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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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21 problemsClear all filters

KA-0116
4 points, difficulty 2 of 3Level 5–6not yet calibrated
One pipe fills a pool in 12 hours and another fills it in 4 hours. With both running, how many hours does the pool take to fill?
MOD-04Combined work ratesalso MOD-03
KA-0117
4 points, difficulty 2 of 3Level 5–6not yet calibrated
A train covers 150 km at a steady 60 km per hour. How many minutes does the journey take?
MOD-03Rate, time, distancealso MOD-07
KA-0118
3 points, difficulty 1 of 3Level 3–4has a figurenot yet calibrated
The chart shows how many books four children read. How many did they read altogether?
MOD-09Reading tables, charts, and graphsalso NUM-13, MOD-10
KA-0137
5 points, difficulty 3 of 3Level 3–4not yet calibrated
A jug holds 900 ml of juice. A third is poured out, then 150 ml is added. How many millilitres are in the jug?
MOD-10Multi-step arithmetic word problemsalso NUM-09, MOD-07
KA-0144
3 points, difficulty 1 of 3Level 5–6not yet calibrated
Three more than twice a number is 19. What is the number?
MOD-01Translating a sentence into an equationalso LOG-08
KA-0159
5 points, difficulty 3 of 3Level 7–8not yet calibrated
One tap fills a tank in 6 hours. A second tap fills the same tank in 4 hours. Both taps are opened together on an empty tank. How long does it take to fill?
MOD-04Combined work ratesalso NUM-09, CFT-11
KA-0162
3 points, difficulty 1 of 3Level 9–10not yet calibrated
Two towns are 300 km apart. A car leaves each town at the same moment driving toward the other, one at 60 km/h and the other at 90 km/h. How long until they meet?
MOD-03Rate, time, distancealso CFT-02, CFT-11
KA-0165
4 points, difficulty 2 of 3Level 9–10not yet calibrated
Four litres of a solution that is 25 percent acid are mixed with six litres of a solution that is 50 percent acid. What percentage of the mixture is acid?
MOD-08Mixtures and weighted averagesalso NUM-10, CFT-10
KA-0174
4 points, difficulty 2 of 3Level 11–12not yet calibrated
A driver travels from one town to another at an average of 60 km/h and returns along the same road at an average of 40 km/h. What is the average speed for the whole journey?
MOD-03Rate, time, distancealso MOD-08, CFT-11

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