Length, Mass and Time

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1 Length, Mass and Time Student Book - Series H- m Mathletis Instant Workbooks Copyright

2 Student Book - Series H Contents Topis Topi - Symbols and prefixes Topi 2 - Conversion of units of length Topi - Perimeter of regular shapes Topi - Perimeter of irregular shapes Topi 5 - Conversion of units of mass Topi - Appliations of mass Topi 7 - Conversion of units of time Topi - Addition and subtration of times Topi - Cloks and times Topi 0 - Problem solving with length, mass and time Date ompleted Pratie Tests Topi - Topi test A Topi 2 - Topi test B Author of The Topis and Topi Tests: AS Kalra Copyright P Learning

3 Topi : Symbols and prefixes QUESTION Complete the following table by writing the symbol for the name of the unit. QUESTION 2 Complete the following table by writing the symbol of the prefix. QUESTION State the most appropriate unit (kilometres, metres or entimetres) for the following. a b d Length of a basketball ourt Height of a door Distane between Sydney and Brisbane Length of a pen Copyright P Learning

4 Topi 2: Conversion of units of length QUESTION Convert the following to entimetres (m). a m = b m = 2 m = d. m = e m = f m = g.5 m = h m = i 5 m = j 7 m = k 2.25 m = l 5. m = m 0 mm = n 0 mm = o 700 mm = p 7 mm = QUESTION 2 Convert the following to metres (m). a 200 m = b 200 m = 0 m = d 0 m = e 500 m = f 2500 m = g 50 m = h 20 m = i 000 m = j 000 m = k 50 m = l 570 m = m km = n 5 km = o.75 km = p km = QUESTION Convert eah of the following lengths to millimetres (mm). a m = b.5 m = 2.25 m = d 0 m = e m = f 2 m = g.5 m = h 7. m = i m = j 5 m = k.52 m = l 5.5 m = m 20 m = n 0 m = o 25.5 m = p 50. m = QUESTION Convert the following measurements to the units shown. a 5 m = m b 000 mm = m.5 km = m d 0 mm = m e 7m = mm f mm = m g.5 m = mm h 2. km = m i m = m j 00 m = mm k 0 m = mm l m = m m km = m n 5. m = m o 50 mm = m p 2. m = m QUESTION 5 Complete the following onversions. a hm = m b 5 da m = m 5 dm = m d.7 m = m e 0 dm = m f 2 Mm = m g 7 dm = m h 2. m = mm i 0 m = dam j 2 dm = m k 5 m = m l 5 m = mm m dm = m n 0 hm = m o 50 hm = m p 5 mm = m Copyright P Learning 2

5 Topi : Perimeter of regular shapes QUESTION Find the perimeter of eah of the following triangles. a b 7 m 7 m m m m 2 m 7 m m 5 m m d m e f m m 7 m 7 m m m 7.5 m QUESTION 2 Find the perimeter of the following squares and retangles. a 0 m b 2 m m m 7 m 20 m d e f 2 m m m QUESTION Find the perimeter of the following. m m m a b m m 5 m 7 m 0 m d e f 7 m m 5 m 00 Copyright P Learning

6 Topi : Perimeter of irregular shapes QUESTION Find the perimeter of the following. (All measurements are in entimetres.) 0 a b d 5 e f QUESTION 2 Find the missing lengths of the following shapes and then find the perimeter of eah. (All measurements are in entimetres.) 2 a b d 2 QUESTION 2 a b If the perimeter of a square is 72 metres, find the length of eah side. A room is measured. metres long and 5. metres wide. Find the differene between the length and width in metres. Copyright P Learning

7 Topi 5: Conversion of units of mass QUESTION Convert the following to kilograms. a t = b.5 t =.5 t = d t = e.2 t = f. t = g 2 t = h.25 t = i 5. t = j t = k 7.5 t = l.2 t = m 5000 g = n 500 g = o 00 g = p 000 g = q 750 g = r 575 g = QUESTION 2 Change the following to grams. a 5 kg = b t = 5. kg = d 7 kg = e 2 kg = f.57 kg = g.25 kg = h 5.5 kg = i 2 t = j 7. kg = k.75 kg = l 2.50 kg = m kg = n t = o.07 kg = p 5. kg = q.5 kg = r.00 kg = QUESTION Convert the following to the units shown. a 7000 g = kg b. t = kg.5 t = kg d kg = t e 500 g = kg f kg = t g 0 g = kg h 5 g = kg i. t = kg j 2000 g = kg k 000 kg t l 05 kg = t m.75 t = kg n 2.25 t = kg o.205 t = kg p 50 g = kg q g = kg r 00 kg = t QUESTION Complete the following. a 000g = kg b 000 kg = t 5. t = kg d 2. t = kg e 000 kg = t f t = kg g 00 g = kg h 500 kg = t i t = kg 02 Copyright P Learning 5

8 Topi : Appliations of mass QUESTION a A paket of sugar weighs 00 g. How many of these pakets would weigh tonne? b There are five members in a family and the average mass is 2.5 kg. What is the total mass? A truk and its load have a mass of t, 00 kg. The mass of the truk is one-third of this. What is the mass of the load? d Find the mass of the ontainer of a produt if its gross mass is.5 kg and net mass is 250 g. e Find the net mass (mass of ontents) if the gross mass of a pakage is 0 g and the ontainer s mass is 0 g. QUESTION 2 a A ship has a mass of kg. What is this in tonnes? b Arrange the following masses in asending order (from smallest to largest). 0 g, 2.5 t,. kg, 00 g,. kg,.2 t A truk weighing 2.5 t is arrying a load of 5 kg. What is the total weight of the truk and the load? Give your answer in tonnes? d Clare buys.5 kg of flour and she uses 0 g for baking. How many grams of flour are left? e Penny s at weighed 2.5 kg in Marh and by August had put on 00 g. What was her weight in kilograms in August? Copyright P Learning

9 Topi 7: Conversion of units of time QUESTION Complete the following table. a minute (min) = seonds (s) b hour (h) = minutes (min) day = hours (h) d week = days e fortnight = weeks f month = weeks h year = months i year = days j leap year = days k deade = years l entury = years m millenium = years g year = weeks QUESTION 2 State whih unit would be the best to use to measure the time: a b d e to travel from home to shool to travel from India to Australia by plane to swim a distane of 00 metres to play a hokey math to drive from Sydney to Canberra QUESTION Complete the following. a deades = years b 0 minutes = hours enturies = years d 2 years = days e minutes = seonds f 5 minutes = seonds g 7 weeks = days h 2 hours = minutes i 72 months = years j hours = days k 5 weeks = years l 0 minutes = seonds Copyright P Learning 7

10 Topi : Addition and subtration of times QUESTION a h min b h min h min 2 + d h min e h min f h 5 7 min 0 g h min h h min i h min 2 QUESTION 2 a b d Add days, hours and 2 minutes to 7 days, hours and 5 minutes. From h min take away 7 h 2 min. How many hours are there from Friday noon to 0 p.m. (the same day)? How many hours are there from.00 a.m. to p.m. the same day? QUESTION What will be the time: a 20 minutes after 0.20 a.m. b 5 minutes after 5.0 a.m. 50 minutes after 2.5 p.m. d 25 minutes after.0 a.m. e 5 minutes after.5 p.m. f 2 minutes after 5. p.m. g 0 minutes after.57 a.m. h 7 minutes after.0 a.m. i 5 minutes after.0 p.m. j hours after.0 p.m. QUESTION What is the length of time between: a 0 a.m. and.00 a.m. b.0 a.m. and 5.0 a.m. 5 p.m. and p.m. d.25 a.m. and 7.5 a.m. e a.m. and.00 a.m. f 5.0 a.m. and 0.0 a.m. Copyright P Learning

11 Topi : Cloks and times QUESTION Write in two different ways the time shown by the loks below. Write your answers in words. a 2 b d e f :0 :55 7:20 QUESTION 2 Change the following to digital times. a half past four b o lok a quarter past ten d midnight e midday f twenty past ten QUESTION Write the following times using a.m. or p.m. a 7 in the morning b 0.20 at night.0 in the afternoon d hours after a.m. e.0 in the morning f 2 hours before noon QUESTION Convert the following 2-hour times to 2-hour times (to their a.m. or p.m. equivalents). a 0700 b d 2 e 025 f 000 QUESTION 5 Convert the following 2-hour times to 2-hour times. a a.m. b 2.5 p.m..0 p.m. d.0 a.m. e.25 a.m. f 0.20 a.m. g 7. p.m. h.0 p.m. 0 Copyright P Learning

12 Topi 0: Problem solving with length, mass and time A room is measured 0. m long and.5 m wide. Calulate the differene between the length and breadth in metres. 2 An equilateral triangle has a side of m. What is the perimeter of the shape in entimetres? I walked 5.7 km in the morning and 52 metres in the evening. How many kilometres did I walk altogether? Find the perimeter of a square whose side length is.25 m. 5 Find the perimeter of a retangular blok of land 50 m long and 70 m wide. A ship has a mass of kg. What is this in tonnes? 7 Find the mass of the load if the mass of the loaded truk is 25. tonnes and the mass of the empty truk is 2. tonnes. A paket of salt weighs 00 g. How many of these pakets would weigh tonnes? There are members in a team and the average mass is 55 kg. What is the total mass? 0 Find the mass of the ontainer of a produt if the produt s gross mass is 2.75 kg and the net mass is 225 g. If the pulse beats 75 times a minute, how many beats would there be in 0 minutes? 2 If there are 2 hours in a day, how many hours are there in two weeks? Copyright P Learning 0

13 Unit Test PART A Instrutions This part onsists of 2 multiple-hoie questions Eah question is worth mark Fill in only ONE CIRCLE for eah question Calulators are NOT allowed Time allowed: 5 minutes Total marks = 2 Marks The ost of tiling a floor m by m at $20 per square metre is A 2 How many m lengths an be made from a piee 2 m-long? A B 5 C 7 D A $50 B $50 C $50 D $527 The perimeter of a retangle 0 m long and m wide is m B 0 m C m D 5 m The height of a door would be losest to A 2 m B 0 m C 0. m D 0 m 5 The ost of kg of beans at $2. per kg is A $.7 B $0. C $. D $2. 5 kg an be written as 2 A kg B 5250 g C kg D 525 g 7 To measure the mass of a lamb the most suitable unit to use would be A metre B gram C tonne D kilogram The number of grams in.25 kg is A 25 B 2.5 C 200 D 250 The angle between the hands of a lok at o lok is A 0 B 0 C 0 D 0 0 A hour test starts at.5 a.m. It should finish at 2 A 0.05 a.m. B.5 a.m. C.0 a.m. D.05 a.m. A tap drips every seonds. How many times will it drip in 2 minutes? 2 A 0 B 0 C 70 D 0 2 A plane due at p.m. arrived 2 minutes early. When did it arrive? A 2.2 p.m. B 2.2 p.m. C 2.5 p.m. D 2.0 p.m. Total marks ahieved for PART A 2 Copyright P Learning

14 Unit Test Instrutions This part onsists of 5 questions Eah question is worth mark Write answers in the answers-only olumn PART B Time allowed: 20 minutes Total marks = 5 Questions Answers only Marks Find the perimeter of a square whose side length is 7 metres. 2 Find the perimeter of a retangle whose length is 20 m and width 2 m. Find the perimeter of a retangular blok of land 50 m long and 0 m wide. How many metres in km? 2 5 What fration of metres is 25 m? A paket of sugar weighs 00 g. How many of these pakets would weigh half a tonne? 7 Convert 000 kg to tonnes. A arton has a mass of 2 kg. If it ontains 0 ans of beans, what is the mass of eah an (ignoring the weight of the arton)? The weight of a dog is 5 kg and he then puts on 0 g in 2 months. What is his weight now? 0 A ruise ship has a mass of kg. What is this in tonnes? How many minutes are there from 2.00 a.m. to 5.00 a.m? 2 Express 5 days in hours. If there are 2 hours in a day, how many hours in a year? Change 0 seonds into minutes and seonds. 5 Add 5 days, 7 hours and 5 minutes to days, hours and 25 minutes. Copyright P Learning Total marks ahieved for PART B 5 2

Linear and Non-linear Relationships

Maths Revision Yr 9 Part.qd:77_pp99_9.qd //8 6:4 PM Page 6 Answers Page a 4 5 = + Linear and Non-linear Relationships = = + a = Student Book - Series J- = = a = = + 4 = = + = Their point of intersetion