GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE

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1 GR 11 - FINL ROUN QUSTIONS GR 11 - FINL RONT VR QUSTION/ VRG 1 Three persons, Mr. X, Ms. Y, and Mr. Z, went fishing. Mr. X caught NO fish, Ms. Y caught five fish, and Mr. Z caught three fish (the fish were exactly the same size). That night they shared the fish equally for dinner. Since Mr. X had not contributed any of the fish, he insisted upon paying R6, 00 for his meal. How much of this money should Ms. Y receive as her share? rie persone naamlik: Mnr. X, Mev. Y en Mnr. Z, het gaan visvang. Mnr. X het geen vis gevang nie, terwyl Mev. Y visse en Mnr Z visse onderskeidelik gevang het (die visse was presies dieselfde grote ). ie vis was met aandete gelykop verdeel tussen die drie. Mr. X dring toe daarop aan, omdat hy niks bygedra het nie, om R6, 00 te betaal vir sy ete. Hoeveel van die geld moet Mev. Y as aandeel ontvang? R4, R, R6, R6, 0 R7, 00 QUSTION/ VRG In PQR, the segment ST is parallel to segment PQ. The ratio of RT to TQ is 1 to. If the area of PQR is 400 square units, what is the area (in square units) of trapezium PQTS? In PQR is die lynstuk ST parallel is aan lynstuk PQ. ie verhouding van RT tot TQ is 1 tot. Indien die area van driehoek PQR 400 vierkanteenhede is, wat is die area (in vierkaneenhede) van trapesium PQTS? 0 S T P Q R Grade 11- Final Round Questions - 007

2 QUSTION/ VRG a 10 If b = ( 6 ) a 10 Gestel b = ( 6 ), where a and b are integers, then b a equals:, waar a en b heelgetalle is. an is b a is gelyk aan: QUSTION/ VRG 4 rectangle is divided into four smaller rectangles. The areas of three of these rectangles are 6cm, 1cm and cm, as shown. What is the area of the shaded rectangle? n Reghoek word onderverdeel in vier kleiner reghoeke. ie areas van drie van die kleiner drehoeke is, onderskeidelik, 6cm, 1cm en cm. Wat is die oppervlakte van die grys gebied? 10cm 1cm 14cm 16cm 1cm 6cm 1cm cm QUSTION/ VRG spiral of numbers is created, as shown in the figure, starting with 1. If the pattern of the spiral continues, in what configuration will the numbers 99, 400 and 401 appear? n Spiraal van getalle word gekonstrueer soos aangedui in die figuur. Watter konfigurasies sal die getalle 99, 400 en 401 aanneem in die voortsetting van die spiraalpatroon? Grade 11- Final Round Questions - 007

3 QUSTION/ VRG 6 Harry leaves school at the same time every day. If he cycles at 0 km/h, he arrives home at 4:0 in the afternoon. If he cycles at 10 km/h, he arrives home at :1 in the afternoon. t what constant speed (in km/h) must he cycle to arrive home at :00 in the afternoon? Harry vertrek daagliks op dieselfede tyd per fiets vanaf sy skool. Indien hy teen 0 km/h fietsry, arriveer hy tuis om 4:0 in die middag. Indien hy teen 10 km/h fietsry kom hy om :1 in die middag tuis. Teen watter konstante spoed moet hy fietsry om teen presies :00 in die middag tuis te kom? 16 km/h 1 km/h 1 km/h 1 1 km/h 1 km/h 4 QUSTION/ VRG 7 In right triangle, X = and Y =. XY equals: In reghoekige driehoek is X = en Y =. XY is gelyk aan: Impossible to determine/ Onmoontlik om te bepaal. QUSTION/ VRG There are girls and 6 boys playing a game. How many additional girls must join the game so that of the players are girls? Indien meisies en 6 seuns n spel speel, hoeveel meisies moet aansluit by die spel 99 Grade 11- Final Round Questions - 007

4 4 sodat van die spelers meisies is? 6 7 QUSTION/ VRG 9 In the diagram, it is only possible to travel along an edge in the direction indicated by the arrow. nn studied the figure and determined all the possible routes from to. She selected one of these routes at random. What is the probability that she selected a route which passes throughx? it is moontlik om vanaf na te reis. nn het die skets bestudeer om al die moontlike roetes te bepaal. Sy kies n roete willekeurig. Wat is die waarskynlikheid dat sy n roete sal kies wat deur X sal beweeg? QUSTION/ VRG 10 fish tank, in the shape of a rectangular prism, has a base measuring 0 cm by 40 cm with a height of 0 cm. The tank sits on a horizontal table and is half full of water. If 4000 cm of water is added, what is the new depth of the water? n Vistenk, geplaas op n horisontale tafeloppervlak, is in die vorm van n reghoekige prisma met afmetings van 0 cm by 40 cm en n hoogte van 0 cm. ie vistenk is halfvol. Wat is die nuwe diepte van die water indien 4000 cm water bygevoeg word in die vistenk? 19 cm 1 cm 0 cm cm cm Grade 11- Final Round Questions - 007

5 QUSTION/ VRG 11 If y= a( x ) + c and y ( x )( x b) b is: = represent the same quadratic function, the value of ie vergelykings y= a( x ) + c en y ( x )( x b) kwadratiese vergelyking. ie waarde van b is: = verteenwoordig dieselfde 4 QUSTION/ VRG 1 The function f ( x ) has the property that ( ) ( ) ( ) and y. If f ( 1) = 4, then ( ) f equals: f x+ y = f x + f y + xy, for all positive integers x ie funksie f ( x ) het die eienskap dat ( ) ( ) ( ) heelgetalle x and y. Indien f ( 1) = 4, dan is f ( ) is gelyk aan: f x+ y = f x + f y + xy, vir alle positiewe QUSTION/ VRG 1 If 0% of P equals 0% of Q, then P, as a percent of Q, is given by: Indien 0% vanp gelyk is aan 0% van Q, dan is P, as a persentasie van Q, gelyk aan: 40% 0% 60% 0% Grade 11- Final Round Questions - 007

6 0% QUSTION/ VRG 14 Seven children, each with the same birthday, were born in seven consecutive years. The sum of the ages of the youngest three children is 4. What is the sum of the ages of the oldest three? Sewe kinders met dieselfde verjaarsdag was gebore in sewe opeenvolgende jare. ie som van die ouderdomme van die jongste kinders is 4. Wat is die som van die ouderdomme van die drie oudste kinders? QUSTION/ VRG 1 ( n )( )( ) For how many integers n, with n 0, will the expression 1 n n+ 1 be equal to an integer? ( n )( )( ) Vir hoeveel heelgetalle, n, met n 0, sal 1 n n+ 1 gelyk wees aan n heelgetal? QUSTION/ VRG 16 The graph of the function expressions must be positive? ie grafiek van die funksie die uitdrukkings is positief? y= ax + bx+ c is shown in the diagram. Which of the following y= ax + bx+ c word aangetoon in die skets. Watter een van 6 ac bc ab b c a Grade 11- Final Round Questions - 007

7 QUSTION/ VRG 17 right-angled triangle has sides of length 6, and 10 cm respectively. circle is drawn so that the area inside the circle but outside this triangle equals the area inside the triangle but outside the circle. Which of the following values is the closest to the radius of the circle? n Reghoekige driehoek het sylengtes van 6, en 10 cm onderskeidelik. n Sirkel word so getrek dat die area binne die sirkel, maar buite die driehoek gelyk is aan die area binne die driehoek, maar buite die sirkel. Watter van die volgende waardes is die naaste aan die radius van die sirkel?,,,, 1, 6 7 QUSTION/ VRG 1 Point P is on the liney= x+. The coordinates of point Q are( ; ). If M is the midpoint of PQ, then M must lie on which one of the following lines? Punt P is op die lynstuk y x = +. ie koordinate van Q is ( ; ) is van PQ, dan moet M op watter een van die volgende lynstukke lê?. Indien M die middelpunt 7 y= x y= x y= x 1 y= x+ y= x 7 Grade 11- Final Round Questions - 007

8 QUSTION/ VRG 19 The height, h, in is: ie hoogte, h, van is: 0 60 m QUSTION/ VRG 0 Given that consists of two isosceles triangles - The value of x is: and. Gegee dat bestaan uit twee gelykbenige driehoeke - en. ie waarde van x is: x h N OF QUSTIONS/ IN VN VR Grade 11- Final Round Questions - 007