Worksheet generator

1.C — 4KA-0001Counting by position (sliding window)

• AI split the board into separate 2 by 2 blocks and only one whole block fitted, so I answered one.
• BI slid the square across the top row and found two positions, then forgot it can also move down.
• DI counted the four sliding positions and then added the two whole rows of the board as well.
• EI counted the nine small squares on the board instead of the 2 by 2 squares.

2.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.

3.A — the rectangleKA-0004Line and rotational symmetry

• BI found the vertical fold that works and assumed a second one must work as well without testing it.
• CI saw that the star looks very symmetric and picked it without counting how many lines of symmetry it actually has.
• DI counted the horizontal fold and then counted the vertical one too, even though the two halves do not match.
• EI only tested vertical folds on every shape and concluded that no shape had two lines.

4.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.

5.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.

6.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.

7.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.

8.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.

9.B — the straight line of sixKA-0048Nets and folding, 2D to 3D

• AI assumed any arrangement that is not a simple line must fail to fold.
• CI thought a staircase would overlap when folded, without tracking a single face through the fold.
• DI picked the cross because it looks unusual, even though it is the most familiar cube net there is.
• EI checked that each arrangement had six squares and assumed six squares is enough.

10.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.

11.C — 14KA-0051Complementary counting

• AI counted the multiples of 3 and gave that instead of the numbers that are not multiples.
• BI counted 21 as a multiple of 3 inside the range, so I removed one too many.
• DI removed only the multiples of 3 that are also even, so I subtracted three instead of six.
• EI gave the size of the whole range and forgot to remove anything at all.

12.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.

13.C — 70KA-0055Place value and digit positions

• AI gave the last digit of the number instead of looking at the 7 at all.
• BI gave the digit itself rather than what it is worth in the position it sits in.
• DI counted the positions from the left, so I read the 7 as being in the hundreds place.
• EI gave the value of the largest digit instead of the value of the 7.

14.C — 210KA-0057Clever regrouping (pair to round numbers)

• AI paired the numbers from the outside in but left the 20 out of every pair, so I added only up to 19.
• BI estimated the total as a round number instead of working it out.
• DI used eleven pairs of 20 instead of ten pairs of 21.
• EI multiplied 20 by 21 and forgot that pairing counts every number twice.

15.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.

16.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.

17.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.

18.E — the two diagonals are the same lengthKA-0079Properties of triangles and quadrilaterals

• AI confused a rectangle with a square, which is only one special kind of rectangle.
• BI remembered a fact about squares and rhombuses and applied it to every rectangle.
• CI counted the two diagonals as lines of symmetry, which only works for a square.
• DI used the angle sum of a triangle on a four-sided shape.

19.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.

20.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.

21.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.

22.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.

23.B — 280KA-0114Money and change

• AI subtracted the cost of one notebook rather than all three.
• CI bought two notebooks instead of three.
• DI gave the total cost of the notebooks instead of the change.
• EI converted the 10 euro note to 1000 cents but subtracted the price of only one notebook after doubling it.

24.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.

25.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.

26.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.

27.B — Write an answer for every one of themKA-0127Never leave a blank — there is no penalty

• AI treated guessing as dishonest, but the rules of the paper explicitly allow it and cost nothing.
• CI answered one and left two blanks that could each have scored, at no risk.
• DI tried to communicate with the marker, but only the answers are scored.
• EI offered working on a paper where only the chosen letter is marked.