Sample Problems
2026 Kangaroo Level A Sample Problems (24 questions)
Selected problems across difficulty tiers — click an option to check your answer
Q 1Easy 3 pointsfigureshapecounting
using 6 matchsticksat mostcanplaceoutseveral triangle?
Steps
1per 3 place 1 triangle
26÷3=2
Answer: Amatchsticksnottotalusing
Q 4Easy 3 pointsCountingoperation
smallbrightrowteam, frontface 5 peoplebackface 3 people. thisteamtotal severalpeople?
Answer: Bremembercalculateself
Q 7Easy 3 pointsrulelawrecognize
pressrulelawfillnumber: 1, 4, 9, 16, ?
Answer: Bcompletelysquarenumber
Q 10Medium 4 pointsspacebetweenthinkobject
positivemethodsolidhas severalface?
Steps
1onbelowfrontbackleftrighteach 1 correcttotal 6
Answer: Bbasic propertyprime
Q 14Medium 4 pointscounting
1 to 20 middle digits「1」outappearseveral times?
Steps
1units digit: 1,11→2; tens digit: 10-19→10; goheavy 11→total 12
Answer: Cpoints statistics
Q 18Hard 5 pointsLogic
AthanBbig 3 years old, BthanCbig 2 years old. AthanCbigseveralyears old?
Answer: Cone by onestepsubstituteinto
Q 21Hard 5 pointsfigureshapeassemblecombined
square along two diagonalcutopengetseveral triangle?
Steps
1two diagonal pointsbecome 4 isosceles right angletriangle
Answer: Cdiagonalintersectcross
Q 2Easy 3 pointsCountingoperation
2+3+4+5+6 = ?
Steps
1one by onetermmutualadd=20
Answer: Baccumulateadd
Q 3Easy 3 pointsfigureshape
belowfacewhichfigureshapehas 3 side?
A) square
B) triangle
C) circleshape
Steps
1triangle has 3 side
Answer: Bbasic figureshape
Q 5Easy 3 pointscompare
smallbright 8year-older brotherthanhebig 4year-older brotherseveralyears old?
Answer: Baddmethodapplication
Q 6Easy 3 pointscounting
1 onlyhand5 fingerstwoonlyhandseveral?
Answer: CmultiplymethodIntroductory
Q 8Easy 3 pointsrulelaw
2,4,6,8,?
Q 9Easy 3 pointsfigureshape
belowfacewhichnot 4 sideshape?
A) square
B) triangle
C) rectangle
Answer: BfigureshapeCategory
Q 11Medium 4 pointsaddsubtract
37+28 = ?
Q 12Medium 4 pointscompare
whichnumbermaximum: 49,52,38?
Q 13Medium 4 pointscounting
1 weeks hasseveral days 3 weeks hasseveral days?
Q 15Medium 4 pointsfigureshape
rectanglehas several right angle?
Steps
14 angleallis right angle
Answer: Crectanglepropertyprime
Q 16Medium 4 pointsrulelaw
findrulelaw: 1,2,4,7,11,?
Steps
1difference 1,2,3,4→belowdifference 5→16
Answer: Cincreasingdifference
Q 17Medium 4 pointsoperation
50-13-7 = ?
Q 19Hard 5 pointslogic
5 smallfriendspoints 12candiesperpeopleat least 2enough??
A) enough
B) notenough
C) justgood
Answer: Amultiplymethodcompare
Q 20Hard 5 pointsspacebetween
take 1 square correctfoldagaincorrectfolddozenopenback has several foldmark?
Steps
1horizontal and verticaleach 1 total 2 →correctfoldtwo times 4
Answer: Cspacebetweenthinkobject
Q 22Hard 5 pointspushreasoning
fathertodayyears 35 years old5 years frontchild isfather1 halfchild todayyears severalyears old?
Steps
15 years frontfather30child 15→todayyears 20
Answer: Cyears-age
Q 23Hard 5 pointsfigureshape
number 1 numberfiguremiddlehas several square(2×2grid)?
Q 24Hard 5 pointsmathematical thinking
clockface 3 pointintegertimetimehandpointshandincludedangleis several°?
Steps
1perbiggrid30°, 3 pointdifference 3grid=90°
Answer: Bclockfaceangle