Puzzle 1 What is represented by this BrainBat? erutuf eht ot

[Ref: ZQXE] Copyrighted. Answer: Back to the future. Puzzle 2 Using the BrainTracker grid below, how many words can you find? Each word must contain the central G and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 24 words. Good: 18 words. Average: 15 words.

[Ref: ZHCT] Kevin Stone Answer: Common words: age, allege, angel, angle, cage, CHALLENGE, change, clang, eagle, gal, gale, gall, gel, gene, glance, glean, glee, glen, hag, hang, lag, leg, legal, nag. All words: ag, age, agee, agene, aglee, allege, angel, angle, cage, CHALLENGE, chang, change, clag, clang, eagle, egal, encage, eng, gae, gaen, gal, gale, gall, gan, gane, gee, gel, gen, gene, ghee, glace, glance, glean, glee, glen, hag, hang, lag, lang, leg, legal, nag. Puzzle 3 What is represented by this BrainBat? ONCE 12:01

[Ref: ZLAF]

Answer: Once upon a time. Puzzle 4 Using the BrainTracker grid below, how many words can you find? Each word must contain the central K and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 34 words. Good: 22 words. Average: 18 words.

[Ref: ZDRZ] Kevin Stone Answer: Common words: click, clicks, clock, clocks, CLOCKWISE, cockle, cockles, coke, cokes, elk, elks, ilk, kilo, kilos, lick, licks, like, likes, lock, locks, sick, sickle, silk, skew, ski, slick, sock, wick, wicks, wok, woke, woks. All words: click, clicks, clock, clocks, CLOCKWISE, cockle, cockles, coke, cokes, cowlick, cowlicks, elk, elks, ick, ilk, ilks, kilo, kilos, koel, koels, koi, kos, lek, leks, lick, licks, like, likes, lock, locks, oke, okes, sick, sickle, sicko, sike, silk, skew, ski, slick, sock, soke, wick, wicks, wok, woke, woks. Puzzle 5 Using eight eights and addition only, can you make 1000?

[Ref: ZPFG] Answer: 888 + 88 + 8 + 8 + 8 = 1000.

Puzzle 6 Using the BrainTracker grid below, how many words can you find? Each word must contain the central H and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 51 words. Good: 35 words. Average: 25 words.

[Ref: ZTSG] Kevin Stone Answer: Common words: afresh, ash, fish, FISHERMAN, fresh, hairs, ham, hams, hare, harem, harems, hares, has, he, hear, hears, heir, heirs, hem, hems, hen, hens, her, hernia, hernias, hers, hi, him, hire, hires, his, marsh, mash, masher, mesh, mishear, rash, sham, shame, share, she, sheaf, shear, shim, shin, shine, shiner, shire, shrine. All words: afresh, ah, ahem, arshin, ash, ashen, ashier, ashmen, eh, famish, fash, feh, fehs, fish, fisher, FISHERMAN, fresh, freshman, ha, hae, haem, haemin, haemins, haems, haen, haes, hafis, hair, hairs, ham, hame, hames, hams, hanse, hare, harem, harems, hares, harm, harmin, harmine, harmines, harmins, harms, has, he, hear, hears, heir, heirs, hem, hemin, hemins, hems, hen, hens, her, herm, herma, hermai, herms, hern, hernia, hernias, herns, hers, hes, hi, hie, hies, him, hin, hins, hire, hires, his, hisn, hm, ihram, ihrams, inmesh, marish, marsh, mash, masher, mashie, menhir, menhirs, mesh, mishear, nah, rah, rash, resh, rhea, rheas, sh, sha, shairn, sham, shame, share, sharif, sharn, she, shea, sheaf, shear, sherif, shier, shim, shin, shine, shiner, shire, shmear, shri, shrine, sinh. Puzzle 7 Can you place the numbers 1 to 8 into the following grid. No two consecutive numbers can be directly next to each other either horizontally, vertically or diagonally.

[Ref: ZUHP] Answer: The following is one answer, all other answers are a reflection or rotation of this.

Puzzle 8 During the recent BrainBashers cipher convention, a Morse code contest took place. The contest consisted of a Morse code transmission where the spaces between the letters and words were missing. Can you find the ten animals?

Luckily, BrainBashers has provided you with a listing of the Morse code characters. Good luck!

[Ref: ZKCX] Kevin Stone Answer: Rabbit Squirrel Donkey Elephant Cat Weasel Zebra Aardvark Mouse Dog. Puzzle 9 Starting in the bottom left corner and moving either up or right, one square at a time, adding up the numbers along the way, what is the largest sum which can be made once you have reached the top right corner?

[Ref: ZNGR] Kevin Stone Answer: 37.

Puzzle 10 Using the BrainTracker grid below, how many words can you find? Each word must contain the central M and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 63 words. Good: 48 words. Average: 35 words.

[Ref: ZAIT] Kevin Stone Answer: Common words: admire, admirer, aim, aimed, airmen, am, amen, amend, amid, arm, armed, dam, dame, deem, denim, dim, dime, dram, dream, dreamer, dreamier, ermine, mad, made, maid, maiden, main, man, mane, mare, marine, mariner, marred, married, me, mean, meander, meaner, media, median, men, mend, mid, mind, minder, mine, mined, miner, mire, name, named, ram, ream, remain, REMAINDER, remained, remand, remind, reminder, rename, renamed, rim. All words: adeem, admen, admire, admirer, aidmen, aim, aimed, aimer, airmen, am, ameer, amen, amend, amender, ami, amid, amide, amie, amin, amine, amir, anime, arm, armed, armer, daimen, dam, dame, deem, deme, demean, denim, derm, derma, dim, dime, dimer, dram, dream, dreamer, dreamier, edema, em, eme, emend, emir, ermine, ermined, idem, inarm, inarmed, ma, mad, made, madre, mae, maid, maiden, main, mair, man, mane, maned, mar, mare, marine, mariner, marred, married, me, mead, mean, meander, meaner, meanie, med, media, mediae, median, medina, meed, men, menad, mend, mender, mere, merer, mi, mid, mien, mina, minae, mind, minder, mine, mined, miner, mir, mire, mired, nam, name, named, namer, neem, nema,

nim, ram, ramee, rami, ramie, ream, reamed, reamer, rearm, rearmed, redream, reedman, rem, remade, remain, REMAINDER, remained, reman, remand, remend, remind, reminder, rename, renamed, reremind, rim, rime, rimed, rimer.

Puzzle 11 Hidden in each of the sentences are the numbers 1 to 10 in words. A number might appear in more than one sentence, but there is only one way to find all ten numbers. For example 'My parents told me to never cross the road without looking.' contains the number 1: 'My parents told me to never cross the road without looking.'

The robins love hiding amongst the smooth reeds. It's always worth looking after your friends, even if they've upset you. Even heavyweight boxers like using soft tissues when they have a cold. To avoid the calf, I veered sharply to the left. The eggs were boxed thirteen instead of a dozen in each baker's delivery box. Having salmon every day for lunch gets a little boring after a while. The attendance at the local football match exceeded last weeks by many thousands. We need to waterproof our boots to make sure we don't get wet. Meeting friends after work allows executives to network effectively. The orchestra sounded magnificent with the three virtuosi xylophonists.[Ref: ZWJD] Kevin Stone Answer: 3 - The robins love hiding amongst the smooth reeds. 7 - It's always worth looking after your friends, even if they've upset you. 8 - Even heavyweight boxers like using soft tissues when they have a cold. 5 - To avoid the calf, I veered sharply to the left. 9 - The eggs were boxed thirteen instead of a dozen in each baker's delivery box. 1 - Having salmon every day for lunch gets a little boring after a while. 10 - The attendance at the local football match exceeded last weeks by many thousands. 4 - We need to waterproof our boots to make sure we don't get wet. 2 - Meeting friends after work allows executives to network effectively. 6 - The orchestra sounded magnificent with the three virtuosi xylophonists. Puzzle 12

What is represented by this BrainBat? GLOOOOKD

[Ref: ZHRO] Kevin Stone Answer: Looking good. LOOK in the word GOOD. Puzzle 13 Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 25 words. Good: 18 words. Average: 13 words.

[Ref: ZSWU] Kevin Stone Answer: Common words: peer, pen, pent, per, pert, pest, pester, pet, peter, preen, preener, present, preset, pretense, repent, repenter, REPRESENT, seep, serpent, spent, spree, steep, steepen, steeper, step. All words: epee, epees, neep, neeps, pe, peen, peens, peer, peers, pen, penes, pens, pensee, penster, pent, per, pert, perter, pes, pest, pester, pesterer, pet, peter, peters, pets, pree, preen, preener, preeners, preens, prees, prese, present, PRESENTER, preset, prest, prester, pretense, rep, repent, repenter, REPENTERS, repents, REPRESENT, reps, seep, sept, serpent, speer, spent, spree, sprent, steep, steepen, steeper, step, strep, tepee, tepees, terpene, terpenes. Puzzle 14 Michael made a cake, in the shape of a perfect cube, for 64 guests at a recent party. The inside of the cake was sponge, and he iced the cake with red icing. He of course did not ice the bottom of the cake.

Michael cut each side of the cake into four equal pieces, making a total of 64 pieces of cake. Each exactly the same size. How many of the pieces of cake had at least 2 of their sides with icing?

[Ref: ZPJN] Kevin Stone Answer: 24. There were 12 pieces on the top layer with at least 2 sides with icing. The other three layers each have 4 pieces that have 2 sides with icing. A total of 24. Puzzle 15 Three people check into a hotel. They pay 30 to the manager and go to their room. The manager suddenly remembers that the room rate is 25 and gives 5 to the bellboy to return to the people. On the way to the room the bellboy reasons that 5 would be difficult to share among three people so he pockets 2 and gives 1 to each person. Now each person paid 10 and got back 1. So they paid 9 each, totalling 27. The bellboy has 2, totalling 29. Where is the missing 1?

[Ref: ZVTU] Answer: We have to be careful what we are adding together. Originally, they paid 30, they each received back 1, they now have only paid 27. Of this 27, 25 went to the manager for the room and 2 went to the bellboy.

Puzzle 16 Using the BrainTracker grid below, how many words can you find? Each word must contain the central W and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 24 words. Good: 18 words. Average: 14 words.

[Ref: ZHFN] Kevin Stone Answer: Common words: aware, awe, awl, few, flaw, flew, law, raw, trawl, wafer, waft, wall, wallet, war, ware, wart, water, WATERFALL, we, wear, weft, well, welt, wet. All words: aw, awa, aware, awe, awl, fatwa, few, flatware, flaw, flew, law, raw, taw, tawer, tew, trawl, twa, twae, wae, wafer, waft, wafter, wale, waler, wall, walla, wallet, war, ware, wart, wat, water, WATERFALL, we, weal, wear, weft, well, welt, wert, wet. Puzzle 17D

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Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows/cols/blocks. Letters allowed: C O L U M B U S.

[Ref: ZWPU] Alan Stillson and Frank Longo. Answer:D U C K

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Across: DUCK, PLUM, TOES, BALE Down : DOME, PLUS, CUBE, TALK

Boxes : DUMP, LUCK, SOLE, BEAT Note : Other anagrams of these words are OK as long as they don't change the answer grid. Puzzle 18 Starting with the 6 in the bottom left corner, what is the highest total you can make, if you only move up or right, using the mathematical signs on the way?

[Ref: ZWYX] Kevin Stone Answer: 13.

Puzzle 19 Using the BrainTracker grid below, how many words can you find? Each word must contain the central M and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 47 words. Good: 35 words. Average: 25 words.

[Ref: ZVIX] Kevin Stone Answer: Common words: emit, emits, gem, gems, gnome, gnomes, hem, hems, him, home, homes, homing, item, items, me, men, mesh, meshing, met, might, mine, mines, mint, mints, mist, mite, mites, moist, moisten, month, months, most, moth, moths, ohm, ohms, omen, omens, omit, omits, some, SOMETHING, stem, them, time, times. All words: egoism, egotism, em, emit, emits, emoting, ems, eonism, gem, gemot, gemots, gems, genom, genoms, gismo, gnome, gnomes, gnomish, gnomist, hem, hemin, hemins, hems, him, hm, home, homes, homiest, homines, homing, inmesh, inmost, ism, item, items, me, men, meno, mesh, meshing, meson, mestino, met, meth, meths, meting, metis, mho, mhos, mi, mien, miens, mig, might, mights, migs, mine, mines, mint, mints, mis, mise, miso, mist, mite, mites, mitogen, mitogens, mo, mog, mogs, moist, moisten, mon, mongst, monie, monies, monish, monist, mons, monte, montes, month, months, mos, most, moste, mot, mote, motes, moth, moths, mots, nim, nims, nom, nome, nomes, noms, ohm, ohms, om, omen, omens, omit, omits, oms, semi, sentimo, shim, shmo, sim, smit, smite, smith, smog, smote, some, SOMETHING, somite, stem, stime, theism, them, theming, time, times, tom, tome, tomes, toms. Puzzle 20 Each of these words can have the same letter placed at the beginning and the end to form a new word. For example LIT becomes ELITE by adding an E at both ends. What are the new words?

EVE ABLE CARVE AS ON ODE ELUDE APE ATE ROD

[Ref: ZKDH] Kevin Stone Answer: L + EVE + L = LEVEL T + ABLE + T = TABLET S + CARVE + S = SCARVES E + AS + E = EASE G + ON + G = GONG M + ODE + M = MODEM D + ELUDE + D = DELUDED L + APE + L = LAPEL D + ATE + D = DATED E + ROD + E = ERODE Puzzle 21 A woman had three old coins - a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin. What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total? For this puzzle it can be assumed that of a coin is worth of its value.

[Ref: ZQJS] Kevin Stone - Based on a puzzle by Henry Ernest Dudeney. Answer: 727 of each coin was missing. The original value of the three coins was 100 + 25 + 10 = 135, and the new value was 100. So 35135 of the original value has been removed and 35135 = 727. QED. Puzzle 22 What is represented by this BrainBat? C CAVE

[Ref: ZSDS] Kevin Stone Answer: Concave [C on CAVE] or Undersea Cave [under C CAVE].

Puzzle 23 Using the BrainTracker grid below, how many words can you find? Each word must contain the central Q and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 7 words. Good: 6 words. Average: 5 words.

[Ref: ZFEH] Kevin Stone Answer: Common words: equip, EQUIPMENT, queen, quiet, quieten, quit, quite. All words: equine, equip, EQUIPMENT, pique, piquet, queen, quiet, quieten, quin, quint, quinte, quip, quit, quite. Puzzle 24 Using the digits 1 to 9, create three 3-digit numbers. The second number is twice the first. The third number is three times the first.

[Ref: ZGEB] Submitted by Adailton J. Chiaradia. Answer:

Puzzle 25 Using the BrainTracker grid below, how many words can you find? Each word must contain the central H and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 24 words. Good: 19 words. Average: 14 words.

[Ref: ZUWN] Kevin Stone Answer: Common words: ache, ah, CHAMELEON, each, echelon, echo, ha, hale, halo, ham, he, heal, heel, helm, hem, hen, hence, ho, hole, home, hone, leach, leech, loch, mach, macho, manhole, mocha, oh, ohm. All words: ache, achene, ah, ahem, almeh, chalone, cham, CHAMELEON, chao, chela, chelae, chemo, chon, each, eche, echelon, echo, eh, enhalo, ha, hae, haem, haen, hale, halm, halo, ham, hame, hance, hao, he, heal, heel, helm, helo, hem, hemal, heme, hen, hence, hm, ho, hole, holm, home, hon, hone, leach, lech, leech, loach, loch, lochan, mach, mache, macho, mahoe, manche, manhole, mho, mocha, mohel, nacho, nah, noh, oh, ohm.

Puzzle 26 In the illustration we have a sketch of Sir Edwyn de Tudor going to rescue his lady-love, the fair Isabella, who was held a captive by a neighbouring wicked baron. Sir Edwyn calculated that if he rode fifteen miles an hour he would arrive at the castle an hour too soon, while if he rode ten

miles an hour he would get there just an hour too late. Now, it was of the first importance that he should arrive at the exact time appointed, in order that the rescue that he had planned should be a success, and the time of the tryst was five o'clock, when the captive lady would be taking her afternoon tea. The puzzle is to discover exactly how far Sir Edwyn de Tudor had to ride.

[Ref: ZBVT] Sir Edwyn De Tudor. Amusements In Mathematics by Henry Ernest Dudeney (1917). Answer: The distance must have been sixty miles. If Sir Edwyn left at noon and rode 15 miles an hour, he would arrive at four o'clock - an hour too soon. If he rode 10 miles an hour, he would arrive at six o'clock - an hour too late. But if he went at 12 miles an hour, he would reach the castle of the wicked baron exactly at five o'clock - the time appointed. Above is the answer given in the book, and below is a method of finding the answer. If we call the distance to the castle, D and using the fact that Time = Distance Speed, we have: Travelling at 15 mph: Time1 = D 15 Travelling at 10 mph: Time2 = D 10 (an hour too late) (an hour too soon)

The time gap between these two times is 2 hours, therefore Time2 - Time1 = 2 D 10 - D 15 = 2 Multiply throughout by 30:

3D - 2D = 60 D = 60 miles. QED. Puzzle 27 What is represented by this BrainBat? EST EST EST EST

[Ref: ZIMX] Kevin Stone Answer: Forest. [Four EST]. Puzzle 28 Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 70 words. Good: 50 words. Average: 38 words.

[Ref: ZNPB] Kevin Stone Answer: Common words: adept, alp, ape, apt, cap, cape, clap, clip, cup, cupid, depict, dip, dupe, DUPLICATE, epic, lap, leap, leapt, lip, pa, pace, paced, pact, pad, paid, pail, pal, pale, pat, pate, pea, peal, peat, pedal, pelt, pet, petal, pi, pica, pie, pied, pile, piled, pit, pita, place, placed, placid, plaice, plaid, plait, plate, plated, plea, plead, pleat, pled, plied, pud, put, tap, tape, taped, taupe, teacup, tepid, tip, tulip, up, update. All words: adept, aliped, alp, ape, aped, aplite, apt, cap, cape, caped, caplet, caput, cep, clap, clapt, clept, clip, clipt, clupeid, culpa, culpae, cup, cupel, cupid, dap, depict, dip, dipt, dup, dupe, duple, DUPLICATE, elapid, epact, epic, epical, lap, leap, leapt, lept, lepta, letup, lip, pa, pac, pace, paced, pact, pad, padi, padle, paid, pail, pal, pale, paled, palet, pat, pate, pated, pe, pea,

peal, peat, pec, peculia, ped, pedal, pelt, pet, petal, pi, pia, pial, pic, pica, pical, pice, picul, pie, pied, pieta, pilau, pile, pilea, piled, pit, pita, piu, place, placed, placet, placid, plaice, plaid, plait, plaited, plat, plate, plated, plaudit, plea, plead, pleat, pled, pleiad, plica, plicae, plicate, plicated, plie, plied, plutei, puce, pud, pudic, pul, puli, put, taliped, tap, tape, taped, taupe, teacup, tepa, tepal, tepid, tip, tulip, tup, up, update, uplit. Puzzle 29 Complete the fifth circle with the correct dots.

[Ref: ZDMN] Kevin Stone Answer: At each stage, a new dot starts at the top, and then goes either clockwise, or counter-clockwise.

Puzzle 30 What is represented by this BrainBat? ENO ERAUQS OT

[Ref: ZUVB] Kevin Stone Answer: Back to square one. Puzzle 31D K

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Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows/cols/blocks. Letters allowed: C O L U M B U S.

[Ref: ZWPU] Alan Stillson and Frank Longo. Answer:D U C K

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Across: DUCK, PLUM, TOES, BALE Down : DOME, PLUS, CUBE, TALK Boxes : DUMP, LUCK, SOLE, BEAT Note : Other anagrams of these words are OK as long as they don't change the answer grid. Puzzle 32

I have a machine which has four cog wheels in constant mesh. The largest cog has 168 teeth and the others have 49, 32 and 15 respectively. How many revolutions must the largest cog make before each of the cogs is back in its starting position?

[Ref: ZTFU] Kevin Stone

Answer: 140 revolutions. If we break each wheel into its prime factors, we get: 168= 2 x 2 x 2 x 3 x 7 49 = 7 x 7 32 = 2 x 2 x 2 x 2 x 2 15 = 3 x 5 So revolutions x 168 --------------------------------2x2x2x2x2x3x5x7x7 revolutions x 2 x 2 x 2 x 3 x 7 --------------------------------2x2x2x2x2x3x5x7x7 revolutions ------------2x2x5x7 revolutions ------------140 Which means revolutions = 140. QED. Puzzle 33 Starting with the 6 in the bottom left corner, what is the highest total you can make, if you only move up or right, using the mathematical signs on the way?

[Ref: ZWYX] Kevin Stone Answer: 13.

Puzzle 34 By changing the second letter of each word below, you can make another valid word. Can you change each word such that the second letters will reveal an eleven letter word when read downwards. Therefore, what now reads VOKAHLIUPPW will be a real word. OVAL POST SKIN MALT WHEN SLAB MISS FUND APED SPED SWAY

[Ref: ZLRW] Kevin Stone Answer: Paperweight. OPAL PAST SPIN MELT WREN SWAB MESS FIND AGED SHED STAY Puzzle 35 Using the BrainTracker grid below, how many words can you find? Each word must contain the central M and no letter can be used twice, however, the letters do not have to be connected.

Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 47 words. Good: 35 words. Average: 25 words.

[Ref: ZVIX] Kevin Stone Answer: Common words: emit, emits, gem, gems, gnome, gnomes, hem, hems, him, home, homes, homing, item, items, me, men, mesh, meshing, met, might, mine, mines, mint, mints, mist, mite, mites, moist, moisten, month, months, most, moth, moths, ohm, ohms, omen, omens, omit, omits, some, SOMETHING, stem, them, time, times. All words: egoism, egotism, em, emit, emits, emoting, ems, eonism, gem, gemot, gemots, gems, genom, genoms, gismo, gnome, gnomes, gnomish, gnomist, hem, hemin, hemins, hems, him, hm, home, homes, homiest, homines, homing, inmesh, inmost, ism, item, items, me, men, meno, mesh, meshing, meson, mestino, met, meth, meths, meting, metis, mho, mhos, mi, mien, miens, mig, might, mights, migs, mine, mines, mint, mints, mis, mise, miso, mist, mite, mites, mitogen, mitogens, mo, mog, mogs, moist, moisten, mon, mongst, monie, monies, monish, monist, mons, monte, montes, month, months, mos, most, moste, mot, mote, motes, moth, moths, mots, nim, nims, nom, nome, nomes, noms, ohm, ohms, om, omen, omens, omit, omits, oms, semi, sentimo, shim, shmo, sim, smit, smite, smith, smog, smote, some, SOMETHING, somite, stem, stime, theism, them, theming, time, times, tom, tome, tomes, toms.

Puzzle 36 Place the digits 1 to 8, into the grid. The numbers you can see are the totals for the surrounding numbers.

[Ref: ZILN] Kevin Stone Answer:

Puzzle 37 Each of these words can have the same letter placed at the beginning and the end to form a new word. For example LIT becomes ELITE by adding an E at both ends. What are the new words?

EVE ABLE CARVE AS ON ODE ELUDE APE ATE ROD[Ref: ZKDH] Kevin Stone Answer: L + EVE + L = LEVEL T + ABLE + T = TABLET

S + CARVE + S = SCARVES E + AS + E = EASE G + ON + G = GONG M + ODE + M = MODEM D + ELUDE + D = DELUDED L + APE + L = LAPEL D + ATE + D = DATED E + ROD + E = ERODE Puzzle 38 A woman had three old coins - a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin. What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total? For this puzzle it can be assumed that of a coin is worth of its value.

[Ref: ZQJS] Kevin Stone - Based on a puzzle by Henry Ernest Dudeney. Answer: 727 of each coin was missing. The original value of the three coins was 100 + 25 + 10 = 135, and the new value was 100. So 35135 of the original value has been removed and 35135 = 727. QED. Puzzle 39 What is represented by this BrainBat? C CAVE

[Ref: ZSDS] Kevin Stone Answer: Concave [C on CAVE] or Undersea Cave [under C CAVE]. Puzzle 40 Using the BrainTracker grid below, how many words can you find? Each word must contain the central Q and no letter can be used twice, however, the letters do not have to be connected.

Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 7 words. Good: 6 words. Average: 5 words.

[Ref: ZFEH] Kevin Stone Answer: Common words: equip, EQUIPMENT, queen, quiet, quieten, quit, quite. All words: equine, equip, EQUIPMENT, pique, piquet, queen, quiet, quieten, quin, quint, quinte, quip, quit, quite. Puzzle 41 Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury. Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.

[Ref: ZVFT] Johan de Ruiter Visit www.puzzlepicnic.com for more Thermometer Puzzles. Answer:

Puzzle 42 Using the digits 1 to 9, create three 3-digit numbers. The second number is twice the first. The third number is three times the first.

[Ref: ZGEB] Submitted by Adailton J. Chiaradia. Answer:

Puzzle 43 Can you find anagrams of the following words? ASPIRATE ALARMING BLEATING DECIMATE CREATIVE CHEATING DOWNLOAD GRADIENT ALTITUDE GENERATE

[Ref: ZJYZ] Kevin Stone Answer: Parasite, marginal, tangible, medicate, reactive, teaching, woodland, treading, latitude, teenager. Puzzle 44 What is represented by this BrainBat? Dr Dr

[Ref: ZJBU] Answer: A paradox: a pair of Docs. Puzzle 45 Using the BrainTracker grid below, how many words can you find? Each word must contain the central H and no letter can be used twice. The letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 24 words. Good: 19 words. Average: 14 words.

[Ref: ZUWN] Kevin Stone Answer: Common words: ache, ah, CHAMELEON, each, echelon, echo, ha, hale, halo, ham, he, heal, heel, helm, hem, hen, hence, ho, hole, home, hone, leach, leech, loch, mach, macho, manhole, mocha, oh, ohm. All words: ache, achene, ah, ahem, almeh, chalone, cham, CHAMELEON, chao, chela, chelae, chemo, chon, each, eche, echelon, echo, eh, enhalo, ha, hae, haem, haen, hale, halm, halo, ham, hame, hance, hao, he, heal, heel, helm, helo, hem, hemal, heme, hen, hence, hm, ho, hole, holm, home, hon, hone, leach, lech, leech, loach, loch, lochan, mach, mache, macho, mahoe, manche, manhole, mho, mocha, mohel, nacho, nah, noh, oh, ohm.

Puzzle 46 In the illustration we have a sketch of Sir Edwyn de Tudor going to rescue his lady-love, the fair Isabella, who was held a captive by a neighbouring wicked baron. Sir Edwyn calculated that if he rode fifteen miles an hour he would arrive at the castle an hour too soon, while if he rode ten miles an hour he would get there just an hour too late. Now, it was of the first importance that he should arrive at the exact time appointed, in order that the rescue that he had planned should be a success, and the time of the tryst was five o'clock, when the captive lady would be taking her afternoon tea. The puzzle is to discover exactly how far Sir Edwyn de Tudor had to ride.

[Ref: ZBVT] Sir Edwyn De Tudor. Amusements In Mathematics by Henry Ernest Dudeney (1917). Answer: The distance must have been sixty miles. If Sir Edwyn left at noon and rode 15 miles an hour, he would arrive at four o'clock - an hour too soon. If he rode 10 miles an hour, he would arrive at six o'clock - an hour too late. But if he went at 12 miles an hour, he would reach the castle of the wicked baron exactly at five o'clock - the time appointed. Above is the answer given in the book, and below is a method of finding the answer. If we call the distance to the castle, D and using the fact that Time = Distance Speed, we have: Travelling at 15 mph: Time1 = D 15 Travelling at 10 mph: Time2 = D 10 (an hour too late) (an hour too soon)

The time gap between these two times is 2 hours, therefore Time2 - Time1 = 2 D 10 - D 15 = 2 Multiply throughout by 30: 3D - 2D = 60 D = 60 miles. QED.

Puzzle 47 Below, 10 nine letter words have been broken into chunks of three letters. These chunks have been mixed up, no chunk is used twice and all chunks are used. Can you determine what the 10 words are? som one dbr pen rtm ber nes ent ive eph eti ens mes off eak eid sep win erd tel day ter wed tem aft apa own car ern oon

[Ref: ZVLW] Kevin Stone Answer: Windbreak, eiderdown, sometimes, afternoon, September, carpenter, offensive, telephone, Wednesday, apartment. Puzzle 48 What value of * makes the following correct:

[Ref: ZWPF] Kevin Stone Answer: 3. Checking that 3 works: 3 3 3 3 - - - + - = 3 2 4 12 1 - 1.5 + 0.75 = 0.25 0.25 = 0.25, which confirms that 3 is correct. To deduce the answer directly from the question, we can multiply throughout by 12, * * * * - - - + - = -

*

2

4

12

to give: 12 - 6* + 3* = 1* 12 - 3* = 1* 12 = 4* 3=* As required. Puzzle 49 What is represented by this BrainBat? EST EST EST EST

[Ref: ZIMX] Kevin Stone Answer: Forest. [Four EST]. Puzzle 50 Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 70 words. Good: 50 words. Average: 38 words.

[Ref: ZNPB] Kevin Stone

Answer: Common words: adept, alp, ape, apt, cap, cape, clap, clip, cup, cupid, depict, dip, dupe, DUPLICATE, epic, lap, leap, leapt, lip, pa, pace, paced, pact, pad, paid, pail, pal, pale, pat, pate, pea, peal, peat, pedal, pelt, pet, petal, pi, pica, pie, pied, pile, piled, pit, pita, place, placed, placid, plaice, plaid, plait, plate, plated, plea, plead, pleat, pled, plied, pud, put, tap, tape, taped, taupe, teacup, tepid, tip, tulip, up, update. All words: adept, aliped, alp, ape, aped, aplite, apt, cap, cape, caped, caplet, caput, cep, clap, clapt, clept, clip, clipt, clupeid, culpa, culpae, cup, cupel, cupid, dap, depict, dip, dipt, dup, dupe, duple, DUPLICATE, elapid, epact, epic, epical, lap, leap, leapt, lept, lepta, letup, lip, pa, pac, pace, paced, pact, pad, padi, padle, paid, pail, pal, pale, paled, palet, pat, pate, pated, pe, pea, peal, peat, pec, peculia, ped, pedal, pelt, pet, petal, pi, pia, pial, pic, pica, pical, pice, picul, pie, pied, pieta, pilau, pile, pilea, piled, pit, pita, piu, place, placed, placet, placid, plaice, plaid, plait, plaited, plat, plate, plated, plaudit, plea, plead, pleat, pled, pleiad, plica, plicae, plicate, plicated, plie, plied, plutei, puce, pud, pudic, pul, puli, put, taliped, tap, tape, taped, taupe, teacup, tepa, tepal, tepid, tip, tulip, tup, up, update, uplit. Puzzle 52 Which square, which circle, and which triangle has the closest area to the doughnut shape on the left? The drawings are to scale, so you might be able to judge it, as well as working the actual areas out.

[Ref: ZKRC] Kevin Stone Answer: Circle: 3.5.

Square: 3.1. Triangle: 4.7. Doughnut The area of a circle is x Radius2. The larger circle has diameter = 4, therefore the radius is 2, and the area is x 22 = 4. The smaller circle has diameter = 2, therefore the radius is 1, and the area is x 12 = . Therefore the shaded area is 4 - = 3 9.42. Circle The area of a circle is x Radius2. The circle with diameter 3.1 has a radius of 1.55 and an area of x 1.552 = 7.55. The circle with diameter 3.5 has a radius of 1.75 and an area of x 1.752 = 9.62 (** closest match). The circle with diameter 3.9 has a radius of 1.95 and an area of x 1.952 = 11.95. Square The area of a square is Side x Side. The square with side 3.1 has an area of 3.1 x 3.1 = 9.61 (** closest match). The square with side 3.5 has an area of 3.5 x 3.5 = 12.25. The square with side 3.9 has an area of 3.9 x 3.9 = 15.21. Triangle The area of a triangle is x Base x Height. Using Pythagoras' theorem it can be shown that the area of an equilateral triangle is Sqrt(3) x Base2 4. The triangle with side 3.9 has an area of Sqrt(3) x 3.9 x 3.9 4 = 6.59. The triangle with side 4.3 has an area of Sqrt(3) x 4.3 x 4.3 4 = 8.01. The triangle with side 4.7 has an area of Sqrt(3) x 4.7 x 4.7 4 = 9.57 (** closest match).

Puzzle 53 Using all of the letters A to Z, each once only, complete these words: *e*el b*d s*i*l swa** fo* *er*y a*ur* *u*dy *uo*e *e*a*e ed** sc*r*y l*p **lls

[Ref: ZKQL] Kevin Stone Answer: Jewel, bad, skill, swaps, fox, ferry, azure, buddy, quote, menace, edgy, scurvy, lop, hills. Puzzle 54 What is represented by this BrainBat? ENO ERAUQS OT

[Ref: ZUVB] Kevin Stone Answer: Back to square one. Puzzle 55 Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 30 words. Good: 21 words. Average: 15 words.

[Ref: ZIYJ] Kevin Stone Answer: Common words: empire, emptier, imp, peer, per, PERIMETER, perm, permit, pert, pet, peter, pi, pie, pier, pit, premier, premiere, prier, prim, prime, primer, rip, ripe, riper, temp, temper, tip, trip, tripe. All words: empire, emptier, epee, epimer, epimere, imp, pe, peer, peerie, per, peri, PERIMETER, perm, permit, pert, perter, pet, peter, pi, pie, pier, pit, pree, preemie, premeet, premie, premier, premiere, preterm, pretrim, prier, prim, prime, primer, rep, retemper, rip, ripe, riper, temp, temper, temperer, tempi, tepee, tip, trip, tripe.

Puzzle 51 Complete the fifth circle with the correct dots.

[Ref: ZDMN] Kevin Stone Answer: At each stage, a new dot starts at the top, and then goes either clockwise, or counter-clockwise.

Puzzle 56 Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury. Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.

[Ref: ZZKV] Johan de Ruiter Visit www.puzzlepicnic.com for more Thermometer Puzzles. Answer:

Puzzle 57 Tommy: "How old are you, Mamma?" Mamma: "Let me think, Tommy. Well, our three ages add up to exactly seventy years." Tommy: "That's a lot, isn't it? And how old are you, Papa?" Papa: "Just six times as old as you, my son." Tommy: "Shall I ever be half as old as you, Papa?"

Papa: "Yes, Tommy; and when that happens our three ages will add up to exactly twice as much as to-day." Tommy: "And supposing I was born before you, Papa; and supposing Mamma had forgot all about it, and hadn't been at home when I came; and supposing..." Mamma: "Supposing, Tommy, we talk about bed. Come along, darling. You'll have a headache." Now, if Tommy had been some years older he might have calculated the exact ages of his parents from the information they had given him. Can you find out the exact age of Mamma?

[Ref: ZPYU] Mamma's Age. Amusements In Mathematics by Henry Ernest Dudeney (1917). Answer: The age of Mamma must have been 29 years 2 months. That of Papa, 35 years; and that of the child, Tommy, 5 years 10 months. Added together, these make seventy years. The father is six times the age of the son, and, after 23 years 4 months have elapsed, their united ages will amount to 140 years, and Tommy will be just half the age of his father. The answer above is taken from the original book, here is another version of the answer: If we call Tommy T, Mamma M and Papa P we can see that: "our three ages add up to exactly seventy years" leads to T + M + P = 70 (1) "Just six times as old as you" leads to P = 6 x T (2) In an unknown number of years (Y) "Shall I ever be half as old as you" leads to: P + Y = 2 x (T + Y) (3) and "our three ages will add up to exactly twice as much as to-day" leads to:

(T + Y) + (M + Y) + (P + Y) = 140 which can be written as T + M + P + 3Y = 140 (4) We can see from (4) and (1) that 3Y = 70 so Y = 70 3 (5) Using (2) and (5) in (3) we have P + Y = 2 x (T + Y) 6 x T + 703 = 2 x (T + 703) 4 x T = 703 T = 7012 (6) We can now use (6) in (2) to see that: P=6xT P = 6 x 7012 P = 702 And using the values for T and P in (1) we have: T + M + P = 70 7012 + M + 702 = 70 Multiply throughout by 12 to give: 70 + 12 x M + 420 = 840 12 x M = 840 - 420 - 70 12 x M = 350 M = 35012 So: Tommy = 7012 = 5.83333 = 5 years 10 months.

Papa = 702 = 35 = 35 years. Mamma = 35012 = 29.1666 = 29 years 2 months. QED. Puzzle 58 Below are ten words, from each word, remove a single letter and rearrange the remaining letters to find ten new words which are related to each other.

ENERGY DOORMAN CLEAREST WEIGHT OUTLIVE EMBARK CALMER SOLEMN VOIDING ARCHERY[Ref: ZIRD] Kevin Stone Answer: Green, maroon, scarlet, white, violet, amber, cream, lemon, indigo, cherry. ENERGY - Y = GREEN DOORMAN - D = MAROON CLEAREST - E = SCARLET WEIGHT - G = WHITE OUTLIVE - U = VIOLET EMBARK - K = AMBER CALMER - L = CREAM SOLEMN - S = LEMON VOIDING - V = INDIGO ARCHERY - A = CHERRY Puzzle 59 Fred can eat 27 chocolates in a hour, Alice can eat 2 chocolates in 10 minutes, and Kelly can eat 7 chocolates in 20 minutes. How long will it take them to share and eat a large box of 120 chocolates whilst watching a movie?

[Ref: ZGBB] Kevin Stone

Answer: 2 hours. In one hour, Fred eats 27 chocolates, Alice eats 12, and Kelly eats 21. A total of 60 chocolates. Therefore 120 chocolates would take 120 60 = 2 hours. QED. Puzzle 60 Using the BrainTracker grid below, how many words can you find? Each word must contain the central H and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. There is at least one nine letter word. Excellent: 39 words. Good: 25 words. Average: 18 words.

[Ref: ZZZF] Kevin Stone Answer: Common words: ache, ah, arch, archer, chain, chair, char, chi, chin, china, churn, churner, each, eh, enrich, ha, hair, hare, he, hear, heir, hen, her, hernia, hi, hire, hirer, hue, HURRICANE, inch, niche, ranch, rancher, reach, rhea, rich, richer, uh, urchin. All words: ache, achier, ah, arch, archer, archine, cahier, chain, chaine, chair, char, chare, charier, charr, chi, chia, chin, china, chine, chirr, chirre, churn, churner, churr, each, eh, enrich, ha, hae, haen, hair, hance, hare, he, hear, heir, hen, her, hern, hernia, hi, hic, hie, hin, hire, hirer, hue, huic, HURRICANE, ich, inarch, inch, nah, niche, nucha, nuchae, rah, ranch, rancher, raunch, RAUNCHIER, reach, rhea, rich, richen, richer, ruche, uh, unhair, urchin.