Worksheet generator

1.C — 30KA-0006Number lines and betweenness

• AI counted the tick marks and gave the position number instead of reading the value on the scale.
• BI worked out that each gap is worth 10 but then counted only as far as the tick before the arrow.
• DI counted the tick marks rather than the gaps between them, so every gap came out one step too small.
• EI counted the gaps from the right-hand end instead of from zero.

2.C — 11KA-0008Continuing a visual pattern

• AI continued the pattern to the fourth stage and stopped one stage early.
• BI counted only the columns of two and forgot the single dot sitting on top of each pattern.
• DI continued the pattern one stage too far and gave the sixth pattern instead of the fifth.
• EI doubled the third pattern's count, assuming the pattern doubles rather than grows by a fixed amount.

3.C — 6KA-0015Reading tables, charts, and graphs

• AI read the vertical scale as going up in ones instead of in twos.
• BI counted the gridlines between the two bar tops instead of reading the values off the scale.
• DI gave Mia's total instead of the difference between Mia and Leo.
• EI added the two amounts together rather than subtracting to find how many more.

4.D — ThursdayKA-0021Remainders and modular cycles

• AI found the remainder 2 but counted the two days starting from today rather than starting from tomorrow.
• BI divided 100 by 7 and used the quotient of 14, treating the leftover days as if there were none.
• CI remembered there was a remainder but used a remainder of 1 instead of working it out.
• EI counted 100 divided by 7 as 14 remainder 3 instead of remainder 2.

5.C — 55 degreesKA-0022Angles on lines, in triangles, in polygons

• AI assumed the triangle was isosceles because it had a right angle, so I repeated the 35.
• BI assumed a right-angled triangle always has two 45 degree angles.
• DI subtracted 35 from 100 instead of from 90, mixing the angle sum up with a round number.
• EI subtracted only the 35 from 180 and forgot to take off the right angle as well.

6.C — 110KA-0029Unit conversion

• AI subtracted correctly in metres but then gave the answer in metres when centimetres were asked for.
• BI converted 3.5 metres to 35 centimetres instead of 350.
• DI subtracted without converting at all, taking 3.5 away from 240.
• EI added the two lengths instead of finding the difference between them.

7.C — 90 degreesKA-0032Clock geometry: hands, angles, times

• AI gave the angle for one hour mark instead of the three hour marks between the hands.
• BI divided the right angle in half, as if a quarter of the clock were 45 degrees.
• DI used a third of the clock face rather than a quarter of it.
• EI read 3 o'clock as the hands pointing in opposite directions.

8.C — 9:36KA-0041Factors, multiples, LCM and GCD by listing

• AI found the greatest common divisor of 12 and 18 instead of the least common multiple.
• BI added the two intervals together rather than looking for a time that is a multiple of both.
• DI found a common multiple but not the least one, landing on a later coincidence.
• EI multiplied the two intervals together instead of finding their least common multiple.

9.C — 16KA-0050Working backwards

• AI added the 4 and the 6 and stopped, forgetting to undo the halving.
• BI doubled the 6 first and then added the 4, reversing the steps in the wrong order.
• DI doubled the total at the end rather than doubling only the amount left after the first spend.
• EI doubled twice because spending half felt like it needed undoing more than once.

10.D — 4320KA-0059Estimation and order of magnitude

• AI worked out the drips in an hour and stopped there.
• BI multiplied by the 24 hours but forgot the 60 minutes in each one.
• CI used 6 hours in a day, thinking of waking hours rather than a whole day.
• EI used 600 minutes in an hour rather than 60.

11.C — 5KA-0061Operation puzzles and cryptarithms

• AI solved for the triangle and gave that instead of the square.
• BI found the triangle is 4 and gave that number, without going on to the second equation.
• DI halved the 12 instead of dividing it by the three triangles.
• EI subtracted the wrong way round, taking 9 from a number instead of taking the triangle from 9.

12.B — 7KA-0064Fractions of a quantity

• AI divided 28 by 7 instead of taking a quarter of it.
• CI found three quarters of 16 by mistake, mixing up the class size.
• DI found how many did travel by bus and gave that instead of how many did not.
• EI subtracted the 4 quarters as if they were 4 students.

13.C — 6KA-0067Tree diagrams

• AI counted the puddings only and forgot that the main course is also a choice.
• BI added the number of mains to the number of puddings instead of multiplying them.
• DI used three puddings as well as three mains, without reading how many puddings there are.
• EI doubled the answer, as if the order of the two courses made a different meal.

14.C — 9KA-0072Systematic listing

• AI counted only the numbers with two identical digits, like 11, 22 and 33.
• BI required the two digits to be different, even though repeats are allowed.
• DI allowed a fourth digit that was not in the list.
• EI counted three-digit numbers instead of two-digit ones.

15.B — 24KA-0083Perimeter and area of rectilinear shapes

• AI subtracted 6 from 20 and gave that, which is neither a side nor an area.
• CI took the other side to be 20 minus 6 divided by 2, forgetting there are two sides of each length.
• DI multiplied the perimeter by half the known side instead of finding the missing side first.
• EI used 16 as the other side, taking 20 minus 6 plus 2 rather than working from the perimeter properly.

16.C — 12KA-0086Tiling and tessellation

• AI divided the floor area by 3 instead of by the tile area of 2.
• BI laid tiles along the edges only and never filled the middle.
• DI gave the area of the floor rather than the number of tiles that cover it.
• EI multiplied the floor area by the tile area instead of dividing.

17.A — blackKA-0108Repeating cycles and position mod n

• BI got a remainder of 1 but read the last colour of the repeat rather than the first.
• CI thought the pattern had no fixed first tile, even though tile one is given.
• DI assumed a repeating pattern must eventually change.
• EI assumed the pattern runs only for as many tiles as one repeat contains.

18.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.

19.C — 750KA-0113Unit conversion

• AI worked in kilograms and gave the answer in kilograms when grams were asked for.
• BI converted 2.5 kg to 250 g rather than 2500 g.
• DI subtracted 1750 from 3000, mis-converting 2.5 kg as three thousand grams.
• EI subtracted without converting at all, taking 2.5 away from 1750.

20.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.

21.B — 8KA-0119Find what is actually being asked

• AI halved the difference, as if the question asked how many Bo should hand over to make them equal.
• CI gave how many Bo has now rather than how many more he has than Ana.
• DI gave the number Bo started with, without doing anything.
• EI added the two amounts together instead of comparing them.

22.C — 4KA-0120Draw the diagram

• AI assumed the walk was a loop because the north and south distances match.
• BI gave one of the distances walked rather than the distance from the start.
• DI added the two different directions together instead of drawing where the cat ends up.
• EI added up the whole distance walked, which is not the same as the distance from the start.

23.E — 86400KA-0124Estimate to the nearest choice

• AI gave the number of minutes in a day instead of the number of seconds.
• BI gave the number of seconds in one hour rather than in a whole day.
• CI multiplied the 24 hours by a round thousand instead of converting properly.
• DI multiplied 60 by a round thousand, using one conversion and inventing the other.

24.C — HKA-0142Line and rotational symmetry

• AI found the vertical fold and assumed a horizontal one must work too.
• BI found the horizontal fold and stopped without testing the vertical one.
• DI counted the vertical fold twice rather than testing a horizontal one.
• EI mistook turning the letter upside down for folding it, which is rotation rather than symmetry about a line.

25.E — 8KA-0143Systematic listing

• AI counted the two available digits rather than the numbers they can build.
• BI counted the three positions instead of the numbers.
• CI used only two of the three positions when multiplying.
• DI multiplied 2 by 3, mixing the number of digits with the number of positions.

26.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.

27.E — (7, 3)KA-0145Grid coordinates and lattice reasoning

• AI moved left instead of right, subtracting the 4 rather than adding it.
• BI moved left and up, reversing both directions.
• CI swapped the two coordinates round before moving.
• DI moved up instead of down, adding the 2 rather than subtracting it.

28.C — 100 degreesKA-0152Angles on lines, in triangles, in polygons

• AI found the smaller of the two unknown angles and stopped before doubling it.
• BI split the remaining 150 degrees into two equal halves instead of a one-to-two split.
• DI split the remainder evenly into 75 and 75, then doubled one of them.
• EI assumed that the largest angle in a triangle like this must be a right angle.

29.B — 76.80 poundsKA-0153Percentages and simple discounts

• AI assumed a 20 percent rise and a 20 percent fall must cancel because the percentages match.
• CI applied only the fall and forgot the rise.
• DI got the size of the change right but the direction wrong.
• EI applied only the rise and forgot the fall.

30.A — 150 degreesKA-0170Angles on lines, in triangles, in polygons

• BI found the exterior angle and answered with that instead of the interior one.
• CI used 360 divided by 12 subtracted from 195, or otherwise slipped a step in the arithmetic.
• DI gave the total of all twelve interior angles rather than one of them.
• EI used a ten-sided polygon by mistake.