Worksheet generator

1.B — odd, 49KA-0002Parity of numbers (odd/even behavior)

• AI decided that adding odd numbers always keeps the total odd, and made an arithmetic slip as well.
• CI paired the numbers up and forgot that with seven numbers one is left over, so I expected an even total.
• DI added correctly but then labelled 49 as even because I had already decided the pairs would make it even.
• EI added only the first six numbers and stopped before including the thirteen.

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.B — 3 centsKA-0010Money and change

• AI found the smallest amount that cannot be made rather than the largest one.
• CI did not notice that 7 is 2 plus 5, so I marked it as impossible without testing it.
• DI only tried using coins of one kind at a time and never mixed the two denominations.
• EI assumed odd amounts are impossible because one of the coins is even.

4.C — 12KA-0013Perimeter and area of rectilinear shapes

• AI counted the unit squares that make up the shape, which is the area rather than the perimeter.
• BI walked around the outline but skipped the two short steps at the inner corner.
• DI added the perimeters of the two rectangles the shape is made of, counting the shared edge twice.
• EI counted the edges of all five unit squares, which counts every internal edge as well.

5.B — 28KA-0035Handshakes and pairs

• AI doubled the number of people, as if each person made two handshakes in total.
• CI let each person shake hands with all eight people including themselves before halving.
• DI multiplied 8 by 7 and forgot that each handshake was counted from both sides.
• EI multiplied 8 by 8, counting every ordered pair including a person with themselves.

6.E — 24KA-0038Building and counting with unit cubes

• AI added the three measurements together instead of multiplying them.
• BI counted one layer of 4 by 3 and forgot that the block is two layers tall.
• CI read the block as 3 by 3 by 2 because the drawing hid the far column.
• DI counted only the cubes whose faces I could actually see in the picture.

7.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.

8.C — 6KA-0054Counting shapes hidden inside a figure

• AI counted only the three small rectangles drawn as separate cells and stopped there.
• BI counted the three small rectangles and the whole one, and forgot the two made of two cells.
• DI counted a rectangle made of the left and right cells, even though they are not next to each other.
• EI assumed any pair of the four vertical lines makes a rectangle without checking each one.

9.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.

10.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.

11.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.

12.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.

13.C — 2/5KA-0141Number lines and betweenness

• AI compared the bottom numbers and assumed a bigger denominator means a bigger fraction.
• BI saw that 4 lies between 3 and 2 and assumed one quarter therefore lies between the two fractions.
• DI checked that it is bigger than one third but never checked it against one half.
• EI compared the top numbers only and ignored what the bottoms do to the size.

14.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.

15.E — Not all birds can flyKA-0146Reading a logical statement precisely

• AI read some cannot as meaning none can, which is a far stronger claim.
• BI chose a statement that directly contradicts the one I was given.
• CI read some as meaning a majority, when it only guarantees at least one.
• DI read some as meaning exactly one, when it means at least one.

16.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.

17.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.

18.C — 4KA-0161Remainders and modular cycles

• AI assumed the cycle ends on 1 at every exponent that is a multiple of 2.
• BI used a remainder of 1 rather than 2 when dividing 50 by 3.
• DI doubled my way to 2 cubed = 8 and used 8 minus 2.
• EI assumed a large power of 2 must eventually be divisible by 7.

19.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.

20.A — 33KA-0171Recursive rules

• BI used the rule 2a(n) - 1 but started the sequence at 1 instead of 2.
• CI doubled six times and ignored the minus one entirely.
• DI stopped at a(5), one term early.
• EI computed 2^6 - 1, applying the minus one only once at the very end.