# ANSWER GUIDE SEA Mathematics Practice Tests Aleph .

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ANSWER GUIDESEA Mathematics Practice TestsSECTION 110.1.Ans: 15 3072.Selling price 25 hairbrushes x 9.00 225.00Profit Selling Price – Cost Price 225.00 – 175.00 50.00Ans: 50.0064 810081003.x 1 10 x80 10Ans: 80%4.Total cost of the items 11.30 12.85 24.1515 is 50 , so 24.15 rounded offto the nearest dollar 24.00Ans: 24.005.111.Average weight of 1 lamp in kg 42 kg 6 7 kg1 kg 1 000 gramsWeight of 1 lamp in grams 7 kg x 1 000 7 000 gAns: 7 000 g12.Ans:13.Volume of the cuboid Length x Width x Height 50 cm x 40 cm x 15 cm 2000 cm2 x 15 cm 30 000 cm3Ans: 30 000 cm314.Area Side x Side 12 cm x 12 cm 144 cm2Ans: 144 cm215.Angle R is 90 acute angleAns: An acute angle16.Ans: Lines CD and GH 8 x 10 80%𝟓𝟖𝟕6.40 – 25 15 15 – 10 5 25 10 5 40 Ans: 25 , 10 , 5 coin pieces7.Number of chocolate cupcakes (8 x 2) 6 16 6 22 chocolate cupcakesAns: 22 chocolate cupcakes9.1 hour 60 minutes3 hours 3 x 60 180 minutes90180x 1 9 x 18 162 minutes100Ans: 162 minutes(7 x 8) 2 56 2 5825887 7Ans:8. Aleph EducatorsTEST 1Percent of hair ties Cintra kept 100% – 60% 40%4040% 100 0.4Ans: 0.43x29Ans: 𝟐3 11x29 3 23𝟑1

ANSWER GUIDE17.21.22.SEA Mathematics Practice TestsAns:18.Total Mean x number of numbers 26 x 8 208Ans: 20819.YouTube 14Kindle 914 – 9 5 studentsAns: 5 students20.Total number of curtain panels soldduring the week (8 5 6 4 7) x 10 30 x 10 300 curtain panelsAns: 300 curtain panelsSECTION 2Number of eggs needed for 1 cake24. 6 eggs 2 cakes 3 eggsNumber of cakes 24 eggs 3 8 cakesAns: 8 cakesV.A.T. paid 12.5% x Cost of 1 bottle of hair oil1 45.60 45.60 8 x 1 8 5.70Cost of 1 bottle of hair oil V.A.T.inclusive Cost of the bottle of hairoil V.A.T. exclusive V.A.T. 45.60 5.70 51.30Ans: 51.30 Aleph EducatorsTEST 1Cost of the split peas 8.75 x 3 26.25Cost of the flour 5.75 x 2 kg 11.50Total cost of the items 26.25 11.50 37.75Ans: 37.7525.Ans: Anil’s Supermarket sold thejuice at the more expensive pricebecause you receive less packs ofjuice for the same cost.26.Principal 70 000.00 Rate 4% 23.Number of high heels160 15 4 1 x 1 15 high heelsNumber of high heels and sneakers 15 30 45 shoesTime 424100years 921yearsSimple Interest Principal x Rate x Time70 000 x 4 2 x 9 100 x 2 1 700 x 2 x 9 1 400 x 9 12 600.00Number of sandals 60 – 45 15 sandalsFraction of the shoes that wassandals151 60 when reduced by 15 4Ans:170 000Total amount to repay the bank Principal Simple Interest 70 000.00 12 600.00 82 600.00Ans: 82 600.00𝟏𝟒2

ANSWER GUIDE27.SEA Mathematics Practice Tests331. 216216 2 108108 2 5454 2 2727 3 99 3 33 3 1(2 x 2 x 2) x (3 x 3 x 3) 2163 216 2 x 3 6Time Hema completed the exam hr min9 30 1 0410 34 10:34 a.m.Ans: 10:34 a.m.Down payment158000 100 x 1 15 x 80 1 200.00Balance Mother has to pay Cost of the dryer – Down payment 8 000.00 – 1 200.00 6 800.0032.Cost of each monthly instalment Balance to be paid Number ofmonthly instalments 6 800.00 4 1 700.00Ans: 1 700.0029.175x 0.0814.00Ans: 1430.66 x 37 24422442 – 312 2130Ans: 2 1301 hour 60 minutesLength of time Giselle took tocomplete the exam 60 20 80 minutesLength of time Hema took tocomplete the exam480 16 5 1 x 1 4 x 16 64 minutes64 minutes 1 hour 4 minutes72 7 x 7 4949 6 55Ans: 5528. Aleph EducatorsTEST 1Volume of the prism Length x Width x Height 60 cm x 40 cm x 20 cm 2400 cm2 x 20 cm 48 000 cm3Volume of each of the small prisms 48 000 cm3 8 6 000 cm3Ans: 6 000 cm333.Area of rectangle A Length x Width 10 m x 8 m 80 m2Length of rectangle B 14 m – 8 m 6 mArea of rectangle B Length x Width 6 m x 2 m 12 m2Area of shape Area of rectangle A Area of rectangle B 80 m2 12 m2 92 m2Ans: 92 m23

ANSWER GUIDE34.SEA Mathematics Practice TestsMiss Mindy’s:1 kg of peas 5.2039.Grocer Green:1 kg 1000 g1 000 g 250 g 41 kg of peas 1.40 x 4 5.6036.37.Profit made from the sale of thumbtacks that week Profit made from the sale of 1 boxof thumb tacks x number of boxessold that week 3.00 x 105 boxes 315.00The box is a cuboid.Ans:Faces: 6Edges: 12Vertices: 8Method 2Cost price of all the boxes 105 x 4.00 420.00Selling price of all the boxes 105 x 7.00 735.00Angle Y 70 70 x 2 140 360 – 140 220 Size of angle X 220 2 110 Ans: 110 Profit made from the sale of thumbtacks that week Selling price – Cost price 735.00 – 420.00 315.00Ans: 315.00Ans:40.38.Total number of boxes of thumbtacks (7 5 3 1 5) x 5 21 x 5 105 boxes of thumb tacksMethod 1Profit made from the sale of 1 boxof thumb tacks Selling price – Cost price 7.00 – 4.00 3.00Pop’s Shop:1 kg 1000 g1 000 g 500 g 21 kg of peas 2.70 x 2 5.40Ans: Grocer Green35. Aleph EducatorsTEST 1Total number of marks scored Mean mark x nos. of subjects 91 x 4 364Sum of marks scored in 3 subjects 100 93 79 272Science mark 364 – 272 92Ans: 924Ans: Pineapples and grapefruits.Christmas is in December, so the 2fruits you would see a greaternumber of selling in the market arepineapples and grapefruits as thosewere the most cultivated.

ANSWER GUIDE41.SEA Mathematics Practice TestsSECTION 3Decimal fraction of the race Raj ran43.on Sunday 1.0 – 0.4 0.6Distance Raj ran on Sunday 90 km x 0.6 54 kmArea of the picture Length x Width 32 cm x 20 cm 640 cm2Length of the birthday card 32 cm (5 cm x 2) 32 cm 10 cm 42 cmDistance Raj ran before he stoppedfor lunch on Sunday554 6 x 5 x 6 30 km9 11Ans: 30 km42. Aleph EducatorsTEST 1Width of the birthday card 20 cm (5 cm x 2) 20 cm 10 cm 30 cmArea of the birthday card Length x Width 42 cm x 30 cm 1 260 cm2Monthly salary Hourly rate of pay x Number ofhours worked 90.00 x 120 10 800.00Area of the border Area of the birthday card – area ofthe picture 1 260 cm2 – 640 cm2 620 cm2Ans: 620 cm2Total percent of deductions 25% 6% 31%Percent monthly salary remaining 100% – 31% 69%44.Amount of money left afterdeductions6910800 100 x 1 69 x 108 7 452.00Ans: 7 452.00(a)Ans:(b)Perimeter 10 cm 10 cm 8 cm 8 cm 5cm 5 cm 46 cmAns: 46 cm5

ANSWER GUIDE45.SEA Mathematics Practice Tests(a)Method 1Total number sneakers icons 7 6 2 4 5 8 32(b)Method 1Number of pairs of socks handedout that week Number of icons x 3 96 pairs of socksNumber of sneakers icons onThursday 4Method 2320 pairs of sneakers 10 32Number of pairs of socks handedout that week 32 x 3 96 pairs of socksAns: 96 pairs of socksPercent of the pairs of sneakers thatwere sold on Thursday4 1 1001 x 12 %32 81 Aleph EducatorsTEST 12Method 2Total number of pairs of sneakerssold (7 6 2 4 5 8) x 10 32 x 10 320 pairs of sneakersNumber of pairs of sneakers sold onThursday 4 x 10 40 pairs of sneakersPercent of the pairs of sneakers thatwere sold on Thursday40 1 1001 320 8 x 1 12 2 %𝟏Ans: 𝟏𝟐 𝟐 %TEST 21.SECTION 14.Ans: 9Thousands2.Ans: 2083.75% Ans:𝟑75100when reduced by 25 TensOnes2295Hundreds digit is less than 5 so, thethousands digit remains the same.Ans: 2 000020816648Hundreds35.7.00 3.853.15Ans: 3.156.72 7 x 7 4949 – 23 26Ans: 264𝟒6

ANSWER GUIDE7.16SEA Mathematics Practice Tests 2314.Hamza took less time and finishedfirst.Ans: Hamza15.16 23 x 6 138Ans: 138 Aleph EducatorsTEST 268.Use inverse operations.6 x 7 4242 – 6 36Ans: 369.1 x 25 25 2 x 10 20 25 20 45 Ans: 3 coins10.1Two 2 turns in an anticlockwisedirection: northMethod 12 12.5031333Ans: north 12.50 2 6.25 6.25 x 3 18.75Method 2212.50 6.25 12.50 3 x1 6.25 x 3 18.75Ans: 18.7516.Ans:17.Ans: B18.Goals scored by teams A, B, D and E (3 5 2 4) x 2 14 x 2 28Goals scored by team C 38 – 28 10Ans: 1019.The sum of items Mean x Number of items 42 x 6 252Ans: 25220.The most frequent shoe size ormode is 4.Ans: 432 111.1 kg 1000 g5.6 kg x 1000 5 600 gAns: 5 600 g12.The triangle is an isosceles triangle.Combined length of the two equalsides 12 cm x 2 24 cmLength of side A Perimeter – 24 cm 32 cm – 24 cm 8 cmAns: 8 cm13.turn in a clockwise direction:north4Length of side Area 121 cm2 11 cmAns: 11 cm7

ANSWER GUIDE21.3535SEA Mathematics Practice TestsSECTION 226.3 106 10Fraction of allowance spent onlunch and snacks639 10 10 10Fraction of allowance saved1091 – 10Ans:22.10𝟏27. Aleph EducatorsTEST 2Use inverse operations.188 – 67 121(N represents the number)N2 121N 121 11Ans: 11Principal 4 80010Rate 10% 100 2𝟏𝟎475 19 25 studentsAns: 25 students125years 2 yearsSimple Interest Principal x Rate x Time 4 800 x 10 x 523.24. A C 5105 210210 2 14Ans:25.Amount to repay Principal interest 4 800 1 200 6 000Ans: 6 000.00B (A C) 215 510310x12 510520 48 24 x 10 x 5 100 x 2 2 1 24 x 10 x 5 240 x 5 1 200 interestFirst number 9 x 2 18Second number sum – 18 54 – 18 36Ans: 18 and 36A 30Time 30 months 12 months10when reduced by28.Cost of flour 87 – 29 58Ans: 58.0029.Number of red pens 86 – 37 blue pens 49 red pensNumber of pencils 49 x 2 98 pencilsAns: 98 pencils30.Profit𝟏𝟒Area of square side x side 6 cm x 6 cm 36 cm2Area of rectangle length x breadth 12 cm x 3 cm 36 cm2Ans: 36 cm2The square and rectangle have thesame area because the length ofthe rectangle is twice the side ofthe square and the breadth of therectangle is half the side of thesquare.25 1 1260 100 4 x 1 1260 4 315Selling price of bicycle 1 260 315 1 575Ans: 1 575.008

ANSWER GUIDE31.32.33.34.SEA Mathematics Practice TestsCubic metres m3Volume Length x Width X Height 6 m x 2 m x 3 m 36 m31 cubic metre 1000 litres 36 m3 x 1000 36 000 litresAns: 36 000 litres14 7 214 limes are sold for 20 x 2 40Cost of apples Total cost – cost of limes 120 – 40 80 80 20 apples 4 per apple 20 4 5 applesAns: 5 apples1 km 1000 mDay 2 3.75 km 3 km 750 mTotal distance covered sum of the3 dayskmmDay 12250Day 23750Day 3 3500 18 15009500Ans: 9 km 500 mLength of fencing wire perimeter of the field36.Ans: It is a cube with 12 edges, 6faces and 8 vertices.37.Ans:38.Car 14Bus 12Number of students who walk andcycle 40 – (14 12) 40 – 26 14 studentsWalk and cycle separately 14 2 7 studentsAns:39.Score after 3 matches averagescore x number of matches 45 x 3 135 runsScore after 4 matches averagescore x number of matches 60 x 4 240 runsLength of sides included in diagram:16 m 8 m 2 m 3 m 29 mLength of sides not included indiagram16 m – 2m 14 m8m–3m 5mNumber of runs made in the 4thmatch 240 – 135 105 runsAns: 105 runsLength of fencing wire 29 14 m 5 m 48 mAns: 48 m35. Aleph EducatorsTEST 2Ans: A half turn9

ANSWER GUIDE40.SEA Mathematics Practice Tests Aleph EducatorsTEST 2Day 3 10050% bonus on Day 350 100 x 1001 50Money earned for Day 3 100 50 150Money earned for the 4 days 85 95 150 75 405Ans: 405.00.On Day 3 Nicholas did the mostamount of work because he earnedthe most Money plus received a50% bonus.41.SECTION 3Number of mangoes Dwayne picks43. 300 120 420 mangoesNumber of boxes Alex used 300 50 6 boxesHalf the distance 40 2 20 mNumber of boxes Dwayne used 420 60 7 boxesNumber of days to walk 320 m 320 m 20 m 16 daysAns: 16 daysDifference in the number of boxespacked 7 – 6 1 boxAns: 1 box42.Perimeter (length x 2) (width x 2) (12 m x 2) (8 m x 2) 24 m 16 m 40 m44.Ans:Name of Shape1Discount 20% 51Discount 5 1 x 4000 8001Quadrilateral 800PentagonPrice of stove after discount 4 000 – 800 3 2001Hexagon112 2 % 8V.A.T. on stove13200 400 8 1 x 4001Octagon.Jahfari paid 3 200 400 3600Ans: 3 600.0010RegularShapeIrregularShape

ANSWER GUIDE45.SEA Mathematics Practice Tests(a)Number of children who favouredthe other 3 colours 20 10 40 70Number of children who favouredorange 100 – 70 30Ans: Aleph EducatorsTEST 2(b)Method 1Percent of children who favoured40green 100 40%Method 2Percent of children who favoured40100green 100 x 1 40%Ans: 40%TEST 3SECTION 16.1.HundredsTensOnes848857960855Ans: 960, 857, 855, 8482.Down payment25 18000 100 4 x 1 8000 4 2000Ans: 2 000.003.38x1001 𝟏30081 37 %7 x 10 70 4 x 5 20 70 20 90 Ans: 90 5.3.00– 0.162.84Ans: 2.84220 45 117.xAns: 88.Number of green pimentoes3080 100 x 1 3 x 8 24 greenpimentoesAns: 24 green pimentoes9.321413 2x4 8months 4 1134monthsx 1 13 weeksAns: 13 weeksAns: 𝟑𝟕 𝟐 %4.Selling price cost priceAns: Profit4 110.118 28 36 36 6Ans: 6

ANSWER GUIDE11.14SEA Mathematics Practice Testsx 60 minutes 15 minutes14.Length of the cuboid 5 cm x 2 10 cmVolume of the cuboid L x W x H 10 cm x 5 cm x 2 cm 100 cm3Ans: 100 cm315.Ans: C16.Ans: A triangular prism17.Angle Y is 90 , so it is an acuteangle.Ans: An acute angle18.Total of the 2 numbers Mean x Number of items 9 x 2 18Value of the other number 18 – 7 11Ans: 1119.Number of pears 10Number of mangoes 310 – 3 7 pearsAns: 7 pears20.Ans: Friday12 complete 4 turns 15 minutes x 2 30 minutesNew position of the minute hand 10 minutes 30 minutes 40 minutesAns:12.1 000 g 1 kg330 g 330 1 000 0.33 kgAns: 0.33 kg13.Method 1Total length of 2 sides of the square Perimeter 2 48 cm 2 24 cmMethod 2Length of 1 side of a square Perimeter 4 48 cm 4 12 cm Aleph EducatorsTEST 3Total length of 2 sides of the square 12 cm x 2 24 cmAns: 24 cm21.SECTION 222.LCM of 18, 9, 3, 6 1859 218105186 Ans:1018𝟐𝟏𝟖 ,618𝟓𝟗 ,151183 6181818𝟏𝟑12Total cost of all the pens 4.25 x 6 25.50Total cost of all the copy books 94.50 – 25.50 69.00Cost of 1 copy book 69.00 6 11.50Ans: 11.50

ANSWER GUIDESEA Mathematics Practice Tests Aleph EducatorsTEST 323.Use inverse operations.33 – 13 2020 4 5Ans: 527.200 x 0.65 13040300x 1 40 x 3 120100130 – 120 10Ans: 1024.3:20 p.m. expressed in 24-hourclock format hr min3 20 12 0015 2028.Michael: X 10 10Cora: X 10Lorraine: XX X X 10 10 10 150 followersLength of time Avion parked her carin the car park hr min15-1 20 6014 80– 8 306 50 6 hr 50 min.3 X 30 150 followers3 X 150 – 30 120 followersX 120 3 40 followersNumber of followers Michael has 40 10 10 60 followersAns: 60 followers50 minutes is part of an hour, so thelength of time Avion is charged topark her car 7 hoursTotal cost to park the car 7.00 x 7 hrs 49.0029.Change Avion received 100.00 – 49.00 51.00Ans: 51.0025.26.Total number of doors on 4 pallets 30 x 4 120 doorsNumber of days it takes them bothto construct 4 pallets of doors 120 20 6 daysAns: 6 daysPercent of the chocolates each childreceived 100% 8 12.5%Decimal fraction of the chocolateseach child received 12.5% 100 0.125Ans: 0.12530.Discount received Original sellingprice– Reduced selling price 80.00 – 64.00 16.00Discount Ans: 20%16 180 5x1001Number of doors Denzil makes eachday 8 4 12 doorsNumber of doors they makealtogether each day 12 8 20 doorsSum of the 2 known numbers 20 6 26Value of the third number 54 – 26 28328 7x 1 3 x 7 21Ans: 214 1 20%13

ANSWER GUIDE31.SEA Mathematics Practice Tests1 000 g 1 kg400 g 400 1000 0.4 kgWeight of 1 watermelon in kg 3.4 kgWeight of 3 watermelons in kg 3.4 kg x 3 10.2 kg Aleph EducatorsTEST 334.Twenty-five minutes to nine 8:35Time Tony arrived at Maracas hr min8 35 1 109 45 9:45Ans:35.Ans:36.Ans: A square-based pyramid has 1square face and 4 triangular faces,8 edges and 5 vertices.A triangular-based pyramid has 4triangular faces, 6 edges and 4vertices.37.Size of angle of segments on acompass 360 8 45 Number of segments turned first 135 45 3 segmentsNow facing west1x 8 segments 4 segments2Now facing east.Ans: EastWeight of 1 paw paw in kg 5 500 1000 5.5 kgCombined weight of all the items 10.2 kg 5.5 kg 15.7 kgAns: 15.7 kg32.Triangle A is an equilateral triangle.Perimeter of triangle A Side x 3 9 cm x 3 27 cmTriangle B is a scalene triangle.Sum of the 2 known sides 12 cm 10 cm 22 cmLength of the side P 27 cm – 22 cm 5 cmAns: 5 cm33.Length of the sides of each square Area 4 2 cmNumber of small squares Lengthof the rectangle Length of the sideof the square 14 cm 2 cm 7 small squaresAns: 7 small squares14

ANSWER GUIDE38.SEA Mathematics Practice TestsMethod 1Total number of blocks 5 3 2 6 3 1 20 blocks39.Number of blocks representing thefirst 2 months 5 3 8Percent of the buckets of paint soldin the first 2 months8100 5 x 8 x 5 40%20 1ColouredRingPointsAwardedTallyNumberof DartsTotalPointsRed234IIIIIII IIIIIIII II310763028Black40.Method 2Total number of buckets of paintsold (5 3 2 6 3 1) x 10 20 x 10 200 buckets of paintNumber of buckets of paint sold inthe first 2 months (5 3) x 10 8 x 10 80 buckets of paintPercent of the buckets of paint soldin the first 2 months80100 200 x 1 40%Ans: 40%41.Number of darts in the red ring 6 2 3 dartsNumber of points scored in thegreen ring 10 x 3 30 pointsAns:Green1SECTION 3Total number of persons that can beseated at the four-seater table 6 x 4 24 personsNumber of people seated on thetwo-seater tables 34 – 24 10 personsNumber of two-seater tables used 10 2 5 tablesNumber of two-seater tables thatwere not used 8 – 5 3 tablesAns: 3 tables15 Aleph EducatorsTEST 3.Ans: The 2 days that Kevin shouldsell his coconuts are Monday andThursday because those are thedays on which most coconuts weresold.

ANSWER GUIDE42.SEA Mathematics Practice TestsStore ADiscount20600 100 x 1 20 x 6 120.0045. Aleph EducatorsTEST 3(a)Total age of the 3 boys 10 8 8 26 yearsMethod 11of the total age of the boys 104Selling Price after discount Selling Price – discount 600.00 – 120.00 480.00443.of the total age of the boys 10 x 4 40 yearsStore BDiscount35800 100 x 1 35 x 8 280.004Selling Price after discount Selling Price – discount 800.00 – 280.00 520.00Method 2Total age of the boys1104 10 4 1 x 1 40 yearsStore A has the cheaper price.Ans: Store AMark’s age 40 – 26 14 yearsAns:Mark’s age 40 – 26 14 yearsNumber of litres of liquid in thecontainer 300.00 5.00 60 litres1 litre 1 000 cm3Volume of the container 60 x 1 000 60 000 cm3Width of the container Volume of the containerHeight x Length60 000 20x 100(b)Ans: Joe and Colin are twinsbecause they are the same age.60 2 30 cmAns: 30 cm44.(a)Ans: Cube(b)Ans:Numberof FacesNumberof VerticesTypes ofInternal Angles6890 orright-angleinternalangles.16

ANSWER GUIDESEA Mathematics Practice Tests1.Ans: Six Hundred and SevenThousand and Nine2.36 6 65 x 6 30Ans: 303.SECTION 18.9.10.D.P.TenthsHundredths17.38Hundredths digit is equal to or morethan 5 so, the tenths digit increasesby 1.Ans: 17.45.212 43 11xAns:12.5% 1814.Ones95 X 2 190Ans: 190 keychains56 7V.A.T. 8 1 x 1 7Price of shirt V.A.T. inclusive 56 7 63Ans: 63.00Number of tyres on each car 4 1 5 tyresTotal number of tyres 9 cars x 5 tyres 45 tyresAns: 45 tyresTens Aleph EducatorsTEST 4Sum of green, red and blue erasers 6 4 5 15Number of yellow erasers 25 – 15 10Percent of yellow erasers10100 4 25 1 x 1 10 x 4 40%Ans: 40%11. 2 x 4 8 slicesMethod 13.5 – 1 2.5 cmMethod 2Measure the intervals.111 1 2 2 2 cmAns: 2.5 cm or 26.16.75350.25Ans: 50.2512.x7.Pattern:The difference between successivenumbers increases by 0.1.0.3 0.7 1.01.0 0.8 1.81.8 0.9 2.72.7 1.0 3.7Ans: 2.717𝟏𝟐cmThe triangle is an equilateraltriangle.Length of side AC Perimeter 3 39 m 3 13 mAns: 13 m

ANSWER GUIDE13.SEA Mathematics Practice Tests1:25 in 24-hour format hr min12 00 1 2513 2517.Ans: Rectangular based

1 4 1 x 60 15 1 15 high heels Number of high heels and sneakers 15 30 45 shoes Number of sandals 60 – 45 15 sandals Fraction of the shoes that was sandals 15 60 when reduced by 15 1 4 Ans: Ans: 82 600.00 24. Cost of the split peas 8.75 x 3 26.25 Cost of

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