5.121Calculus
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- Difficulty 5 of 9+125 XP
5.122Geometry
LockedA triangle in a hexagon
Difficulty 5 of 9+125 XP5.123Combinatorics
LockedTriangles in a grid
Difficulty 5 of 9+125 XP5.124Arithmetic
LockedWhen the smaller deposit catches up
Difficulty 5 of 9+125 XP5.125Probability
LockedWhich urn?
Difficulty 5 of 9+125 XP5.126Algebra
LockedTwo trips of a motorboat
Difficulty 5 of 9+125 XP5.127Functions
LockedFrom the sum of sine and cosine
Difficulty 5 of 9+125 XP5.128Geometry
LockedA cone in a ball
Difficulty 5 of 9+125 XP5.129Logic
LockedThree sets with no common element
Difficulty 5 of 9+125 XP5.130Equations
LockedThe unknown in the base and in the exponent
Difficulty 5 of 9+125 XP5.131Calculus
LockedA sequence from two conditions
Difficulty 5 of 9+125 XP5.132Geometry
LockedThe slope of a lateral edge
Difficulty 5 of 9+125 XP5.133Probability
LockedCloser to a corner than to the centre
Difficulty 5 of 9+125 XP5.134Algebra
LockedA sum of two cube roots
Difficulty 5 of 9+125 XP5.135Functions
LockedThe sum of solutions over five periods
Difficulty 5 of 9+125 XP5.136Geometry
LockedA cylinder with a square axial section in a cone
Difficulty 5 of 9+125 XP5.137Combinatorics
LockedThree teams of four
Difficulty 5 of 9+125 XP5.138Algebra
LockedA complex number and its modulus
Difficulty 5 of 9+125 XP5.139Calculus
LockedA tangent and the y-axis
Difficulty 5 of 9+125 XP5.140Arithmetic
LockedRegular saving
Difficulty 5 of 9+125 XP5.141Probability
LockedA raffle
Difficulty 5 of 9+125 XP5.142Equations
LockedRoots of opposite signs
Difficulty 5 of 9+125 XP5.143Functions
LockedA function and its inverse
Difficulty 5 of 9+125 XP5.144Geometry
LockedCircles touching two lines
Difficulty 5 of 9+125 XP5.145Combinatorics
LockedRational terms of an expansion
Difficulty 5 of 9+125 XP5.146Equations
LockedSquares and cubes in a system
Difficulty 5 of 9+125 XP5.147Calculus
LockedA parabola with a given area
Difficulty 5 of 9+125 XP5.148Arithmetic
LockedA three-year loan
Difficulty 5 of 9+125 XP5.149Probability
LockedGiven that a six came up
Difficulty 5 of 9+125 XP5.150Calculus
LockedGrowing instalments
Difficulty 5 of 9+125 XP6.1Equations
LockedAn exponential equation with base 2
Difficulty 6 of 9+180 XP6.2Functions
LockedA parabola from its vertex and a point
Difficulty 6 of 9+180 XP6.3Geometry
LockedAn altitude from coordinates
Difficulty 6 of 9+180 XP6.4Probability
LockedA class average and a newcomer
Difficulty 6 of 9+180 XP6.5Algebra
LockedRatios of the roots of a quadratic
Difficulty 6 of 9+180 XP6.6Calculus
LockedA 0/0 limit with a square root
Difficulty 6 of 9+180 XP6.7Arithmetic
LockedDivisors with a condition
Difficulty 6 of 9+180 XP6.8Combinatorics
LockedAn equation with binomial coefficients
Difficulty 6 of 9+180 XP6.9Algebra
LockedAn expression with logarithms and a power
Difficulty 6 of 9+180 XP6.10Functions
LockedA double angle in the second quadrant
Difficulty 6 of 9+180 XP6.11Geometry
LockedThe altitude opposite an obtuse angle
Difficulty 6 of 9+180 XP6.12Fractions
LockedArithmetic with repeating decimals
Difficulty 6 of 9+180 XP6.13Algebra
LockedTwo pipes and a pool
Difficulty 6 of 9+180 XP6.14Calculus
LockedA series and the series of its squares
Difficulty 6 of 9+180 XP6.15Arithmetic
LockedBack to the original price
Difficulty 6 of 9+180 XP6.16Logic
LockedThree clubs
Difficulty 6 of 9+180 XP6.17Equations
LockedA quartic equation by substitution
Difficulty 6 of 9+180 XP6.18Functions
LockedThe inverse of a composite function
Difficulty 6 of 9+180 XP