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2021 Math Kangaroo Grades 5-6 past paper

Suitable for 5-6 Grade, 30 MC questions.

Sample ProblemsDownload PDF
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30 Questions
75 Minutes
3/4/5 Tiered Scoring
No Calculator
Exam Overview

Exam Overview

Probability, noteheavyrealboundaryapplicationscenario.

DDifficulty

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

TTopics

  • Fraction Operations25%
  • Geometry25%
  • Number Theory20%
  • Combinatorics15%
  • Logic15%

AAwards

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

2021 Kangaroo Level C Sample Problems (8 questions)

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

Q 2Easy 3 pointsdecimal
0.25+0.75 = ?
A) 0.9
B) 1
C) 1.25

Steps

11
Answer: Bdecimaladdmethod
Q 7Easy 3 pointsarea
trianglebase 12 height 8 area?
A) 20
B) 48
C) 96

Steps

1?×12×8=48
Answer: Bareaformulas
Q 11Medium 4 pointsfraction
1/4+1/5 = ?
A) 2/9
B) 9/20
C) 1/2

Steps

15/20+4/20=9/20
Answer: Bcommon denominator
Q 15Medium 4 pointsProbability
2 red 3 blue 5 greentake 1 bluesphereProbability?
A) 1/5
B) 3/10
C) 1/2

Steps

13/10
Answer: Bbasic Probability
Q 20Medium 4 pointsNumber Theory
60 and 45 of maximumcommonfactor?
A) 5
B) 10
C) 15

Steps

1GCD=3×5=15
Answer: Cprimefactor pointssolution
Q 24Hard 5 pointscombination
5 peoplechoose 2 people form teams how many ways?
A) 8
B) 10
C) 20

Steps

1C(5,2)=10
Answer: BCombinatorics
Q 28Hard 5 pointsarea
squarediagonal 10 area?
A) 25
B) 50
C) 100

Steps

1102/2=50
Answer: Bdiagonalarea
Q 30Hard 5 pointslogic
3 peopleonly 1 peoplesaidtruewords: AsaidBsaidlie, BsaidCsaidlie, Csaidnotsaidlie. who true?
A) A
B) B
C) C

Steps

1assumeBtrue→Cfalse→Afalse(BnotsaidliebutBtrue)→Afalse?
2onlyBsaidtruewords
Answer: Bassume one by one

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