WISKUNDIGE GELETTERDHEID
GRAAD 10
NOG OEFENINGE
Omtrek en oppervlakte van 2D-figure.
GRAAD 10
NOG OEFENINGE
Omtrek en oppervlakte van 2D-figure.
MATHEMATICAL LITERACY
GRADE 10
MORE EXERCISES
Perimeter and area of 2D figures.
GRADE 10
MORE EXERCISES
Perimeter and area of 2D figures.
Jy mag die volgende formules
gebruik om onderstaande vrae
te beantwoord :
Gebruik die volgende afkortings
Lengte = l of L
Breedte = b of B
Hoogte = h
Middellyn = D of d
straal / radius = r
sy = s
Omtrek = P
Oppervlakte = A
Formules :
Figuur :
Reghoek :
Omtrek= P = 2(l + b)
Oppervlakte = A = lb
Vierkant :
P = 4 x s
A = s⊂2 :
Driehoek :
P = s1 + s2 + s3
A = ½bh
Sirkel :
P = 2 x π x r of P = πD
A = Π x r2 or A = ¼ x π X D2
Bereken die omtrek en
oppervlakte van elke figuur :
1.1 Figuur 1
[ A 1.1 ]
1.2 Figuur 2
[ A 1.2 ]
1.3 Figuur 3
[ A 1.3 ]
1.4 Figuur 4
[ A 1.4 ]
1.5 Figuur 5
[ A 1.5 ]
1.6 Figuur 6
[ A 1.6 ]
1.7 Figuur 7
[ A 1.7 ]
1.8 Figuur 8
[ A 1.8 ]
1.9 Figuur 9
[ A 1.9 ]
1.10 Figuur 10
[ A 1.10 ]
1.11 Verwys na figuur 9.
Bereken die
1.11.1 omtrek van driehoek EBC.
[ A 11.1 ]
1.11.1 oppervlakte van AECD.
[ A 11.2 ]
gebruik om onderstaande vrae
te beantwoord :
Gebruik die volgende afkortings
Lengte = l of L
Breedte = b of B
Hoogte = h
Middellyn = D of d
straal / radius = r
sy = s
Omtrek = P
Oppervlakte = A
Formules :
Figuur :
Reghoek :
Omtrek= P = 2(l + b)
Oppervlakte = A = lb
Vierkant :
P = 4 x s
A = s⊂2 :
Driehoek :
P = s1 + s2 + s3
A = ½bh
Sirkel :
P = 2 x π x r of P = πD
A = Π x r2 or A = ¼ x π X D2
Bereken die omtrek en
oppervlakte van elke figuur :
1.1 Figuur 1
[ A 1.1 ]
1.2 Figuur 2
[ A 1.2 ]
1.3 Figuur 3
[ A 1.3 ]
1.4 Figuur 4
[ A 1.4 ]
1.5 Figuur 5
[ A 1.5 ]
1.6 Figuur 6
[ A 1.6 ]
1.7 Figuur 7
[ A 1.7 ]
1.8 Figuur 8
[ A 1.8 ]
1.9 Figuur 9
[ A 1.9 ]
1.10 Figuur 10
[ A 1.10 ]
1.11 Verwys na figuur 9.
Bereken die
1.11.1 omtrek van driehoek EBC.
[ A 11.1 ]
1.11.1 oppervlakte van AECD.
[ A 11.2 ]
You may use the following formulae to
answer to questions below :
Use the following abbreviations :
Length = l or L
Breadth = b or B
Height h or H
base = b
Diameter = D or d
radius = r
side = s
Perimeter = P
Formules :
Figure :
Rectangle :
Perimeter = P = 2(l + b)
Area = A = lb
Square :
P = 4 x s
A = s⊂2 :
Triangle :
P = s1 + s2 + s3
A = ½bh
Circle :
Circumference = P = 2 x π x r or P = πD
A = Π x r2 or A = ¼ x π X D2
Calculate the perimeter and area
of every figure :
1.1 Figure 1
[ A 1.1 ]
1.2 Figure 2
[ A 1.2 ]
1.3 Figure 3
[ A 1.3 ]
1.4 Figure 4
[ A. 1.4 ]
1.5 Figure 5
[ Answer 1.5 ]
1.6 Figure 6
[ A 1.6 ]
1.7 Figure 7
[ A 1.7 ]
1.8 Figure 8
[ A 1.8 ]
1.9 Figure 9
[ A 1.9 ]
1.10 Figure 10
[ A 1.10 ]
1.11 Refer to figure 9.
Calculate the
1.11.1 perimeter of triangle EBC.
[ A 11.1 ]
1.11.1 area of AECD.
[ A 11.2 ]
answer to questions below :
Use the following abbreviations :
Length = l or L
Breadth = b or B
Height h or H
base = b
Diameter = D or d
radius = r
side = s
Perimeter = P
Formules :
Figure :
Rectangle :
Perimeter = P = 2(l + b)
Area = A = lb
Square :
P = 4 x s
A = s⊂2 :
Triangle :
P = s1 + s2 + s3
A = ½bh
Circle :
Circumference = P = 2 x π x r or P = πD
A = Π x r2 or A = ¼ x π X D2
Calculate the perimeter and area
of every figure :
1.1 Figure 1
[ A 1.1 ]
1.2 Figure 2
[ A 1.2 ]
1.3 Figure 3
[ A 1.3 ]
1.4 Figure 4
[ A. 1.4 ]
1.5 Figure 5
[ Answer 1.5 ]
1.6 Figure 6
[ A 1.6 ]
1.7 Figure 7
[ A 1.7 ]
1.8 Figure 8
[ A 1.8 ]
1.9 Figure 9
[ A 1.9 ]
1.10 Figure 10
[ A 1.10 ]
1.11 Refer to figure 9.
Calculate the
1.11.1 perimeter of triangle EBC.
[ A 11.1 ]
1.11.1 area of AECD.
[ A 11.2 ]
Jan wil die vloer van 'n kamer teël.
Die diagram hierbo toon die
afmetings van 'n teël en die kamer.
2.1 Bereken die oppervlakte van die
vloer. Jy mag die volgende
formule gebruik :
oppervlakte = lenge X breedte
[ A 2.1 ]
2.2 Skakel die oppervlakte van die
vloer om na mm2.
[ A 2.2 ]
2.3 Bereken die aantal teëls wat
nodig is. Jy mag die formule gebruik
vloer oppervlakte
Aantal teëls = ───────────
teël oppervlakte
[ A 2.3 ]
2.4 Bereken die aantal kartonne met
teëls wat hy moet koop as
1 karton 20 teëls bevat.
[ A 2.4 ]
2.5 Bereken die koste vir die teëls as
1 karton teëls R56,50 kos.
[ A 2.5 ]
John wants to tile the floor of a room.
The diagram above shows the dimensions
of a tile and the floor.
2.1 Calculate the area of the floor.
You may use the following formula :
area = length X breadth
[ A 2.1 ]
2.2 Convert the area of the floor to
mm2
[ A 2.2 ]
2.3 Calculate the number of tile required.
You may use the formula :
area of floor
Number of tiles = ─────────
area of tile
[ A 2.3 ]
2.4 Calculate the number of cartons
containing the tiles that he has to
buy if 1 carton contains 20 tiles.
[ A 2.4 ]
2.5 Calculate the cost of the tiles if
1 carton of tiles costs R56,50
[ A 2.5 ]
Die diagram hierbo toon 'n
klein dammetjie.
3.1 Peter beweer dat die omtrek van
die dam 25,7 m is. Is sy bewering
korrek? Toon al jou berekeninge. :
[ A 3.1 ]
3.2 Bereken die oppervlakte van
die dam. Jy mag die formule
oppervlakte = lengte X breedte gebruik.
[ A 3.2 ]
3.3 Bereken die volume van die water,
in m3 en i liter, wat nodig is om
die dammetjie te vul as die dammetjie
550 mm diep is.
NB. volume = lengte X breedte X hoogte
en 1 m3 = 1 000 ℓ
[ A 3.3 ]
The diagram above shows a
small pond.
3.1 Peter claims that the perimeter of the
pond is 25,7 m. Is his claim correct?
Show all your calculations.
[ A 3.1 ]
3.2 Calculate the area of the pond.
You may use the formula :
area = length X width
[ A 3.2 ]
3.3 Calculate the volume of water,
in m3 and in litres. necessary to fill the pond
if the pond is 550 mm deep.
N.B. volume = length X width X height and
1 m3 = 1 000 ℓ
[ A 3.3 ]