AQA GCSE Maths - Longman AQA Functional Maths sample pages: “Practise the Maths”, Area & perimeter

5 cm 5 cm 5 cm69 mm69 mm69 mm1.7 cm1.7 cm1.7 cm6 cm 6 cm 6 cm0.6 cm0.6 cm0.6 cm4 cm3 cm4 cm3 cm 3 cm42 mm4 cm42 mm42 mm5 cm69 mm1.7 cm6 cm0.6 cm4 cm3 cm42 mm25 m 25 m 25 m9 cm 9 cm 9 cm10 m 10 m 10 m16 m 16 m 16 m4 cm 4 cm 4 cm6 m 6 m 6 m25 m9 cm10 m5 cm69 mm1.7 cm6 cm5 cm69 mm1.7 cm16 m0.6 cm6 cm4 cm6 m0.6 cm4 cm3 cm42 mm4 cm3 cm42 mmaaabb7 cmb7 cm 7 cmcc4 cm 4 cmc4 cm5 cm 5 cm 5 cm10Perimeter and area2 cm 2 cm 2 cm4 cm 4 cm 4 cm4 cm 4 cm 4 cmLEVEL 1ab7 cmc4 cm25 m25 m9 cm10 m5 cm9 cm10 m2 Work out the area of these r2 cmectangles.•4 cm4 cm16 mFPractise the maths4 cm6 mCTIONAL Ua 16 mb cNN4 cm6 mUC8 cm 8 cm 8 cm18 m 18 m 18 m12 mm12 mm12 mmF TYou need to calculate lengths and areas when you are doing I• LOA NDIY or gardening – for example, for working out how much 3 cm 3 cm 3 cmweed-killer you need to cover a lawn.8 mm8 mm8 mm8 cm18 m20 m 20 m12 mm20 m10.1 Calculating the perimeter of a rectangle3 cmab7 cmc4 cm8 cmab7 cm8 mm c4 cm 5 cm6 cm5 cm20 mWorked example: Work out the Perimeter is the distance 2 cm4 cm4 cmperimeter of this rectangle.3 cm5 cm10.3 Calculating areas of shapes made from rectangles3 cmaround the edge of a 2 cm8 cm 8 cm 8 cm4 cm4 cm5 cm88 cm211 cmshape. W69 mmrite in any 1.7 cm6 cm35 cm2 7 cm6 cmmissing dimensions to Worked example:0.6 cm Work out the area of this shape.8 cmMethod 14 cm3 cm42 mmcalculate the perimeter.6 + 3 + 6 + 3 or (6+3) x 26 cm1 8 cm1 cm11 cm11 cm8 cmDivide the shape into two 13 cm6 cm7 cm 7 cm 7 cmAnswer 5 cm8 cmrectangles, then add t18 mhe 12 mm18 cm(1 mark)3 cm3 cm8 cm18 m5 cm 12 mmareas together.5 cm88 cm211 cm3 cm69 mm1.7 cm3 cm6 cm3 cm11 cm35 cm23 cm13 cm 7 cm13 cm13 cm88 cm211 cm8 mm16 cm8 cm3 - 8 = 5 cmWork out the perimeter of these rectangles. 0.6 cm8 mm7 cm35 cm2 7 cm20 m3 cm6 cm4 cm42 mm20 ma b cTotal area = 88 + 3525 m11 - 7 = 4 cm5 cm5 cm5 cm69 mm69 mm69 mm1.7 cm1.7 cm1.7 cm13 cm6 cm6 cm6 cm9 cm10 m12 cm12 cm12 cm17 mm17 mm17 mm13 cm0.6 cm0.6 cm0.6 cm13 cmAnswer123 cm211 cm (3 marks)3 m 3 m 3 m4 cm3 cm 3 cm 3 cm3 cm3 cm3 cm16 m4 cm4 cm42 mm42 mm42 mm7 cm4 cm6 m28 mm28 mm28 mm8 cm3 - 8 = 5 cm5 m 5 m8 cm12 cm9 m 9 m 9 m5 mMethod 28 cm3 - 8 = 5 cm17 mm25 m13 cm8 cm11 - 7 = 4 cm5 cm 5 cm 5 cm11 x 13 = 143Make the shape into a 29 cm10 mThe diagram shows a rectangular field.11 - 7 = 4 cm3 m3 cmlarger rectangle, then 13 mm13 mm13 mm11 cm28 mm5 cm 5 cmMr Haywar69 mmd wants to build a fence ar69 mmound the edge of the 1.7 cm 1.7 cm5 x 4 = 20 5 m11 cmsubtract the area.16 m6 cm 6 cm7 cm9 cm 9 cm11 cm9 cm9 m2 m 2 m 2 m40 mm40 mm40 mm25 m25 m25 m11 cmfield. Fencing costs £8 per metre.4 cm6 m0.6 cm 0.6 cm7 cm5 cm143 - 207 cm7 cmHow much will his fence cost?3 cm 3 cma9 cm9 cm9 cm4 cm 4 cmb10 m10 m10 m42 mm42 mm 7 cmc4 cm13 mm5 cm69 mm1.7 cm13 cm2 m 2 m Answer2 m 123 cm2 (3 marks)6 cm5 cm16 m16 m16 m13 cm13 cm10.2 Calculating the area of a rectangle4 cm4 cm4 cm6 m6 m6 m0.6 cm13 cm9 cm2 m40 mm2 cm4 cm4 cm0.8 m0.8 m 0.8 m4 cm3 cm42 mm1 Work out the area of these shapes.Worked example: Work out the area of these rectangles.a 2 mb c12 cm17 mmaArea of a rectangle b7 cmc4 cm12 cm17 mm3.5 m3.5 m 3.5 m3 m25 m 25 ma b= length × width5 cm0.8 m3 cm9 cm 9 cm10 m 10 mThe units of area are 3 m3 cm28 mm5 m8 cm18 mcm2, mm2 or km2.2 cm4 cm4 cm28 mm12 mm9 ma aa16 mb16 m bb7 cm7 cm7 cmc cc 4 cm4 cm4 cm5 m25 m9 m4 cm 4 cm6 m6 m5 cm5 cm5 cm5 cm3.5 m3 cm9 cm10 m5 cm4 m 4 m 4 m13 mm8 mm13 mm2 cm2 cm2 cm4 cm4 cm4 cm20 m4 cm4 cm4 cm16 m9 cm2 m40 mm4 cm6 mArea = 9 × 49 cmArea = 6 × 102 m40 mm8 cm18 m12 mmAnswer 4 m36 cm2 (1 mark)Answer 60 m2(2 marks)2 The diagram shows a plan of a wooden patio. 2 m3 cm2 maabb 7 cm 7 cmcc4 cm 4 cmMaya wants to apply two coats of varnish to the patio.8 mm 0.8 m8 cm8 cm8 cm5 cm 5 cm1 Work out the ar18 m18 m18 mea of these r20 m8 cmectangles.12 mm12 mm12 mmShe has enough varnish to cover 16 m0.8 m2 of wood. 3 cm2 cm 3 cm3 cm2 cm4 cm 4 cm4 cm 4 cmDoes she have enough varnish? a8 mm8 mm8 mmb7 cmc4 cm3.5 m5 cmShow your working.11 cm20 m20 m20 m3.5 m2 cm7 cm4 cm4 cm8 cm4 m8 cm 8 cm18 m 18 m13 cm12 mm12 mm4 m8 cm8 cm 808 cm3 cm 3 cmPractise the maths11 cmPerimeter and area818 mm 8 mm8 cm12 cm18 m12 mm17 mm7 cm20 m 20 m3 m3 cm3 cm11 cm11 cm11 cm13 cm8 mm28 mm7 cm7 cm7 cm20 m9 m5 m5 cm12 cm17 mm13 cm13 cm13 cm13 mm8 cm 8 cm3 m3 cm9 cm2 m40 mm28 mm12 cm12 cm12 cm17 mm17 mm17 mm8 cm9 m5 m11 cm 11 cm7 cm 7 cm2 m3 m5 cm3 cm3 m3 cm3 m3 cm13 mm0.8 m28 mm28 mm28 mm11 cm9 m5 m9 m5 m9 m5 m9 cm2 m40 mm13 cm 13 cm5 cm5 cm5 cm7 cm13 mm13 mm13 mm3.5 m2 m9 cm12 cm 9 cm9 cm12 cm2 m13 cm 2 m2 m40 mm40 mm40 mm17 mm17 mm0.8 m3 m3 m3 cm 3 cm2 m2 m2 m28 mm28 mm4 m12 cm17 mm9 m9 m 5 m5 m0.8 m0.8 m0.8 m3.5 m5 cm 5 cm3 m3 cm13 mm13 mm28 mm9 m5 m9 cm 9 cm2 m2 m40 mm40 mm3.5 m3.5 m3.5 m5 cm4 m 13 mm2 m2 m9 cm2 m40 mm4 m4 m4 m0.8 m 0.8 m2 m0.8 m3.5 m 3.5 m3.5 m4 m4 m4 m