Sample Problems
2024 Kangaroo Level B Sample Problems (8 questions)
Selected problems across difficulty tiers — click an option to check your answer
Q 3Easy 3 pointsmixedcombinedoperation
calculate 100 - 25 × 3 + 10 ofresults.
Steps
1firstcalculatemultiplymethod: 25×3=75
2100-75+10=35
Answer: Aoperationsequenceorder: firstmultiplydivided by backaddsubtract
Q 7Easy 3 pointsperimeter
1 squareof perimeter is 36 cm, itof area how much is?
Steps
1side length=36÷4=9
2area=9×9=81
Answer: Bfromperimeterfindside lengthagainfindarea
Q 10Medium 4 pointstime
fromonnoon 8:45 tobelownoon 2:15, classicpassedhow much time?
A) 5 h
B) 5 h 15 points
C) 5 h 30 points
Steps
18:45 to 12:00 is 3 h 15 points
212:00 to 2:15 is 2 h 15 points
3total 5 h 30 points
Answer: Cpointssegmentcalculateacrossmiddlenoonof time
Q 14Medium 4 pointsdigitspuzzle
ABCD is 1 four-digit number, A+B=C, B+C=D. if A=1, B=2, thisnumberhow much is?
Steps
1C=A+B=1+2=3
2D=B+C=2+3=5
3ABCD=1235
Answer: Apress itemone by onestepcalculate
Q 18Hard 5 pointsarea
1 rectangle by pointsbecome 4 smallrectangle. of which 3 arearespectively is 6, 10, 15. #4 area how much is?
Steps
1correctangleareaofproductequal
26×15=90
310×?=90
4?=9
Answer: Bpoints rectangleof area relationship
Q 21Hard 5 pointslogic
1 columntrainhas 5 sectioncarriage, numbernumberfromlefttorightincreasing. alreadyknow: 3 numbernotatmostleftalsonotatmostright, 1 numberat 3 numberleftside, 5 numberat 4 numberrightside. 2 numberatwhichsection?
A) #1 section
B) #2 section
C) #4 section
Steps
15 sectioncarriagenumbernumberincreasingpermutation
2numbernumber 1,2,3,4,5 fromlefttoright
32 numbercarriageat#2 units digitplace
Answer: Acarefullyreasoningsolution'numbernumberincreasing'ofcontainmeaning
Q 23Hard 5 pointscombination
using 0,1,2,3 4 digits composenothasheavycomplex numbercharacterof three-digit number, totalcancompose how much?
Steps
1hundreds digit: 1,2,3(3 kinds)
2tens digit: remaining 3 digits middlechoose 1(3 kinds)
3units digit: remaining 2 digits middlechoose 1(2 kinds)
43×3×2=18
Answer: Chundreds digitnotcanis 0
Q 24Hard 5 pointsthinkingdimension
take 100 unfoldbecomeifdopositive integerofand(at least 2), makethemofmultiplyproductmaximum. maximummultiplyproducthow much is?
A) about e^37
B) 3^32×4
C) 2^50
Steps
1notusing 1(multiply 1notusing)
2notusing greater than 4 ofnumber(5 canunfoldbecome 2+3, 2×3=6>5)
3excellentfirstusing 3(mostconnectneare)
4100=3×32+4
5multiplyproduct=3^32×4
Answer: Bmostexcellentunfoldpoints: as much asquantitymanyusing 3
