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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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34 problemsClear all filters

KA-0134
5 points, difficulty 3 of 3Level 3–4not yet calibrated
A square sheet is folded in half, then in half again. Two holes are punched through all the layers. How many holes are there when it is unfolded?
GEO-15Paper folding and hole punchingalso GEO-09, CNT-03
KA-0139
5 points, difficulty 3 of 3Level 3–4not yet calibrated
On a die, opposite faces add to 7. A die rests on a table with 3 on top. What do the four side faces add up to?
GEO-11Dice and cube face relationshipsalso NUM-08, CFT-05
KA-0142
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Which capital letter, printed plainly, has both a horizontal and a vertical line of symmetry?
GEO-08Line and rotational symmetryalso GEO-09
KA-0145
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A counter sits at the point (3, 5) on a grid. It moves 4 squares right and 2 squares down. Where is it now?
GEO-02Grid coordinates and lattice reasoningalso GEO-09
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-0152
3 points, difficulty 1 of 3Level 7–8not yet calibrated
In a triangle, one angle measures 30 degrees. Of the other two angles, one is exactly twice the other. What is the largest angle in the triangle?
GEO-05Angles on lines, in triangles, in polygonsalso MOD-01, CFT-02
KA-0155
4 points, difficulty 2 of 3Level 7–8not yet calibrated
A photograph measures 8 cm by 12 cm. It is enlarged so that the shorter side becomes 20 cm, and the shape is not distorted. How long is the longer side of the enlargement?
GEO-16Scaling and similar figuresalso NUM-11, CFT-11
KA-0164
4 points, difficulty 2 of 3Level 9–10not yet calibrated
Two triangles are similar. The sides of the smaller are 3/5 as long as the matching sides of the larger. The smaller triangle has area 18 square cm. What is the area of the larger triangle?
GEO-16Scaling and similar figuresalso NUM-11, CFT-11
KA-0170
3 points, difficulty 1 of 3Level 11–12not yet calibrated
What is the size of one interior angle of a regular twelve-sided polygon?
GEO-05Angles on lines, in triangles, in polygonsalso CFT-10, CFT-11

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