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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-0022
3 points, difficulty 1 of 3Level 5–6not yet calibrated
In a triangle, one angle is 90 degrees and another is 35 degrees. What is the third angle?
GEO-05Angles on lines, in triangles, in polygons
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-0032
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
What is the angle between the hands of a clock at exactly 3 o'clock?
GEO-18Clock geometry: hands, angles, timesalso GEO-05
KA-0038
3 points, difficulty 1 of 3Level 5–6has a figurenot yet calibrated
A solid block is built from unit cubes and measures 4 by 3 by 2. How many unit cubes does it contain?
GEO-13Building and counting with unit cubesalso CNT-14
KA-0039
4 points, difficulty 2 of 3Level 5–6has a figurenot yet calibrated
A flag shape is rotated a quarter turn clockwise about its bottom-left corner. Which of the descriptions matches the result?
GEO-09Reflections, rotations, translationsalso GEO-08
KA-0042
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A photograph is enlarged so that each side becomes 3 times as long. How many times bigger is its area?
GEO-16Scaling and similar figuresalso GEO-01, NUM-11
KA-0052
5 points, difficulty 3 of 3Level 5–6has a figurenot yet calibrated
A circle of radius 5 is drawn inside a square of side 10, touching all four sides. What fraction of the square is outside the circle, to the nearest tenth?
GEO-04Area by subtraction (shaded regions)also GEO-03, GEO-07
KA-0080
4 points, difficulty 2 of 3Level 5–6not yet calibrated
An isosceles triangle has an angle of 100 degrees. How big is each of the other two angles?
GEO-06Properties of triangles and quadrilateralsalso GEO-05
KA-0082
5 points, difficulty 3 of 3Level 5–6has a figurenot yet calibrated
A room is 8 m long, 4 m wide and 2 m high. An ant walks across the floor and the walls from one bottom corner to the far top corner. What is the shortest distance in metres?
GEO-17Shortest paths on and around shapesalso GEO-10, GEO-01
KA-0084
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A square of side 6 cm is cut along a midline into two identical rectangles. What is the perimeter of one of them?
GEO-03Area by dissection and rearrangementalso GEO-01
KA-0087
4 points, difficulty 2 of 3Level 5–6not yet calibrated
Two similar triangles have areas of 9 and 25 square units. A side of the smaller one is 6 units. How long is the matching side of the larger one?
GEO-16Scaling and similar figuresalso NUM-11
KA-0088
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Three angles of a quadrilateral are 80, 95 and 110 degrees. What is the fourth angle?
GEO-05Angles on lines, in triangles, in polygonsalso GEO-06

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