MathsWatch Worksheets FOUNDATION Questions and …

1 MathsWatch MathsWatchClip No Name of clipTierGradesPg No1 Place valueFG to E12 Ordering DecimalsFG to E23 Round to nearest 10, 100, etcFG to E34 Reading scalesFG to E45 Multiply or divide by powers of 10FG to E56 Negatives in real lifeFG to E67 Multiplication and division with negativesFG to E78 Fraction of an amountFG to E89 Square and Cube NumbersFG to E910 fractions , Decimals and PercentagesFG to E1011 Money questionsFG to E1112 Shading fractions of rectanglesFG to E1213 Ordering fractions , Decimals & PercentagesFG to E1314 Estimating answersFG to E1415 Place value when multiplyingFG to E1516 Addition and subtractionFG to E1617 Long multiplicationFG to E1718 Long divisionFG to E1819 Multiplication & Division with DecimalsFG to E1920 Decimal places and significant figuresFG to E2021 Half way pointsFG to E2122 ReciprocalsFG to E2223 ProportionFG to E2324 Distance tablesFG to E2425 TimetablesFG to E2526 PowersFG to E2627 Line GraphsFG to E2728 CoordinatesFG to E2829 Number SequencesFG to E2930 Number MachinesFG to E3031 AnglesFG to E3132 Congruent and Similar ShapesFG to E3233 Area and PerimeterFG to E3334 Volume of cuboidsFG to E3435 Converting Metric MeasuresFG to E3536 Triangles.

2 Quadrilaterals & Other PolygonsFG to E3637 Names of solidsFG to E3738 TessellationsFG to E3839 Isometric drawingFG to E3940 The probability scaleFG to E4041 The averagesFG to E4142 PictogramsFG to E4243 Conversion graphsFG to E43 MathsWatchClip No Name of clipTierGradesPg No44 Factors, Multiples and PrimesF and HD4445 Evaluate powersF and HD4546 Understand squares, cubes, rootsF and HD4547 Equivalent fractionsF and HD4648 Simplification of fractionsF and HD4649 Put fractions in orderF and HD4650 Value for moneyF and HD4751 Percentage of an amount with a calculatorF and HD4852 Percentage of an amount without a calculatorF and HD4853 Change to a percentage with a calculatorF and HD4954 Change to a percentage without a calculatorF and HD4955 Find a fraction of an amountF and HD5056 Addition and subtraction of fractionsF and HD5157 Multiply and divide fractionsF and HD5258 Change fractions to decimalsF and HD5359 BODMASF and HD5460 Long Multiplication of DecimalsF and HD5561 RatioF and HD5662 Recipe type ratio questionsF and HD5763 Hard calculator questionsF and HD5864 Real-life money questionsF and HD5965 Generate a sequence from the nth termF and HD6066 SubstitutionF and HD6167 Parallel linesF and HD6268 Angle sum of a triangleF and HD63-6469 Properties of special trianglesF and HD63-6470 Finding angles of regular polygonsF and HD6571 Area of

3 CircleF and HD6672 Circumference of circleF and HD6773 Area of compound shapesF and HD6874 RotationsF and HD6975 ReflectionsF and HD7076 EnlargementsF and HD7177 TranslationsF and HD7278 Find the mid-point of a lineF and HD7379 Measuring and drawing anglesF and HD7480 Drawing trianglesF and HD7581 Plans and elevationsF and HD7682 NetsF and HD7783 SymmetriesF and HD7884 Questionnaires and data collectionF and HD7985 Two-way tablesF and HD8086 Pie chartsF and HD8187 Scatter graphsF and HD8288 Frequency diagramsF and HD8389 Stem and leaf diagramsF and HD8490 List of outcomesF and HD8591 Mutually Exclusive EventsF and HD85 MathsWatchClip No Name of clipTierGradesPg No92 Overview of percentagesF and HC8693 Increase/decrease by a percentageF and HC8794 RatioF and HC8895 Products of prime factorsF and HC8996 LCM and HCFF and HC8997 Standard formF and HC9098 Recurring decimals into fractionsF and HC9199 Four rules of negativesF and HC92100 Division by 2-digit decimalsF and HC92101 Estimate answersF and HC93102 Algebraic simplificationF and HC94103 Expanding & simplifying bracketsF and HC95104 FactorisationF and HC96105 Solving equationsF and HC97106 Forming equationsF and HC98107 Changing the subject of a formulaF and HC99108 InequalitiesF and HC100109 Solving inequalitiesF and HC101110 Trial and improvementF and HC102111 Index Notation for Multiplication & DivisionF and HC103112 Find the Nth termF and HC104113 Drawing straight line graphsF and HC105114 Equation of a straight lineF and HC106115 Simultaneous Equations GraphsF and HC107116 Drawing Quadratic GraphsF and HC108117 Real-life GraphsF and HC109118 Pythagoras' TheoremF and HC110119 Pythagoras - line on a graphF and HC1111203-D coordinatesF and HC112121 Surface area of cuboidsF and HC113122 Volume of a prismF and HC114123 Similar shapesF and HC115124 DimensionsF and HC116125 BoundsF and HC117126 Compound measuresF and HC118127 Bisecting a lineF and HC119128 Drawing a perpendicular to a

4 LineF and HC120129 Bisecting an angleF and HC121130 LociF and HC122-123131 BearingsF and HC124132 Experimental probabilitiesF and HC125133 Averages from a tableF and HC126134 QuestionnairesF and HC127 MathswatchPage 1 Clip 1 Place Value1)a) Write the number forty five thousand, two hundred and seventy three in ) Write the number five thousand, one hundred and three in ) Write the number three hundred thousand, seven hundred and ninety one in ) Write the number two and a half million in ) Write the number one and three quarter million in )Write the following numbers in wordsa) 1 250b) 3 502c) 72 067d) 192 040e) 30 000 0003)a) Write down the value of the 7 in the number 3 ) Write down the value of the 6 in the number 56 ) Write down the value of the 2 in the number 99 ) Write down the value of the 5 in the number 258 ) Write down the value of the 2 in the number 1 253 000 000 100 000 10 000 1 000 100 10 145 2735 103300 7912 500 0001 750 000 One thousand, two hundred and fiftyThree thousand, five hundred and twoSeventy two thousand, and sixty sevenOne hundred and ninety two thousand, and fortyThirty millionSeven hundredSeven hundredSix thousandTwentyFifty thousandTwo hundred thousand MathswatchPage 2 Clip 2 Ordering NumbersPut these numbers in order, starting with the smallest:1)74, 57, 38, 8, 612)39, 84, 11, 128, 243)76, 102, 12, 140, 734) , 31, , 13, ) , , , ) , , , , ) , , , ) , , , ) , , , , )3, 2, 7, 10, 111) 3, 11, 1, 5, 712) 4, 6, 0, 6, 18, 38, 57, 61, 7411, 24, 39, 84, 12812, 73, 76, 102, , , , 13, , , , , , , , , , , , , , , , , , 7, 2, 1, 3, 10 11, 5, 3, 1, 7 6, 4, 1, 0, 6 MathswatchPage 3 Clip 3 Rounding to the Nearest 10, 100, 10001)Round these numbers to the nearest 10.

5 A) 26b) 62c) 75d) 231e) 797f) 5 842g) 9 875h) 1 3 7582)Round these numbers to the nearest 100:a) 78b) 223c) 549d) 1 450e) 1 382f) 4 537g) 9 193h) 1 7 6253)Round these numbers to the nearest 1000:a) 850b) 1 455c) 3 230d) 7 500e) 8 455f) 9 690g) 1 2 390h) 2 8 9103060802308005 8409 88013 7601002005001 5001 4004 5009 20017 6001 0001 0003 0008 0008 00010 00012 00029 000 MathswatchPage 4 Clip 4 Reading Scales1)What is the reading on each of these scales?01234kg0123401234kgkga)b)c)010203 040kg0100200300400 020406080kgkgd)e)f) 20 10 0 10 20 30 40 C2)This scale shows degrees ) What temperature is the arrow pointing to?b) Draw an arrow which points to 17 C3)This is a diagram for converting gallons to the diagram to converta) 3 gallons to ) gallons to ) 6 litres to gallons55, 56 or 57would be acceptedany value between320 and 330inclusive would beaccepted MathswatchPage 5 Clip 5 Multiply and Divide by Powers of 101)Multiply the following numbers by 10, 100 and 1000: 10 100 )Divide the following numbers by 10, 100 and 1000: 10 100 )Work out the following:3 100 =65 10 =17 10 =359 10 = 100 = 1000 =42 100 =3582 100 = 10 = 100 =88 1000 = 1000 =909009 0006306 30063 0008 45084 500845 620 MathswatchPage 6 Clip 6 Negatives in Real Life2)The table below gives the temperature recorded on 25th December of 7 cities across the ) Which city recorded the lowest temperature?

6 B) What is the difference in temperature between New York and Paris?c) What is the difference in temperature between Cairo and Edinburgh?d) The temperature in Madrid was 9 C lower than in was the temperature in Madrid?e) The temperature in Mexico was 6 C higher than in New was the temperature in Mexico? CityEdinburgh London New York MoscowParisRomeCairo Temperature-6 C0 C-15 C-23 C3 C5 C18 C1)At midnight, the temperature was -7 7am the next morning, the temperature had increased by 6 ) Work out the temperature at 7am the next midday, the temperature was 3 ) Work out the difference between the temperature at midday and the temperature at ) Work out the temperature which is halfway between -7 C and 3 CJupiter-150 CSaturn-180 CNeptune-210 CPluto-230 C3)The table shows the temperature on the surface of each of five ) Work out the difference in temperature between Jupiter and ) Work out the difference in temperature between Venus and ) Which planet has a temperature 30 C lower than Saturn?

7 The temperature on Mars is 90 C higher than the temperature on ) Work out the temperature on Mars. 1 C10 C 2 CMoscow18 C24 C 4 C 9 C80 C390 CNeptune 60 C MathswatchPage 7 Clip 7 Multiplication & Division with NegativesWork out the following:1)-3 6 =2)4 2 =3)10 -2 =4)-6 -3 =5)-5 -7 =6)7 -3 =7)12 4 =8)-24 6 =9)-8 2 =10)-9 3 =11)4 -1 =12)-3 -9 =13)-70 -7 =14)11 -6 =15)4 -3 2 =16)-5 2 -4 =17)4 5 -2 =18)-8 -2 -6 =19)-2 -3 -4 =20)8 -2 -6 = 18 8 -5 2 35 21 3 4 16 3 4 27 10 66 24 40 10 24 24 24 MathswatchPage 8 Clip 8 Fraction of an Amounta)1420 ofb)3420 ofc)1321 ofd)2321 ofe)3444 off)2324 ofg)3515 ofh)3436 ofi)7981 ofj)5756 ofk)31050 ofl)61133 ofm)1414 ofn)3414 ofo)3820 ofa)1210 ofb)139 ofc)1525 ofd)1224 ofkge)1436 ofcmf)1642 ofkgg)1848 ofkgh)11166 ofi)1990 ofkmj)1728 ofk)15125 ofkgl)16240 ofkm1)Work out the following.

8 3)The highest possible mark for a Maths test was got 78 of the full many marks did she get?4)At MathsWatch School there are 1500 of these students are ) What fraction of students are female?b) How many are male?c) How many are female?2)Work out the following: 5 3 512kg9cm7kg6kg 610km 425kg40km5157143316 9 marks700 80081564 8 = 88 7 = 561500 15 = 100100 7 = 7001500 - 700 = 800 MathswatchPage 9 Clip 9 Square and Cube Numbers1649149361512565039421)a) In the numbers, above, find six of the first seven square ) Which of the first seven square numbers is missing?2)Work out the following:a) 102b) 92c) 72 + 32d) 82 223)For each pair of numbers, below, there is just one square numberthat lies between them. In each case, write the square number:a) 7 15b) 21 29c) 72 96d) 130 1564)Work out the following:a) 25b) 81c) 16 + 625)The first cube number is 13 = 1 Write out the 2nd, 3rd, 4th and 10th cube )Work out the following:a) 13 + 33b) 103 + 537)Work out the following:a) 33 + 62b) 103 + 1008)Work out what should go in the boxes:a) = 6b) = 81, 4, 9, 16, 36, 49251008149 + 9 = 5864 4 = 60 9 25 81 144 5 9 4 + 36 = 408, 27, 64.

9 , 1 0001 + 27 = 281 000 + 125 = 1 12527 + 36 = 63 1 000 + 10 = 1 0103664 MathswatchPage 10 Clip 10 fractions , Decimals and Percentagesa) =b) =c) =d) =e) =f) =g) =3101525143412131. Write the following fractions as decimals and 1 100 2. Fill in the blanks in the table below:. = 30% = 20% = 40% = 25% = 75% = 50% = 33 % % MathswatchPage 11 Clip 11 Money Questions1)Bill buys 3 melons at ) How much does he spend?b) How much change does he get from 5?2)Jenny is taking her family to the pays for 1 adult and 3 ) How much does she spend?b) How much change does she get from 20?3)Bob is paid 7 per ) Last monday Bob worked for 8 hoursWork out his pay for that ) Yesterday Bob was paid out how many hours Bob )Complete this kg of carrots at 40p per kg= ..3 kg of potatoes at 52p per kg= .. boxes of tea bags at 90p each = packs of yogurts at .. each= ..CinemaAdult: : 56 6 hours MathswatchPage 12 Clip 12 Shading Fractionsa)b)c)d)e)f)2)Shade the given fraction in the following )Which of these fractions is the smallest?

10 5679 or (use the grids to help)1)What fraction of each of the following shapes is shaded?4)Which of these fractions is the largest?2713 or(you must show your working)26or132526or1335or3616 or1261256= 45 42 6 7 MathswatchPage 13 Clip 13 Ordering fractions , percentages & Decimals1. Change these fractions to )b)c)d)e)f)2. Change these percentages to ) 63%b) 8%c) 59%d) 81%e) ) Write the following numbers in order of size (smallest to largest)a) 0612359%0 ) 81%0 7845340 ) 13031428 5%0 ) 0 2321%152210019 2%..e) 1%0 01231000021140.. 354514341323150215 . 52%0 5252 100 . MathswatchPage 14 Clip 14 Estimation1)Work out an estimateeg. 17 193 20 200 = 4000a) 12 304c) 231 56b) 38 72d) 773 132)Work out an estimateeg. 54 5 50 = 250a) 52c) 265b) 103d) 512 )Work out an estimateeg. 37 12 40 10 = 4a) 122 53c)34128b) 372 44d)109964)Work out an estimateeg. 37 40 1 = 40a) 68 ) ) 37 )9610 4 .5)Work out an estimateeg.