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1 GRDE - FIRST ROUND QUESTIONS - 0 GRD - EERSTE RONDTE VRE - 0 QUESTION/ VRG s a decimal number, 3,% is equal to: s n desimale breuk, word 3,% geskryf as: 0,03 B 0,3 C 3, D 3, E 3 QUESTION/ VRG a b 0 Eleven consecutive prime numbers add up to 0. What are the values of a and b? Elf opeenvolgende priem getalle se som is 0. Wat is die waardes van a en b? 57 and/ en 0 B 57 and/ en C 53 and/ en 00 D 53 and/ en E None of the above/ Nie een van bogenoemde. QUESTION/ VRG 3 If 0 00 x, what is the value of 0 0? s 0 00 x, wat is die waarde van 0 0? x 0 x B C 0x D 0 x E None of the above/ Nie een van bogenoemde.
2 QUESTION/ VRG How many paths from top to bottom spell the word MNDEL? Hoeveel roetes van bo na onder spel die woord MNDEL? M N N N D D D D E E E L L 0 B 0 C 30 D 5 E QUESTION/ VRG 5 BCD and FHEI are rectangles with DE 5, EC and D. The length of the diagonal EF is: BCD en FHEI is reghoeke met DE 5, EC and D. Die lengte van die hoeklyn EF is: F B D 5 H E G B 0 C 7 D 5 E 6 I C Grade - First Round Questions - 0
3 QUESTION/ VRG 6 How many different pairs xy ; are solutions to the equation x y 0? 3 Hoeveel verskillende pare xy ; is oplossings vir die vergelyking x y 0? B C 3 D Infinitely many/ Oneindig baie. E No solution/ Geen oplossing. QUESTION/ VRG 7 How many black tiles are needed to build the 5 th figure in the following pattern? Hoeveel swart teels word benodig om die 5 de figuur in die volgende patroon te maak? Figure Figure Figure 3 B C 365 D E 5 QUESTION/ VRG The point (3, 5) is reflected about the x -axis to give the point B, then B is reflected about the line y = x to give the point C, and finally C is reflected about the x -axis to give point D. What is the area (in square units) of the quadrilateral BCD? Die punt (3, 5) word gereflekteer om die x -as na punt B, dan word die punt B om die lyn y = x gereflekteer na punt C, en laastens word punt C dan gereflekteer om die x - as na punt D. Wat is die area (in vierkant eenhede) van die vierhoek BCD?. Grade - First Round Questions - 0
4 Y C(-5;3) (3;5) O X D(-5;-3) B(3;-5) 0 B 96 C 56 D 6 E Impossible to determine/ Onmoontlik om te bepaal. QUESTION/ VRG 9 The product of two consecutive whole numbers is p. The square of the larger number minus the smaller number is: Die produk van twee opeenvolgende heelgetalle is p. Die kwadraat van die groter getal minus die kleiner getal is gelyk aan: p B p C p D p E p QUESTION/ VRG 0 xy 3 Let x y. (For example, 3= remainder 5). x y 3 is equal to: If 5x remainder 5, then x x y Laat xy. (Byvoorbeeld, x y aan: 3 3= 3 res 5). s 5x res 5, dan is x gelyk Grade - First Round Questions - 0
5 B C 5 D E 0 QUESTION/ VRG 5 If p p 5, then the value of 3 p p 5p is equal to: s p p 5, dan is die waarde van 3 p p 5p gelyk aan: 3 (Hint/ Wenk: p +p = p p +p ) 5 B 9 C 5 D 5 E 5p 5 QUESTION/ VRG The diagram below is an illustration of a vertical lift bridge positioned over a river. The bridge is made up of two arms, each m in length. To allow ships to pass through the arms E and BK rotate upwards through an angle of with the horizontal. If it is given that the cos, determine the length of B. 3 Die diagram hieronder is n voorstelling van n vertikale hefbrug wat oor n rivier geplaas is. Die brug bestaan uit twee arms, elk m in lengte. Om skepe deur te laat word die arms opwaarts deur n hoek met die horisontaal gehef. s dit gegee word dat cos, bepaal die lengte van B. 3 B θ E θ K 3 B Grade - First Round Questions - 0
6 C 6 D E 30 QUESTION/ VRG 3 6 If 3 5 (n ) 5, then n is equal to: 6 n 6 s 3 5 (n ) 5, dan is n gelyk aan: 6 n 6 3 B 0 C 6 D 3 E 5 QUESTION/ VRG If 30% of P is equal to % of Q, then P, as a percent of Q, is given by: s 30% van P gelyk is aan % van Q, dan is P, as n persentasie van Q, gegee deur: 60% B 0% C 5% D 50% E 0% QUESTION/ VRG 5 three-digit number has 3x as its units digit and x as its hundreds digit. The number is represented by 3x 59. The tens digit (in terms of x ) is: n Drie-syfer getal het 3 x as sy ene-syfer en x as sy honderde-syfer. Die getal word voorgestel deur 3x 59. Die tiene-syfer (in terme) van x is: x 6 B x 5 C x D x 3 E x Grade - First Round Questions - 0
7 QUESTION/ VRG 6 Of the 50 grade learners at a school who wrote an exam, all but 3 wrote one or more of Biology, Geography and Science. 9 wrote Biology, 0 wrote Geography and 5 wrote Science. 5 wrote Biology and Geography, 77 wrote Geography and Science and 67 wrote Science, but not Geography or Biology. If 0 learners wrote all 3 subjects, how many only wrote Biology? Van die 50 graad leerlinge by n skool wat n eksamen aflê, skryf almal, behalwe 3, een of meer van Biologie, ardrykskunde en Wetenskap. 9 skryf Biologie, 0 skryf ardrykskunde en 5 skryf Wetenskap. 5 skryf Biologie en ardrykskunde, 77 skryf ardrykskunde en Wetenskap en 67 skryf Wetenskap, maar nie rdrykskunde of Biologie nie. s 0 leerlinge al 3 vakke skryf, hoeveel skryf slegs Biologie? 30 B C 3 D 0 E 37 QUESTION/ VRG 7 spinner is divided into eight equal regions, labeled one through eight. If Dolly spins the wheel, what is the probability that she will spin a number that is greater than two, but less than six? 'n Draaiwiel word opgedeel in agt gelyke gedeeltes en word genommer van een tot agt. Jane draai die wiel. Wat is die waarskynlikheid dat n nommer groter as twee en kleiner as ses sal realiseer? 7 B Grade - First Round Questions - 0
8 3 C D 6 E QUESTION/ VRG The value of is: Die waarde van is: 5050 B 90 C 950 D 050 E 900 QUESTION/ VRG 9 The roots of the equation px x p 3 0 is in the ratio :. The value(s) of p are: Die wortels van die vergelyking van p is: px x p 3 0 is in die verhouding :. Die waarde(s) B C and/ en 3 D 3 and/ en E 0 and/ en QUESTION/ VRG 0 XYZ is an isosceles right-angled triangle with XY YZ. Two semi-circles, one with diameter XY, and the other with diameter XZ, are drawn. The area of the shaded region is: XYZ is 'n gelykbenige reghoekige driehoek met XY YZ. Twee half-sirkels, een met middellyn XY, en die ander met middellyn XZ, word getrek. Die area van die gearseerde deel is: Grade - First Round Questions - 0
9 9 B C D E END OF QUESTIONS/ EINDE VN VRE Grade - First Round Questions - 0
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