Perimeter nd Are Student Book - Series J- L B Mthletis Instnt Workooks Copyright
Student Book - Series J Contents Topis Topi - Plne shpes Topi 2 - Perimeter of regulr shpes Topi 3 - Perimeter of irregulr plne shpes Topi 4 - Perimeter of setor Topi - Ares of plne shpes Topi - Are of setor Topi 7 - Composite nd shded res Topi - Applitions of re Dte ompleted Prtie Tests Topi - Topi test A Topi 2 - Topi test B Author of The Topis nd Topi Tests: AS Klr Mthletis Instnt Workooks Series J
Topi : Plne shpes QUESTION Nme the following tringles. x Nme the following qudrilterls. QUESTION 3 Nme the following polygons. QUESTION 4 Nme the following shpes. d e f 34 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK Mthletis Instnt Workooks Series J
Topi 2: Perimeter of regulr shpes QUESTION Write the perimeter formul next to eh shpe. Ss d e f O r l ) l r s Find the perimeter of eh shpe. All mesurements re in entimetres. 32 20 7 QUESTION 3 Find the perimeter of eh tringle. All mesurements re in entimetres. 2 0 4 0 QUESTION 4 Find the perimeter of eh shpe. All mesurements re in entimetres. 4 2 7 0 3 Mthletis Instnt Workooks Series J 2
Topi 3: Perimeter of irregulr plne shpes QUESTION 7 Find the perimeter of the following shpes. All mesurements re in entimetres. 7 2 9 7 d 2 4 Find the perimeter. 9 4 7 7 9 2 3 2 9 d 2 3 4 0 7 4 9 9 QUESTION 3 Three sides of pentgon re eh equl to 7 m nd the remining two sides re m nd 7 2 m. Find its perimeter. QUESTION 4 A room mesures 74 m long nd 9 m wide. The other two sides re eh equl to 0 32 m. Find its perimeter. Mthletis Instnt Workooks Series J 3
Topi 4: Perimeter of setor QUESTION Wht frtion of the omplete irle is eh shded setor? 20 270 0 30 g h i 4 0 22 Find the r length of the following, leving your nswers in ext form. 20 m 20 m 20 m 0º 4 20 m 20 20 m 270 O 20 m QUESTION 3 Find the perimeter of eh shded setor, orret to one deiml ple. m 20 20 m 72 2 m 2 m 4 3 m m 270 Mthletis Instnt Workooks Series J 4
) Topi : Ares of plne shpes QUESTION Write the re formul for eh shpe elow. S h d e f y < h h g h i x < r r l Find the re of the following shpes. All mesurements re in entimetres. 2 4 d e f 4 20 3 4 2 3 3 4 0 < < 4 QUESTION 3 Find the re of eh shpe. m m 2 m 0 m m 24 m 2 m O m 0 m 4 m 4 m Mthletis Instnt Workooks Series J
Topi : Are of setor QUESTION These six irles hve the sme rdius. List the setors in sending order of re. 270 0 20 4 Clulte the re of eh setor orret to two signifint figures. 0 m 22 m m 20 m 0 m 270 22 2 m QUESTION 3 Find the re of eh setor, leving your nswer in terms of π. 24 m m 240 3 m QUESTION 4 Find the rdius, orret to one deiml ple, for eh setor. A = 42 m 2 20 A = 7 m 2 270 A = 20 m 2 Mthletis Instnt Workooks Series J
Topi 7: Composite nd shded res QUESTION Find the re of eh omposite figure y dividing it into different shpes. All mesurements re in m nd ll ngles re right ngles. 20 2 0 0 3 20 9 3 24 2 9 3 2 4 3 Find the re of the following shded shpes. All mesurements re in entimetres. 27 20 4 3 0 20 2 0 7 2 23 0 3 QUESTION 3 Find the re of eh shded shpe. m m 2 m d e O f 20 4 m 2 m A m O is the entre of the irle with r AB m EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 40 B 2 m Mthletis Instnt Workooks Series J 7
Topi : Applitions of re QUESTION A retngulr lwn hs onrete pth m wide ll round it. If the lwn is 4 m y 2 m, find the totl re of onrete. _ A irulr pond hs dimeter of 7 m. A onrete pth 2 m wide is pled ll round it. Find the re of the pth orret to the nerest squre metre. _ QUESTION 3 A throom of the size shown is to e overed with 2 m y 2 m tiles. Assume tht offuts from the tiles nnot e used elsewhere. How mny tiles re needed to fit ross the length of the throom? m How mny tiles re needed for the width of the throom? 4 2 m How mny tiles re needed ltogether? d Given tht tiles ost $39.0/m 2, nd the tiler hrges $27/m 2 (of floor spe), wht is the ost of tiling the throom floor? QUESTION 4 A frmer wnts to spred 40 kg of fertilizer per hetre. Find the weight of the fertilizer in tonnes needed to fertilize n 00 m y 0 m field. Mthletis Instnt Workooks Series J
Topi Test PART A Time llowed: minutes Totl mrks = How mny entimetres re there in 2 metres? A 2 B 200 C 20 D 20 2 The re of irle is given y the formul A πr2 B πd2 C 2πr2 D 2πd2 3 The perimeter of irle is lled its A rdius B dimeter C irumferene D semi-irle 4 How mny mm 2 in m 2? A B 0 C 00 D 000 Wht is the ost of tiling floor 2 m y m t $30 per squre metre? A $240 B $30 C $20 D $20 Wht is the perimeter in m of squre tht hs n re of 4 m 2? A m B 24 m C 32 m D 40 m 7 How mny tiles, eh mesuring 20 m 20 m re needed for floor 0 m 0 m? A 200 B 000 C 2 000 D 0 000 The rdius of the Erth is pproximtely 400 km. Wht is the irumferene of the Erth t the Equtor? A 40 km B 27 0 km C 40 22 km D 20 0 km 9 Wht is the re of irle of rdius m? Answer to the nerest squre metre. A m2 B 3 m2 C 0 m2 D 22 m2 0 The irumferene of iyle wheel is 2 m. How fr does the ylist trvel in 000 turns of the wheel? A 440 m B 97 m C 200 m D 3 94 m Find the perimeter of n equilterl tringle of side 2 3 m. A 2 9 m B 4 7 m C 7 0 m D None of these 2 The distne from the erth to the sun is 0 million kilometres. The erth revolves one round the sun eh yer. Wht distne is this to the nerest million kilometres? A 47 B 942 C 472 D 942 3 Find the irumferene of wheel with dimeter 9 m. Answer to the nerest m. A 30 B C 4 D 30 4 Wht is the side length of squre tht hs the sme perimeter s retngle of 2 m y m? A 4 B C 9 D 2 A squre hs perimeter of 4 m. Its re in m 2 is A 4 B 0 C 9 D 44 Mrks Mthletis Instnt Workooks Series J Totl mrks hieved for PART A 9
Topi Test PART B Time llowed: minutes Totl mrks = Question Wht is the side length of squre tht hs n re of 20 000 m 2? Convert 2 4 m 2 to m 2. If the re of tringle is 20 m 2 nd its se is 24 m, find the height of the tringle. d Clulte the rdius of semi-irle whose re is 4π m 2. e A rhomus hs digonls 72 mm nd 9 mm, find its re. Mrks Question 2 Find the perimeter of eh of the following shpes. e Question 3 Find eh shded re. 32 m m 24 m d e 2 m 0 m m 0 m 34 m m 0 m 0 m 3 m O 4 m 3 m 2 4 m m m d m m m 22 m m 2 m 2 2 Mthletis Instnt Workooks Series J Totl mrks hieved for PART B 0