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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.Which of these is closest to the number of seconds in one day?[3]
A1440
B3600
C24000
D60000
E86400
2.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
3.Which of these numbers has exactly 6 different whole-number factors, counting 1 and the number itself?[4]
A12
B15
C16
D25
E27
4.A rectangle has an area of 36 and sides that are whole numbers. Which of these could NOT be its perimeter?[4]
A24
B26
C28
D30
E40
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.Work out 17 x 24, then check it a second way before you commit to an answer.[4]
A340
B368
C388
D398
E408
7.A number is 4 more than a third of itself. Which of the choices is that number?[5]
A3
B6
C8
D12
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 1 · 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.E — 86400KA-0124Estimate to the nearest choice
AI gave the number of minutes in a day instead of the number of seconds.
BI gave the number of seconds in one hour rather than in a whole day.
CI multiplied the 24 hours by a round thousand instead of converting properly.
DI multiplied 60 by a round thousand, using one conversion and inventing the other.
2.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.
3.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.
4.C — 28KA-0123Eliminate impossible choices by bounding
AI ruled out the square 6 by 6, forgetting that a square is a rectangle.
BI did not think to try 4 by 9, so I judged this perimeter impossible.
DI missed the 3 by 12 rectangle when listing the factor pairs.
EI stopped listing factor pairs before reaching 2 by 18.
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.E — 408KA-0129Sanity-check with a second method
AI worked out 17 times 20 and forgot to add the 17 times 4 part.
BI worked out 17 times 4 as 28 instead of 68 when adding the parts together.
CI worked out 17 times 4 as 48 instead of 68 when adding the parts together.
DI made a carrying slip of ten in the final addition of the two parts.
7.B — 6KA-0045Back-solve from the answer choices
AI tested the smallest choice first and stopped at the first one that felt about right.
CI read a third of itself as three times itself and solved the wrong equation.
DI reversed the comparison, finding a number whose third is 4 less than itself in the wrong direction.
EI picked the largest choice because dividing by three made me expect a big starting number.
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.