2025 Math Kangaroo Level C (Grades 5-6) Papers & Answers

Sample Problems

2025 Kangaroo Level C Sample Problems (8 questions)

Selected problems across difficulty tiers — click an option to check your answer

Q 1Easy 3 pointsFraction Operations

calculate 1/2 + 1/3 + 1/6 ofvalue.

A) 1

B) 5/6

C) 2/3

Steps

1common denominator: 3/6 + 2/6 + 1/6

2= 6/6 = 1

Answer: A1/2+1/3+1/6=1 isClassicwaitexpression

Q 3Easy 3 pointsareacalculate

square ABCD side length is 6, E is AB midpoint. triangle AED of area how much is?

A) 6

B) 9

C) 12

Steps

1E is AB midpoint, AE=3

2trianglebaseAE=3, heightAD=6

3area=1/2×3×6=9

Answer: Bfindidentifybaseand height

Q 5Easy 3 pointsNumber Theory

at 1-50 middle, divisible by 3 divisible butnotdivisible by 5 numbers divisible by how many?

A) 10

B) 13

C) 14

Steps

1divisible by 3 divisible of: 50÷3=16(takeinteger)

2divisible by 15 divisible of: 50÷15=3

316-3=13

Answer: Binclusion-exclusionoriginalreasoning

Q 8Easy 3 pointsLogic

if all ofcatallisanimals, all ofanimalsallneedwater, then and belowwhichconcludetheorymust positivecorrect?

A) all ofwaterallisgivecatof

B) all ofcatallneedwater

C) needwaterofalliscat

Steps

1cat?animals?needwater

2thereforecat?needwater

3i.e. allcatallneedwater

Answer: B3 segmenttheorypushreasoning

Q 11Medium 4 pointsfraction application

1bucketwater, #1 days usinggo 1/4, #2 days usinggoremaining of 1/3. still remaining how much?

A) 1/4

B) 1/3

C) 1/2

Steps

1#1 days backremaining 3/4

2#2 days usinggo 3/4×1/3=1/4

3remaining 3/4-1/4=1/2

Answer: Cnote'remaining of'isclosekey

Q 14Medium 4 pointsGeometry

1 isosceles triangleof vertex angle is 40°, baseangleeach how much is°?

A) 40°

B) 60°

C) 70°

Steps

1triangleinsideangleand=180°

2two baseangleand=180°-40°=140°

3perbaseangle=70°

Answer: Cisosceles triangletwo baseangleequal

Q 18Medium 4 pointsCombinatorics

5 peoplestandbecome 1 row, of whichAand Bmustmutualadjacent. how manykinds permutationmethodexpression?

A) 24

B) 48

C) 120

Steps

1takeAand Bbindat 1 upviewmake 1 element

24 elementwholepermutation: 4!=24

3Aand Binsidepartcanexchange: 24×2=48

Answer: Bbundlemethodatreasoningmutualadjacentproblem

Q 25Hard 5 pointsNumber Theory

1 three-digit number, hundreds digitis units digit of 2 times, tens digitis hundreds digitand units digitofand. thisthree-digit number how much is?

A) 231

B) 462

C) 693

Steps

1letunits digitis a, hundreds digit is 2 a, tens digit is 3 a

2a is 1-9 middleof digits, and 2 a≤9, 3 a≤9

3a≤3, and 3 a≤9 → a≤3

4a=1: 311(notrow, tens digit 3≠2+1=3 ?)→ realboundaryon 312(2×1=2,2+1=3)→ 231

5a=2: hundreds digit 4,tens digit 6,units digit 2 → 462 ?

6a=3: hundreds digit 6,tens digit 9,units digit 3 → 693 ?

73 allcan, butitemsaid'1'→checkcheckwhichsatisfy all item

8462: hundreds digit 4=2×2 ?, tens digit 6=4+2 ?

Answer: Bletunknownbuildcubeprocess

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2025 Math Kangaroo Grades 5-6 past paper

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2025 Math Kangaroo Grades 5-6 past paper

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2025 Kangaroo Level C Sample Problems (8 questions)

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