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 — 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.

3.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.

4.E — 60KA-0026Percentages and simple discounts

• AI worked out the size of the discount and gave that as the new price instead of subtracting it.
• BI treated a quarter off as half off and took the price down to 40.
• CI applied the 25% reduction twice, taking 80 down to 60 and then 60 down to 45.
• DI subtracted 25 euros rather than 25 percent, treating the percentage as an amount of money.

5.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.

6.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.

7.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.

8.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.

9.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.

10.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.

11.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.

12.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.

13.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.

14.A — 2 hoursKA-0162Rate, time, distance

• BI used only the slower car's speed and divided 300 by 90 the wrong way round.
• CI averaged the two speeds to 75 km/h and divided 300 by it, which ignores that both cars move at once.
• DI divided 300 by 60, using only the slower car.
• EI halved the distance to 150 and then divided by 150, applying the closing speed twice.

15.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.