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2022 Math Kangaroo Grades 7-8 past paper

Suitable for 7-8 Grade, 30 MC questions.

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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

  • 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

2022 Kangaroo Level D Sample Problems (8 questions)

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

Q 3Easy 3 pointsequation
2(x+3)=x+10, x=?
A) 3
B) 4
C) 5

Steps

12 x+6=x+10,x=4
Answer: BExpandmoveterm
Q 7Easy 3 pointsGeometry
isosceles triangle vertex angle 80°baseangle?
A) 40°
B) 50°
C) 80°

Steps

1(180-80)/2=50
Answer: Bisosceles triangle
Q 11Medium 4 pointsdivisible
1-50 middle by 2 divisible butnotby 5 divisiblehas several?
A) 15
B) 20
C) 25

Steps

125-5=20
Answer: Binclusion-exclusionoriginalreasoning
Q 16Medium 4 pointsProbability
rolltwopiecehardcoinat least 1piecepositivefaceof Probability?
A) 1/4
B) 1/2
C) 3/4

Steps

11-P(wholereverse)=1-1/4=3/4
Answer: Ccomplementmethod
Q 21Hard 5 pointsAlgebra
x2-7 x+12=0 two ofand?
A) 5
B) 7
C) 12

Steps

1Vietacertainreasoning=7
Answer: BVietacertainreasoning
Q 25Hard 5 pointsGeometry
trapezoidtwo base 6 and 10 height 5 area?
A) 30
B) 40
C) 50

Steps

1(6+10)×5÷2=40
Answer: Btrapezoidarea
Q 28Hard 5 pointscombination
7 peoplechoose 2 peoplewhenpositivepairclasslength how many ways?
A) 21
B) 35
C) 42

Steps

17×6=42
Answer: Cpermutationnumber
Q 30Hard 5 pointsNumber Theory
primeN>5, N2divided by 12 remainder?
A) 0
B) 1
C) 5

Steps

172=49 remainder 1,112=121 remainder 1→remainder 1
Answer: Bverifyprovefindrulelaw

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