Shape, space and measure



Shape, space and measureSi?p, gofod a mesurAngle factsUp to level 6Ffeithiau am OnglauHyd at lefel 6Angle FactsNon CalculatorAT3 L6Ffeithiau am onglauHeb GyfrifiannellAT3 L6Find the missing angle in each question. Do not measure as the drawings are notaccurate. State the angle fact that you have used.Darganfyddwch yr ongl goll ym mhob cwestiwn. Peidiwch mesur gan nad yw’r lluniau’n fanwl gywir. Nodwch y ffaith am onglau a ddefnyddiwyd gennych.Area of a circleUp to level 6Arwynebedd CylchHyd at lefel 6Area of a CircleCalculatorAT3 L6Arwynebedd CylchCyfrifiannellAT3 L6AreaArea semicircle 1 Find the area of the following circles.2 Find the area of the following shapes. Remember a semi-circle is ? a circle.3 The centre circle of a football pitch has a diameter of 7 m. Calculate the area of thecentre circle.4 If radius of a dart board is 30 cm find the area of the dart board.5 The diagram below shows a trapezoidal garden with a semicircular fish pond.Calculate the area of the garden not including the fish pond.ArwynebeddArwynebedd hanner cylch 1 Darganfyddwch arwynebedd y cylchoedd canlynol.2 Darganfyddwch arwynebedd y siapau canlynol. Cofiwch fod hanner cylch yn ? cylch.3 Mae gan gylch canol-cae cae pêl-droed ddiamedr o 7 m. Cyfrifwch arwynebedd y cylch canol-cae.4 Os yw radiws bwrdd dartiau yn 30 cm, darganfyddwch arwynebedd y bwrdd dartiau.5 Mae’r diagram isod yn dangos gardd si?p trapeswim gyda phwll pysgod hanner cylch.Cyfrifwch arwynebedd yr ardd heb gynnwys y pwll pysgod.Area of compound shapesUp to level 5Arwynebedd siapiau cyfansawddHyd at lefel 5Compound ShapesNon CalculatorAT3 L5Siapiau CyfansawddHeb GyfrifiannellAT3 L5Work out the area of the following shapes:AreaCyfrifwch arwynebedd y siapiau canlynol:ArwynebeddArea of compound shapesUp to level 6HYPERLINK "" \t "_blank"Arwynebedd siapiau cyfansawddHyd at lefel 6Area - Compound ShapesNon CalculatorAT3 L6Arwynebedd – Siapiau CyfansawddHeb GyfrifiannellAT3 L6AreaArea TrapeziumNote: all the triangles are the same sizeArwynebeddArwynebedd TrapesiwmNodwch: mae’r trionglau i gyd yr un maintArea of rectangles and trianglesUp to level 5Arwynebedd petryalau a thrionglauHyd at lefel 5Area of Rectangles &TrianglesNon CalculatorAT3 L5Arwynebedd Petryalau a ThrionglauHeb GyfrifiannellAT3 L5Calculate the area of each of the following rectangles and triangles. Show any workings that you need to carry out.Cyfrifwch arwynebedd pob un o’r petryalau a’r trionglau canlynol. Dangoswch eich gwaith cyfrifo.Bearings and scale drawingsUp to level 6Cyfeirbwyntiau a lluniadau wrth raddfa Hyd at lefel 6Bearings & Scale DrawingsNon CalculatorAT3 L6Cyfeiriannau a Lluniadau wrth RaddfaHeb GyfrifiannellAT3 L61 State the three figure bearing represented in each diagram below.2 The diagram below shows the position of a ship (S) from a lighthouse (L).The diagram is not drawn accurately.(i) What is the bearing of the lighthousefrom the ship?(ii) What is the bearing of the ship fromthe lighthouse?3 A ship (S) is located on a bearing of065? from port A and a bearing of 310? from port B. Copy the diagram and use the bearings to mark accurately the position of the ship (S).Port AN (North)4 A ship sails on a bearing of 100? for 10 km. It then sails on a bearing of 310? for 7 km.(i) Using a scale of 1 cm = 1 km draw an accurate scale drawing of the ship’s journey.(ii) At the end of the journey how far in km is the ship from its starting point?Start1 Nodwch y cyfeiriant tri ffigwr sy’n cael ei gynrychioli ym mhob diagram isod.2 Mae’r diagram isod yn dangos lleoliad llong (S) o oleudy (L).Nid yw’r diagram wedi’i luniadu wrth raddfa(i) Beth yw cyfeiriant y goleudy o’r llong?(ii) Beth yw cyfeiriant y llong o’r goleudy?3 Mae llong (S) wedi ei leoli ar gyfeiriant o065? o borthladd A ac ar gyfeiriant o 310? o borthladd B. Cop?wch y diagram a defnyddiwch y cyfeiriannau i farcio’n gywir union leoliad y llong (S).Porthladd AG (Gogledd)4 Mae llong yn hwylio ar gyfeiriant o 100? am 10 km. Yna mae’n hwylio ar gyfeiriant o 310? am 7 km.(i) Gan ddefnyddio graddfa o 1 cm = 1 km, tynnwch lun wrth raddfa manwl gywir o daith y llong.(ii) Ar ddiwedd y daith, pa mor bell yw’r llong, mewn km, o’i man cychwyn?DechrauCircumference and perimeterUp to level 6Cylchedd a pherimedrHyd at lefel 6Circumference & PerimeterCalculatorAT3 L6Cylchedd a PherimedrCyfrifiannellAT3 L6Circumference1 Find the perimeter of the following shapes:CylcheddC = 2 x π x r neu π x dArc Hanner Cylch = 0.5 x 2 x π x rπ = 3.14 Os nad oes gyda chi fotwm πArc Pedrant = 0.25 x 2 x π x r1 Darganfyddwch berimedr y siapiau canlynol:EnlargementsUp to level 6HelaethiadauHyd at lefel 6EnlargementsNon CalculatorAT3 L6HelaethiadauHeb GyfrifiannellAT3 L61 Enlarge the following shapes by a scale factor of 2.2 Enlarge the following shapes by a scale factor of 3.3 Enlarge the following shapes by a scale factor of 2?.4 Enlarge the following shapes by a scale factor of ?.1.Helaethwch (enlarge) y si?piau canlynol yn ?l ffactor graddfa 2.2. Helaethwch (enlarge) y si?piau canlynol yn ?l ffactor graddfa 23 Helaethwch (enlarge) y si?piau canlynol yn ?l ffactor graddfa 2?.4 Helaethwch (enlarge) y si?piau canlynol yn ?l ffactor graddfa ?EnlargementsUp to level 7HelaethiadauHyd at lefel 7EnlargementsNon CalculatorAT3 L7HelaethiadauHeb GyfrifiannellAT3 L71 Enlarge triangle ABC by a scale factor of 2 from the centre of enlargement at(1, 2)2 Enlarge triangle ABC by a scale factor of 3 from the centre of enlargement at(0, 1)1 Helaethwch (enlarge) driongl ABC yn ?l ffactor graddfa 2 gan ddefnyddio (1,2) fel canol yr helaethiad.2 Helaethwch (enlarge) driongl ABC yn ?l ffactor graddfa 3 gan ddefnyddio (0,1) fel canol yr helaethiad.Imperial and metric measuresUp to level 5Mesurau imperial a metrig Hyd at lefel 5Imperial & MetricNon CalculatorAT2 L5Imperial a MetrigHeb GyfrifiannellAT2 L5Rough equivalences between the Imperial and Metric systems.Length5 miles 8 kmWeight1 kg 2.2 lbsVolume1 Litre 1.75 pintsExercise 1Convert the following kg to lbs and litres to pints. You will need to multiply by the conversion factor.2 kg d lbs2 litres d pintsExercise 2Convert the following lbs to kg and pints to litres. You will need to divide by the conversion factor. Look at the answers to Ex 1 as they might help you. You may use a calculator for the more difficult questions.Exercise 3Convert the following miles to km. You will need to divide by 5 and multiply by 8.10 miles - kmExercise 4Convert the following km to miles. You will need to divide by 8 and multiply by 5. 16 km - milesExercise 5More care is needed in this next exercise as there is a mixture of questions.Cywerthoedd bras rhwng y systemau Imperial a Metrig.Pellter5 milltir 8 kmPwysau1 kg 2.2 pwysCyfaint1 Litr 1.75 peintYmarfer 1Trawsnewidiwch y cilogramau canlynol i bwysi a’r litrau i beintiau. Bydd angen i chi luosi ?’r ffactor trawsnewid.2 cilogram d pwys2 litr d peintYmarfer 2 Trawsnewidiwch y pwysi canlynol i gilometrau a’r peintiau i litrau. Bydd angen i chi rannu ?’r ffactor trawsnewid. Edrychwch ar yr atebion i Ymarfer 1 oherwydd gallan nhw fod o help i chi. Cewch ddefnyddio cyfrifiannell ar gyfer y cwestiynau mwy anodd.Ymarfer 3Trawsnewidiwch y milltiroedd canlynol i gilometrau. Bydd angen i chi rannu ? 5 a lluosi gydag 8.10 milltir d cilometrYmarfer 4Trawsnewidiwch y cilometrau canlynol i filltiroedd. Bydd angen i chi rannu ag 8 a lluosi gyda 5. 16 cilometrau - milltirYmarfer 5Mae angen mwy o ofal yn yr ymarfer nesaf oherwydd bod cymysgedd o gwestiynau.LociUp to level 7wsHyd at lefel 7LociNon CalculatorAT3 L7LocwsHeb GyfrifiannellAT3 L71 Show the loci of a point that is:more than 3 cm from AB and within 3 cm of C.within 1 cm from BC and more than 2 cm from B.Within 4 cm of A and within 4 cm of C.More than 3? cm from B more than 1 cm of CD.(i) closer to A than to D but within 3? cm of C.(ii) Closer to AD than to AB but within 2 cm of AB.(iii) Closer to C than to A but nearer CD than AD(iv) Closer to AD than AB, within 3? cm of B and closer to C than B1 Lluniwch locws pwynt sydd:(i) mwy na 3 cm o AB ac o fewn 3 cm o C.(ii) o fewn 1 cm o BC a mwy na 2 cm o B.o fewn 4 cm o A ac o fewn 4 cm o C.Mwy na 3? cm o B, mwy nag 1cm o CD.(i) yn nes at A nag at D ond o fewn 3? cm o C.(ii) Yn nes at AD nag at AB ond o fewn 2 cm o AB.(iii) Yn nes at C nag at A ond yn nes at CD nag at AD(iv) Yn nes at AD nag at AB, o fewn 3? cm o B ac yn nes at C nag at BMetric conversionsUp to level 5Trawsnewidiadau MetrigHyd at lefel 5Mixed ConversionsNon CalculatorAT2 L5Trawsnewidiadau CymysgHeb GyfrifiannellAT2 L5Length1 km = 1,000 m1 m = 1,000 mmWeight1 tonne = 1,000 kg1 kg = 1,000 g1 g = 1,000 mgVolume1 litre = 1,000 ml1 litre = 100 cl1 litre = 1,000 cm?Exercise 1Convert between the following metric units. These are big to small conversions.You will need to multiply by the conversion factor.1 8 kg d g 2 3.5 m d cm5 litres d ml 4 4.5 cm d mm5 0.4 m d cm 6 75 cl d ml7 16 g d mg 8 5.6 km d m9 2.5 t d kg 10 2 litres d cm?Exercise 2These conversions are small to big. You will need to divide by the conversion factor.1 3500 g d kg 250 mm d cm3 75 cl d Litres 4 13,000 kg d t5 365 cm d m 6 3,200 kg d t7 450,000 cm d km 8 250 g d kg9 3250 m d km 10 15 g d kgExercise 3In this exercise there is a mixture of conversions, some big to small and others small to big.1 14 cm d mm 2 5.2 m d cm500 ml d cl 7,500 mm d m400 m d km 0.4 g d mg6,000 mm d m 200,000 cm d km175,000 kg d t 4.08 m d cm68 cm d m 0.07 km d m1780 mg d g 39 cm d mm330 ml d litres 0.58 kg d g90 ml d cl 3500 cm? d Litres0.069 km d m 85 ml d LitresPellter1 km = 1,000 m1 m = 1,000 mmPwysau1 tunnell fetrig = 1,000 kg1 kg = 1,000 g1 g = 1,000 mgCyfaint1 litr = 1,000 ml1 litr = 100 cl1 litr = 1,000 cm?Ymarfer 1Trawsnewidiwch rhwng yr unedau metrig canlynol. Y mae’r rhain yn drawsnewidiadau mawr i fach.Bydd angen i chi luosi ?’r ffactor trawsnewid1 8 kg d g 2 3.5 m d cm5 litr d ml 4 4.5 cm d mm5 0.4 m d cm 6 75 cl d ml7 16 g d mg 8 5.6 km d m9 2.5 t d kg 10 2 litr d cm?Ymarfer 2Y mae’r rhain yn drawsnewidiadau bach i fawr.Bydd angen i chi rannu ?’r ffactor trawsnewid.1 3500 g d kg 2 250 mm d cm3 75 cl d Litr 4 13,000 kg d t5 365 cm d m 6 3,200 kg d t7 450,000 cm d km 8 250 g d kg9 3250 m d km 10 15 g d kgYmarfer 3Yn yr ymarfer hwn mae cymysgedd o drawsnewidiadau, rhai yn fawr i fach ac eraill yn fach i fawr.1 14 cm d mm 2 5.2 m d cm3 500 ml d cl 4 7,500 mm d m5 400 m d km 6 0.4 g d mg7 6,000 mm d m 8 200,000 cm d km9 175,000 kg d t 10 4.08 m d cm11 68 cm d m 12 0.07 km d m13 1780 mg d g 14 39 cm d mm15 330 ml d litr 16 0.58 kg d g17 90 ml d cl 18 3500 cm? d Litr19 0.069 km d m 10 85 ml d LitrPolygonsUp to level 6PolygonauHyd at lefel 6PolygonsNon CalculatorAT3 L6PolygonauHeb GyfrifiannellAT3 L6Ext Angle Reg PolygonInterior Angle = 180? - Ext AngleOngl Allanol Polygon RheolaiddOngl Fewnol = 180? - Ongl Allanol1 The diagram below is of a regular pentagon.(i) Calculate the size of angle x.(ii) Calculate the size of angle y.(iii) What is the sum of the interiorangles of a pentagon?2 (i) Calculate the exterior angle of a regular hexagon.(ii) What is the sum of the interior angles of a regular hexagon.Find the size of the angles marked by the letters below.What is the sum of the interior angles of an nonagon (9 sided shape).1 Diagram o bentagon rheolaidd yw’r isod. (i) Cyfrifwch faint ongl x.(ii) Cyfrifwch faint ongl y.(iii) Beth yw swm onglau mewnol pentagon?2 (i) Cyfrifwch ongl allanol hecsagon rheolaidd.(ii) Beth yw swm onglau mewnol hecsagon rheolaidd.3. Darganfyddwch faint yr onglau a nodwyd gan y llythrennau isod.4. Beth yw swm onglau mewnol nonagon (si?p 9 ochrog)PythagorasUp to level 7PythagorasHyd at lefel 7Pythagoras’ TheoremCalculatorAT3 L7Theorem PythagorasCyfrifiannellAT3 L71 Find the missing side in each of the following right angle triangles. Give youranswers to 2 dp where necessary.2 A rectangular school hall has a length of 25metres and a width of 15 m. Calculate thediagonal distance across the hall.Diagonal distance3 A ladder of length 5 m rests against a wall. The bottom of the ladder is 1.2 m from the base of the wall. Calculate the vertical distance from the top of the ladder to the bottom of the wall.4 Use Pythagoras’ Theorem to find out if a triangle with sides 6 cm, 8 cm and 14 cm is a right angle triangle.5 Triangle ABC is an isosceles triangle where AB and AC = 8 cm, and BC = 5 cm. M is the mid point of BC. Calculate AM, the height of the triangle.6 The diagram shows a park PQRS.PQ is 48 m long.QR is 20 m long.RS is 36 m long.There is a path, PR, running across the park.(i) Calculate the length of the path, PR.(ii) Calculate the side of the park , PS.7 A square has a diagonal length of 20 cm.Calculate the length of its sides.8 An equilateral triangle has sides of 10 cm. Calculate the area of the triangle.Hint: Use Pythagoras’ Theorem to calculate the vertical height of the triangle.1 Darganfyddwch yr ochr sydd ar goll ym mhob un o’r trionglau ongl sgw?r canlynol. Rhowch eich atebion yn gywir i 2 le degol, lle bydd angen.2 Mae hyd neuadd ysgol si?p petryal yn 25metr a’i lled yn 15 m. Cyfrifwch y pellter croeslinol ar draws y neuadd.Pellter Croeslinol3 Mae ysgol 5 m o hyd yn pwyso yn erbyn wal. Mae gwaelod yr ysgol yn 1.2 m o waelod y wal. Cyfrifwch y pellter fertigol o ben yr ysgol i waelod y wal.4 Defnyddiwch Theorem Pythagoras i ddarganfod a yw triongl ag ochrau 6 cm, 8 cm a 14 cm yn driongl ongl sgw?r.5 Mae triongl ABC yn driongl isosgeles lle mae AB ag AC = 8 cm, a BC = 5 cm. M yw canolbwynt BC. Cyfrifwch AM, sef uchder y triongl.6 Mae’r diagram yn dangos parc PQRS.Mae PQ yn 48 m o hyd.Mae QR yn 20 m o hyd.Mae RS yn 36 m o hyd.Mae llwybr, PR, yn rhedeg ar draws y parc.(i) Cyfrifwch hyd y llwybr, PR.(ii) Cyfrifwch faint ochr y parc, PS.7 Mae hyd croeslin sgw?r yn 20 cm.Cyfrifwch hyd ei ochrau.8 Mae ochrau triongl hafalochrog yn 10 cm. Cyfrifwch arwynebedd y triongl.Awgrym: Defnyddiwch Theorem Pythagoras i gyfrifo uchder fertigol y triongl.ReflectionsUp to level 6AdlewyrchiadauHyd at lefel 6ReflectionsNon CalculatorAT3 L6AdlewyrchiadauHeb GyfrifiannellAT3 L6Reflect the following shapes across their mirror lines.Adlewyrchwch y siapiau canlynol yn y llinellau drych.RotationsUp to level 6CylchdroadauHyd at lefel 6RotationsNon CalculatorAT3 L6CylchdroadauHeb GyfrifiannellAT3 L61 Rotate the following shapes 90? clockwise about their turning points marked *.2 Rotate the following shapes 180? clockwise about their turning points marked *.Rotate the following shapes 270? clockwise about their turning points marked *.Rotate the following shapes 90? anticlockwise about their turning points marked *.1 Cylchdrowch y siapiau canlynol 90? clocwedd o gylch eu trobwyntiau a nodwyd gyda *.Cylchdrowch y siapiau canlynol trwy 90? yn glocwedd o amgylch *. 2 Cylchdrowch y siapiau canlynol trwy 180? yn glocwedd o amgylch *. 3 Cylchdrowch y siapiau canlynol 270? clocwedd o gylch eu trobwyntiau a nodwyd gyda *.Cylchdrowch y siapiau canlynol trwy 270? yn glocwedd o amgylch *. Cylchdrowch y siapiau canlynol 90? gwrthglocwedd o gylch eu trobwyntiau a nodwyd gyda *.Cylchdrowch y siapiau canlynol trwy 90? yn wrthglocwedd o amgylch *. Speed, Distance, TimeUp to level 7Cyflymder, Pellter, AmserHyd at lefel 7Speed/Distance/TimeCalculatorAT3 L7Cyflymder/Pellter/AmserCyfrifiannell AT3 L7Use the formula Speed = Distance / Time or the triangle to answer the following questions. Make sure you give the correct units for your answers.1 A car travels 200 miles in 4 hours. Calculate its average speed.2 A man runs 100 m in 12.5 seconds. Calculate his average speed.3 A train travels 80 miles in 1 hour 15 minutes. Calculate its average speed.4 A person walks 15 km in 2 hour 30 minutes. Calculate his average speed.5 A car travels 10 miles in 20 minutes. Calculate its average speed.6 A jet fighter travels at 900 mph. How far will the jet travel in 4 hours?7 An athlete runs at a constant speed of 8 m/s. How long will it take the athlete to run400 m?8 A tennis ball travels at 40 m/s. How far will it travel in 1? seconds?9 A car travels 15 miles in 45 minutes. Calculate its average speed.10 A middle distance runner runs at an average speed of 6 m/s. How long will it take himto run 1500 m, give your answer in seconds. Convert your answer to minutes.11 The travel graph below shows the journey for a train travelling from Swansea toLondon.(i) At what time did the train arrive at Bristol?(ii) How many stops did the train make on its journey to London?(iii) What was the speed of the train between Bristol and Reading? Give youranswer to the nearest mph.(iv) Between which cities did the train travel at its fastest?(v) What was the average speed of the train from Swansea for the wholejourney? Give your answer to the nearest mph.How much time did the train from Swansea spend in stations?LondonReadingBristolNewportSwanseaDistance (Miles)Time (Hours)Defnyddiwch y fformiwla Cyflymder = Pellter / Amser neu’r triongl i ateb y cwestiynau canlynol. Gwnewch yn si?r eich bod yn rhoi’r unedau cywir yn eich atebion.1 Mae car yn teithio 200 milltir mewn 4 awr. Cyfrifwch ei gyflymder cyfartalog2 Mae dyn yn rhedeg 100 m mewn 12.5 eiliad. Cyfrifwch ei gyflymder cyfartalog3 Mae trên yn teithio 80 milltir mewn 1 awr a 15 munud. Cyfrifwch ei gyflymder cyfartalog4 Mae person yn cerdded 15 km mewn 2 awr a 30 munud. Cyfrifwch ei gyflymder cyfartalog5 Mae car yn teithio 10 milltir mewn 20 munud. Cyfrifwch ei gyflymder cyfartalog6 Mae jet ryfel yn teithio ar gyflymder o 900 milltir yr awr. Pa mor bell fydd y jet yn teithio mewn 4 awr?7 Mae athletwr yn rhedeg ar gyflymder cyson o 8 m/e. Faint o amser fydd yr athletwr yn ei gymryd i redeg 400 m?8 Mae pêl tennis yn teithio ar gyflymder o 40 milltir yr eiliad. Pa mor bell fydd y bêl yn teithio mewn 1? eiliad?9 Mae car yn teithio 15 milltir mewn 45 munud. Cyfrifwch ei gyflymder cyfartalog.10 Mae rhedwr pellter canolig yn rhedeg ar gyflymder cyfartalog o 6 m/e. Faint o amser fydd y rhedwr yn ei gymryd i redeg 1500 m, rhowch eich ateb mewn eiliadau. Trawsnewidiwch eich ateb i funudau.11 Mae’r graff teithio isod yn dangos taith trên sy’n teithio o Abertawe i Lundain.(i) Pryd cyrhaeddodd y trên Bryste?(ii) Sawl gwaith yr arhosodd y trên ar ei siwrnai i Lundain?(iii) Beth oedd cyflymder y trên rhwng Bryste a Reading? Rhowch eich ateb i’r mya agosaf.(iv) Rhwng pa ddinasoedd y teithiodd y trên ar ei gyflymaf?(v) Beth oedd cyflymder cyfartalog y trên o Abertawe am y daith gyfan? Rhowch eich ateb i’r mya agosaf.(vi)Faint o amser dreuliodd y trên o Abertawe mewn gorsafoedd?LlundainReadingBrysteCasnewyddAbertawePellter (Milltiroedd)Amser (Oriau)SymmetryUp to level 5CymesureddHyd at lefel 5SymmetryNon CalculatorAT3 L5CymesureddHeb GyfrifiannellAT3 L5On the following shapes draw any lines of symmetry. Underneath state their order ofrotational symmetry.Order of rotational symmetryOrder of rotational symmetryOrder of rotational symmetryOrder of rotational symmetryTynnwch unrhyw linellau cymesuredd ar y siapiau canlynol. Oddi tanynt, nodwch drefn eu cymesuredd cylchdro.Trefn cymesuredd cylchdroTrefn cymesuredd cylchdroTrefn cymesuredd cylchdroTrefn cymesuredd cylchdroVolume of a cube/cuboidUp to level 5Cyfaint ciwb/ciwboidHyd at lefel 5Volume of a Cube/CuboidNon CalculatorAT3 L5Ciwb/CiwboidHeb GyfrifiannellAT3 L5Volume of a Cube/Cuboid = H xW x L1 Find the volume of the following cuboids.HeightWidthLength4 cm30 mmIn these questions make sure you convert to the same units before you multiply.2 Find the volume of the following cubes.3 A shoe box has dimensions 30 cm by 20 cm by 60 cm. Calculate the volume of theshoe box.4 A box has a volume of 360 cm?. Find four different sets of dimensions the box couldhave.Volume5 How many cubes of side 2 cm would fit in a cube of side 6 cm? Hint: You will needto find the volume of each box.6 A car’s petrol tank measures 50 cm by 60 cm by 20 cm. How many litres of fuel canthe petrol tank hold?7 A light bulb box has dimensions 10 cm by 5 cm by 6 cm. A larger box has dimensions10 cm by 15 cm by 10 cm. Find the number of light bulb boxes that will fit into thelarger box.Cyfaint Ciwb/Ciwboid = U x Ll x H1 Darganfyddwch gyfaint y ciwboidau canlynol.UchderLledHyd4 cm30 mmYn y cwestiynau hyn, gwnewch yn si?r eich bod yn trawsnewid i’r un unedau cyn lluosi.2 Darganfyddwch gyfaint y ciwbiau canlynol.3 Mae mesuriadau bocs esgidiau yn 30 cm wrth 20 cm wrth 60 cm. Cyfrifwch gyfaint y bocs esgidiau.4 360 cm? yw cyfaint bocs. Darganfyddwch bedwar set gwahanol o fesuriadau posib ar gyfer y bocs.Cyfaint5 Sawl ciwb a’i ochr yn 2 cm fyddai’n ffitio mewn ciwb a’i ochr yn 6 cm? Awgrym: Bydd angen i chi ddarganfod cyfaint pob bocs.6 Mae tanc petrol car yn mesur 50 cm wrth 60 cm wrth 20 cm. Sawl litr o danwydd y gall y tanc ddal?7 Mesuriadau bocs bylbiau golau yw 10 cm wrth 5 cm wrth 6 cm. Mae mesuriadau bocs o fwy yn 10 cm wrth 15 cm wrth 10 cm. Darganfyddwch nifer y bocsys bylbiau golau a fydd ffitio yn y bocs mwy o faint.Isometric gridsUp to level 5Gridiau isometrigHyd at lefel 5Isometric GridsNon CalculatorAT3 L5Gridiau IsometrigHeb GyfrifiannellAT3 L51 On isometric paper draw cuboids with the following dimensions.2 Draw two boxes for each of the following volumes. State whether they are cubes orcuboids and label the three dimensions height (H), width (W) and length (L).1 Ar bapur isometrig, tynnwch lun ciwboidau ?’r mesuriadau canlynol.2 Tynnwch lun dau focs am bob un o’r cyfeintiau canlynol. Nodwch a ydynt yn giwbiau neu’n giwboidau a labelwch y tri mesuriad uchder (U), lled (Ll) a hyd (H).Volume of a prismUp to level 7Cyfaint prismHyd at lefel 7Volume of a PrismCalculatorAT3 L7Cyfaint PrismCyfrifiannell AT3 L7Volume of a Prism = Area Cross-section x LengthAreaL x WArea = ? b x hArea TrapeziumCyfaint Prism = Arwynebedd Trawstoriad x HydArwynebeddH x LlArwynebedd = ? s x u (sail x uchder?)Arwynebedd Trapesiwm ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download