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2025 Math Kangaroo Grades 3-4 past paper

Suitable for 3-4 Grade, 24 MC questions, cover4 then operation, Shape & Patternand Logic.

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24 Questions
75 Minutes
3/4/5 Tiered Scoring
No Calculator
Exam Overview

Exam Overview

2025 years Competitioncreativeincreases, figureshapeand Logic proportionimprove.

DDifficulty

  • 3 pointsQ 1-10
  • 4 pointsQ 11-20
  • 5 pointsQ 21-30

TTopics

  • 4 then operation30%
  • Shape & Pattern25%
  • Logic25%
  • CountingGeometry20%

AAwards

Super Gold
Top 1%
90+
Gold
Top 5%
80+
Silver
Top 15%
65+
Bronze
Top 30%
50+
Sample Problems

2025 Kangaroo Level B Sample Problems (8 questions)

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

Q 1Easy 3 points4 then operation
calculate 25 × 4 - 36 ofresults.
A) 54
B) 64
C) 74

Steps

125×4=100
2100-36=64
Answer: Bfirstmultiplydivided by backaddsubtract
Q 4Easy 3 pointsShape & Pattern
belowcolumnfigureshapemiddle, which 1 notcanfromitshefigureshapethrough rotationget?
A) figureshapeA(Lshape)
B) figureshapeB(reverseLshape)
C) figureshapeC(Tshape)

Steps

1Lshaperotationcan getreverseLshape
2Tshaperegardlesshow rotationallnotcanchangebecomeLshape
3Tshapeisalonespecialof
Answer: Crotationnotchangechangefigureshapeof'handproperty'
Q 8Easy 3 pointsdigitspuzzle
at □×3+5=29 middle, □substituteclockofnumberhow much is?
A) 6
B) 7
C) 8

Steps

1□×3=29-5=24
2□=24÷3=8
Answer: Cinverseoperation: firstsubtractback divided by
Q 10Medium 4 pointsareacalculate
1 rectangleof perimeter is 20 cm, lengthis width of 4 times. area how much is?
A) 12
B) 16
C) 20

Steps

1letwidthis x, length is 4 x
22(x+4 x)=20, x=2
3length=8, width=2, area=16
Answer: Bperimeterformulasreversepushside length
Q 14Medium 4 pointsLogic
A, B, C 3 peoplematchrun. Asaid: 'Inot#1 alsonotmostback'. Bsaid: 'IthanAfast'. who is#1name?
A) A
B) B
C) C

Steps

1A not#1 alsonotmostback → A is#2
2BthanAfast → B is#1
3C is#3
Answer: Browdivided bymethoddetermineplace
Q 18Hard 5 pointsCombinatorics
from 1-9 middleselecttwo differentnumber, makethemof andis even. how many kindschoosemethod?
A) 12
B) 16
C) 20

Steps

1andis even: two odd or two even
2oddchoose 2: C(5,2)=10
3evenchoose 2: C(4,2)=6
4total 10+6=16 kinds
Answer: Boddevenpropertydecidecertainand ofoddeven
Q 21Hard 5 pointsmathematical thinking
1 rope correctfold 3 times backcut 1knife, cutbreakbackrope changebecomeseveralsegment?
A) 5
B) 7
C) 9

Steps

1correctfold3 times back has 23=8 layer
2cut 1knifequiteatcut8 rope
38+1=9 segment(middlebetween ofcut pointtakeperlayerpointsbecome 2, butfoldfoldendpointconnect)
Answer: Ccorrectfoldn timescut 1knife = 2^n+1
Q 24Hard 5 pointsNumber Theory
1 two-digit number, eachdigitsofand is 9, andthisnumberdivisible by 4 divisible. thisnumbermaximum how much is?
A) 36
B) 72
C) 81

Steps

1eachand is 9 of two-digit number: 18,27,36,45,54,63,72,81,90
2divisible by 4 divisible of: 36,72
3maximum is 72
Answer: Benumerate+Filter

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