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2022 Math Kangaroo Grades 5-6 past paper

Suitable for 5-6 Grade, 30 MC questions, combinatorics questions increases.

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

Exam Overview

combinationcounting quantity increases, Number TheoryDifficultyomithas improve.

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

2022 Kangaroo Level C Sample Problems (8 questions)

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

Q 2Easy 3 pointspercent
80 yuanrise25%back how much?
A) 85
B) 95
C) 100

Steps

180×1.25=100
Answer: Cpercent than
Q 6Easy 3 pointsarea
parallelogrambase 8 height 5 area?
A) 13
B) 26
C) 40

Steps

18×5=40
Answer: Careaformulas
Q 10Easy 3 pointsfactor
48 of factorhas several?
A) 8
B) 10
C) 12

Steps

11,2,3,4,6,8,12,16,24,48→10
Answer: Bbecomecorrectfind
Q 14Medium 4 pointsfraction
Awalk 3/5 Bwalk 2/3 same 1 segmentpathwhomorefar?
A) A
B) B
C) 1sample

Steps

19/15<10/15
Answer: Bcommon denominator compare
Q 19Medium 4 pointspermutation
ABC 3 peoplerow 1 rowAnotatmostleft how many ways?
A) 2
B) 4
C) 6

Steps

13!-2!=6-2=4
Answer: Bcomplementmethod
Q 23Hard 5 pointsarea
squareside length 10 witheachsidemidpointconnectbecomenewsquarearea?
A) 25
B) 50
C) 75

Steps

1diagonal=10, area=102/2=50
Answer: Bmidpointsquare
Q 27Hard 5 pointsNumber Theory
1-200 middle by 4 divisible butnotby 6 numbers divisible byhas several?
A) 33
B) 34
C) 50

Steps

150-16=34
Answer: Binclusion-exclusionoriginalreasoning
Q 30Hard 5 pointslogic
AsaidBsaidlie, BsaidCsaidlie, CsaidABallsaidlie. whosaidtruewords?
A) A
B) B
C) C

Steps

1assumeBtrue→Cfalse→CsaidABallsaidlieis false→at least 1 true→Bcorrectreal true?
2AsaidBsaidlieis false→Bsaidtruewords?
Answer: Bassume one by one

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