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Worksheet generator
Pick what you want, print the page. The answer key comes with it, on its own sheet, and it tells you the mistake behind every wrong choice — not just which letter is right.
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1.Bo has 24 marbles and gives a third of them to Ana. How many more marbles does Bo have than Ana now?[3]
A4
B8
C16
D24
E32
2.A cat walks 3 m north, then 4 m east, then 3 m south. How many metres is it now from where it started?[3]
A0
B3
C4
D7
E10
3.Everyone at a meeting shakes hands with everyone else exactly once. There are 66 handshakes in total. How many people are there?[4]
A11
B12
C22
D33
E66
4.Which of these numbers has exactly 6 different whole-number factors, counting 1 and the number itself?[4]
A12
B15
C16
D25
E27
5.A rectangle measures 30 cm by 0.4 m. What is its area in square centimetres?[4]
A0.12
B12
C120
D1200
E12000
6.Twice a number, with 3 added, gives 17. Which of the choices is the number?[4]
A5
B7
C10
D14
E20
7.A diagonal joins two corners of a shape that are not next to each other. How many diagonals does a hexagon have?[4]
A6
B9
C12
D15
E18
8.What is the value of (1 - 1/2) x (1 - 1/3) x (1 - 1/4) x ... x (1 - 1/10)?[5]
A1/10
B1/9
C1/2
D9/10
E1
9.You are 20 minutes into a 75-minute paper of 30 questions, still on question 9, and four minutes in with no progress. What is the best move?[5]
AKeep going — four minutes are already invested
BAnswer it with your best guess, mark it, and move on
CSkip it, leave it blank, and come back at the end
DGo back and re-check questions 1 to 8
EJump to question 30 and work backwards
10.You reach the ten 5-point questions with 18 minutes left. What is the best plan?[5]
AStart at the first and work through in order until time runs out
BRead all ten quickly, pick the two or three that look most doable, and fill in every answer before the end
CSpend the whole time on the last question, since it is the hardest
DAnswer the ones with the shortest statements
EDivide the time evenly, about 1.8 minutes each
Math Kangaroo Star · https://kangaroo-atlas.vercel.app · seed 3 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
Answer key — Math Kangaroo practice
Each wrong choice carries the thinking that produces it. When a student picks C, this is what they were doing.
1.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.
2.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.
3.B — 12KA-0121Try small cases first
AI used the number of hands each person shakes rather than the number of people.
CI doubled the answer, forgetting that the halving has already been done.
DI halved 66 and treated that as the number of people.
EI gave the number of handshakes back as the number of people.
4.A — 12KA-0122Back-solve from the answer choices
BI assumed a number with two different prime factors always has six factors.
CI counted the factors of 16 as six by including a number twice.
DI assumed a square number has six factors without listing them.
EI counted the powers of 3 up to 27 and thought there were six of them.
5.D — 1200KA-0128Check units and re-read before bubbling
AI worked entirely in metres and gave the answer in square metres.
BI multiplied 30 by 0.4 without converting the metres to centimetres at all.
CI converted 0.4 m to 4 cm rather than 40 cm.
EI converted 0.4 m to 400 cm, moving the decimal point one place too far.
6.B — 7KA-0131Back-solve from the answer choices
AI tested the first choice, got 13, and picked it anyway because it was close.
CI added the 3 to 17 instead of subtracting it, then halved the 20 that gave me.
DI subtracted 3 from 17 and gave that without halving it.
EI added 3 to 17 instead of undoing the addition by subtracting it.
7.B — 9KA-0150Try small cases first
AI counted one diagonal from each corner and stopped there.
CI counted three diagonals from each corner but forgot that each one gets counted from both ends.
DI counted every line joining two corners, including the six sides.
EI multiplied six corners by three diagonals each and never halved.
8.A — 1/10KA-0125Spot the trick vs. decide to grind
BI cancelled the chain but stopped one factor early, leaving a 9 on the bottom.
CI worked out the first bracket and assumed the rest made no difference.
DI gave the last bracket on its own instead of the whole product.
EI assumed everything cancels completely, leaving nothing behind.
9.B — Answer it with your best guess, mark it, and move onKA-0126Time triage: now, later, or guess
AI let the time already spent decide, but that time is gone whatever I do next.
CI moved on but left a blank, which scores nothing if I never get back to it.
DI spent time re-reading work I had no reason to doubt, while 21 unseen questions waited.
EI assumed the hardest questions are the best use of time, when the unseen easy ones are worth the same each.
10.B — Read all ten quickly, pick the two or three that look most doable, and fill in every answer before the endKA-0130Managing the 5-point block
AI worked in order, so a hard early question could eat the time meant for easier later ones.
CI assumed the hardest question is worth the most, but every question in this block scores the same.
DI used length as a proxy for difficulty, which is not reliable in this block.
EI spread the time equally, which is too little for the questions I could do and wasted on the ones I could not.