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2018

2018 Math Kangaroo Grades 5-6 past paper

Suitable for 5-6 Grade, 30 MC questions.

Sample ProblemsDownload PDF
Scan for 2018 Level F (Grades 11-12) PDF

Scan to get 2018 Level F (Grades 11-12) PDF + Answers

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

Exam Overview

BasicQuestion Typeproportionheight, Suitable formakeis Introductorypracticepractice.

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

2018 Kangaroo Level F Sample Problems (8 questions)

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

Q 3Easy 3 pointsNumber Theory
How many integers 1-100 are divisible by neither 3 nor 5?
A) 53
B) 47
C) 54

Steps

1100-⌊100/3⌋-⌊100/5⌋+⌊100/15⌋=100-33-20+6=53
Answer: AInclusion-exclusion
Q 8Easy 3 pointsProbability
Two dice rolled. Probability the sum is 8?
A) 5/36
B) 1/6
C) 7/36

Steps

1Sum 8: (2,6)(3,5)(4,4)(5,3)(6,2)=5 outcomes, 5/36
Answer: AClassical probability
Q 12Medium 4 pointsCounting
Choose 3 balls from 10 distinct balls. How many ways?
A) 120
B) 720
C) 210

Steps

1C(10,3)=10x9x8/(3x2x1)=120
Answer: ACombination
Q 17Medium 4 pointsSequence
10th term of 3,7,11,...?
A) 39
B) 43
C) 47

Steps

1a10=a1+9d=3+9x4=39
Answer: AArithmetic sequence
Q 22Hard 5 pointsGeometry
Triangle sides 5,12,13. Inradius?
A) 2
B) 3
C) 6

Steps

1Right triangle, area=30, semiperimeter=15, r=area/s=2
Answer: AIncircle
Q 26Hard 5 pointsCombinatorics
4 people shake hands once each. Total handshakes?
A) 6
B) 12
C) 24

Steps

1C(4,2)=6
Answer: ACombination
Q 29Hard 5 pointsNumber Theory
gcd(48,36) x lcm(48,36) = ?
A) 48x36
B) 1728
C) 432

Steps

1gcd x lcm = product = 48x36
Answer: Agcd and lcm
Q 30Hard 5 pointsProbability
Flip 3 coins. Probability all heads?
A) 1/8
B) 1/4
C) 3/8

Steps

1(1/2)^3=1/8
Answer: AIndependent events

Get Full 2018 Kangaroo Level F Exam + Solutions

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