Good Luck!

2y ago
108 Views
2 Downloads
1.30 MB
50 Pages
Last View : 7d ago
Last Download : 2m ago
Upload by : Grant Gall
Transcription

The idea of 30-4-10 is for you to spend 30mins each day for 10 daysrevising mathematics. The starter questions should last about10mins and the topic questions 20mins. The ‘Hints and Tips’ arethere to help you with each section – you could also use your mathsrevision guide, text book or your exercise book.Your parents/carers have been given answers to 30-4-10 so that youcan mark your work at home. Remember to make a list of thequestions that you are still finding difficult to ask your maths teacherabout.Good Luck!

DAY 11.Simplify 2x 3y 5x – 2y - 4x5. Solve the equation x 84 . Answer . .Answer .2.Multiply out 4(m – 1) .Answer .3.Tara buys x rulers at 25 penceeach and y biros at 70 penceeach.Write down an expression forthe total cost of the rulers andbiros. .Answer . pence4.Factorisex2 5x Answer .6. Write down the value of thefollowing:(a)13² .(b)³ 8 .(c)25 .(d)(- 4)² .(e) 64 .(f)³ 64 .

Hints and TipsBearingsRead the question carefully before you start.You need a Pencil, Ruler and Protractor for this topic. Measure lines to 1mm. Measure angles to 2ο Remember that Bearings are always measured from North.NNBearing 2250Bearing 0450 Always measure clockwise. Always use three figures e.g. 0350 or 1560 Remember that your North line should be drawn at the point where thebearing is taken from e.g. Find the bearing of A from B – draw theNorth line at B

X1.The diagram shows the positions of A and B.The diagram is drawn to scale.1 cm represents 10 km.NNNBScale1 cm represents 10 km60 A(a)Use the diagram to calculate the actual distance of B from A.Answer . km (2)(b) C is due south of B.(i)Write down the three figure bearing of C from B.Answer . (1)(ii)C is also on a bearing of 150 from A.Mark the position of C on the diagram.(2)

X2.(a)A, B and C are three towns which form an equilateral triangle as shown.ANCBUse the given bearings to complete the sentences.060 120 180 240 300 (i)C is on a bearing of .from A.(1)(ii) B is on a bearing of .from C.(b)(1)D, E and F are three towns.E and F are shown on the diagram.D is on a bearing of 070 from E.D is also on a bearing of 320 from F.Complete the diagram to show accurately the position of D.NNEF(2)

X3.The diagram shows the position of two towns A and B.Scale: 1 cm represents 5 kmNBNA(a)Measure the length of AB in centimetres.Answer .cm (1)(b)Use the scale to work out the actual distance between the towns A and B.Give your answer in kilometres.Answer .km (2)(c)Measure and write down the three-figure bearing of B from A.Answer . (1)(d) C is due east of A and due south of B.Mark the position of C on the diagram.(2)(Total 15 marks)

DAY 21. Multiply out5.4p(p 3) 92027326581 125 Answer . .Find the value of 3x 4yAnswer .when x 2 and y 5 .Answer .3.The diagram shows a trapezium.137 115 Not drawn accuratelyxCalculate the value of x.Answer .degrees4.Solve the equation2x 5 3 .Answer x .51Write down the cube numbers .2.From the list of numbers

Hints and TipsArea and PerimeterRead the question carefully before you start.Remember these diagrams are Not drawn to Scale. Learn the main Area formulae: Rectangle lxw Parallelogram b x ht Triangle ½ x b x ht Area of a Trapezium is on the formulae sheetaArea of trapezium 1(a b)h2hb The perimeter of any shape is the distance around the outside. (add allthe sides) Sometimes you will be given an Area and be asked to find a length. So,read the question carefully. Remember UNITS!

X1.The diagram shows a triangle ABC. The base BC 10 cm.The perpendicular height AX 6 cm.Anot to scale6 cmBXC10 cmCalculate the area of the triangle.Answer.cm2 (2)2.29 cmnot to scale17 cm7 cm8 cm7 cm8 cmCalculate the area of the shape.Answer.cm2(3)

3.A rectangle has length 7.1 cm and width 3.6 cm.7.1 cmNot to scale3.6 cm(a)Calculate the area of the rectangle.Give your answer to 1 decimal place.Answer . cm2 (3)(b) The diagram shows a parallelogram.7.1 cmNot to scale3.6 cmExplain why the area of the parallelogram is equal to the area of therectangle. (2)(c)This diagram shows a different parallelogram of length 11.5 cm, height 4.9cm and slant height 5.3 cm.11.5 cm4.9 cm5.3 cmNot to scale

Calculate the area of this parallelogram.Answer . cm2 (2)4. In the diagram below, PQ 10.8 cm, QR 11.6 cm, RS 17.5 cm and PS 9.5cm.The angles at P and S are 90 P10.8 cmQNot to scale11.6 cm9.5 cmS17.5 cmRCalculate the area of PQRS. . . .Answer . cm2 (2)(Total 14 marks)

DAY 31.Find the value of 3x 4y(a)Πx²yAnswer .(b)x y zAnswer .(c)x² y²Answer .when x 6 and y –3.Answer .2.The lines AB and CD areparallel.BNot drawn accurately98 D125 xA4. Here are 4 expressionsCWork out the value of x.Give a reason for your answer.Answer .degreesReason.3. In this question, the lettersx, y and z represent lengths.State whether each expressioncould represent a length, anarea or a volume.n 3n 3n²(a) If n 3 which expressionhas the greatest value, showyour working.Answer .(b) If n 0.3 which expressionhas the greatest value? Showyour working.Answer .3 n

Hints and TipsCirclesRead the question carefully before you start.You may be asked to find the Circumference or Area of a circle. Circumference is just the perimeter of a circle The radius is the distance from the centre of a circle to any point onthe circumference The diameter goes from one point on the circumference to the oppositeside of the circle, through the centre The diameter is double the radius Don’t be put off by π – it’s just a number, 3.14. Make sure you know where the π button is on your calculator Area of a circleA πr2(remember to square the radius first then multiply by π ) Circumference of a circleC 2πr or C πd Don’t forget the units Note: the perimeter of a semi-circle has three sidesDiameterCentre.CircumferenceRadiusYou may find formula triangles useful:AΠCr²Πd

1.The diameter of a circle is 15 cm.Calculate the circumference of the circle.15 cmNot drawn accurately.Answer . cm (2)X2.Jasmin has a pond in her garden.The surface of the pond is a circle of diameter 6 metres.6mCalculate the area of a circle of diameter 6 metres.Give your answer in terms of π.Answer .m2 (2)

3.A circular flowerbed has a radius of 1.7 m.Not drawn accurately1.7 mCalculate the area of the flowerbed.State the units of your answer.Answer . (3)4.A semi-circular protractor has a diameter of 9 cm.9 cmNot drawn accuratelyCalculate the perimeter.Answer . cm (3)

X5.The diagram shows a circle of radius 6 cm.Not drawn accurately6 cm(a)Work out the area of the circle.Give your answer in terms of π.Answer . (3)(b) A badge is made out of 2 semicircles and a square, as shown.The radius of the semicircle is 6 cm.The square has side 5 cm.6 cmNot to scale(i)5 cmhWrite down the area of the badge.Give your answer in terms of π.Answer . (1)(Total 14 marks)

DAY 41.Find the value of a3 b2when a 2 and b 5.Answer .2.The students in class 10Wmeasure their hand spans.(a)Juan’s hand span is x cm.George’s hand span is 1 cmlonger.Write down an expressionfor George’s hand span, interms of x.Answer . cm(b) Vicky’s hand span is y cm.Emma’s hand span is 2 cmshorter.Write down an expressionfor Emma’s hand span, interms of y.Answer . cm3.Expand3(y – 4).Answer .4.A model of a new housingestate is built to a scale of1 : 500A house is 15 metres high. Work outthe height of the model. Give youranswer in centimetres.Answer .5. Work out the value of 23 x 3².Answer .

Hints and TipsConstructionRead the question carefully before you start.You need a pencil, ruler and a protractor to complete this work. Remember the following:o no arcs no markso you must draw angles as accurately as possible ( 2ο)o you must draw lines as accurately as possible ( 1mm) ‘Bisect’ means ‘cut in half’ Sometimes you are only allowed to use certain equipment (i.e. Use acompass and ruler to construct .)

X1. In the space below, make an accurate drawing of this triangle.The base line has been drawn for you.Not drawn accurately6.5 cm43º10 cm10 cm(2)X2. Using ruler and compasses only, construct the bisector of angle PQR.PQR(2)

X3.(a)Draw a circle of radius 4 cm.(1)(b)Write down the length of the diameter of the circle.Answer . cm (1)(c) On your diagram draw a tangent to the circle.(1)(d) On your diagram draw a chord of length 6 cm inside the circle.X4. In triangle PQR , the side PQ 7.5 cm.Angle P 70 and angle R 80 .Make an accurate drawing of the triangle in the space below.The line PQ has been drawn for you.PQ(3)(2)

X5. Mutasem draws a rough sketch of a triangle with sides 300 m, 400 m and500 m.400300500Using ruler and compasses only, make an accurate scale drawing of the triangle.Use a scale of 1 cm to represent 50 m.You must show clearly all your construction arcs.(3)(Total 15 marks)

4.DAY 51.(a)Simplify5p 2q – q 2p .Answer .A model of a new housingestate is built to a scale of 1 :500A road on the model is 60cm long.Work out the actual length of theroad. Give your answer in metres. .(b) Multiply out4(r – 3) .Answer .2.(a)Triangle PQR is isosceles.PQ PRAngle R 44 PAnswer .5.A triangle has angles of63º, 2x and xWork out the value of x . .Not drawn accurately .Answer .44 QRCalculate the size of angleP. .Answer .3.Factorise4x 8Answer .

Hints and TipsPythagorasRead the question carefully before you start.Pythagoras can be used to find a missing length in a right angled triangle if 2sides are known Learn Pythagoras’ Theorem: c2 a2 b2 Label your triangle a, b and c The hypotenuse which is opposite the right angle (longest side) must belabelled c If you are looking for a short side, ie not the hypotenuse you will needto rearrange the formula: c2 – a2 b2 Always check that your answer is sensible. Check that the hypotenuseis still the longest side.ccabab

1. A support for a flagpole is attached at a height of 3 m and is fixed tothe ground at a distance of 1.2 m from the base.Not to scalex3m1.2 mCalculate the length of the support (marked x on the diagram).Answer . m (3)2. ABC is a right-angled triangle.AB 15 cm and AC 17 cmA15 cmBNot drawn accurately17 cmCCalculate the length of the side BC.

Answer .cm (3)3. A rectangular field ABCD is shown.The length of the field, AB 160 m.The width of the field, BC 75 m.160 mAB75 mCDNot to scaleCalculate the length of the diagonal BD.Give your answer to a suitable degree of accuracy.XAnswer .m (4)4. (a)The diagram shows a right-angled triangle ABC.AB 10 cm and AC 15 cmC15 cmNot drawnaccuratelyBA10 cmCalculate the length of BC. Leave your answer as a square root.Answer . cm (3)(Total 13 marks)

DAY 64. Solve the equation x1. Factorise y2 2y 125 . .Answer .Answer .2. The words in this list are used todescribe angles.5.alternate corresponding exteriorinterior oppositeceNot drawn accuratelyA model of a new housingestate is built to a scale of 1 :500A house is 10 metres high. Work outthe height of the model. Give youranswer in centimetres. .dAnswer .Choose a word from thelist to describe each ofthese pairs of angles.6. If x 4 and y -3 find the valueof(i)(a)y² 5 .(b)4y x .(c)2x – y .(d) x c and d are. angles(ii) d and e are. angles3.Simplify the expression2c 6d 4c – 8c .Answer .

Hints and TipsLinear SequencesRead the question carefully before you start. Look for the common difference between the numbers This difference tells you which multiplication table the sequence isbased on e.g. Find the nth term of 2, 5, 8, 11, 14, .25811143691215 3 times table as the gap is 3difference 3difference between thesequence and times tableis -1nth term 3n – 1 To generate a sequence, just substitute n 1, n 2 etc. Alternate methodnth term difference x n 1st number – differencee.g. 2, 5, 8, 11, 14, .1st term – differencedifference 3 2–3 -1nth term 3n – 11st term 2

Hints and TipsTrial & ImprovementRead the question carefully before you start.For these questions you must remember that you will not have to calculatethe exact value of x. You are aiming to get close to it and this will bespecified in the question (i.e. Give your answer to 1 decimal place). Usually the first guess will be completed in the table for you (and thesecond if you are lucky) Find the two whole numbers in between which x must be. Find the two 1 decimal values in between which x must be etc. Once you are working with the specified number of decimal places TRYHALF WAY between. This will tell you which value x is closed to. Your answer must have the number of decimal places that are asked forin the question.

X1. A sequence of numbers is shown.2581114(a) Find an expression for the nth term of the sequence.Answer . (2)(b)Explain why 99 will not be a term in this sequence. (2)2.(a)A pattern using pentagons is made of sticks.Diagram 1Diagram 2Diagram 35 sticks9 sticks13 sticksHow many sticks are needed for Diagram 5?.Answer . (2)(b)Write down an expression for the number of sticks in Diagram n.Answer . (2)

(c)Which Diagram uses 201 sticks?.Answer . (3)X3.The nth term of a sequence is 4n 1Write down the first three terms of the sequence.Answer . (2)1. Laura is using trial and improvement to find a solution to the equationx3 2x 60The table shows her first two tries.Continue the table to find a solution to the equation.xx3 2x333too small472too bigCommentGive your answer correct to 1 decimal place.Answer x . (3)

2.Dario is using trial and improvement to find a solution to the equationx 1 5xThe table shows his first trial.x4x 1x4.25CommentToo lowContinue the table to find a solution to the equation.Give your answer to 1 decimal place.Answer x . (4)(Total 20 marks)

2DAY 71. The diagram shows three angles ona straight line AB.ASimplify the expression2c - d 4d – 8cAnswer .B40ºa60ºNot drawn accuratelyWork out the value of a. .Answer a .degreesc3. (a) An ordinary dice has sixfaces. Write down anexpression for the total numberof faces on x ordinary diceAnswer .(b) A tetrahedral dice has fourfaces. Write down anexpression for the total numberof faces on x ordinary dice and5 tetrahedral dice.Answer .b4. Work out the value of:Not drawn accurately70º5³ - 4³ (b)³ 8 24 (c)33 - 5 .60ºWork out the values of band c.Answer(a)b . degreesc . degrees

Hints and TipsTransformationsRead the question carefully before you start. There are 4 ctionIf you are asked to describe fully the transformation that has takenplace you need to write down the type of transformation. If it is aRotation: you must state the centre of rotation, the angle it hasturned and the directione.g. rotation of 90ο clockwise about (1,0)Translation: you must state the direction in which the shape hasmoved. You can write this simply, i.e. it has moved 2 squares rightand 3 up but it is better to use vectors such as:2()3Reflection: you must give the equation of the line of symmetry e.g.x 2 , y x etc.Enlargement: you must give the centre of enlargement and the scalefactor.Note: positive number – makes it biggerfraction – make it smallernegative value – turn the shape up side down Remember you can use tracing paper to help you – just ask.

X1.(a)The diagram shows two shapes P and Q.4321–1Describe fully the single transformation which takes shape P to shape Q. (2)(b) The vertices of triangle T are (1,1), (1,2) and (4,1).y8765432T10012345678910 xEnlarge tri

there to help you with each section – you could also use your maths revision guide, text book or your exercise book. Your parents/carers have been given answers to 30-4-10 so that you can mark your work at home. Remember to make a list of the questions that you are still finding difficult to

Related Documents:

The Joy Luck Club? AT: I don't think joy and luck are specific to Chinese culture. Everybody wants joy and luck, and we all have our different notions about from where that luck comes. Many Chinese stores and restaurants have the word "luck" in there. The idea is that, just by using the word "luck

The Joy Luck Club: examples PS3570.A48 J633 1996 Beard, Carla J. Amy Tan’s The Joy Luck Club. PS3570.A48 J634 2003 Henricksen, John. Amy Tan’s The Joy Luck Club. PS3570.A48 J638 2007 Women’s issues in Amy Tan’s The Joy Luck Club. [title main en

Good morning, good morning Good afternoon Good evening, good evening Good night, good night Nice to meet you Nice to meet you, too. Goodbye, goodbye. See you. (repite x2) See you later! The Greetings Song (Saludos) Good morning, good morning Good afternoon Good evening, good evening Good night, go

Martial Arts, "luck" or "wish" (using these words, or good luck charms), horseshoes, wishing on a star, four leaf clover, rabbit's foot, blowing out birthday candles and making a wish, breaking a "wishbone," (the word luck comes from the wo

the role of luck in fantasy cricket using data obtained from Dream11 and in fantasy basketball using data obtained from FanDuel. We also apply our test to the setting of mutual fund performance to verify whether the performance is driven by luck or skill. Section5discusses survivor bias in fantasy sports games using a player-centric test statistic.

The Joy Luck Club, Exploring Diversity Lesson 1, the Joy Luck Club, Exploring Diversity October 10, 2014 English II (10th grade) 60 minute block Instructional Context o In this unit, students will give examples on situations where they have conflicting opinions with their parents. I will show them how to visualize their ideas on Popplet.

Michele'Luck's'Social'Studies'' &'Other'Teacher'Resources' If#you#like#this#product,#please#visitmy#store# for#other#Scavenger#Hunts,#Archeological# Digs,#Walking#Gallery#Tours,#Centers#and# Staons#Ac@vi@es,#Review#Games,#Teacher# Resources,#and#so#much#more!### # Michele#Luck's#Social#Studies#on#TpT#

class : ukg - text books & note books s.no subject, publication & name of book quantity 1 integrated book - good luck - sunshine semester 1 1 2 1integrated book - good luck - sunshine semester 2 3 1 cursive writing - sun publications - capital and small 4 tamil - chetana - talir part