2014 Math Kangaroo Level F (Grades 11-12) Papers & Answers

Exam Overview

2014 years Geometry, spacebetweenthinkobjectskillsconsiderobserveaddstrong.

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

2014 Kangaroo Level F Sample Problems (8 questions)

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

Q 2Easy 3 pointsGeometry

Rectangle 6 by 4. Perimeter?

A) 20

B) 24

C) 10

Steps

12(6+4)=20

Answer: APerimeter

Q 7Easy 3 pointsNumber Theory

2^5 = ?

A) 32

B) 16

C) 64

Steps

12x2x2x2x2=32

Answer: APowers

Q 12Medium 4 pointsCombinatorics

5 people stand in a row. How many ways if A and B must be adjacent?

A) 24

B) 48

C) 120

Steps

1Tie A,B as one unit: 4! x 2! = 48

Answer: BBundling

Q 17Medium 4 pointsGeometry

Ratio of inscribed regular hexagon area to circle area?

A) 2/3

B) 3√3/(2π)

C) √3/π

Steps

1Hexagon area=6(√3/4)r²=3√3r²/2, circle=πr², ratio=3√3/(2π)

Answer: BRegular hexagon

Q 22Hard 5 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 26Hard 5 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 29Hard 5 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 30Hard 5 pointsSequence

10th term of 3,7,11,...?

A) 39

B) 43

C) 47

Steps

1a10=a1+9d=3+9x4=39

Answer: AArithmetic sequence

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2014 Math Kangaroo Grades 5-6 past paper

Scan to get 2014 Level F (Grades 11-12) PDF + Answers

Exam Overview

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2014 Kangaroo Level F Sample Problems (8 questions)

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All Years — Level F (Grades 11-12)

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2014 Math Kangaroo Grades 5-6 past paper

Scan to get 2014 Level F (Grades 11-12) PDF + Answers

Exam Overview

DDifficulty

TTopics

AAwards

2014 Kangaroo Level F Sample Problems (8 questions)

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Get Full 2014 Kangaroo Level F Exam + Solutions

All Years — Level F (Grades 11-12)

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