Random Puzzles 

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.

Zebra, guitar, quick, oaf, box, vowel, monkey, eel, ray, package, dill, mown, heap, jeep, sun

Can you find another?

Workings

Hint
The first country is Bangladesh.

Answer
Bangladesh, Egypt, Fiji, Finland, Japan, Liechtenstein, Nicaragua, Switzerland, Tunisia, Zambia.

Workings

Hint
You might find Pythagoras' theorem very useful [a² + b² = c²].

Answer
148 inches.



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:

   a² + b² = c²

Where c is the hypotenuse.

This gives us:

          48² + (R − 8)² = R²

   2304 + (R − 8)(R − 8) = R²

    2304 + R² − 16R + 64 = R²

         2304 − 16R + 64 = 0

                     16R = 2368

                       R = 148

As required.

Workings

Hint
Try working backwards.

Answer
120 miles.

Reasoning
I now have 5 miles left to travel, so I must have travelled 5 miles yesterday.

At the end of Day 3, I had 10 miles left to travel, so I must have had 40 miles left at the start of the Day 3.

At the end of Day 2, I had 40 miles left to travel, so I must have had 60 miles left at the start of the Day 2.

At the end of Day 1, I had 60 miles left to travel, so I must have had 120 miles left at the start of the Day 1.

Double-Checking
On the Day 1, I travelled 60 miles, leaving 60 miles.

On Day 2, I travelled 20 miles, leaving 40 miles.

On Day 3, I travelled 30 miles, leaving 10 miles.

Yesterday, I travelled 5 miles, leaving 5 miles.