One of my favorite easy sock patterns:
ANOTHER JOAN'S SOCKS
A pattern in three sizes (women's, men's, and children's) using 1
strand of WoolEase or other DK weight yarn. Will fit about a women's
size 9, men's size 11, children's size 2.
Some variations: use up leftover yarn by making multicolor stripes,
make heels and toes a different color, use a two color slip stitch
pattern for the ankle part, use any two or four stitch texture pattern
for the ankle part and/or the top of the foot part, make entire ankle
part in rib, etc.
Requires about one skein for the women's (medium) size. One set of
size 6 dp needles
Instructions are for women's size with men's size and children's size
in parentheses.
Cast on 40 (48, 32) stitches, dividing them on three needles as
follows: 10-20-10 (12-24-12, 8-16-8). Join, being careful not
to twist. Work K2P2 rib for 2 (2, 1-1/2) inches. Continue in
stockinette or pattern until piece measures 6 (8, 4-1/2) inches, or
desired length.
Begin heel flap. Work across first needle. Turn. Now, working back
and forth only on the stitches on the two needles with fewer stitches,
and turning the work each row: P one row (wrong side), slip one knit
one for one row (right side) until you can count 7 (8, 6) larger
stitches up the slip one rib - 14 (16, 12) rows. End with a wrong side
row (right side facing you ready to begin).
Turn heel. Slip 1, knit 12 (14, 9), slip 1, knit 1, passed
slipped stitch over knit stitch, turn. Slip 1, purl 6 (6, 4), purl 2
together, turn. Slip 1, knit 6 (6, 4), slip, knit and pass, turn.
Repeat last two rows until all stitches have been worked, then work
right side row.
Gussets: Pick up 10 (12, 8) stitches on left side of flap, work across
stitches on center needle, pick up 10 (12, 8) stitches on right side of
flap. Knit half the heel stitches onto this needle, put the other half
onto the needle where you picked up the first group of stitches. Knit
one row around. Decrease row: Knit to within 3 stitches of end of
first needle, slip, knit, pass, knit 1. Work center needle. On third
needle, knit one, knit 2 together, finish row. Knit one row even.
Repeat these two rows until you are back to the number of stitches you
cast on (40, 48, 32).
Knit around until 8-1/2 (10, 6-1/2) inches, or about 1-1/2 inches
short of desired length of foot. Work across first needle so that you
are ready to start with center needle.
Toe: Decrease Row: knit 1, knit 2 together, knit to 3 stitches before
end of needle, slip, knit, and pass, knit one, (on second needle) knit 1,
knit 2 together,
knit to 3 stitches before end of
third needle, slip, knit, and pass,
knit one. Work one row even. Repeat these two rows until you have 16
(24, 12) stitches left all together. Weave top and bottom of toe
together using kitchener stitch.
and my favorite scarf
Cast on a multiple 3 + 1
very easy: slip the first stitch. k k p across. Do that for every row until it's long enough for you.