is the author of this Mathematics 3 Workabook. This way to become a Top Banana in mathematics! “Hello, hello!” says Top Banana. “There’s been a slip-up. Someone doesn't know they’re the same thing!” © PSHB Co Ltd 2014 is the author of this Mathematics 5 Workabook. Whizz Kid finds an interesting use for some of the properties of kites. TITLE PAGES Sample pages from Maths 3 and 5 Get to the top in mathematics faster... Today’s date: Learning Exercise: Today’s date: Today’s date: Finished by this date: L Practice Exercise: P Thinking Task: Learning Exercise: Learning Exercise: T Finished byby this date: Finished this date: L Practice Exercise: Practice Exercise: P Thinking Task: Thinking Task: Jottings WRITING PAGES Sample pages from Maths 2 and 4 Pupil comment: Parent / Carer comment: With help: © PSHB Co Ltd 2014 102 Signature: Alone: Pupil comment: Pupil comment: Teacher comment: Confidently: Signature: 108 Signature: Parent / Carer comment: ParentAlone: / Carer comment: Confidently: With help:With help: Signature: Signature: Alone: Teacher comment: Teacher comment: Confidently: Signature: Signature: T mini DICTIONARY Sample pages from Maths 4 and 6+ My mini mathematical dictionary My mini mathematical dictionary Here are some mathematical words you are likely to meet this year. Write an explanation alongside. There are spaces for you to add your own words. Build on your mathematical vocabulary by making sure you know all the words below. Write an explanation and example alongside to help you remember, and continue the list with other new words you come across. analogue algebra classify BoDMAS consecutive composite shape decimal place congruent degree cube root digital equation duration interior/exterior angle estimation interval factor pair inverse irregular nth term negative origin parallel plane positive polyhedron product prime factor proportion random quadrant recurring decimal regular scale factor round to sequence scale simplify translation square root vertices surface area term variable © PSHB Co Ltd 2014 116 117 117 Reference REFERENCE Sample pages from Maths 3 and 6 R1. R1. Multiply by 6 Multiply by 2 1x 6= 6 1x2= 2 2 x 6 = 12 2x2= 4 3 x 6 = 18 3x2= 6 4 x 6 = 24 4x2= 8 5 x 6 = 30 10 6 5x x62==36 12 7 6x x62==42 14 8 7x x62==48 16 9 8x x62==54 18 109xx62==60 20 1110xx62==66 22 1211xx62==72 12 x 2 = 24 R3. 118 © PSHB Co Ltd 2014 118 Multiply by 8 R3. Multiply 1 x 8 =by 810 12 xx 10 10 8 == 16 8 == 24 23 xx 10 20 8 == 32 34 xx 10 30 8 == 40 45 xx 10 40 8 == 48 56 xx 10 50 8 == 56 67 xx 10 60 8 == 64 78 xx 10 70 8 == 72 89 xx 10 80 10 x 8 = 80 9 x 10 = 90 11 8= 88 10 xx 10 = 100 12 xx 10 8 == 96 11 110 12 x 10 = 120 Reference Reference Divide by 6 Divide by 2 6÷6= 1 2÷2= 1 12 ÷ 6 = 2 4÷2= 2 18 ÷ 6 = 3 6÷2= 3 24 ÷ 6 = 4 8÷2= 4 30 ÷ 6 = 5 10 ÷÷ 62 == 65 36 12 ÷÷ 62 == 76 42 14 ÷÷ 62 == 87 48 16 ÷÷ 62 == 98 54 18 ÷÷ 62 == 109 60 20 ÷÷ 62 == 11 10 66 22 ÷÷ 62 == 12 11 72 24 ÷ 2 = 12 Divide by 8 Divide 8 ÷ 8 by = 110 10÷÷810= =2 1 16 24 20÷÷810= =3 2 32 30÷÷810= =4 3 40 40÷÷810= =5 4 48 50÷÷810= =6 5 56 60÷÷810= =7 6 64 70÷÷810= =8 7 72 80÷÷810= =9 8 80 90÷÷810= =10 9 88 ÷÷ 810==1110 100 96 ÷÷ 810==1211 110 120 ÷ 10 = 12 R2. R2. Multiply by 7 Multiply by 5 1x 7= 7 1x5= 5 2 x 7 = 14 2 x 5 = 10 3 x 7 = 21 3 x 5 = 15 4 x 7 = 28 4 x 5 = 20 5 x 7 = 35 25 6 5x x75==42 30 7 6x x75==49 35 8 7x x75==56 40 9 8x x75==63 45 10 9x x75==70 50 1110x x75==77 55 1211x x75==84 12 x 5 = 60 R6. Roman numerals R5. Symbols and abbreviations Divide by 7 Divide by 5 7÷7= 1 5÷5= 1 14 ÷ 7 = 2 10 ÷ 5 = 2 21 ÷ 7 = 3 15 ÷ 5 = 3 28 ÷ 7 = 4 20 ÷ 5 = 4 35 ÷ 7 = 5 4225 ÷÷ 7 5= =6 5 4930 ÷÷ 7 5= =7 6 5635 ÷÷ 7 5= =8 7 6340 ÷÷ 7 5= =9 8 7045 ÷÷ 7 5= = 10 9 7750 ÷÷ 7 5= = 1110 8455 ÷÷ 7 5= = 1211 60 ÷ 5 = 12 R5. Hieroglyphs ~ “approximately equal to” Roman numerals are based on capital ~ means These hieroglyphs are needed for Thinking Task 24. letter symbols: ( ) brackets are used to show the order in which calculations should be done. 1 5 10 50 100 500 1000 Value Any calculations in brackets 6 + (8 x 4) = 38 should be done first: V X L C D M Symbol I 3.05 kg < 3100 g < means “is less than”: > means “is greater than”: 30.5% > 30% R7. A typical calculator 1066 = MLXVI 1939 = MCMXXXIX 1000 = M 1000 = M 900 = CM (100 from 1000) 60 = LX Most calculators have the same sets of keys – but the layout of the keyboards can vary a lot! 30 = XXX 6 = VI 9 = IX (1 from 10) Clear the last calculation solar cell 8-digit display Clear the last entry R4. R4. Measuring Multiply by 9 Divide by 9 temperature 9÷9= 1 1x 9= 9 When we measure 18 ÷9= 2 2 x 9 = 18 temperature, we find 3out x 9how = warm 27 it is.27 ÷ 9 = 3 36 ÷ 9 = 4 4 x 9 = 36 We use a thermometer. 45 ÷ 9 = 5 5 x 9 = 45 Temperature is 54 ÷ 9 = 6 6 x 9 = 54 measured in degrees. 63 ÷ 9 = 7 7 x 9 = 63 We use this symbol 72 ÷ 9 = 8 8 x 9 = 72 for degrees: °C 81 ÷ 9 = 9 9 x 9 = 81 0°C = freezing point. 90 ÷ 9 = 10 10 x 9 = 90 11 100°C point. 99 ÷ 9 = 11 x 9 == boiling 99 108 ÷ 9 = 12 12 x 9 = 108 Plus / minus (to make a number negative or positive) Recall a number from memory Square root Add a number to memory Divide Subtract a number from memory Multiply Subtract Decimal point Equals Always remember to: Percentage Add estimate the answer before you use the calculator. clear the display before you start a new calculation. check that your finished calculation matches your estimate. 119 119 ACHIEVEMENT Sample pages from Maths 2 and 5 Leap up the ladders to the very top! Head for the finishing line! Colour in one square each time you complete a Learning Exercise, a Practice Exercise or a Thinking Task. Each time you complete a Learning Exercise, a Practice Exercise or a Thinking Task, colour in a square. When all 90 squares are coloured in, you have finished your Mathematics 5 Workabook. Congratulations on crossing the finishing line! Your Mathematics 2 Workabook will be complete when all seventy-two squares have been coloured in. © PSHB Co Ltd 2014 You’ve made big leaps this year. Well done, Bright Spark! Well done! You’re a Whizz Kid in mathematics! 18 Congratulations! 17 Exce ll We l rk t wo , Co en rk, Coo wo l ! Cat ol d t! Ca at! C one, Cool ld 20 The tangram triangle is for Thinking Task T24. Stick this and the ruler onto thin card and then cut out. 19 • Go o The Reward stickers are for children who have done their homework extremely well! 21 22 23 TEAR HERE 24 Mathematics 4 Workabook • 16 You have finished 15 My Mathematics 6 Workabook 14 thinking, C od 12 11 10 can be pr ou ! at Mathematics 6 Workabook This Cool Cat ruler belongs to What an i 7 Great stuff Clever Clogs! 6 5 4 3 2 1 0 t! Ca working ha re vemen pro t m 8 9 Y You ’ t prese llen n ce t! Ex © The Primary School Homework Book Co Ltd 2014. Tel: 0345 122 8623 your w ool Cat! ,C with good rd sults, Cool re © PSHB Co Ltd 2014 d of ou k, Cool Ca or tion, good ta , Cool eas C id target n o on Cool Cat! w, u’re really Yo 13 Very go You ’r Very g W real Coo l l Cat! oo ea t! Ca for d ef t, Co oo Cat! ol t a Cool C ha ! at REWARDS and CERTIFICATES Sample pages from Maths 4 and 6 Workabook® Rewards for a Cool Cat in Mathematics © PSHB 2005, 2014. 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