Puzzle 9
A 'complete' word is a word in which every letter, in turn, can be replaced by another to form a new word.
For example, RUG is a complete word because:
-ug = hug
r-g = rig
ru- = run
How many of the following words are not complete words? Proper nouns and names are not allowed.
hard
port
duck
bugs
bail
mast
thin
lean
fire
read
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: www.brainbashers.com/puzzle/zsgj
Hint
Another example, PEN is a complete word because:
-en = ten
p-n = pin
pe- = pea
Answer
Two of the words are not complete: bugs, lean.
Reasoning
The remaining 8 words can be changed as follows:
hard:
-ard = card
h-rd = herd
ha-d = hand
har- = harp
port:
-ort = fort
p-rt = part
po-t = poet
por- = pore
duck:
-uck = muck
d-ck = deck
du-k = dusk
duc- = duct
bugs:
-ugs = hugs
b-gs = bags
bu-s = buys
bug- = ----
bail:
-ail = hail
b-il = boil
ba-l = bawl
bai- = bait
mast:
-ast = cast
m-st = most
ma-t = malt
mas- = mask
thin:
-hin = shin
t-in = twin
th-n = than
thi- = this
lean:
-ean = mean
l-an = loan
le-n = ----
lea- = leaf
fire:
-ire = hire
f-re = fare
fi-e = five
fir- = firm
read:
-ead = bead
r-ad = road
re-d = reed
rea- = real
Puzzle 10
Alex and Billie were rowing their canoe along the River Trent.
In the morning, they managed to row upstream at an average speed of 2 miles per hour.
They then stopped for a spot of lunch and a nice rest.
In the afternoon, the pace was a little easier as they were now rowing downstream back to their starting point, and managed an average speed of 4 miles an hour.
The morning trip took them 3 hours longer than the afternoon.
How far did they row upstream?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: www.brainbashers.com/puzzle/zoty
Hint
You can either fix the distance rowed and see what numbers work, or you can fix the number of hours.
Answer
12 miles.
In the morning, rowing at 2 miles per hour, they rowed for 6 hours. In the afternoon, rowing at 4 miles per hour, they rowed for 3 hours.
There are a number of ways of working this out, and here are two of them:
Method 1
If we assume the distance the rowed upstream to be D miles, we know the morning took (D ÷ 2) hours, and the afternoon took (D ÷ 4) hours, with a difference of 3 hours. So:
D D
- – - = 3
2 4
Multiplying throughout by 4 gives:
2D – D = 12
So:
D = 12 miles
They rowed 12 miles upstream.
Method 2
If we assume they rowed for H hours upstream, we know they travelled H x 2 miles in the morning. In the afternoon, they rowed for (H – 3) hours, and travelled (H – 3) x 4 miles. We know these distances are the same, so:
2H = (H – 3) x 4
Giving:
2H = 4H – 12
Rearranging gives:
12 = 2H
So:
H = 6 hours
They rowed for 6 hours upstream at 2 miles per hour, which is a total of 12 miles.
Puzzle 11
Starting in the bottom left corner and moving either up or right, adding up the numbers along the way, what is the largest sum which can be made?
Note: this puzzle is not interactive, and the numbers cannot be clicked.
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
Share link: www.brainbashers.com/puzzle/zwsc
Answer
38.
Puzzle 12
What letter comes next in this sequence:
E O E R E {?}
workings
hint
answer
print
Share link: www.brainbashers.com/puzzle/zczl
Hint
This is a very common sequence.
Answer
X.
The last letters of the words one, two, three, four, five, six.
< previous next >
Note: BrainBashers has a Dark Mode option – I recommend not using your browser's dark mode or extensions for BrainBashers
