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2020 Math Kangaroo Grades 7-8 past paper

Suitable for 7-8 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

  • Algebra25%
  • Geometry20%
  • Number Theory20%
  • Probability15%
  • combination20%

AAwards

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

2020 Kangaroo Level D Sample Problems (8 questions)

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

Q 3Easy 3 pointsequation
x/3+2=5, x=?
A) 6
B) 9
C) 15

Steps

1x/3=3,x=9
Answer: B1 yuan 1 times
Q 8Easy 3 pointsGeometry
3 side 3,4,5 iswhat triangle?
A) acute angle
B) right angle
C) obtuse angle

Steps

19+16=25?
Answer: BPythagoreaninversecertainreasoning
Q 13Medium 4 pointsdivisible
1-100 middle by 7 divisiblehas several?
A) 12
B) 13
C) 14

Steps

1100÷7=14
Answer: Cdivisible counting
Q 18Medium 4 pointsProbability
5 red 3 whitetake 2 allredProbability?
A) 5/14
B) 15/56
C) 5/8

Steps

1C(5,2)/C(8,2)=5/14
Answer: AcombinationProbability
Q 23Hard 5 pointsAlgebra
x+1/x=4 findx2+1/x2
A) 12
B) 14
C) 16

Steps

116-2=14
Answer: Bsquarechangeshape
Q 27Hard 5 pointsnumbercolumn
1+3+5+...+99 = ?
A) 2500
B) 2550
C) 5000

Steps

1502=2500
Answer: Aodd and=n2
Q 29Hard 5 pointscombination
10 peoplepoints twogroupeach 5 peoplehow many ways?
A) 63
B) 126
C) 252

Steps

1C(10,5)/2=126
Answer: Bpointsgroupdivided by 2
Q 30Hard 5 pointsNumber Theory
gcd(84,126) = ?
A) 21
B) 42
C) 63

Steps

12×3×7=42
Answer: Bprimefactor pointssolution

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