Worksheet generator

1.A — 12KA-0110Bar models for part–whole

• BI split the 48 into three parts instead of the four the bars actually make.
• CI halved the total, as if the two of them had the same number each.
• DI found Bo's share correctly but then gave Ana's number instead.
• EI gave Ana's total, which is three of the four boxes, rather than Bo's one.

2.D — 55KA-0118Reading tables, charts, and graphs

• AI read the axis as going up in ones and added the gridline heights instead of the values.
• BI gave the tallest bar rather than the total of all four.
• CI added only three of the four bars, missing the shortest one.
• EI read the shortest bar as 10 rather than 5, because the axis steps in fives.

3.A — 8KA-0144Translating a sentence into an equation

• BI subtracted 8 from 19 rather than working the two steps backwards.
• CI subtracted the 3 from 19 and gave that without halving it.
• DI added the 3 to 19 instead of subtracting it.
• EI doubled 19 and added 3, applying the machine forwards instead of undoing it.

4.D — 120KA-0036Rate, time, distance

• AI worked out the cycling leg and gave that as the answer, forgetting the walk entirely.
• BI worked out the walking leg and gave that as the answer, forgetting the cycling entirely.
• CI wrote half an hour as 15 minutes instead of 30 and added it to the 90 minute walk.
• EI rounded the cycling leg up to a whole hour instead of keeping it as half an hour.

5.B — 2 hoursKA-0044Combined work rates

• AI subtracted the two times from each other rather than adding the rates.
• CI averaged the two times, which would only be right if the taps took turns instead of running together.
• DI added the two times together, which makes the tank slower with two taps than with one.
• EI used the faster tap's time alone and ignored the contribution of the slower one.

6.B — 4KA-0111Age problems

• AI aged only the child and left the mother's age unchanged.
• CI looked for when the mother is four times as old rather than three times.
• DI used the age difference of 24 and halved it, without checking the ratio it gives.
• EI gave the difference between their ages, which never changes, instead of a number of years.

7.A — 48 km/hKA-0174Rate, time, distance

• BI averaged the two speeds, which would only be right if equal TIME were spent at each, not equal distance.
• CI weighted the two speeds by their own values instead of by the time each leg took.
• DI halved the correct answer, dividing by the total distance twice.
• EI added the two speeds together, which gives a number faster than either leg and so cannot be an average of them.

8.B — 11KA-0112Mixtures and weighted averages

• AI averaged the two averages, ignoring that the classes are different sizes.
• CI weighted the averages but used the wrong class size against each one.
• DI leaned towards the larger class's average without computing the totals.
• EI added the two averages together instead of combining them.

9.C — 750KA-0137Multi-step arithmetic word problems

• AI poured out half instead of a third and then forgot to add the 150 ml back.
• BI poured out the third correctly but never added the 150 ml.
• DI assumed the 150 ml added back was the same as the amount poured out, so nothing changed.
• EI added the 150 ml to the full jug without pouring anything out first.

10.A — 2 hours 24 minutesKA-0159Combined work rates

• BI averaged the two times, but two taps together must be faster than either one alone.
• CI added the two times, which would be right for filling two tanks one after the other.
• DI halved the smaller of the two times, guessing that two taps must simply be twice as fast as one.
• EI found 2 hours 24 minutes correctly and then halved it a second time.