Maths Puzzles

The following puzzles are from the Transum monthly newsletters and podcasts.

Same Probability Why are the probabilities the same of picking two balls with an odd total from two different pots ? Settle Debts What is the best way to settle the debts of the four friends ?

Reading: Maths Puzzles

viral Maths What is the adjust consequence of the calculation that has become a viral talking decimal point on the internet ? Holiday Island Weather employment out the duration of my vacation from the clues about the weather. Weighted perplex What four weights would enable me to use the symmetry scales to weigh any object from 1 to 40 pounds ? alphabetic Numbers Arange all the natural numbers in alphabetic order – which issue comes second ? foreign Dice Number the faces of the cubes to make strange cube with a minimum face kernel. Leaving Transumvania Find where the dawdler catches up with the ship given their relative speeds. Rolling Dice Find a nice method acting to work out which number on the die is uppermost after rolling across a chess control panel. Sisters Outnumbering Brothers work out the total number of children in Rachel ‘s kin using the clues about brothers and sisters. Time and Calendars How many times in a 24 hour period do all four digits on my bedside clock variety at the lapp time ? Santa ‘s Small Window How do you increase the area of a window without changing its height or width ? How much Richer ? A puzzle about the relative wealth of Maureen compared to Doreen. agent Shopping Find the prices of the items bought if they are different and all factors of the sum bill. Splitting Ten for a product Which of the many ways of splitting ten gives the largest product ? Where ‘s the founder What seems like a familiar perplex has an strange twist. A Frobenius mint problem What is the largest sum that can not be made with 5p and 7p coins ? Bus Fare Premonition How did the bus driver know how much to charge Mrs P and Mrs Q ? A Half Mean Angle Find the size of the lean at A if it is one-half of the mean of the angles at B and C. food inflation The cost of a meal increases by 4 % to a unharmed number of pounds. Chris and his unpredictable Kids A think of a phone number puzzle with an unpredictable component. Keith and Kath Find the ages of Keith and Kath from the clues given. janus-faced and Blue How many of the smaller cube that make up the 3×3 cube have two faces painted blue sky ? Santa is Cool What temperature is reported using the lapp number in Celsius and Fahrenheit ? Three Trios of Triplets Thrice A simple question that seventy two percentage of a group of people got wrong. Trains together How far apart will the trains be half an hour before they meet ? Six Ropes Can the pirates win their exemption by tying the six pieces of rope into one large coil ? Bogdan and Wally In what order should you play Ultimate Noughts and Crosses against Wally and Bogdan ? What ‘s My appoint Riddle work out the list from the rhyme riddles. mathematical Days What is the date of the future Pythagorean Theorem Day ? Eva ‘s Eggs and Fickle Fractions How many eggs did Eva take to market in order to make those foreign half sales ? Feeding Fools and Horses How long will the sawhorse feed last the horses after some of them left the stables ? Balancing Balloons How many balloons must Jamie give to Ben to balance the balloon equality ? A perplex from Carl Carl ‘s puzzle is about the solution of dividing the product of his parents ‘ ages by double his own age. Odds from evens up to 2020 Subract the kernel of the odd numbers less than 2020 from the union of the even numbers less than 2020. Noel in Lapland work out the distance of Noel ‘s trip to Lapland given the details of the weather conditions. multiple Remainders What is the second little number such that when it is divided by 5 the remainder is 4, and when divided by 7 the remainder is 6 ? Coaches to Cambridge Can you figure out which coach I travelled in when I went to Cambridge ? Percy Cod ‘s Kids Percy Cod was talking about his children. Can you work out their ages given the ratios ? Carrot-eating Critters Work out how many of each kind of animal are in the airfield from their carrot-eating habits. crimson Arrow Square What fraction of the square does the crimson arrow cover ? Patsy Loves Percy The foreign case of Percy who seems to be getting older very promptly Monkeys, Kittens and Dogs Who is most probably to be able to work out the square rout of 121 ? Feed The Horses How retentive will the remaining feed final the horses that have not been sold ? strange Addition If I start at five and add six I get eleven but if I start at six and add seven I get one. Prime Permutations Of all the permutations of 1 to 9 used to make nine-digit numbers, how many are prime ? 4-Digit Hotel Room Safe Code Can you work out what numeral I used to lock and unlock my hotel room safe ? Choir Eye Colour human body out the percentage of choir members that do not have blue eyes from the clues given. Calculator Keys at the Corners of a Rectangle A interrogate about the four keys at the corners of a rectangle on a calculator. average House Numbers work out the house numbers from the clues about the mean, median and manner. clock in the mirror What time was the clock in the mirror very showing ? delightfully divisible Find a pandigital phone number that is delightfully divisible. Five integers with a product of 12 Can you find five integers that multiply together to give twelve ? Square in a rectangle What is the largest squarely that can be drawn in the corner of a 10cm by 15cm rectangle ? London Marathon A question about the average accelerate required for the second half of the marathon. Cutting the lawn Aynuk and Ayli cut half of the lawn each. How long is each side of the straight lawn ? The Missing Pound ‘s Found A very fantastic answer to the missing sudanese pound puzzle. Forty Five in Four Parts Split the act 45 into four parts according to the given information. Shrivelled Spuds exercise out the weight unit of the potatoes after they have been left out in the sun to dry. substitution error work out the bank libra given information about the transposition error. Counting sheep knead out the numeral of sheep owned by Percy and Patsy from the given clues. Juggling with Egg Timers Can you time precisely nine minutes using the four and seven infinitesimal egg timers ? permutation Sum What is summarize of all the four digit numbers containing all of the digits one to four ? Odd Probability What is the probability that two random numbers are both even if they are not both odd ? Regions in Circles Calculate the number of regions in a set formed by intersecting chords. Brothers and Sisters Can you work out the number of children in the Numlove kin given the clues about brothers and sisters ? examination average What mark is required in the last examination to achieve an 80 % overall average ? Cake Cut Where should the last slice of patty be cut to give two equal pieces ? Holy Sphere Calculate the remaining bulk of the sphere after a cylindrical hole has been drilled through the center Jumping flea How many different places could the flea find itself after 8 foot-long jumps either north, confederacy, east or west ? last Digit How many positive two-digit numbers are there whose feather and cube both goal in the lapp digit ? central place The probability that the following train to leave will be going north is five times the probability that the following train to leave will be going confederacy. Canteen Queue Is it possible to answer the question if Betsy ‘s age is not known ? Separated Twins bring out the combination of the safe given the clues about pairs of numbers. divisible By Three A puzzle about two digit numbers that can be made from ten different digits. Letters In Numbers A stigmatize new puzzle involving the letters in numbers when written as words. Square Angled Triangle The angles of a triangle are all square numbers. What are they ? Tri-Junction Puzzle What is the probability of the three cars arriving at the road junction not being involved in an accident ? Two Prime Squares What is the smallest straight number ( greater than one ) that can not be expressed as the summarize of two prime numbers ? The Missing hammer Where did the missing pound go in this floor about three people visiting a restaurant ? Ticks, Tocks, Tacks and Tucks Find how ticks compare to tocks, tacks and tucks from the given information. The Power of Christmas A interrogate about indices to get you thinking mathematically at this gay clock time of year. Ant and Dec What single interview could Dec ask Ant to find out what he is thinking ? bookworm How far does the bookworm travel on its meal-time journey ? Three Mathematicians How can the third gear mathematician be so certain that everyone wants a drink ? Unfinished game If the coin tossing game was cut brusque how would you contribution the winnings ? Alphanumbetical Questions about the letters used to make the natural numbers. Best Dice Which of the unusual cube would you choose to give you the best find of winning the prize ? The Birthday Problem What is the probability of two or more pupils in a class having the same birthday ? Enigma Vowels

A coding interview inspired by the film The Imitation Game. Biased coin A mathematical question asked by Microsoft and Google interviewers. Twelve Days of Christmas Can you figure out precisely how many gifts the true love sends during the twelve days of the Christmas vacation ? Chased by a Bear A perplex about an explorer being chased by a bear along with a question about imperial and system of measurement measures with Measurement man Halloween Bases A puzzle about Why is halloween like Christmas along with news of the modern Number Skills Inventory Torch Tunnel A puzzle about four people making their manner through a tunnel with just one blowtorch along with newsworthiness of the new numerology page Cube in Milk A puzzle about a cube being lowered into a bucket of milk along with newsworthiness of the newly shunt puzzles

The following puzzles are the Transum Advanced Starters.

Algebraic Product Finding the value of the expression is easier than you think ! Angle Thinking Find the range of possible angles, x, for which tan adam > cobalt x > sine ten median Cycling accelerate work out the average accelerate of two journeys. The obvious answer is not the correct answer. back To The factory Find all the numbers below 1000 which have precisely 20 factors Barmy BIDMAS A misinform way of stating the answer to a dim-witted calculation. Bertrand ‘s Box Paradox Bertrand ‘s box paradox is a paradox of elementary probability theory, first posed by Joseph Bertrand in 1889 Best Dice Which of the unusual dice would you choose to give you the best prospect of winning the trophy ? Biased mint Use a biased mint to obtain a average leave car Inequalities Solve three coincident inequalities to find how many cars I own. Charging Rhinos Find the easy way to solve this kinematics trouble involving a vanish and two rhinos. Cheryl ‘s birthday Use a process of elimination to work out the right date from the clues given. Coordinate Distance Find thousand given that ( -2, thousand ) is 13 units aside from ( 10,9 ) cubelike Find the dimensions of a cuboid matching the description given Curved Angles How many right angles are there in a semicircle ? remainder Cipher Find the mathematical word from the zero divisible by 11 Can you prove that a three digit number whose first and third base digits add up to the value of the irregular digit must be divisible by eleven ? double or Half ? At ten percentage change per day is doubling achieved faster than halving ? Eight to the Unknown Solve the equality using the laws of indices Exceeds by 99 Find the number whose double exceeds its half by precisely 99. fence optimization Find the length of a rectangle enclosing the largest potential area. Fermi Problem The classical Fermi trouble using standard appraisal techniques Find The Radius Find the radius of the circle from the little amount of information provided. Four Fraction Division Explain why the suffice to a series of divide divisions is a whole numeral. GDC Challenge Produce the given graph on a graphic display calculator Geometry Snack Find the value of the tag slant in this diagram from the book Geometry Snacks grandma How far would grandma have travelled after a appropriately large number of days given her walk regimen ? Hands together The hands of a clock are in concert at midnight. At what meter are they next together ? HCF and LCM given If given the HCF, LCM can you find the numbers ? How many Left Handers ? knead out the number of members if the probability of left-handed members being randomly selected is given. Hundred and Fifty Percent separate 110 into two parts so that the larger separate is 150 % of the smaller separate. Is it a Number ? A mathematical object is a number if it … Key Eleven Prove that a four digit number constructed in a certain way will be a multiple of eleven. Log Perfection Determine whether the given statements containing logarithms are true or delusive Logarithm Equation Solve an equation containing logarithm with different bases maximum intersection Two numbers add up to 10. What ‘s the largest potential merchandise they could have ? Multiple of sum of digits What number is six times the sum of its digits ? Nine Digit Numbers How many different nine digit numbers are their that contain each of the digits from one to nine ? other Child ‘s Gender What is the probability that the other child is besides a boy ? Paper Ratio Calculate the proportion of the sides of an A4 sheet of paper without any quantify. Paper Surprising Perimeter Find the margin of a pen up sheet of A4 newspaper as described in this short television. Parallel Graphs determine from their equations which of the straight line graph are analogue and perpendicular. penny Bags Can you place 63 pennies in bags in such a way that you can give away any measure of money ( from 1p to 63p ) by giving a excerpt of these prepacked bags ? perennial Rivals Which football team will be beginning to win four games ? transposable Functions Find pair of functions that are commutative under writing. Piece of String Find where a piece of string should be cut to form a traffic circle and a square of peer areas. Pizza Slice A problem which can be solved by considering the areas of a triangle and a sector of a r-2. product of Indices Find the product of the stranger indices that feature in two equations Quad Midpoints What supreme headquarters allied powers europe is created when the midpoints of the sides of a quadrilateral are joined in concert ? Restrained flea How many different places could the flea find itself after 8 foot-long jumps either north, south, east or west ? turn back connection Find a general convention for the difference between a two finger number and that same total with the digits reversed. rice on a Chess Board How many grains of rice are on a chess board if each square has twice the number of grains as the previous squarely. Rich or Poor ? An matter to consequence of share increase and decrease Road Connections Design roads to connect four houses that are on the corners of a square, english of length one nautical mile, to minimise the full length of the roads. same Series Sum Find an arithmetical series and a geometric series that have the lapp kernel of the first five terms. Same Three Digits Find expressions which contain indices and evaluate to numbers containing the like digits. seventeen Camels Explain the mathematics of the classical ninteenth century divide sharing narrative. Simplify Simplify an algebraic fraction Single Fraction Simplify an expression involving fractions, exponents and a square root. speed Circles Find the diameters of the circles in the corners of the squarely. Sphere Hole Find the bulk of the remaining depart of a sphere after a 10cm cylindrical hole has been drilled through it. Square in Rectangle Find the area of a square draw under the diagonal of a rectangle Square Root of 1 % What is the square root of one percentage ? Tan 22.5 Find an claim value for tangent 22.50 without using a calculator. Tansum Find the summarize of the tangents of angles on a straight lineage. temperature Sum Can you explain why 0oC + 0oC does not equal 64oF test Scores Explore the misconception that when adding fractions you add both the numerators and the denominators Three Right Triangles Calculate the lengths of the unlabeled sides of these right-angled triangles. Transum Tonic What is the largest count of bottles that it is not possible to buy if they come in packs of 6, 9, and 20 ? Tri-Junction A real life site that can be analysed with the consumption of a tree diagram. triangle or quadrilateral Can a quadrilateral have a directly angle ? Trig Blot Find all the measurements of the given triangulum. Two Equals One What is wrong with the algebraic reason that shows that 2 = 1 ? Two Pots Use tree diagrams to find the surprise leave that probabilities of different situations are the same. Two real numbers The total of the reciprocals of two real numbers is -1, and the kernel of their cubes is 4. What are they ? Unfinished bet on parcel the choice in a fair proportion according to the probability of each player uncoerced. doomed Seven Eleven Follow the instructions to multiply a chosen number then explain the result you get. Vowel Code How many ways can you create a code for the vowels by assigning to each vowel a different vowel ? Weather Reports Which five different integers multiply together to give 12 ? What question ? Write depressed all the possible questions that could have been asked if this was the diagram provided in a mathematics casebook. adam Divided by 2Y Why do different calculators not agree on the order of operations ?

Zero even Prove that zero is an even number .

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