2023 Math Kangaroo Level D (Grades 7-8) Papers & Answers

Exam Overview

Geometry, Suitable formakeis modulusconsidermaterial.

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

2023 Kangaroo Level D Sample Problems (8 questions)

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

Q 2Easy 3 pointsequation

x2=144, x>0, x=?

A) 10

B) 12

C) 14

Steps

1122=144

Answer: Bsquare rootof findsolution

Q 6Easy 3 pointsGeometry

parallelogrambase 8 height 5, area how much is?

A) 13

B) 26

C) 40

Steps

18×5=40

Answer: Cparallelogramarea=base×height

Q 10Easy 3 pointsprime

20 withinsideof primeofand how much is?

A) 47

B) 56

C) 77

Steps

12+3+5+7+11+13+17+19=77

Answer: Cenumerate backfind and

Q 15Medium 4 pointsProbability

1 pairspreadgcards52, randomdraw1 isredcenterof Probability?

A) 1/2

B) 1/4

C) 1/13

Steps

1redcenter 13

213/52=1/4

Answer: BwaitpossiblethingitemProbability

Q 19Medium 4 pointsnumbercolumn

1+2+3+...+100 = ?

A) 5000

B) 5050

C) 5100

Steps

1(1+100)×100/2=5050

2heightSfind and

Answer: Barithmetic sequencefind and

Q 24Hard 5 pointsAlgebra

if x+1/x=3, find x2+1/x2.

A) 5

B) 7

C) 9

Steps

1(x+1/x)2=x2+2+1/x2=9

2x2+1/x2=7

Answer: Bsquarebacksubtractgo 2

Q 28Hard 5 pointscombination

8 peoplechoose 3 peoplecomposecommitteemembermeeting, how many kindschoosemethod?

A) 24

B) 56

C) 336

Steps

1C(8,3)=8!/(3!5!)=56

Answer: BCombinatorics

Q 30Hard 5 pointsGeometry

trapezoidonbase 3 belowbase 7 height 4, area how much is?

A) 14

B) 20

C) 28

Steps

1(3+7)×4/2=20

Answer: Btrapezoidareaformulas

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2023 Math Kangaroo Grades 7-8 past paper

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Exam Overview

DDifficulty

TTopics

AAwards

2023 Kangaroo Level D Sample Problems (8 questions)

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2023 Math Kangaroo Grades 7-8 past paper

Scan to get 2023 Level D (Grades 7-8) PDF + Answers

Exam Overview

DDifficulty

TTopics

AAwards

2023 Kangaroo Level D Sample Problems (8 questions)

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