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