WordPress.com · III. Write down the coordinates of the point of intersection of two graphs. Q no...

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Exam Style Questions

Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed

Guidance

1. Read each question carefully before you begin answering it.2. Donʼt spend too long on one question.3. Attempt every question.4. Check your answers seem right.5. Always show your workings

Revision for this topic

© CORBETTMATHS 2014

1.! Estimate 2.9 x 401

....................(2)

2.! Work out an estimate for the value of 7.1 x 97

....................(2)

3. Estimate the value of

....................(2)

4.! Stuart buys 72 packets of crisps at 19p each.! Estimate the total cost.

£....................(2)


5.! Work out an estimate for

....................(3)

6.! Estimate the total cost of 31 televisions at £196.50 each and 19 DVD players! at £50.99 each.

! Show clearly how you obtained your answer.

....................(3)

7.! Estimate

! Show clearly how you obtained your answer.

....................(3)


8.! Estimate the value of! 9.03 + 19.87 x 3.11 − 4.97!! You must show your working.

....................(3)


....................(3)

10.! Estimate the value of

....................(3)



....................(3)

12.! Estimate the answer to

....................(3)

13.! In a theatre there are 29 rows and in each row there are 32 seats.! Each ticket costs £19.75

! Work out an estimate for the total income from ticket sales.

£....................(3)


14.! Estimate how many books costing $7.05 can be bought for $424

....................(2)


....................(3)

16.! Use approximations to estimate the value of

....................(3)



....................(3)


....................(3)


....................(3)


20.! Write down an estimate for √20

....................(1)


....................(1)


....................(1)

23.! Write down an estimate for ∛30

....................(1)


24.! Estimate

....................(3)


!! You must show your working.

....................(3)

26.! Estimate the value of

....................(3)


The City School Past Paper Questions

(Graphs of Linear Equations) MATHEMATICS

Class 8 Fill in the blanks. 01. The solution of simultaneous linear equations lies at the point of __________ of their graph. 02. The graph y = – 5 is parallel to __________. 03. The line 2y = 2x + 4 cuts the y-axis at __________.

04. The gradient of the line y = -43

x + 5 is __________.

05. Write the equation representing a straight line parallel to the y – axis. __________. 06. The graph y = – 2 is parallel to __________. 07. Gradient of the line 3y = 4x – 2 is __________.

Encircle the correct option. 01. The y-intercept of the line y = 2x + 5 is __________. A) 5 B) 2 C) – 5

02. The graph of the equation y = mx + c A) passes through the origin B) is parallel to the x – axis C) cuts the y – axis at the point (0 , c)

03. Identify the point which lies on the line y = 6 A) (6, 2) B) (2, 6) C) (– 2, 0)

04. The gradient of the line 3x – 3y = 21 is A) 7 B) 1 C) 3

05. The equation of the line on which these points lie (5, -1), (5, 0), (5, 1) A) x = 5 B) y = 5 C) x = 1

Questions Q no 01) Solve the simultaneous linear equations graphically.

x + y = 6; x – y = – 4 x + y = 6 x – y = -4

X -1 1 2 3 X -1 1 2 3 Y Y

Q no 02) Solve the following simultaneous equations using the graphical method 5x – 4y = 40; x + 4y = -16

I. On the axes, draw the graph of 4y – x = 6 II. Complete the table below:

X -2 0 2 6 Y

III. Use your graph to find the value of x when y = 2.5

Q no 03) Draw the graphs of the equations on the same set of axes. I. Copy and complete the following table

3x – y = 5; x + y = -1 3x – y = 5 x + y = -1

X -1 1 3 -3 X -1 0 1 3 Y Y

II. Draw the graphs of the equations 3x – y = 5 and x + y = 1 III. Write down the coordinates of the point of intersection of two graphs.

Q no 04) I. On the axes, draw the graph of y = 2x – 1 II. Complete the table below:

X -1 0 2 3 Y

III. Use your graph to find the value of x when y = 7

Q no 05) Draw the graphs of the equations on the same set of axes. I. Copy and complete the following table

2x + y = 8; 5x - y = 6 2x + y = 8 5x – y = 6

X X Y Y

II. Draw the graphs of the equations 2x + y = 8 and 5x - y = 6 III. Write down the coordinates of the point of intersection of two graphs.

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!NegativeIndices

Video175onwww.corbettmaths.com

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Question1: Evaluateeachofthefollowing

(a) (b) (c) (d) (e) (f)

(g) (h) (i) (j) (k) (l)

(m) (n) (o) (p) (q) (r)

Question2: Writeeachofthefollowinginindexform.

(a) (b) (c) (d) (e) (f)Question3: Writeeachofthefollowingintheform

(a) (b) (c) (d) (e) (f)

Question4: Writeeachofthefollowingintheform

(a) (b) (c) (d) (e) (f)

Question5: Writeeachofthefollowingasfractions

(a) (b) (c) (d) (e) (f)

Question6: Writeeachofthefollowinginindexform

(a) (b) (c) (d) (e) (f)


(a) (b) (c) (d) (e) (f)

Examples

Workout


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http://www.corbettmaths.com

https://corbettmaths.com/2013/03/24/negative-indices/


https://corbettmaths.com/2013/03/24/negative-indices/

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!NegativeIndices


Question8: Writeeachofthefollowinginindexform

(a) (b) (c) (d) (e) (f)


(a) (b) (c) (d) (e) (f)


(a) (b) (c) (d) (e) (f)

� Question1: Arrangeinorderfromsmallesttolargest.

Question2: Workout

(a) (b) (c)

Question3: Sallyhascompletedherhomework. Canyouspotanymistakes?

Question4: Giventhat

Workout

Apply




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!NegativeIndices


Question5:

Puttheexpressionsaboveinorder,fromsmallesttolargest,when:

(a)x=2 (b)x=1 (c)x=0.5 (d)x=−0.5

(e)x=−1 (f)x=−2

�Answers


Clickhere

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https://corbettmaths.com/2016/09/11/negative-indices-answers/

https://corbettmaths.com/2016/09/11/negative-indices-answers/

Name:

Exam Style Questions

Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed

Guidance

1. Read each question carefully before you begin answering it.2. Donʼt spend too long on one question.3. Attempt every question.4. Check your answers seem right.5. Always show your workings

Revision for this topic

1. The names of five quadrilaterals are given.

square" rhombus" rectangle" kite" trapezium"

Three of them are drawn below.

Complete these statements.

Shape A is called a .............................................

Shape B is called a ............................................. Shape C is called a .............................................

(3)

2. " A quadrilateral is drawn below.

" (a) Write down the name of this quadrilateral.

.........................(1)

" (b) Draw any lines of symmetry on the quadrilateral.

(1)

3." A quadrilateral is drawn below." It has two pairs of parallel sides.

" (a) Write down the name of this quadrilateral.

...................................(1)

! (b) How many lines of symmetry does the shape have?

...................................(1)

" (c) Draw a quadrilateral with two lines of symmetry

(1)

4." There are two quadrilaterals below

" (a) Write down the names of each quadrilateral.

" .............................."" " " ..............................

(2)

! (b) Draw a rhombus below.

(1)

5." Below is a rectangle.

Tick the correct boxes for the four statements.

(4)

6." Here is a list of quadrilaterals.

" kite rectangle rhombus square parallelogram

" For each of the following descriptions, choose the correct name from the list.""" (a)" All four sides are the same length." " All four angles are equal.

..............................(1)

" (b) " Two pairs parallel sides." " Opposite angles are equal." " No lines of symmetry.

..............................(1)

" (c) " All four sides are the same length." " There are no right angles." "

..............................(1)

7." The names of three quadrilaterals are below.

" square" kite" parallelogram

" Write each name in the correct position in the table below."

(3)

8." Complete the table below.

(4)

The City School Past Paper Questions

Shapes and Polygons MATHEMATICS

Class 8 Encircle the correct option.

01. The scale for a drawing is 0.5 cm to 4 m. if a pole in the drawing measures 2.5cm, the length of an actual poles is

A) 40m B) 20m C) 10 m D) 80 m

02. On a map, a distance of 40 km is represented by a 2cm line. What is the scale of the map?

A) 1 : 2000 000 B) 1 : 200 000 C) 1 : 20 000 D) 1 : 2000

03. Two objects are congruent if they have exactly

A) same shape B) same size C) same shape and size D) different shape and size

Questions

Q no 01) Calculate the actual length in meters represented by each of these lengths on a scale drawing. The scale of each

diagram is given in brackets.

I. 10 cm (1 : 50) II. 70 cm (2 : 75)

Q no 02) Calculate the length in centimeters that represents each of these lengths on a scale drawing. The scale of each diagram

is given in brackets.

I. 4 cm (1 : 5000) II. 380 cm ((1 : 25)

Q no 03) From the information given, determine if a pair of triangle is congruent. Give reasons for your answer.

Q no 04) The two maps of Singapore shown below are similar. Find the unknown side x.

Q no 05) A ship sails 20 km due East from port P. The captain then alters the course of the ship to avoid a busy shipping lane and

sails 22 km due south. The ship then turns due East again and sails for 36 km to reach a point Q.

I. Make a scale drawing using a scale of 1cm to 5 km

II. Join P and Q and measure the length of the line in cm.

III. How far is the ship from the port?

Q no 06) Find x and y in the following pair of congruent triangles.

Q no 07) A map has a scale 1cm to 5m

I. What is the actual length which is 3.5 cm on the map?

II. What length will represent 250 m on the map?

Q no 08) Trapezium ABCD is similar to trapezium PQRS. Find the value of x and y.

Q no 09) A map is drawn to a scale of 1 : 250 000

I. Calculate the distance between two towns on the map if the actual distance is 125 km.

II. A road on the map has a length of 6cm. Find its actual length on the ground.

III. An estate is represented by an area of 8 cm2 on the map. Calculate the actual area of the estate in km

2.

Q no 10) ΔOAB is similar to ΔOPQ

I. Explain clearly why AB is parallel to QP

II. If OA = 5cm, OB = 6cm, OQ = 8cm, QP = 5.5cm, OP = x cm and AB = y cm, find the values of x and y.

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!Speed,Distance,TimeVideos299onCorbettmaths

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Question1: Convertthetimesfromhours/minutesintohours,withoutacalculator. e.g.1 45minutes=0.75hourse.g.2 1hour30minutes=1.5hours

(a)15minutes (b)30minutes (c)45minutes (d) 20minutes (e)40minutes (f)2hours30minutes(g) 1hour15minutes (h)3hours45minutes (i)2hours40minutes(j) 5hours30minutes (k)7hours20minutes (l)4hours15minutes

Question2: Convertthetimesfromhours/minutesintohours. Youmayuseacalculatorifneeded.

(a)18minutes (b)54minutes (c)1hour3minutes(d) 1hour36minutes (e)2hours48minutes (f)2hours33minutes(g) 8hours51minutes (h)3hours21minutes (i)27minutes

Question3: Convertthetimesfromhours/minutesintohours. Giveeachanswerto3decimalplaces.

(a)44minutes (b)8minutes (c)1hour50minutes(d) 2hours10minutes (e)4hours26minutes (f)3hours29minutes(g) 5hours2minutes (h)2hours55minutes (i)59minutes

Question4: Convertthetimesfromhoursintohours/minutes,withoutacalculator.

(a)0.75hours (b)1.25hours (c)5.5hours(d) 1.3333...hours (e)2.6666...hours (f)10.75hours(g) 3.25hours (h)0.5hours (i)22.3333...hours

Question5: Convertthetimesfromhoursintohours/minutes. Youmayuseacalculatorifneeded.

(a)0.7hours (b)0.1hours (c)0.9hours(d) 1.3hours (e)3.6hours (f)6.7hours(g) 0.85hours (h)1.15hours (i)3.45hours

Question6: Convertthetimesfromhoursintohours/minutes. (a) 0.93333...hours (b)0.48333...hours (c)1.06666...hours(d) 2.73333...hours (e)3.68333...hours (f)2.18333...hours(g)8.01666...hours (h)4.46666...hours (i)1.76666...hours

Examples

Warmup


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https://corbettmaths.com/2016/01/01/speed-distance-time/

https://corbettmaths.com/2016/01/01/speed-distance-time/

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Question1: Calculatetheaveragespeedsforeachofthefollowing,withoutusinga calculator.

(a) Acartravels60milesin2hours (b)Alorrytravels120milesin3hours(c) Acyclisttravels45milesin5hours (d)Ajoggertravels30kmin4hours(e) Arunnerruns100metresin10seconds (f)Acartravels195milesin3hours(g) Ahelicoptertravels425milesin5hours (h)AhelicopterWlies840milesin7hours(i) Adogruns216metresin12seconds (j)Anairplanetravels984milesin6hours(k) AbirdWlies19milesin2hours (l)Acartravels600kmin8hours

Question2: Calculatetheaveragespeedsforeachofthefollowing,withoutusinga calculator.

(a) Acartravels20milesin30minutes (b)Alorrytravels32milesin30minutes(c) AbirdWlies17kilometresin30minutes (d)Amanjogs2kilometresin15minutes.(e)AhelicopterWlies18milesin15minutes (f)AnF1cartravels32milesin15minutes.(g) Adogruns3kilometresin10minutes (h)Ajettravels23milesin6minutes.(i)Acartravels12milesin20minutes (j)Acartravels9milesin12minutes(k) Amotorcycletravels36milesin40minutes (l)Acartravels27kilometresin45minutes.

Question3: Calculatetheaveragespeedsforeachofthefollowing.

(a) Acartravels63milesin1hour30minutes(b) Amanruns15milesin2hours30minutes(c) AhelicopterWlies238milesin3hours30minutes(d) Acartravels85.5miles2hours15minutes(e) AnairplaneWlies315kilometresin1hour45minutes(f) Alorrytravels351milesin6hours45minutes(g) Acardrives154milesin2hours20minutes(h) AhelicopterWlies160kilometresin1hour40minutes

Question4: Calculatetheaveragespeedsforeachofthefollowing.

(a) Amanjogs6milesin1hour12minutes(b) Amotorcycledrives130milesin2hours36minutes(c) AhelicopterWlies152milesin1hour54minutes(d) Aplanetravels1272kilometresin5hours18minutes(e) Acartravels98milesin2hours27minutes(f) Arockettravels750milesin3minutes(g) Acartravels6.4milesin7minutes.Giveyouranswerto2decimalplaces.(h) Ashipsails105milesin4hours28minutes.Giveyouranswerto2decimalplaces.(i) Aplanetravels400milesin1hour55minutes.Giveyouranswerto2decimalplaces.(j) Acardrives500kilometresin7hours13minutes.Giveyouranswerto2decimalplaces.

Workout


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Question5: Calculatehowfareachofthefollowingtravels.

(a) Acartravelsataspeedof50mphfor3hours.(b) AplaneWliesataspeedof230kilometresperhourfor2hours.(c) Alorrydrivesfor4hoursataspeedof45milesperhour.(d) Amanrunsataspeedof8metrespersecondfor15seconds.(e) AhelicopterWliesfor8hoursataspeedof80milesperhour.(f) Adogrunsataspeedof15m/sfor20seconds.(g) Acartravelsataspeedof48mphfor3hours.(h) Atrucktravelsataspeedof29mphfor5hours.

Question6: Calculatethedistancetravelledbyeachofthefollowing.

(a) Acardrivesataspeedof60mphfor30minutes.(b) Ataxitravelsfor30minutesataspeedof28mph.(c) Acartravelsataspeedof44mphfor15minutes.(d) Alorrydrivesataspeedof51mphfor20minutes.(e) Anairplanetravelsataspeedof441mphfor20minutes.(f) Acardrivesataspeedof48mphfor45minutes.(g) AhelicopterWliesataspeedof72milesperhourfor10minutes(h) AbirdWliesfor40minutesataspeedof60kilometresperhour.

Question7: Workoutthedistancetravelledbyeachofthefollowing.

(a)Acardrivesataspeedof40mphfor1hour30minutes(b) AbirdWliesataspeedof32kilometresperhourfor1hour30minutes(c)Alorrytravelsfor2hours30minutesataspeedof52mph(d)AF1racecardrivesfor1hour15minutesataspeedof124mph(e)AhelicopterWliesataspeedof104mphfor1hour45minutes(f)Acardrivesataspeedof58mphfor3hours15minutes(g)Amanrunsat6mphfor1hour24minutes(h)Acardrivesfor2hours54minutesataspeedof50mph(i)AplaneWliesataspeedof306kilometresperhourfor3hours20minutes(j)AhotairballoonWliesataspeedof18mphfor1hour40minutes(k)AbirdWliesfor4hours36minutesataspeedof40kilometresperhour.(l)Ahelicoptertravelsat98mphfor5hours6minutes.(m)Acartravelsat40mphfor1hour7minutes.Giveyouranswerto2decimalplaces.(n)Alorrydrivesat65mphfor2hours19minutes.Giveyouranswerto2decimalplaces.(o)Acardrivesat70mphfor44minutes.Giveyouranswerto2decimalplaces.(p)Acardrivesat32mphfor1minute.Giveyouranswerto2decimalplaces.

Question8:Workoutthedistancetravelledbyeachofthefollowing.

(a)Arunnerrunsataspeedof8m/sfor2minutes(b) Ajogrunsataspeedof4m/sfor10minutes.(c) Acardrivesat60mphfor90seconds.(d) Alorrydrivesat30mphfor150seconds.


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Question9: Workouthowlongeachofthejourneystake.

(a) Acardrives120milesataspeedof40mph.(b) Alorrydrives250milesataspeedof50mph.(c) AbirdWlies330kilometresataspeedof55kilometresperhour.(d) Anobjecttravels48milesatspeedof16mph.(e) Amanruns240metresataspeedof6m/s(f) Adogruns168metresataspeedof12m/s(g) Alorrytravels240milesataspeedof60mph.(h) Ahelicoptertravels345milesataspeedof115mph.(i) Aplanetravelsataspeedof250mphandcoversadistanceof2250miles.

Question10: Calculatehowlongeachjourneylasts. Giveeachanswerinhoursandminutes.

(a) Acartravels100milesataspeedof40mph.(b) Alorrytravels90milesataspeedof60mph.(c) Abusdrivesataspeedof48mphandcoversadistanceof60miles.(d) AhelicopterWlies105kilometresataspeedof140km/h(e) Abirdcoversadistanceof95milesataspeedof20milesperhour.(f) Acartravelsat50mphandcoversadistanceof110miles.(g) Alorrydrivesadistanceof452.4kilometresataspeedof52km/h.(h) AbirdWlies80milesataspeedof15milesperhour(i) Ashipsails208milesaspeedof24milesperhour(j) AjetWliesataspeedof480km/handcoversadistanceof2088kilometres(k) Aracingcardrives256milesataspeedof120mph(l) AhelicopterWlies764kilometresataspeedof80km/h

Question11: Changethefollowingspeedsintometrespersecond.

(a) 360km/h (b)18km/h (c)36km/h (d)72km/h(e) 10km/h (f)40km/h (g)2km/h (h)4.5km/h

Question12: Changethefollowingspeedsintokilometresperhour.

(a) 45m/s (b)15m/s (c)20m/s (d)4m/s(e)1m/s (f)0.5m/s (g)0.2m/s (h)300m/s

Question13:Changethesespeedintokilometresperhour

(a) 10mph (b)40mph (c)25mph (d)200mph(e) 8mph (f)2mph (g)10.5mph (h)24.6mph

Question14:Changethesespeedintomilesperhour

(a) 32km/h (b)48km/h (c)24km/h (d)800km/h(e) 16km/h (f)0.64km/h (g)16000km/h (h)2400000km/h


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1. Abustravels222milesin6hours. Whatwastheaveragespeedofthebus?

2. Thomasdrives130milesatanaveragespeedof40mph. HowlongdoesthejourneytakeThomas?

3. AjumbojetWliesat484mphfor4hours30minutes. Howfardoesthejettravel?

4. GregandKevinbothtravelbetweentwotownsthatare90milesapart. Gregdrivesandittakeshim1hour30minutes. Kevincyclesandittakeshim7hours30minutes. Workoutthedifferencebetweentheiraveragespeeds?

5. HarrycatchesthetrainfromBelfasttoDublinat4pm. Theaveragespeedofthetrainis70mphandthedistancefromBelfasttoDublinis 105miles. WhattimedoesHarryarriveinDublin?

6. ThedistancefromSunderlandtoWiganis150miles. MollieleavesSunderlandinhercarat07:50. Heraveragespeedonthejourneyis60mph. WhattimedoesshearriveinWigan?

7. JennydrivesfromParistoRochefort,adistanceof483km Heraveragespeedonthejourneyis84km/h. Sheleavesat9:50pm. WhattimedoesshearriveinRochefort?

8. Philiprunsatanaveragespeedof4m/s. HowlongwillittakePhiliptocompletea10kilometrerace? Giveyouranswerinminutesandseconds.

9. Acartravelsfor4hoursatanaveragespeedof45mphandthen6hoursatanaveragespeedof35mph. (a)Workoutthetotaldistancetravelled. (b)Workouttheaveragespeedfortheentirejourney.

10. Davidcyclesat20mphfor1¼hours,thenat16mphfor2hoursandthen12mphfor 45minutes. (a)Workoutthetotaldistancetravelled. (b)Workouttheaveragespeedfortheentirejourney.

Apply


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11. MrJenkinscatchesthe11:45ambusfromLondontoGlasgow. Thedistancebetweenthetwocitiesis407miles. Thebustravelsatanaveragespeedof55mph. WhattimeshouldhearriveinGlasgow?

12. Michaeldrives143milesfromtownAtotownBin2hours36minutes. HethendrivesfromtownBtotownCatthesamespeedandittakes21minutes.

(a)WorkoutMichael’saveragespeedfromtownAtotownB. (b)HowfardidMichaeltravel,intotal,fromtownAtotownC?

13. ThedistancefromJunction19toJunction20onamotorwayis14miles. Bethanydrovethedistancein15minutes. Maxdrovethedistanceataspeedof52mph. Whowasfaster?

14. ThedistancefromSwindontoavillageis40miles. VickydrivesfromthevillagetoSwindonat60mph. CharliedrivesfromthevillagetoSwindonat50mph. WorkouthowmuchlongerthejourneytakesCharlie. Giveyouranswerinminutes.

15. MissBlackcompletesajourneyin3stages. Instage1,shedrivesataspeedof40km/hfor45minutes. Instage2,shedrivesat60km/hfor2hours9minutes. Altogether,overthe3stages,MissBlackdrives171.6kmin3hours15minutes Whatisheraveragespeed,inkm/h,instage3?

16. Thespeedlimitonaroadis40mph. Ascooterdrives9milesin13minutes. Isthescooterbreakingthespeedlimit?

� Answers


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https://corbettmaths.com/2018/09/25/speed-answers/

https://corbettmaths.com/2018/09/25/speed-answers/

Name: _____________________________

Surface Area – Prisms and Cylinders

Rectangular Prism

Colour in the face shape.

Front & Back: Area = ____ x ____ = _____ cm2

Base & Top: Area = ____ x ____ = _____ cm2

Left & Right: Area = ____ x ____ = _____ cm2

Surface Area

= 2 x ( _____ + _______ + ______)

= _____________ cm2

Triangular Prism


Front & Back: Area = 0. 5 x ____ x ____ = _____

(Triangle) 2 x _________

= _____________ m2

Base: Area = ____ x ____ = _________ m2

Sides: Area = ____ x ____ = _________

2 x __________

= _____________ m2

Surface Area

= ( _____ + _______ + ______)

= _____________ cm2

Cylinder


Hint: SA = 2πr2 + πr2h Top and Bottom: Area = π x r x r

= 3.14 x ______ x ______

= __________ m2

Rectangle: Area = 2 x π x r x h = 2 x 3.14 x ____ x ____

= _________ m2

Surface Area

= (2 x __________) + __________

= _____________ cm2

Try on your own – Prisms and Cylinders

Rectangular Prism


Front & Back:

Base & Top:

Left & Right:

Surface Area

=

=

Triangular Prism


Front & Back:

Base:

Sides:

Surface Area

=

=

Cylinder


Hint: SA = 2πr2 + πr2h

Top and Bottom:

Rectangle:

Surface Area

=

=

The City School Past Paper Questions – CIE

Time MATHEMATICS

Class 7

Questions

01. A journey started at 07 44 and finished at 11 32. How long, in hours & minutes, did the journey take? (Nov 13 Paper 12 Q4a)

02. A boat sails around a course represented by triangle ABC. It started at 13 38 and finished at 14 21. How many minutes did it

take? (Nov 13 paper 11 Q10c)

03. The ship left P at 21 40 and returned to P at 05 33 the following day. Find the length of time, in hours and minutes, between

leaving P and returning to P (Nov 12 Paper 12 Q8b)

04. Pierre goes on a holiday from France to the UK. (a) His journey takes 4 hours and 43 minutes. It ends at 02 13 on Saturday.

At what time on Friday does his journey start? (Nov 12 Paper 11 Q5a)

05. Gill swims for 114 hours and ends her swim at 11 05. At what time did she begin her swim? (Jun 12 Paper 11 Q13bi)

06. Fariza travels from London to Astana. The time in Astana is 5 hours ahead of the time in London, so when it is 1000 in

London the local time in Astana is 1500. She flies from London to Moscow and then from Moscow to Astana. The flight leaves

London at 1225 and takes 4 hours to reach Moscow. Fariza waits 412 hours in Moscow for the flight to Astana. She arrives in

Astana at 05 25 local time. How long did the flight from Moscow to Astana take? (Jun 15 paper 12 Q 05)

Past Paper Questions – City School Questions 01. A train took 4 hours to travel from Town A to Town C,

making a stop at Town B along the way. The graph shows the

position of the train at any given time during the journey from A

to C. (EOY Paper 2013-2014 Q8c)

I. How far is town B from town A?

___________________

II. How long did it take the train to reach town B?

___________________

III. For how long did the train stop at town B?

___________________

IV. Where was the train after it had been travelling for 1 hour?

___________________

Workbook Questions – NSM 01 Q no 64) Express 40 minutes after 5:55 pm using the 24 hour clock notation.

Q no 65) A train leaves town A at 22 17 and arrives in town B at 07 17 the next day. How long does the whole journey take?

Q no 66) A bus leaves town X at 21 30 and arrives in town Y at 08 00 the next day. Calculate:

I. The time taken for the journey.

II. The average speed of the bus given that the distance from town X to town Y is 651 km.

Q no 67) Peter was supposed to meet Paul one evening at 19 50. Paul arrived at the exact time but Peter arrived a quarter to

ten. Who arrived first? For how long did one wait for the other?

Q no 68) A car is parked in a car park from 07 45 to 16 30 on the same day. Find:

I. the total time for which the car is parked.

The parking fee if the rate of charges is $2.50 for the first hour and 89 cents for each half hour or part of a half hour thereof.

Q no 69) It takes a cyclist 44 minutes to cycle a distance of 11 km.

(a) How long will it take him to cycle a distance of

(i) 45 km (ii) 36 km (iii) 20 km

(b) What is the speed of the cyclist in km/h?

Q no 70) Mr Chai leaves his house at 98 37 and travels by motor cycle to a railway station which is 27 km away. If he arrives at

the station 36 minutes later, find the average speed at which he travels in km/h. How long does he have to wait if the train, due

at 09 42, is 11 minutes late?

Q no 71) A family travelled from Singapore to Penang. Shown below is a copy of their time table.

From To Time Required

Singapore Johor Baru 40 min

30 min (Breakfast)

Johor Baru Kuala Lampur 5 h

35 min

55 min (Lunch)

Kuala Lampur Ipoh 3h 12 min

Ipoh Penang 1 h 58 min

Given that they left Singapore at 05 30, when did they arrive in Penang?

Q no 85) A train left town A at 08 45 and arrived in town B at 15 10.

(a) How long did the journey take?

(b) Find the distance between town A and town B given that the speed of the train was 108 km/h

Q no 86) A motorist starts traveling at 23 17 on a 172 km journey. At what time will he arrive at his destination given that he

travels at an average speed of 48 km/h.

Q no 87) If light can travel 31 times around the world in 4 seconds, how many times can it circle the world in 10 seconds?

Q no 89) A motorist starts to travel on a 272 km journey at 11 13. At what time will he reach the destination given that he

travels at an average speed of 24 km/h. He leaves at 17 55 for the return journey and arrives at the starting point at 23 35.

Calculate the time taken and the average speed for the return journey.

Worksheet on Reflectional and Rotational Symmetry

1) Draw on all lines of symmetry.

2) Add

one

small square so that the shape has

reflectional symmetry. Draw in the line of symmetry.

3) Add one small

square so that the

shape has rotational

symmetry.

4) Add one small

square so that the

shape still has reflectional symmetry.

Draw in all lines of symmetry.

5)

Add

two

smal

l squares so that the shape has either reflectional or rotational

symmetry. State the type of symmetry and draw in the lines of

symmetry when it is reflectional symmetry

Que

stio

ns

- D

escribe the process you use when selecting a square(s) to make reflectional symmetry.

- Describe the process you use when selecting a square(s) to make rotational symmetry.

- Have you found all possible solutions for all questions? How can you be sure?

Note: Some questions will need extra grids to allow for all possible solutions!

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