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The whole Atlas

Number & Arithmetic15
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Patterns & Sequences7
Modeling & Word Problems10
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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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84 problemsClear all filters

KA-0021
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Today is Tuesday. What day of the week will it be in 100 days?
NUM-06Remainders and modular cyclesalso PAT-03
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-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-0025
5 points, difficulty 3 of 3Level 5–6not yet calibrated
Four beads - one red, one green, one blue, one yellow - are threaded on a circular bracelet. Two bracelets are the same if one can be rotated into the other. How many different bracelets are there?
CNT-15Counting up to symmetryalso CNT-05, GEO-08
KA-0026
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A jacket costs 80 euros. Its price is reduced by 25%. What is the new price?
NUM-10Percentages and simple discountsalso 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-0028
5 points, difficulty 3 of 3Level 5–6not yet calibrated
Seven cups all stand upside down. In one move you must turn over exactly two cups. Can all seven ever stand the right way up?
LOG-05Parity argumentsalso NUM-03, LOG-09
KA-0029
3 points, difficulty 1 of 3Level 5–6not yet calibrated
A rope is 3.5 metres long. A second rope is 240 centimetres long. How much longer is the first rope, in centimetres?
MOD-07Unit conversionalso NUM-09
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
KA-0031
5 points, difficulty 3 of 3Level 5–6has a figurenot yet calibrated
On the street grid shown you may only walk right or down. One junction is closed. How many routes go from the top-left corner to the bottom-right corner?
CNT-07Counting paths on a gridalso CNT-03, GEO-02
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

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