by 3. Which digit could go in the gap?
NUM-04Divisibility rules: 2, 3, 4, 5, 9, 10also NUM-02
KA-0014
4 points, difficulty 2 of 3Level 3–4not yet calibrated
Beads are threaded in the repeating order red, green, blue, yellow. What colour is the 30th bead?
PAT-03Repeating cycles and position mod nalso NUM-06
KA-0016
4 points, difficulty 2 of 3Level 3–4not yet calibrated
On a standard die opposite faces add to 7. Two dice are stacked. The touching faces show 3 on the upper die and 5 on the lower. What number is on the bottom face?
GEO-11Dice and cube face relationshipsalso GEO-10
KA-0019
4 points, difficulty 2 of 3Level 3–4not yet calibrated
A pack of 24 pencils is shared equally among 4 children. Each child then gives 2 pencils to a teacher. How many pencils do the children have left altogether?
MOD-10Multi-step arithmetic word problemsalso NUM-09, MOD-06
KA-0023
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A password is one letter from A, B, C followed by two digits from 1 to 5. Digits may repeat. How many passwords are possible?
CNT-03The multiplication principlealso CNT-05
KA-0024
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Red and blue counters are in the ratio 3 to 5. There are 40 counters altogether. How many are red?
NUM-11Ratio as parts of a wholealso NUM-09
KA-0027
4 points, difficulty 2 of 3Level 5–6has a figurenot yet calibrated
A square of side 10 has a smaller square of side 4 cut out of one corner. What is the area of the shape that remains?
GEO-04Area by subtraction (shaded regions)also GEO-01, GEO-03
KA-0030
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A sequence starts 4, 7, 10, 13 and continues in the same way. What is the 20th term?
PAT-02Arithmetic sequences and the nth termalso PAT-04

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