formulae - realsmart
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Formulae
1 Scottbuildsapatternusingtrianglesandcircles.
a) Drawthenextdiagraminthepattern.
b) Scottrecordsthenumberoftrianglesandcirclesinatable.
Completethetable.
Numberoftriangles 1 2 3 4 5
Numberofcircles 3
c) c=numberofcirclesandt=numberoftriangles
Circletheformulathatdescribesthepattern.
c=t+3 c=3t t=3c t=3+c
d) Howmanycircleswilltherebewith10triangles?
Showyourworking.
2 a) Completethetable.
Numberofweeks 1 2 3 5 10
Numberofdays 7
b) Completetheformulatoshowtherelationshipbetweendays(d)
andweeks(w).
d= w
c) Howmanydaysaretherein32weeks?
3 a) Writeaformulafortheareaandperimeteroftherectangle.
area=
perimeter=
b) Workouttheareaandperimeteroftherectangleif
a=17cmandb=8cm
Showyourworkings.
area= perimeter=
4 a) Writeaformulafortheareaandperimeterofthesquare.
area=
perimeter=
b) Workouttheareaandperimeterofthesquareifd=8.5cm
Showyourworkings.
area= perimeter=
©WhiteRoseMaths2019
a
b
d
5 Doramakesasquarepatternusinglollysticks.
Sherecordsthenumberofsquaresandsticksinatable.
a) Continuethepatternandcompletethetable.
Numberofsquares,s 1 2 3 4 5
Numberoflollysticks,l 4 7
b)
ShowthatEvaiswrong.
Howmanysticksareneededtomake10squares?
c) Circletheformulathatdescribesthepattern.
l=3s+1 l=4s+1 l=3(s+1)
©WhiteRoseMaths2019
6 Hereareadogwalker’sprices.
a) Howmuchdoesthedogwalkerchargefora2-hourjob?
b) Writeaformulatoshowthecost(c)for(h)hours.
7 TheWoodenLetterCompanysells
woodenlettersfor£2each,
plus£1.50fordeliveryofeachorder.
a) Whitneyplacesanorderfortheletterstospellouthername.
Howmuchdoesitcost?
£
b) Writeaformulatoshowthecost(c)forthenumberofletters(n).
Eva
You need 35 lolly sticks to make 10 squares. I
multiplied the number needed for 2 squares by 5
WalkiesDog Walker
£12 per hour plus £5 travel