UJAZO A-1

Tafuta kimo cha mche mstatili ufuatao ikiwa ujazo wake ni  sm³300

Suluhu

Ujazo = urefu x upana x kimo

300 = 10 x 6 x h

300 = 60 x h

300 = 60h

 60      60

 

5 = h

Kwa hiyo kimo ni sm 5

KDS A-1

Tafuta KDS kati ya 95 na 80.

Suluhu

KDS=2X2X2X2X5X19

KDS=8X2X5X19

KDS=16X5X19

KDS=80X19

KDS=1520

Hivyo KDS ni 1520

ALJEBRA A-2

Ikiwa 4a + 20 = 48; tafuta thamani ya a

Suluhu

4a + 20 = 48

4a + 20-20 = 48-20  [toa 20 kila upande]

4a + 0 = 28

4a = 28

4a = 28

4       4

a= 7

Kwa hiyo a = 7

ALJEBRA A-1

w - 11 = 5. Tafuta thamani ya w

Suluhu

w - 11 = 5

w – 11+ 11 = 5 + 11

w – 0 = 16

w = 16

Hivyo w = 16

MZINGO PEMBETATU A-1

Mzingo wa pembetatu ifuatayo ni sm 37. Tafuta thamani ya W.

Suluhu

Mzingo = jumla ya pande zote

37 = w + (w+8) + 15

37 = 2w + 23

37 - 23=2w

14 = 2w

14 = 2w

 2      2

7 = w

Hivyo w = sm 7