Percentage Basics

Percentage BasicsPercentageBasicsSolutionsCurriculum Readywww.mathletics.comHSERIES

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How does it work?SolutionsPercentage BasicsPage 3 questionsProper fractions to percentages100 100%1001a9 9%1002a7% 7100b13% 13100c29% 29100d50% 50 12100e20% 20 15100f25% 25 11004b40 40%100c75% 75 34100h14% 14 75010078% 78 3950100k45% 45 920100a6 6'2200200 ' 2 3100i55% 55 1120100SimplestForml68% 68 stFormg75 75%100b 3%80 80 ' 4400 ' 4400 20100c 20%150 150 ' 5500500 ' 5 30100 30%Page 4 questionsProper fractions to percentages3d7 7 # 101010 # 10 70100e 70%4a1 1 # 5022 # 50 50100 50%5 5#25050 # 2 10100f 10%b3 3#42525 # 4 12100 12%Percentage Basics SolutionsMathletics 3P Learning Ltd10 10 # 42525 # 4 40100 40%c10 10 # 101010 # 10 100100 100%H7SERIESTOPIC1

How does it work?SolutionsPercentage BasicsPage 4 questionsProper fractions to percentages4d3 3 # 2544 # 25 751003 3 # 2055 # 20 60100e 60% 75%g27 27 ' 3300 ' 3300 9100f198 198 ' 2200 ' 2200 99100 9%50 50 ' 252500 ' 252500 2100h 99%355 355 ' 5500 ' 5500 71100i 2% 71%Page 5 questionsProper fractions to 40SbzOaRSOLIDUSdhmazbxPercentage Basics SolutionsMathletics 3P Learning LtdxR%7X60Ha%24U625xSDL1225F125 1Xz2dIm172025%m30%

How does it work?SolutionsPercentage BasicsPage 7 questionsDecimals and percentages12The percentage value is divided by 100, so the decimal point is moved places to the left.ab35 ' 100 0 . 3 5 . 0.35d432 ' 100 0 . 3 2 . 0.75e4 ' 100 0 . 0 4 . 0.32f1 ' 100 0 . 0 1 .9 ' 100 0 . 0 9 . 0.01 0.043c75 ' 100 0 . 7 5 . 0.09The decimal is multiplied by 100, so the decimal point is moved places to the right.ab0.55 # 100 0 . 5 5 . 55%dc0.23 # 100 0 . 2 3 .0.7 # 100 0 . 7 0 . 23%e0.8 # 100 0 . 8 0 . 70%f0.01 # 100 0 . 0 1 . 80%0.04 # 100 0 . 0 4 . 1% 4%Page 8 questionsCombo time: Decimals, fractions and cimPercPercentage Basics SolutionsMathletics 3P Learning LtdH7SERIESTOPIC3

How does it work?SolutionsPercentage BasicsPage 9 questionsCombo time: Decimals, fractions and percentages2ab: 40 ' 100 0 . 4 0 .: 90 ' 100 0 . 9 0 . 0.4 0.9: 40 21005c: 90 910010d: 0.42 # 100 0 . 4 2 .: 0.15 # 100 0 . 1 5 . 15% 42%: 42 2110050e3a:: 15 31002090 ' 2 45100200 ' 2f:7 ' 2 1410050 ' 2 0.45Decimal 0.14Decimal 45%Percentage 14%Percentage: 0.08 # 100 0 . 0 8 .b: 1 # 5 5 0.0510020 # 5c: 36 ' 100 0. 3 6 . 8%:d 0.368 210025: 6 # 4 24 0.2410025 # 4:e: 36 9100255 5%100: 84 ' 3 28100300 ' 3f:60 ' 15 4 1100251500 ' 15 0.284: 24 24%100: 28 28%100H7Percentage Basics SolutionsSERIESTOPICMathletics 3P Learning Ltd 0.04:4 4%100

How does it work?SolutionsPercentage BasicsPage 11 questionsFractional and decimal percentages1a2 0.5 0.5%1004001%2 Decimalc4 0.8 0.8%500100a15 7.5 7.5%20010013 2.6 2.6%100500DecimaleDecimalb10 2.5 2.5%400100Mixed number23 %5 dProperfractionMixed numberf26 5.2 5.2%50010092%5Mixed number Decimalh51 %5Mixed number75 18.75 18.75%400100Mixed number33%4 Decimal41 %421 %2 30 3.75 3.75%100800Mixed number 2%5 DecimalMixed number17 4.25 4.25%40010047 9.4 9.4%5001003 0.4 0.4%100750ProperfractionDecimal71 %2DecimalgdProperfraction 3%4 Decimal4%5 Decimalc3 0.75 0.75%400100ProperfractionDecimal2b Decimal18 3 %4Mixed numberPage 12 questionsFractional and decimal 000 15a2.5%b6.25%c11.85%e45.05%e7.05%f0.96%Percentage Basics SolutionsMathletics 3P Learning LtdH7SERIESTOPIC5

How does it work?SolutionsPercentage BasicsPage 12 questionsFractional and decimal percentages5a0.255 25.5%25 1 %2 Decimalc0.1025 0.045 10.25%4.6% 0.218 21.8%Decimal6H7SERIESTOPIC10 1 %443 %5d50.75 21 4 %5f0.084 Mixed number50.75% 8.4%h0.555 55.5%DecimalPercentage Basics Solutions 3P Learning Ltd50 3 %4Mixed number 82 %5Mixed numberDecimalMixed numberMathletics81 %2 DecimalMixed number 8.5%DecimalMixed numberDecimalg0.085 Mixed numberDecimaleb 55 1 %2Mixed number

Where does it work?SolutionsPercentage BasicsPage 14 questionsPercentage of an amount1a25% of 20 25100b# 2030% of 30 30100 9 5c2a40% of 65 40 ' 100 # 6510100# 60d75100# 28 0.45 # 40 26 18 600100b50100# 18 210010040100# 24 960100 900100c25100# 16 9e60100# 20 21g45% of 40 45 ' 100 # 40 0.4 # 65 6d# 30 1200100 4f 12h20100# 39 9.6 40010080100# 30 2400100 24 780100 7.8Page 15 questionsPercentage of an amount3a 20 ' 100h # 40 8b 30 ' 100h # 20 6c 50 ' 100h # 32 16d 35 ' 100h # 80 28e 25 ' 100h # 44 11f 75 ' 100h # 18 13.5g 21 ' 100h # 30 6.3h 19 ' 100h # 25 4.75Percentage Basics SolutionsMathletics 3P Learning LtdH7SERIESTOPIC7

Where does it work?SolutionsPercentage BasicsPage 15 questionsPercentage of an amount4a 40 ' 100h # 45 1840100or# 45 1800 18100 18 of the people were dressed as angels.b 15 ' 100h # 200 3015100or# 200 3000 30100 Qian's music collection fills 30 GB of storage space.Page 16 questionsPercentage of an amount5a18% the word 'love', 100% - 18% 82% of the words are not the word 'love'. 82 ' 100h # 150 12382100or# 150 12 300 123100 123 of the 150 words in Justin's poem are not the word 'love'b58% prefer bananas, 100% - 58% 42% prefer apples. 42 ' 100h # 800 336or42100# 800 33 600 336100 336 of the 800 fruit eating animals at the zoo preferred the taste of apples.6a35% 14% 6% 55%, 100% - 55% 45% of the mixture is milk 45 ' 100h # 430 193.5or45100# 430 19 350 193.5100 there is 193.5 mL in the pancake mixture.b20% of 245 20 ' 100h # 245 49 g (245 - 49) 196 g left on the heaviest side total amount of weights on the scales 2 # 196 392 g8H7SERIESTOPICPercentage Basics SolutionsMathletics 3P Learning Ltd

Where does it work?SolutionsPercentage BasicsPage 18 questionsPercentages greater than 100%1a25 25 # 5 2020 # 51251002330 30 # 4 2525 # 4e9 9 # 20 55 # 20a11232 120100150100 Fraction95180100c145e2 1225a120% 6225 120100 Improperfraction180% 150% Improperfraction120% 180100b320 320 ' 2 200200 ' 2PercentageEquivalentfractionc125% 2481001 20100 Percentaged720 720 ' 3 300 ' 3300240100 240%f576 576 ' 2 200 ' 2200288100 288%b21494 225100 Improperfraction225% PercentageFraction3 1310 4310 430100 430%248%f1 1720 3720 185100 185%115b270% SimplifiedMixednumber160%d180% EquivalentfractionPercentage 160100c110% 110100 1 10100 1 110e355% 355100 3 55100 3 1120 Improperfraction2 70100 2 710SimplifiedMixednumberd475% 475100 4 75100 434f192% 192100 1 92100 1 2325Percentage Basics SolutionsMathletics270100 3P Learning LtdH7SERIESTOPIC9

Where does it work?SolutionsPercentage BasicsPage 19 questionsPercentages greater than 100%45a124% 124 ' 100 1.24b2.35 2.35 # 100% 235%c213% 213 ' 100 2.13d1.68 1.68 # 100% 168%e490% 490 ' 100 4.90f9.07 9.07 # 100% 907%g300% 300 ' 100 3.00h4.5 4.5 # 100% 450%Combo time:a212.5 ' 100 2.125b105.75 ' 100 1.0575c165 1 165.52d286 1 286.254 165.5 ' 100 1.655 286.25 ' 100 2.8625e3.105 # 100 310.5%f1.0535 # 100 105.35%g2.125 # 100 212.5%h1.902 # 100 190.2 212.5% 212 1 %2i 190.2% 190 1 %5j3.004 # 100 300.4%2.0075 # 100 200.75% 200.75% 200 3 %4 300.4% 300 2 %5Page 21 questionsRecurring decimal percentages110a55.5o % 55 5 %9b122.2o % 122 2 %9c64.4o % 64 4 %9do o % 23 23 %23.2399eo o% 8 8 %8.0899fo o 10 12 % 10 4 %10.12%9933H7SERIESTOPICPercentage Basics SolutionsMathletics 3P Learning Ltd

Where does it work?SolutionsPercentage BasicsPage 21 questionsRecurring decimal percentages2a0.002o # 100 0.2o %b0.007o # 100 0.7o % 2%9d0.064o # 100 6.4o %0.3o # 100 33.3o %e0.08o # 100 8.8o %ah0.98o # 100 98.8o %f0.1o # 100 11.1o % 11 1 %9i0.26o # 100 26.6o % 98 8 %9o2 4 % 2.4%9 26 2 %3o4 16 % 4 8 % 4.8%918b 4.8o ' 100 0.048o 2.4o ' 100 0.024oc 25 %9 88%9 33 1 %330.025o # 100 2.5o % 7%9 64%9gco1 2 % 1 6 % 1.6%39 1.6o ' 100 0.016oPercentage Basics SolutionsMathletics 3P Learning LtdH7SERIESTOPIC11

What else can you do?SolutionsPercentage BasicsPage 23 questionsOne amount as a percentage of another1a5 out of 20 520 25100b10 out of 25 1025 40100 40% 25%c128 out of 200 128200 64100d450 out of 500 450500 90100 64%2ac 90%12 out of 32 1232b21 out of 24 2124 6 25 ' 32h # 100 @% 6 21 ' 24h # 100 @% 37.5% 87.5% 37 1 %2 87 1 %225 out of 30 2530d 6 25 ' 30h # 100 @%10.1 out of 40 6 10.1 ' 40h # 100 @% 25.25% 25 1 %4o 83.3% 83 1 %33a4 out of 9 49H7SERIESTOPIC13 out of 33 1333 6 4 ' 9h # 100@ % 6 13 ' 33h # 100 @% 44.4o %o o% 39.39 44.4412b(to 2 d.p.) 39.39Percentage Basics SolutionsMathletics 3P Learning Ltd to 2 d.p.h

What else can you do?SolutionsPercentage BasicsPage 23 questionsOne amount as a percentage of another3c8.9 out of 11 6 8.9 ' 11h # 100 @%d22.8 out of 34 6 22.8 ' 34h # 100 @%o o% 80.90 67.058 823 53% 80.91% (to 2 d.p.) 67.06% to 2 d.p.hPage 24 questionsOne amount as a percentage of another4 6 48 ' 50h # 100 @% 96% Grace spelled 96% of the words correctly in the test.5 6 16 ' 25h # 100 @% 64% 64% of Luke's passes were good.6Two of the covers have a striped pattern and there are eight different covers altogether. 6 2 ' 8h # 100 @% 25% 25% of covers available have a striped pattern.7Green is one of the seven different main dispersed light colours. 6 1 ' 7h # 100 @% 14.285 714 29% 14.29% (to 2 d.p.)The colour green makes up 14.29% of the dispersed white light.Percentage Basics SolutionsMathletics 3P Learning LtdH7SERIESTOPIC13

What else can you do?SolutionsPercentage BasicsPage 25 questionsOne amount as a percentage of another8 6 0.82 ' 3.6h # 100 @% 22.7o % 22.8% (to 1 d.p.) 22.8% of the cordial is syrup flavour.9 6 14 ' 39h # 100 @% 35.897 435 9.% 35.9% (to 1 d.p.) One song contains 35.9% of all the different chords the band plays in one show.10 6 12.6 ' 16h # 100 @% 78.75% 78 3 %4 Nicola has already used 78 3 % of the memory stick storage space.411Of the fifteen hexagons, eight of them are shaded black. 6 8 ' 15h # 100 @% 53.3o % 53 1 %3 53 1 % of the hexagons are shaded black.312There are four pink wrapped chocolates, and eighteen wrapped chocolates altogether. 6 4 ' 18h # 100 @% 22.2o % 22 2 %9 22 2 % of the chocolates have pink foil.914H7SERIESTOPICPercentage Basics SolutionsMathletics 3P Learning Ltd