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4.3Given thatis similar to, calculate the length of side YZ.(4)4.4The diagram illustrates rotation of rectangle ABCD.4.4.1Describe the rotation in words.(2)[16]Grade 8 Mathematics Revision Exemplar PapersPage 33

Question 55.15.2The diagram below represents a doughnut. The radius of the smallercircle is 5cm and the radius of the larger circle is 7cm.5.1.1Determine the area of the smaller circle.(3)5.1.2Determine the area of the larger circle.(2)5.1.3Hence determine the area of the shaded area.(1)The diagram below represents a container with water in it. The diameterof the container below is 11cm and the height of the container is 7cm.FFF𝑐𝑚WATER3cm11𝑐𝑚5.2.1Calculate the volume of the container.(3)5.2.2What is the capacity of the container? (i.e., how much liquid couldit hold if it were filled to the brim.)(2)5.2.3How much water is in the container?(2)Grade 8 Mathematics Revision Exemplar PapersPage 34

Drawn below is a cube. The length of the base is 3cm.5.35.3.1Determine the surface area of this cube.(3)[16]Question 66.1The following are the ages of 25 people who took part in a fun run 34840AgeTallyFrequency10 – 1920 – 2930 – 3940 – 496.1.1Complete the frequency table using the given class intervals on(4)the diagram sheet provided. Use Annexure B provided.Grade 8 Mathematics Revision Exemplar PapersPage 35

6.1.2(5)Draw a histogram, on the diagram sheet provided, to representthe data. Use Annexure C6.2(2)Write down the probability of getting an odd number when you roll a sixsided die.6.3One face of a cube is painted blue, two faces are painted green and threefaces are painted orange. What is the probability that when you roll thecube the following will be on top when it lands?6.3.1Blue(1)6.3.2Green(1)6.3.3Not blue(2)[15]Total : 120Grade 8 Mathematics Revision Exemplar PapersPage 36

FORMULA SHEETSimple Interest:𝑃𝑟𝑛𝐼100𝐴𝑃(1 𝑖𝑛)𝐴𝑃(1 𝑟𝑛)100Area: 1.2.A A l b1bh23.Compound Interest:𝐴𝑃(1 𝑖)𝐴𝑃(1 CI A - PVolume: 1.2. V A r2Grade 8 Mathematics Revision Exemplar Papers𝑟)100V l b h1bh H23. V r2hPage 37

SECTION AName:Marks:Class:(2 10) 20Circle the letter of the correct answer. Submit this with your answer 6.ABCD7.ABCD8.ABCD9.ABCD10.ABCDGrade 8 Mathematics Revision Exemplar PapersPage 38

Annexure AName:Class:OAnnexure BName:AgeTallyClass:Frequency10 – 1920 – 2930 – 3940 – 4950 – 59Grade 8 Mathematics Revision Exemplar PapersPage 39

Annexure CFun Run Race10Number in Age Group987654321010 1920-2930-3940-4950-59Age GroupGrade 8 Mathematics Revision Exemplar PapersPage 40

Grade 8ExaminationExemplar 2MemoGrade 8 Mathematics Revision Exemplar PapersPage 41

SECTION A1.C 2.D 3.C 4.B 5.D 6.D 7.A 8.C 9.C 10.B TOTAL20Grade 8 Mathematics Revision Exemplar PapersPage 42

SECTION BQuestion 11.11.2-2 3(1 – 4) – 2 -4 – 9 -13 3 2 5 (1)3 120 5 R72 2 1205(4) R48 1.3New Price R450,00 75 100 R450,00 0, 7525% 450 R112, 50 OR New price R450 - R112,50 R337, 50 1.4𝐴 R337, 50 (2)𝑃(1 𝑖𝑛) 3 500(1 0,09 4) (3)R4760, 00 1.51.5.112 and 15(2)1.5.2T1 3 3(1)T2 6 3(2)T3 9 3(3) (method)Tn 3n (2)1.5.3T15 3(15) 45 Grade 8 Mathematics Revision Exemplar Papers(2)Page 43

[16]Question 22.1 2( x 1) 2 y 2( 2 1) 2( 3) 6 6 (3) 12 2.2.12.2.22.2.3(15a 24b 13c) (12a 18b 11c) 15a 24b 13c 12a 18b 11c 3a 42b - 24c 6 x 3 15 x3x6 x 3 15 x 3x3x(4)(2) 2x 2 - 5 3x 2 ( x 2) 2 x( x 2 3x)3x 3 6x 2 2x 3 6x 2 5x 3 12x 2 (6)[15]Question 33.1 Solve for x3.1.17 3x 2x 3 3x 2x 3 7 5x 10 x 2 3.1.2(3)10 4(2 x 1) 2(3 x)10 8x 4 6 2x 8x 2x 6 10 4 10x 20x 2 3.1.3(4)1(4)Grade 8 Mathematics Revision Exemplar PapersPage 44

3x 1 2 4 2 23x 1 8 3x 9 x 3 x y 5 3.2x y 25 ORCairo : a Poppie: a 5 y 5 y 25 Together: a a 5 25 2 y 5 252a 202 y 20a 10 y 10 Cairo is 10 and Poppy is 15 years x 10 5(5)x 15 3.3.1x-201y-4 2 5 (3)Grade 8 Mathematics Revision Exemplar PapersPage 45

3.3.22 shape O- /3 2(3)[22]Question 44.1x 1300 1800[Adj. angles on straight line] x 1800 - 1300x 500 y y -200 1300[Ext. angle two opp. int. angles] 2y 1300 2002y 1500 4.2y 750 1(5) 11 0 10 / Grade 8 Mathematics Revision Exemplar Papers(5)Page 46

4.3 10 4.4.1ABCD is rotated 900 counter-clockwise (4)(2)[16]Question 55.1.1Area2 22 (5cm)2 7 22 25cm27(3) 78,6 cm2 OR 25𝜋 cm25.1.2Area2 22 (7cm)2 7 22 49cm27 154 cm2 OR 49𝜋 cm25.1.3154 cm278,6 cm2 75,5 cm2 5.2(2)(1)2h 5.2.122 (5,5cm)2 7cm 722 30,25cm2 7cm7 665,5 cm3 5.2.2Capacity 665,5 1000 0,7 ℓ OR 700 mℓ5.2.3(3)(2)2hGrade 8 Mathematics Revision Exemplar PapersPage 47

22 (5,5cm)2 3cm7 22 30,25cm2 3cm7 285.2cm3 (2)Capacity 0.3 ℓ OR 300 mℓ5.2.4Surface Area 6(3cm)2 6 9cm2 (3) 54cm2 [16]Question 66.16.1.1AgeTallyFrequency10 – 19 920 – 29 430 – 39 540 – 49 7TotalGrade 8 Mathematics Revision Exemplar Papers(4)25Page 48

6.1.2 (1 mark for each bar and 1 mark for titles)Number of RunnersFun run987654321010 – 1920 – 2930 – 3940 – 49Class interval of ages(5)6.26.31 2P(Odd Number) 6.3.16.3.26.3.3P(Blue) (1)1 6P(Green) (2)21 63(1)5 6(2)P(Not blue) [15]Total: 120Grade 8 Mathematics Revision Exemplar PapersPage 49

Grade 8ExaminationExemplar 3Grade 8 Mathematics Revision Exemplar PapersPage 50

MATHEMATICSINSTRUCTIONS1.This Question Paper has two sections, Section A and Section B.2.Section A has 10 multiple choice questions each with 4 possible answers.3.Answer Section A on the mark-sheet provided by circling the letter of the correctanswer (A – D).4.Section B has 9 questions. Answer ALL questions.5.Read through the questions carefully and make sure that you allocate enough timefor each question.6.Show all working unless otherwise stated.7.Round off your answers to two decimal places unless otherwise stated.8.A non-programmable calculator may be used unless otherwise stated.9.Write as neatly and clearly as possible.10.Tear off the answer sheet (Section A) and the grid (Question 5.1.2) fromyour question paper and submit them with your answer book.11.Write your name on each sheet of paper submitted.Grade 8 Mathematics Revision Exemplar PapersPage 51

SECTION AQUESTION 11.Circle the letter of the correct answer from the four possible answers.1.1The HCF of 18 ; 30 and 48 is:A 31.2618B624C27D 14,8 – 2, 042 (1)B 2,420C 2,756D 2,75849 121 1.4A 18(1)B 77C 170D 17If the temperature is 7 0C and then it rises by 15 0C, what will the (1)temperature be?A1.6(1)D 8(1)A 2,381.5C 63 2 1 6 8 4A1.3B 4If22 0CB 22 0CC 8 0CD8 0C(1)3of the 4 500 000 people in a city are between the ages of 15 and 40, how4many people is this?A 3 375 0001.7C 337 500D 33 750 000The number of terms in the expression 2( x y) xy 39 is A 41.8B 281 250B 5C 2(1)D 3Which equation best expresses the statement:(1)“The sum of the squares of t and p is 25”.A 2t 2 p 25Bt2 p 2 25C (t p) 2 25D t 2 p 2 25Grade 8 Mathematics Revision Exemplar PapersPage 52

In ABC below x .1.9(1)A520B3x -150440 CA. 3001.10B. 360C. 370D. 330Six counters in a bag are numbered 3 4 7 9 10 11.(1)One counter is drawn at random from the bag. The probability that the numberdrawn is a prime number is .A16B12C13D46[10]SECTION BQUESTION 22.1Simplify2.1.13125 14(3)2.1.22.1.31 1 1 1 ( )2 4 3 4(4)(–5) – (–8) – (–7) – ( 2)(3)[10]QUESTION 33.1Write 3 540 000 in scientific notation.3.2A mix of peanuts and raisins contains five peanuts for every two raisins.(2)3.2.1Write down the ratio of the peanuts to raisins.(1)3.2.2If the total number of peanuts and raisins in a mix is 84, calculate thenumber of peanuts and the number of raisins in the mix.(4)Grade 8 Mathematics Revision Exemplar PapersPage 53

3.3A car travels a distance of 300 km at an average speed of 65 km/h.How long does it take the car to cover the distance?(3)[10]QUESTION 44.1Mr Catch saves money for his intended relocation to Britain. He keeps himselfupdated with the exchange rates by watching the daily business news on TV. On aparticular day the Rand/ Pound exchange rate was 1 R18, 40. How many pounds(2)will he get in exchange for his savings of R500 000?4.2A pair of jeans priced at R550 is put on sale for 25 % discount. How much is the newprice?(2)4.3Mrs Tate saves a lump sum of R50 000 for her daughter’s university fees. If hermoney is invested for five years on simple interest option of 5 % per annum, howmuch pay-out will she receive at the end of five years?(3)4.4The first four terms of a number pattern is 2 ; 7 ; 12 ; 17 ; 4.4.1Find the next three terms of the pattern.4.4.2Find the general term of the pattern in the form Tn 4.4.3Use your formula in 4.4.2 to find the 11th term in the pattern.(3)(3)(2)[15]QUESTION 55.15.2Study the flow diagram below and answer the questions that follow.-110a172b3135.1.1Calculate the output values a and b.(4)5.1.2Draw a graphical representation of the relation.(3)Thandi cycled from her home to town and back for shopping. On her way back shestops at the filling station to have her bicycle wheels checked. Below is a graphicalrepresentation of her journey.Grade 8 Mathematics Revision Exemplar PapersPage 54

(Distance from home (kilometres)Thandi's journey76543210010203040506070Time (minutes)5.2.1How far is Thandi’s home from town?(1)5.2.2How long was she away from home?(1)5.2.3How long did she stay at the filling station?(1)[10]QUESTION 66.122Add 3x 7 x 4 and 3 2 x x6.2Simplify6.2.12 x(1 x y) x( y 3 2 x)(3)6.2.2(4a 2 )( 3a 3 ) 6a 4(3)12 x 2 4 x 10 x 2 15 x 4x5x(3)6.2.36.3(3)Find the value ofx y if x 2 and y 32 6(3)[15]QUESTION 77.1Solve for x7.1.12x 1 5(3)7.1.23x 2 x 4(3)Grade 8 Mathematics Revision Exemplar PapersPage 55

7.1.37.2x 2 2 3(3)The sum of two numbers is 165 and their difference is 27. Find the numbers.(4)[13]QUESTION 88.1In the diagram below calculate the size of x .x20 060 0(3)8.2Calculate the size of m.TU03550 0mWX(4)Grade 8 Mathematics Revision Exemplar PapersPage 56

8.3Which of the shapes below are similar and which ones are congruent?ABDCEFGH(4)8.4Complete the prove that ABC EDCAB40012C400D̂ . 400E[ .]̂ .[ Vertically opp. angles]̂ .[ Remaining angles] [ .](6)[17]Grade 8 Mathematics Revision Exemplar PapersPage 57

QUESTION 99.1Study the shape below and answer the questions that follow.20cm10cm6cm9cm9.29.1.1Calculate the perimeter of the shape.9.1.2Calculate the area of the shape.(3)(3)Below is a closed rectangular box.2m3m6m9.2.1Calculate the volume of the box.9.2.2Draw a net of the box.9.2.3Calculate the surface area of the box.(2)(1)(3)[12]QUESTION 1010.1Below are marks of a grade 9 class after writing a mathematics test out of 40. Answerthe questions that follow based on the data. All answers must be rounded off to onedecimal place.27 25 27 29 31 24 25 27 28 29 24 26 3028 31 25 25 27 28 28 28 26 28 31 24 3010.1.1Calculate the mean.(2)10.1.2Find the median.(2)10.1.3What is the mode of the data?(1)10.1.4Calculate the range.(2)10.2If the same test could be given to another grade 9 class taught the same wayby the same teacher what mark do you think most learners will get?(1)[8]TotalGrade 8 Mathematics Revision Exemplar Papers[120]Page 58

SECTION AQUESTION 1Name:Class:Marks: 10Circle the letter of the correct answer. Submit this with your answer D6.ABCD7.ABCD8.ABCD9.ABCD10.ABCDGrade 8 Mathematics Revision Exemplar PapersPage 59

Name:Class:QUESTION 55.1.2Submit this with your answer sheets.Grade 8 Mathematics Revision Exemplar PapersPage 60

Grade 8ExaminationExemplar 3MemoGrade 8 Mathematics Revision Exemplar PapersPage 61

MATHEMATICSSECTION AQUESTION 11.1C 1.2D 1.3D 1.4B 1.5C 1.6A 1.7D 1.8D 1.9D 1.10B [10]SECTION BQUESTION 22.1Simplify2.1.13125 5 –141 21 21 1 1 1 ( )2 4 3 42 1 4 3 () 412 42.1.2 (3)31 ( ) 4 12Grade 8 Mathematics Revision Exemplar PapersPage 62

3 12 ( ) 41 (4) 9 2.1.3(–5) – (–8) – (–7) – ( 2) –5 8 7 –2 (3) 8 [10]QUESTION 33.13 540 000 3,54 105 3.2.15:2 3.2.25 2 7(2)(1)5 84 7 60 Peanuts 2 84 7(4) 24 Raisins 3.3dis tan cetimedis tan cetime speed300km 65km / h 4 hours 37 minutes speed (3)[10]QUESTION 44.1He will get500000 18,40 27 173, 91 4.2New price R550 75 100 R412,50 4.3(2)A P(1 in) 50 000(1 0,05 5) Grade 8 Mathematics Revision Exemplar Papers(2)(3)Page 63

R62 500 4.4.122 ; 27 ; 32 4.4.2Find the general term of the pattern in the form Tn (3)d 5T1 2 5(1) – 3T2 7 5(2) – 3T3 12 5(3) – 3 (method)Tn 5n – 3 4.4.3T11 5(11) – 3 52 (3)(2)[15]QUESTION 55.1.1a 3(0) 4 4 b 3(2) 4 10 (4)5.1.2 (y-int) (x-int) (line)(3)Grade 8 Mathematics Revision Exemplar PapersPage 64

5.25.2.16 km (1)5.2.21 Hour 5 minutes/ 65 minutes (1)5.2.310 minutes (1)[10]QUESTION 66.1 7 x 2 3x 4 ( x 2 2 x 3) 8x 2 5 x 7 6.2(3)Simplify2 x(1 x y) x( y 3 2 x)6.2.1 2 x 2 x 2 2 xy xy 3x 2 x 2 4 x 2 xy 5 x 6.2.2(4a 2 )( 3a 3 ) 6a 4 12 a 5 6a 4 2a 6.2.3(3)(3)12 x 2 4 x 10 x 2 15 x 4x5x 3x 1 2x 3 x 4 6.3x y2 3 2 62 62 1 2 21 2(3)(3)[15]QUESTION 7Grade 8 Mathematics Revision Exemplar PapersPage 65

7.12x 1 57.1.12x 5 1 2x 4 (3)x 2 3x 2 x 47.1.23x x 4 2 2x 6 (3)x 3 7.1.3x 2 2 3x 3 2 3 2 3 3x 6 6 (3)x 12 7.2x y 165 ( x y 27)2 x 192 x 96 y 165 96 (4)y 69 [13]QUESTION 88.1x 200 600 x 600 200 8.2x 400 (3)̂ 500 350 1800 (4)̂ 1800 – 850 950 ̂ m 950 8.3AB andFH (4)C D and F H Grade 8 Mathematics Revision Exemplar PapersPage 66

8.4̂ ̂ 400[ Alternate Ls, AB॥DE] ̂ ̂ [ Vertically opp. angles]̂ ̂ [ Remaining angles] ABC EDC [AAA] (6)[17]QUESTION 99.19.1.1Perimeter 10 cm 9 cm 6 cm 11cm 4 cm 20 cm 60 cm 9.1.2(3)Area 10 cm 9 cm 4 cm 11 cm 90 cm2 44 cm2 (3) 134 cm2 9.29.2.1V lbh 6m3m2m (2) 36 m3 9.2.2 (1)9.2.3Surface Area 4(6 cm3 cm) 2(3 cm2 cm) 72 cm2 12 cm2 84 cm2 (3)[12]QUESTION 1010.1Below are marks of a grade 9 class after writing a mathematics test out of 40. Answerthe questions that follow based on the data. All answers must be rounded off to onedecimal place.27 25 27 29 31 24 25 27 28 29 24 26 30Grade 8 Mathematics Revision Exemplar PapersPage 67

28 31 25 25 27 28 28 28 26 28 31 24 3010.1.1Mean 27,35 10.1.2(2)24 24 24 25 25 25 25 26 26 27 27 27 2728 28 28 28 28 28 29 29 30 30 31 31 31Median 27,5 10.1.3Mode 28 10.1.4Range 31 – 24 (2)(1)(2) 9 10.227,5 (1)[8]TotalGrade 8 Mathematics Revision Exemplar Papers[121]Page 68

Grade 8ExaminationExemplar 4Grade 8 Mathematics Revision Exemplar PapersPage 69

INSTRUCTIONS AND INFORMATION1. This question paper consists of 10 questions.2. Answer ALL the questions.3. Use ANNEXURE A provided to answer QUESTION 14. Use ANNEXURE B provided to answer QUESTION 10.2.25. Use ANNEXURE C provided to answer QUESTION 10.46. Ensure that you write your name and class on both ANNEXURE A, B and C tearthem from the question paper and submit it with your answer sheet.7. Clearly show ALL calculations, diagrams, graphs, et cetera which you have used indetermining the answers.8. Answers only will NOT necessarily be awarded full marks.9. If necessary round off your answers to TWO decimal places, unless statedotherwise.10. Diagrams are not necessarily drawn to scale.11. You may use an approved scientific calculator (non-programmable and nongraphical) unless stated otherwise.12. An information sheet with formulae is included at the end of the question paper.13. Write neatly and legibly.Grade 8 Mathematics Revision Exemplar PapersPage 70

QUESTION 1In this question, circle only the correct letter (A–D) next to the corresponding number useANNEXURE A provided to answer this multiple choice question.1.1Which ONE of the following numbers is a composite number?(1)ABC1D10 as the product of its prime factors is:1.2(1)A B10C 0 0D1.3How much VAT is included in?(1)AB0C0D101.4 ( 1)(1)AB1C11DGrade 8 Mathematics Revision Exemplar PapersPage 71

1.51.6In scientific notation 1 0 THOUSAND will be written as:A1B0 1 x 10C1D1101010IncreaseA(1)in the ratio(1)0BCD1.701How many terms in( ) :(1)ABCD1.8A quadrilateral with both pairs of opposite sides parallel and a pair of adjacent sidesequal is a1.9AParallelogramBRhombusCKiteDTriangle (1)(1)ABCDGrade 8 Mathematics Revision Exemplar PapersPage 72

1.10Write the equation defining the relationship between the inputA 1B1and output . (1)CD[10]QUESTION 22.1 Find the following:2.1.1 The HCF of 1 0 and 002.1.2 Sarah givesIf there are, Mpho gives(3)and Jabu givesto buy a packet of sweets.sweets in the packet, how many sweets should each of the get?(3)2.1.3 Simplify the ratio 00(2)2.2 Dineo buys a dining room table and chairs costing00. She pays 10deposit and then makes monthly repayments for years to pay for the dining roomtable and chairs. The shopkeeper charges him 1p.a. interest.2.2.3 Calculate the cost of the dining room chairs and table after the deposit has beenpaid.(2)2.2.2. Calculate the simple interest charged.(2)2.2.4 How much will she pay every month(2)[14]QUESTION 3Simplify the following:3.13.23.3(

Grade 8 Mathematics Revision Exemplar Papers Page 10 Question 4 4.1 Solve for x 4.1.1 4.1.2 3x 6 9 (4) 2(x 4) 2 5 x 1 4.2 (4) Aisha is three years older than Mpho. Together their ages add up to 17 years. How old is Aisha. (4) Study