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2019 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

GeometryNumber Theory, Logicrichhaschallenge.

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

2019 Kangaroo Level D Sample Problems (8 questions)

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

Q 2Easy 3 pointsequation
3 x-7=14, x=?
A) 5
B) 7
C) 9

Steps

13 x=21,x=7
Answer: B1 yuan 1 times
Q 7Easy 3 pointsGeometry
positive pentagoninsideangleand?
A) 360°
B) 450°
C) 540°

Steps

1(5-2)×180=540
Answer: Cinsideangleand formulas
Q 12Medium 4 pointsNumber Theory
48 and 36 of LCM?
A) 72
B) 96
C) 144

Steps

12?×32=144
Answer: CLCM
Q 17Medium 4 pointsProbability
52 draw cards1 countrykingProbability?
A) 1/4
B) 1/13
C) 1/52

Steps

14/52=1/13
Answer: Bwaitpossible
Q 22Hard 5 pointsAlgebra
x2-9=0 ofsolution?
A) x=3
B) x=±3
C) x=9

Steps

1x=±3
Answer: Bsquare root
Q 26Hard 5 pointsGeometry
positive trianglearea 16√3 side length?
A) 4
B) 6
C) 8

Steps

1a2=64,a=8
Answer: Creversepush
Q 29Hard 5 pointscombination
8 peoplechoose 3 peopleAmustintochooseseveral kinds?
A) 15
B) 21
C) 35

Steps

1C(7,2)=21
Answer: B itemcombination
Q 30Hard 5 pointsNumber Theory
consecutive 3 positive integerproductmust divisible byseveral divisible?
A) 2
B) 3
C) 6

Steps

1musthas even and 3 of multiple→by 6 divisible
Answer: Cdivisibleproperty

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