Problem of the Day #68: In a witch’s garden, there are 30 animals: dogs, cats, and mice. The witch changes 6 dogs into 6 cats and then 5 cats into 5 mice. Now there is an equal number of dogs, cats, and mice. How many cats were there to start with? The solution link is in the bio
Problem of the Day #64: The diagram shows four semicircles, one with radius 2 cm, touching the other three, which have radius 1 cm. What is the total area of the shaded regions? The solution link is in the bio. #GeometryProblem #Semicircles #MathProblem #ProblemSolving #Mathematics #AreaCalculation #Problem64 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #GeometricConstruction #ProblemSolvers #HashtagChallenge
Problem of the Day #63: Find the smallest positive integer n, so that 999999 × n=111…111. The solution link is in the bio. #NumberManipulation #MathProblem #EquationSolving #ProblemSolving #Mathematics #IntegerEquation #Problem63 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #NumberPattern #DigitRepetition #ProblemSolvers #HashtagChallenge
Problem of the Day #62: In a biology lab, there are people, mice, and snakes. The total count of heads is 40, legs amount to 100, and tails sum up to 36. Find the number of snakes in the lab. The solution link is in the bio. #AnimalCount #MathProblem #SystemOfEquations #ProblemSolving #Mathematics #BiologyLab #Problem62 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #HeadLegTailProblem #AnimalIdentification #ProblemSolvers #HashtagChallenge
Problem of the Day #61: How many three-digit numbers are there that are equal to five times the product of their digits? The solution link is in the bio. #NumberProperties #MathProblem #IntegerManipulation #ProblemSolving #Mathematics #DigitProduct #Problem61 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #NumberManipulation #CountingProblem #ProblemSolvers #HashtagChallenge
Problem of the Day #60: Let a be an integer such that a+1 is divisible by 3. Prove that 4+7a is divisible by 3. The solution link is in the bio. #NumberTheory #MathProof #Divisibility #ProblemSolving #Mathematics #IntegerProperties #Problem60 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #DivisibilityProof #NumberManipulation #ProblemSolvers #HashtagChallenge
Problem of the Day #58: The diagram shows three rectangles. What is the value of x? The solution link is in the bio. Source: UK - Intermediate Mathematical Challenge 2017 - 10 #GeometryProblem #RectangleProperty #MathProblem #ProblemSolving #Mathematics #AngleCalculation #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #GeometricConstruction #ProblemSolvers #HashtagChallenge
Problem of the Day #57: Fred has five cards labelled 1, 2, 3, 4, and 5. Create a three-digit number and a two-digit number using these cards so that the larger number is divisible by the smaller one. The solution link is in the bio. #NumberArrangement #MathProblem #Divisibility #ProblemSolving #Mathematics #NumberCombinations #Problem57 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #NumberManipulation #ProblemSolvers #HashtagChallenge
Problem of the Day #56: The diagram shows a point E inside a rectangle ABCD such that AE = 16 cm, DE = 20 cm and CE = 13 cm. Find the length of BE. The solution link is in the bio. #GeometryProblem #RectangleProperty #MathProblem #ProblemSolving #Mathematics #LengthCalculation #Problem56 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #GeometricConstruction #ProblemSolvers #HashtagChallenge
Problem of the Day #54: What is the largest product that can be formed from using the digits 1, 2, 3, and 4, and one multiplication sign? You are only allowed to combine the digits to form two numbers, e.g., The solution link is in the bio. #DigitProduct #MathProblem #NumberManipulation #ProblemSolving #Mathematics #ProductMaximization #Problem54 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #NumberCombination #ProductOptimization #ProblemSolvers #HashtagChallenge
Problem of the Day #53: Except for the first term, each term in the following sequence is found by multiplying the same number to the previous term: 3, a, b, c, 48, … Find the value of c. The solution link is in the bio. #NumberSequence #MathProblem #GeometricSequence #ProblemSolving #Mathematics #SequencePattern #Problem53 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #MathematicalLogic #SolutionInTheBio #CriticalThinking #SequenceManipulation #PatternRecognition #ProblemSolvers #HashtagChallenge
Problem of the Day #45: Kate has a calculator with three operations: multiply a number by 3, add 3 to a number, or (if the number is divisible by 3) divide it by 3. Using these operations, how can you transform the number 1 into the number 11? The solution link is in the bio. #CalculatorChallenge #MathProblem #OperationsManipulation #ProblemSolving #Mathematics #CalculatorPuzzle #NumberTransformation #Problem45 #MathChallenge #LogicInMath #ProblemOfTheDay #CreativeThinking #ArithmeticOperations #SolutionInTheBio #CriticalThinking #MathematicalLogic #NumberManipulation #HashtagChallenge
Problem of the Day #44: A mother has two apples, three pears, and four oranges. For nine consecutive days, she gives her son one piece of the remaining fruit each day. In how many ways can she give the fruits to her son over the nine days? The solution link is in the bio. #Combinatorics #FruitDistribution #MathProblem #CountingWays #Permutations #ProblemSolving #Mathematics #CombinatorialAnalysis #Problem44 #MathChallenge #LogicInMath #ProblemOfTheDay #CountingProblem #Arrangements #CombinatorialMath #SolutionInTheBio #CriticalThinking #MathematicalLogic #PermutationAndCombination #CountingPossibilities #HashtagChallenge
Problem of the Day #43: On a globe, there are 17 parallels of latitude and 24 meridians of longitude. How many regions does the surface of the globe get divided into by the intersection of these parallels and meridians? The solution link is in the bio. #GeographyProblem #Combinatorics #SpatialDivision #ProblemSolving #Mathematics #GlobeGeometry #RegionsDivision #Problem43 #MathChallenge #LogicInMath #ProblemOfTheDay #GeographicalMath #CombinatorialAnalysis #SolutionInTheBio #CriticalThinking #MathematicalLogic #SpatialPartitioning #CombinatorialMath #DivisionOfSpace #HashtagChallenge
Problem of the Day #42: Let m and n be integers. Prove that mn(m + n) is an even number. The solution link is in the bio. #NumberTheory #MathProof #EvenNumbers #AlgebraicManipulation #ProblemSolving #Mathematics #NumberParity #Proof42 #MathChallenge #LogicInMath #ProblemOfTheDay #AlgebraicProperties #SolutionInTheBio #CriticalThinking #MathematicalLogic #IntegerMultiplication #EvenProduct #MathematicalProof #HashtagChallenge
Problem of the Day #40: In this cryptarithm: BAO×BA×B=2002 What are the values of B, A, and O? The solution link is in the bio. #Cryptarithm #MathPuzzle #AlgebraicEquation #CriticalThinking #LogicPuzzle #ProblemSolving #NumberCryptogram #PuzzleOfTheDay #BrainTeaser #CreativeThinking #Mathematics #Problem40 #AlgebraicManipulation #NumberMagic #SolutionInTheBio #LogicalReasoning #MathChallenge #NumberCryptic #CrypticEquation #HashtagChallenge
Problem of the Day #39: Define an unfortunate number as a number which is 13 times the sum of its digits. How many unfortunate numbers are there? The solution link is in the bio. #NumberProperties #UnfortunateNumbers #MathProblem #NumberTheory #ProblemSolving #Mathematics #DigitSum #NumberClassification #MathChallenge #LogicInMath #ProblemOfTheDay #NumberPatterns #SolutionInTheBio #CriticalThinking #MathematicalLogic #NumberMultiples #UnusualNumbers #CountingProblem #HashtagChallenge
Problem of the Day #37: In the equation 101−102=1, move one digit to make it correct. The solution link is in the bio. #NumberManipulation #MathPuzzle #EquationChallenge #CriticalThinking #LogicPuzzle #ProblemSolving #NumberArrangement #MathRiddle #Problem37 #BrainTeaser #CreativeThinking #Mathematics #PuzzleOfTheDay #NumberMagic #SolutionInTheBio #LogicalReasoning #MathChallenge #MindGames #AlgebraicManipulation #NumberPuzzle #HashtagChallenge
Problem of the Day #36: In how many ways can we cut a necklace consisting of 30 different beads into 8 parts? (It is allowed to cut only between beads.) The solution link is in the bio. #Combinatorics #NecklaceCutting #MathProblem #CountingWays #Partitioning #Permutations #ProblemSolving #Mathematics #CombinatorialAnalysis #Problem36 #MathChallenge #LogicInMath #ProblemOfTheDay #CountingProblem #Arrangements #CombinatorialMath #SolutionInTheBio #CriticalThinking #MathematicalLogic #PermutationAndCombination #CountingPossibilities #HashtagChallenge
Problem of the Day #35: It is known that the expressions 4k+5 and 9k+4 are simultaneously perfect squares for certain natural values of k. What values can the expression 7k+4 attain for the same values of k? The solution link is in the bio. #NumberTheory #PerfectSquares #MathProblem #AlgebraicExpressions #IntegerSolutions #ProblemSolving #Mathematics #Equations #NumberProperties #Algebra #Problem35 #MathChallenge #LogicInMath #ProblemOfTheDay #MathDiscovery #NumberPatterns #SolutionInTheBio #CriticalThinking #MathematicalLogic #NaturalNumbers #AlgebraicManipulation #MathEnigma #HashtagChallenge