GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE
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1 GRE - FINL ROUN QUESTIONS - 9 GR - FINLE RONTE VRE - 9 QUESTION/ VRG 6 Which of the following is not a factor of x? 6 Watter een van die volgende is nie 'n faktor van x nie? x + x x + x + x+ E x QUESTION/ VRG When a repeating decimal, is written in simplest fractional form, the sum of the numerator and denominator is: Indien die getal, in sy eenvoudigste breukvorm geskryf word, dan is die som van die noemer en deler: E QUESTION/ VRG Solve forx / Los op virx : x x ( 7 ) ( ) = 7 E 6 Grade - Final Round Questions - 9
2 QUESTION/ VRG 4 The numbers a, b, c and d satisfy the following equations. What can be deduced from this? ie getalle a, b, c en d bevredig die volgende vergelykings. Wat kan ons hieruit aflei? a+ b c= d a b+ c= d a+ b c= d a b+ c= d a= b and/en d= b= c and/en a= a= c and/en d= b= d and/en a= E a= d and/en c= QUESTION/ VRG 5 How many blocks of the type shown are required to build a cube with side length 4? Hoeveel van die vorms word benodig om 'n kubus met 'n sylengte van 4 te maak? E It is not possible/ Is nie moontlik nie. Grade - Final Round Questions - 9
3 QUESTION/ VRG 6 If f( x) Indien ( ) x =, x x f x =, x what is the value of 5 f( 5) f( 49) f( ) f( )?? wat is die waarde 5 f( 5) f( 49) f( ) f( ) 8 6 E 4 QUESTION/ VRG 7 The Port Elizabeth Marathon had 9 participants. The number of participants beaten by John was three times the number that beat John. In what position did John finish the marathon? ie Port Elizabeth se Maraton het 'n inskrywingstal van 9. ie getal inskrywings wat na John klaargemaak het was drie keer die getal wat voor hom klaar gemaak het. In watter posisie het hy klaargemaak? E 5 QUESTION/ VRG 8 Mary wrote four tests, each of which is out of 5 marks. Mary's average over the four tests is 4 marks. Which one of the following statements cannot be true? Mary het vier toetse geskryf en elkeen het uit 5 punte getel. Mary se gemiddelde vir die vier toetse is 4 punte. Watter een van die volgende stellings kan nie waar wees nie? Mary obtained a mark of 4 out of 5 in each test/ Mary het 4 uit 5 vir elke toets gekry. Mary obtained a mark of 4 out of 5 twice/ Mary het twee keer 'n 4 uit 5 gekry. Mary obtained a mark of out of 5 once/ Mary het vir een toets uit 5 gekry. Mary obtained a mark of out of 5 twice/ Mary het vir twee toetse uit 5 gekry. E Mary obtained a mark of out of 5 three times/ Mary het vir drie toetse uit 5 gekry. Grade - Final Round Questions - 9
4 QUESTION/ VRG 9 How many positive integers n exist for which n has the same number of digits as n? Hoeveel positiewe heelgetalle n is daar sodanig dat n en n dieselfde aantal syfers het? 4 9 E Infinity/ Oneindig. QUESTION/ VRG n aquarium contains 8 tropical fish of various kinds. If 6 more clownfish were added to the aquarium, the proportion of clownfish would be doubled. How many clownfish are in the aquarium? 'n kwarium het 8 verkillende tipe tropiese visse. Indien 6 meer anemoonvisse in die akwarium gesit word, word die verhouding van hierdie spesie tot die res verdubbel. Hoeveel anemoonvisse is in die akwarium? E 4 QUESTION/ VRG Two candles are the same height. The first takes hours to burn completely whilst the second takes 8 hours to burn completely. oth candles are lit at :. fter how many hours is the height of the first candle twice the height of the second candle? Twee kerse het dieselfde hoogte. ie eerste een neem uur en die tweede 8 uur om uit te brand. eide kerse word om : aangesteek. Na hoeveel ure is die eerste kers se hoogte keer die tweede kers se hoogte? 4 7 hours/ ure. hours/ ure. 6 hours/ ure. 8 hours/ ure. Grade - Final Round Questions - 9
5 E 9 hours/ ure. QUESTION/ VRG circle with radius cm has its radius decreased by 8 cm. y what percentage has its area been decreased? 'n Sirkel het 'n radius van cm. ie radius word verklein met 8 cm. Met watter persentasie het die area afgeneem? 89% 8% 67% 56% E % QUESTION/ VRG Lines and are parallel. What is the value of x in degrees? Lynstukke en is parallel. Wat is x, in grade? 5 E QUESTION/ VRG 4 In a room containing N people, N>, at least one person has not shaken hands with everyone else in the room. What is the maximum number of people in the room that could have shaken hands with everyone else? In 'n kamer is daar N persone met N>. it is so dat ten minste een persoon nie met almal hand geskud het nie. Wat is die maksimum aantal persone wat almal in die kamer 'n handdruk gegee het? N N E N Grade - Final Round Questions - 9
6 QUESTION/ VRG 5 6 Which of the following sets of restrictions is true for the function represented by the graph? fx ( ) = ax + bx+ c Watter een van die voorwaardes stel die grafiek fx ( ) = ax + bx+ c voor? a>, b<, c> a<, b>, c< a>, b<, c< a<, b<, c> E None of these/ Geeneen nie. ;4 ;4 QUESTION/ VRG 6 The sum of consecutive integers is 5. What is the largest integer in the series? ie som van opeenvolgende heelgetalle is 5. Wat is die grootste heelgetal in die reeks? E 4 QUESTION/ VRG 7 If the height of a cylinder is increased by, and the radius of the cylinder is decreased by, 9 what will happen to the volume of the cylinder? Indien die hoogte van 'n silinder toeneem met 'n 9 sal gebeur met die volume van die silinder? en die radius neem af met 'n wat Same as the volume of the original cylinder/ ieselfde as die oorspronklike silinder. Increases by 9 / Neem toe met 'n 9 Grade - Final Round Questions - 9
7 7 ecreases by / Neem af met 'n 9 9 Increases by / Neem toe met 'n E ecreases by / Neem af met 'n QUESTION/ VRG 8 In the diagram, is the bisector of angle the size of ˆ? In die skets is die halveerlyn van hoek is die grootte van ˆ? ˆ. lso, = and =. What is ˆ. Verder is = en =. Wat E QUESTION/ VRG 9 ob and nn leave a campsite, ob biking due north and nn biking due south. ob bikes 7 km/h faster than nn. fter three hours, they are 5 km apart. Find the sum of their speeds at this stage. ob en nn vertrek vanaf hul kampeerplek met hul fietse, hy noord en sy suid. ob ry 7 km/h vinniger as nn. Na ure is hulle 5 km vanaf mekaar. Wat is die som van hul snelhede op hierdie stadium? 9 km/h 7 km/h km/h 7 km/h E km/h Grade - Final Round Questions - 9
8 QUESTION/ VRG The diagram shows a triangle PTU inscribed in squarepqrs. Each of the marked angles at P is equal to. What fraction of square PQRS is the area of the triangleptu? ie diagram toon aan 'n driehoek PTU in 'n vierkant PQRS. Elk van die hoeke by die punt P is. Watter breukdeel van vierkant PQRS stel die area van driehoek PTU voor? 8 E EN OF QUESTIONS/ EINE VN VRE Grade - Final Round Questions - 9
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