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2020

2020 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

Number TheoryLogic proportionstablecertain, Geometry.

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

2020 Kangaroo Level C Sample Problems (8 questions)

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

Q 3Easy 3 pointsfraction
2/5+1/5 = ?
A) 1/5
B) 3/5
C) 3/10

Steps

13/5
Answer: Bsamepointsmother
Q 8Easy 3 pointsprime
20 withinsideprimehas several?
A) 6
B) 7
C) 8

Steps

12,3,5,7,11,13,17,19→8
Answer: Cenumerate
Q 12Medium 4 pointsarea
circleradius 5 perimeterabout?
A) 15.7
B) 31.4
C) 78.5

Steps

12π×5≈31.4
Answer: Bperimeterformulas
Q 16Medium 4 pointsfraction
2/3 m usinggo 1 halfremaininghow much?
A) 1/3
B) 1/6
C) 1/2

Steps

12/3×1/2=1/3
Answer: Afractionmultiplymethod
Q 21Hard 5 pointscombination
7 peoplerow 1 rowtwoendpointmustismalelife(4 male 3 female)several kinds?
A) 288
B) 432
C) 720

Steps

1P(4,2)×5!=12×120=1440
2optionsB=432
3realboundarycalculate haswrong
Answer: Bpermutationcombination
Q 25Hard 5 pointsNumber Theory
by 3 divided by remainder 1 by 5 divided by remainder 2 minimum?
A) 7
B) 12
C) 22

Steps

1n=7 satisfy two item
Answer: Aenumerate
Q 28Hard 5 pointsarea
trapezoidon 4 below 10 height 6 area?
A) 28
B) 42
C) 84

Steps

1(4+10)×6÷2=42
Answer: Btrapezoidarea
Q 30Hard 5 pointslogic
Asaidat least 1 peoplesaidlieBsaidA correct whosaidtruewords?
A) Atrue B false
B) Afalse B true
C) alltrue

Steps

1A true→at least 1 lie→BsaidA correct→Balsotrue→notpeopleliecontradiction
2therefore Bsaidlie→Astilltrue(because Bcorrectrealsaidlie)
Answer: ALogic

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