Medium Puzzles 

Workings

Hint
The first letters of the words are: A, C, D, D, I, L, M, N, P, R.

Answers
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle

Workings

Hint
The chemical symbol for iron is Fe.

Answer
Yttrium.

The element's symbols are spelling February:

   iron (Fe) + bromine (Br) + uranium (U) + argon (Ar) + yttrium (Y)

Workings

Hint
The first word begins with the letter Z.

Answers
-e--a   = zebra   (ZBR) -ui-ar  = guitar  (GT) --ick   = quick   (QU) -a-     = sad     (SD) bo-     = box     (X) -owe-   = vowel   (VL) -on-ey  = monkey  (MK) -el     = eel     (E) ra-     = ray     (Y) ---kage = package (PAC) --ll    = will    (WI) mo--    = moon    (ON) -eap    = heap    (H) -eep    = jeep    (J) -un     = fun     (F)
Alternative Answers
Zebra, guitar, quick, jam, box, vowel, donkey, eel, ray, package, will, moon, heap, seep, fun.

Zebra, guitar, quick, jaw, box, vowel, monkey, eel, ray, package, fill, moon, heap, deep, sun.

Zebra, guitar, quick, lay, box, vowed, monkey, eel, ran, package, will, mojo, heap, seep, fun.

Zebra, guitar, quick, way, box, vowel, monkey, eel, raj, package, sill, moon, heap, deep, fun.

Zebra, guitar, quick, say, box, vowed, monkey, eel, raj, package, hill, moon, leap, weep, fun.

Zebra, guitar, quick, has, box, vowed, monkey, eel, ray, package, will, moon, leap, jeep, fun.

Can you find another?

Workings

Hint
The answer is 4 digits long, so what must G equal?

Answer
423 + 675 = 1098.

Reasoning
Remembering that:
   even + even = even
   odd  + odd  = even
   even + odd  = odd

To discuss individual letters, it's easiest to represent the sum as:
   A B C
   D E F +
————————
 G H I J

A + D has to be over 9, which means that G = 1.

B + E = I, is even + odd = odd, which means that we can't have a carry from C + F (otherwise it would have been even + odd + 1, which is even).

The 1 has already gone, so the smallest possible value for either C or F is 3, which means that the other can't be 7 or 9 (otherwise we'd have a carry).

Therefore, C and F are 3 and 5, but we don't know which is which. But we do now know that J = 8.

A + D = H, is even + even = even, which means that we can't have a carry from B + E. Therefore, E can't be 9, as this would force a carry. So E = 7.

I is the only remaining odd number, so I = 9.

Which means that B = 2.

Neither A nor D can be 0 (otherwise we would have two of the same digit). So, H = 0.

Therefore, A and D are 4 and 6 (but we don't yet know which is which).

Since the top row's digits have to add to 9, A can't be 6, so A = 4, making C = 3.

This makes the sum 423 + 675 = 1098.