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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]
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]
3. Everyone at a meeting shakes hands with everyone else exactly once. There are 66 handshakes in total. How many people are there?[4]
4. Which of these numbers has exactly 6 different whole-number factors, counting 1 and the number itself?[4]
5. A rectangle measures 30 cm by 0.4 m. What is its area in square centimetres?[4]
6. Twice a number, with 3 added, gives 17. Which of the choices is the number?[4]
7. A diagonal joins two corners of a shape that are not next to each other. How many diagonals does a hexagon have?[4]
8. What is the value of (1 - 1/2) x (1 - 1/3) x (1 - 1/4) x ... x (1 - 1/10)?[5]
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]
A Keep going — four minutes are already investedB Answer it with your best guess, mark it, and move onC Skip it, leave it blank, and come back at the endD Go back and re-check questions 1 to 8E Jump to question 30 and work backwards10. You reach the ten 5-point questions with 18 minutes left. What is the best plan?[5]
A Start at the first and work through in order until time runs outB Read all ten quickly, pick the two or three that look most doable, and fill in every answer before the endC Spend the whole time on the last question, since it is the hardestD Answer the ones with the shortest statementsE Divide the time evenly, about 1.8 minutes eachKangaroo Atlas · https://kangaroo-atlas.vercel.app · seed 3 · CC BY-NC-SA 4.0 · Independent project, not affiliated with Math Kangaroo in USA, NFP.
1. B — 8 KA-0119 Find what is actually being asked
A I halved the difference, as if the question asked how many Bo should hand over to make them equal.C I gave how many Bo has now rather than how many more he has than Ana.D I gave the number Bo started with, without doing anything.E I added the two amounts together instead of comparing them.2. C — 4 KA-0120 Draw the diagram
A I assumed the walk was a loop because the north and south distances match.B I gave one of the distances walked rather than the distance from the start.D I added the two different directions together instead of drawing where the cat ends up.E I added up the whole distance walked, which is not the same as the distance from the start.3. B — 12 KA-0121 Try small cases first
A I used the number of hands each person shakes rather than the number of people.C I doubled the answer, forgetting that the halving has already been done.D I halved 66 and treated that as the number of people.E I gave the number of handshakes back as the number of people.4. A — 12 KA-0122 Back-solve from the answer choices
B I assumed a number with two different prime factors always has six factors.C I counted the factors of 16 as six by including a number twice.D I assumed a square number has six factors without listing them.E I counted the powers of 3 up to 27 and thought there were six of them.5. D — 1200 KA-0128 Check units and re-read before bubbling
A I worked entirely in metres and gave the answer in square metres.B I multiplied 30 by 0.4 without converting the metres to centimetres at all.C I converted 0.4 m to 4 cm rather than 40 cm.E I converted 0.4 m to 400 cm, moving the decimal point one place too far.6. B — 7 KA-0131 Back-solve from the answer choices
A I tested the first choice, got 13, and picked it anyway because it was close.C I added the 3 to 17 instead of subtracting it, then halved the 20 that gave me.D I subtracted 3 from 17 and gave that without halving it.E I added 3 to 17 instead of undoing the addition by subtracting it.7. B — 9 KA-0150 Try small cases first
A I counted one diagonal from each corner and stopped there.C I counted three diagonals from each corner but forgot that each one gets counted from both ends.D I counted every line joining two corners, including the six sides.E I multiplied six corners by three diagonals each and never halved.8. A — 1/10 KA-0125 Spot the trick vs. decide to grind
B I cancelled the chain but stopped one factor early, leaving a 9 on the bottom.C I worked out the first bracket and assumed the rest made no difference.D I gave the last bracket on its own instead of the whole product.E I assumed everything cancels completely, leaving nothing behind.9. B — Answer it with your best guess, mark it, and move on KA-0126 Time triage: now, later, or guess
A I let the time already spent decide, but that time is gone whatever I do next.C I moved on but left a blank, which scores nothing if I never get back to it.D I spent time re-reading work I had no reason to doubt, while 21 unseen questions waited.E I 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 end KA-0130 Managing the 5-point block
A I worked in order, so a hard early question could eat the time meant for easier later ones.C I assumed the hardest question is worth the most, but every question in this block scores the same.D I used length as a proxy for difficulty, which is not reliable in this block.E I spread the time equally, which is too little for the questions I could do and wasted on the ones I could not.