Unluckily, last week I lost my measuring tape. It was unlucky as I had to measure Daniel's toy box.
Luckily though I could remember that the top had an area of 720 square inches, the side was 800 square inches and the end was 360 square inches.
What were the true dimensions of the toy box?
[Ref: ZWSK] © Kevin Stone
Hint: A little algebra might help.
Width=40, height=20, depth=18.
If we call the height H, the width W and the depth D we have:
H x W = 800 (so H = 800 ÷ W) (1)
W x D = 720 (so W = 720 ÷ D) (2)
H x D = 360 (so H = 360 ÷ D) (3)
Using (1) and (3) we have:
--- = ---
800 x D = 360 x W
800 x D = 360 x 720
800 x D 2 = 259,200
D 2 = 324
D = 18
Using (2), W = 40.
Using (1), H = 20. QED.
Add one Z to the following word to form another valid English word:
You may change the order of the letters.
[Ref: ZEWS] © Kevin Stone
Hint: Add one Z - literally.
one Z + LEG = ONE Z LEG = ONEZLEG > LOZENGE.
Four related words are merged below:
MAAP EABA NNGP PRLE ANAO
[Ref: ZMUN] © Kevin Stone
Hint: The words are all fruits.
Banana, apple, pear and mango.
Using the BrainTracker grid below, how many words can you find? Each word must contain the central
N 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: 28 words. Good: 22 words. Average: 19 words.
[Ref: ZPGB] © Kevin Stone
Hint: Every word must contain the central letter.
an, anew, answer, aspen, earn, en, enwrap, nap, nape, near, nee, new, newer, NEWSPAPER, pan, pane, pawn, pen, prawn, preen, ran, renew, sane, saner, sawn, seen, sewn, snap, snapper, snare, sneer, span, spawn, swan, wan, wane, warn, wean, wren.
an, ane, anes, anew, answer, arpen, arpens, aspen, awn, awns, earn, earns, en, ens, enwrap, enwraps, ern, erne, ernes, erns, na, nae, nap, nape, napes, nappe, napper, nappers, nappes, naps, nares, naw, ne, neap, neaps, near, nears, nee, neep, neeps, new, newer, news, NEWSPAPER, pan, pane, panes, pans, pawn, pawnee, pawnees, pawner, pawners, pawns, pean, peans, peasen, peen, peens, pen, penes, pens, prawn, prawns, preen, preens, ran, ranee, ranees, rappen, renew, renews, resawn, resewn, rewan, sane, saner, sawn, seen, sen, sene, sewan, sewn, snap, snapper, snare, snaw, sneap, sneer, span, spawn, spawner, spean, swan, wan, wane, wanes, wans, warn, warns, wean, weaner, weaners, weans, ween, weens, wen, wens, wren, wrens.