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Complete this grid with the digits 1 to 6 to make the sum correct.
Perform each mathematical operation in the order shown, from left to right, e.g. 1 + 2 x 3 is treated as (1 + 2) x 3 = 9.
Note: there is no ÷ 1, and at no point is a decimal or fraction used.
[Ref: ZXLN] © Kevin Stone
Hint: The first number is 2.
Each of the following sets of letters can be made into a real word by adding three letters to the beginning, and the same three letters in the same order to the end.
For example, ANGLEM can have ENT added at the start and the end to become ENT + ANGLEM + ENT = ENTANGLEMENT.
[Ref: ZTVA] © Elliott Line This puzzle appeared in Mensa's EnigmaSig (203.08) and is used with permission.
Hint: MIC + ROCOS + MIC = MICROCOSMIC
ENT + ERTAINM + ENT = ENTERTAINMENT
RED + ISCOVE + RED = REDISCOVERED
ING + ROW + ING = INGROWING
ANT + IOXID + ANT = ANTIOXIDANT
MIC + ROCOS + MIC = MICROCOSMIC
A rope swing hangs vertically down so that the end is 12 inches from the ground, and 48 inches from the tree.
If the swing is pulled across so that it touches the tree, it is 20 inches from the ground.
How long is the rope?
[Ref: ZYJB] © Elliott Line This puzzle appeared in Mensa's EnigmaSig (198.24) and is used with permission.
Hint: You might find Pythagoras' theorem very useful [a 2 + b 2 = c 2].
We can use Pythagoras' theorem if we draw an imaginary line across to create a right-angled triangle.
The hypotenuse is equal to the rope's length R. The bottom of the triangle is 48 inches. The vertical side is R - 8 (the difference between 20 inches and 12 inches).
Pythagoras' theorem tells us that:
a 2 + b 2 = c 2
Where c is the hypotenuse.
This gives us:
48 2 + (R - 8) 2 = R 2
2304 + (R - 8)(R - 8) = R 2
2304 + R 2 - 16R + 64 = R 2
2304 - 16R + 64 = 0
16R = 2368
R = 148
As required. QED.
What is represented by this BrainBat?
P U R P O S E S
[Ref: ZZPV] © Kevin Stone
Answer: Crossed purposes or dual purposes.
Can you complete these 5-letter words?
[Ref: ZCIV] © Kevin Stone
Hint: One of words begins with the letter S.
.S.G. >> USAGE
..R.F >> SERIF
.ZU.. >> AZURE
E..X. >> EPOXY
.P..C >> OPTIC
..LN. >> KILNS
.W..M >> SWARM
...JO >> BANJO
Q...A >> QUOTA
.V.K. >> EVOKE
I..H. >> ITCHY
.B.Y. >> OBEYS
..DT. >> WIDTH
The BrainBashers safe has a rather unusual control panel. In order to open the safe you have to
press every single button once only, in the correct sequence, ending on the button marked E.
Each button clearly states which button to press next, for example, 2U means move up 2 buttons and 3R means move right 3 buttons.
Can you determine which button you must start with?
[Ref: ZCBS] © Kevin Stone
Hint: Start anywhere and see which squares are missing.
Answer: Start from the 2R on the sixth row down and second column across.
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. Can you find the nine letter word?
Excellent: 25 words. Good: 18 words. Average: 13 words.
[Ref: ZSWU] © Kevin Stone
Hint: Every word must contain the central letter.
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.
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.
These words can all have a letter added and then be rearranged to make a new 5-letter word, e.g. noun union NOUN + I = UNION.
The 7 added letters are an anagram of a 7-letter word. What is the 7-letter word, and what are the new words?
[Ref: ZQUH] © Kevin Stone
MAIL + C =
EXIT + S = EXI ST
GOSH + T = GHOS T
CITY + H = ITC HY
NEWT + I = TW INE
DENY + E = N EEDY
MINI + M = MINI M
And the letters CSTHIEM spell CHEMIST.
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 t ver cross the road without looking.'
o ne 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
Hint: Eight is at the end of another word.
3 - The robins love hiding amongst the smoo
ds. th ree
7 - It's always worth looking after your friend if they've upset you. s, even
8 - Even heavyw boxers like using soft tissues when they have a cold. eight
5 - To avoid the cal ered sharply to the left. f, I ve
9 - The eggs were boxed thirteen instead of a doze ach baker's delivery box. n in e
1 - Having salm very day for lunch gets a little boring after a while. on e
10 - The at dance at the local football match exceeded last weeks by many thousands. ten
4 - We need to waterproo boots to make sure we don't get wet. f our
2 - Meeting friends after work allows executives to ne rk effectively. two
6 - The orchestra sounded magnificent with the three virtuo ylophonists.
Place a horizontal or a vertical line into every blank square.
Each number tells you the total length of the lines connected to that square.
[Ref: ZFLF] © Johan de Ruiter Visit www.puzzlepicnic.com for more Wall Puzzles.
Hint: Start by looking at the 6 and 4 on the top row.