Gauteng Maths Grade 8 June 2022 QP and Memo hlayiso.com

Downloaded from hlayiso.com GAUTEING PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA EKURHULENI ISTRICT ,-------------- I -----,' I I I I I I I I I I I I I I I I I \ , ___________ ----- "' DATE: 6 JUNE 2022 TIME: 1½ HOURS TOTAL: 60 GRADE 8: Question number 1 2 3 4 5 6 7 8 Total Total marks 5 7 7 8 9 8 4 12 60 Learner marks Moderated marks GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 1

Downloaded from hlayiso.com INSTRUCTIONS: 1. per consists of 10 pages and 8 questions. 2. Section A , . ists of 5 multiple choice questions, answer the questions on the answer sheet provided. 3. Section B and C questions must be answered in the space provided on this paper. 4. Clearly show all calculations. 5. Calculators are allowed. 6. If necessary, round answers off to 2 decimal places, unless stated otherwise. 7. Diagrams are not necessarily drawn to scale. 8. It is in your best interest to write neatly and legibly. GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 2

Downloaded from hlayiso.com SECTION A: MULli - CHOICE QUESTIONS QUESTION 1 Choose the corre - wer. Circle the letter of the correct answer on the ANSWER SHEET provided on page 4. If you want to change your choice, put a cross through the wrong letter and circle your new choice. 1.1. The lowest common multiple and the highest common factor of 27 and 36 are......... A) 27 and 36 B) 9 and 108 C) 108 and 9 D) 36 and 27 (1) 1.2. A factory makes 5 000 cell phones per week. How many cell phones would they make if they increased production by 50%? A) 10 000 B) 5500 C) 2500 D) 7500 (1) 1.3. Calculate : -18 + 6- 10 A) 34 B) 2 C) -22 GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 3

Downloaded from hlayiso.com (1) 1.4. The rule for the input and output values that are represented in the flow diagram below is ... I Rul.c 1 3 s 1l A) output = input - 6 B) output = input + 6 C) input = output-6 D) input = output-6 (1) 1.5. The following verbal expression is given: Subtract a number from the product of 3 and that same number. The correct algebraic expression is ... A) y -3y B) 3 -y C) y -3 D) 3y -y (1) [TOTAL: 5] ANSWER SHEET CIRCLE YOUR ANSWERS FROM SECTION A IN THE GRID BELOW AS SHOWN IN THE EXAMPLE: Example: A C D I I I @ I GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page4

Downloaded from hlayiso.com 1.2. A B C D 1.3. A B C D 1.4. A B C D 1.5. A B C D Subtotal Question 1 = [Sx1] SECTION B: NUMBERS, OPERATIONS AND RELATIONSHIPS QUESTION 2: WHOLE NUMBERS 2.1 State whether each of the following statements is true or false. 0 7 86 = 86 7 0 (1) 10 + (5 + 12) = (1 0 + 5) + 12 (1) 2.2 Simplify the following. Show all your calculations. (15+ 20) 7 7 - 2 2.2 (2) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 5

Downloaded from hlayiso.com 2.3 Thabo ,Silas and Jacob are paid a total of R1 500 for the work that they did. They decide to share the amount in the ratio 6:5:4 respectively. How much of money will Silas receive? Jfr 2.3 (3) [TOTAL: 7] QUESTION 3: INTEGERS 3.1 State whether each of the following statements is true or false. -5 (2 + 1) = ( - 5 X 2) + ( - 5 X 1) (1) xx(-1) = (-l)xx (1) 3.2 Simplify the following. Show all your calculations. ( -14+5) X -8 3.2 (2) 3.3 The sum of two numbers is -2. Their product is -24. What are the two numbers? GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 6

Downloaded from hlayiso.com 3.3 (3) [TOTAL:7] QUESTION 4: COMMON AND DECIMAL FRACTI ONS 4.1 Simplify the following. Show all your calculations. 9 2 5 4.1.1 15+3-25 4.1.1 (3) 4.1.2 7,86 + 3,7 - 4,999 4.1.2 (2) 21 4.2 Elvis spends of his pocket money on chewing gum, 0,546 of his pocket money 20 0 on a pair of shoes and 28% of his pocket money on a present fo om. If Elvis gets R300 for pocket money, what percentage of his po have left? GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 7

Downloaded from hlayiso.com [TOTAL:8] QUESTION 5: EXPONENTS 5.1 Match column A to column B. Write your answer in the answer column provided. Column A Answer Column B 5.1.1 62 5.1.1 (22) X (22) X (22) 5.1.2 20 5.1.2 (2x3)x(2x3) (2) 5.2 Simplify the following. Show all your calculations. �127-2 x(-5) 2 5.2 Solution (3) 5.3 Jolene remembers her teacher saying: "When you divide powers, you subtract the expone ·, 4 m Jolene simplified - 6 as follows: n n6 = -n- = n m4 m 4-6 m -2 GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 8

Downloaded from hlayiso.com 5.3.1 �[Q;� (2) -� J. l 4 m 5.3.2 Provide the correct answer for - 6 n 5.3.2 (2) [TOTAL: 9] SECTION C: PATTERNS, FUNCTIONS AND ALGEBRA QUESTION 6: NUMERIC AND GEOMETRIC PATTERNS 6.1 The pattern below is made using squares. Study the pattern and then answer the questions that follow. 1st pa e 2nd patter 3rd patter 6.1.1 Write down an algebraic rule that describes the number pa 6.1.1 (2) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 9

Downloaded from hlayiso.com LJ 6.1.2 Using your answer from question 6.1.1, determine the number of squares that will make up pattern number 6? 6.1.2 fm!fl� 1/Pifj (3) 6.1.3 Which pattern number will be made up of 1025 squares? 6.1.3 (3) [TOTAL: 8] GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 1 0

Downloaded from hlayiso.com y = -x2 + 2 lnput number (x) 1 2 3 b .� �utput number (y) a -2 -7 F- -34 Complete J!j able by writing down the values for a and b. 7.1 a= b= (4 ) [TOTAL: 4] QUESTION 8: ALGEBRAIC EXPRESSIONS 8.1 Answer the questions related to the following expression: 8.1.1 Are the terms 2a and -Sa like or unlike terms? Provide a reason for your answer. 8.1.1 (2) 8.1.2 Write an equivalent expression for 2a -4a2 -8a 8.1.2 (2) 8.1.3 Determine the value of the expression if: a = -1 GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 11

Downloaded from hlayiso.com (3) 8.2 Simplify the following expressions fully. 8.2.1 8.2.1 (2) 8.2.2 -6(3a -2b) + 6a - b 8.2.2 i� f ;� l (3) [TOTAL:12] GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 12

Downloaded from hlayiso.com GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 Page 13

Downloaded from hlayiso.com GAUTENG PROVINCE EDUCATION REPUBUC OF SOUTH AFRICA RHULENI NORTH DISTRICT MEMORANDUM ----------------------,,: ;�f ------------MATHEMATICS I I :I GRADES :I I I JUNE CONTROL TEST 2022 '�----------------------------------� : : \ I DATE: 6 JUNE 2022 TIME: 1 � HOURS TOTAL: 60 SECTION A QUESTION 1: 1.1. c.., 1.2. o.., 1.3. C"' 1.4. B"' 1.5. o.., [5] GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page 1

Downloaded from hlayiso.com SECTION B QUESTION 2: QUESTION ANSWER ALLOCATION OF MARKS MARKS .� �1,-:;> 2.1 Fals1 ..;A l Tru 1�!L ..;A (2) f (15'FYff + 7-2 ..;M 35 + 7-2 2.2 ..;A (3) =35+7-2 = 5-2 = 3 (2) 2.3 R1500 ..; M Total number of parts is 6 + 5 + 4 = 15 15 R1500 = R100 15 Silas will receive 5 xR100 = R500 ..; M 5 xR100 ..; CA R500 (3) [7] QUESTION 3: 3.1 True ..;A (2) True ..;A (-14+5)x-8 3.2 ..; M -9 X -8 = -9 X -8 ..;A 72 = 72 (2 ) 3.3 -6 and 4 ..;..;A-6 and 4 -6x4 = -24 and-6+4= -2 ..;M -6 x 4 -6, i- �4 and � -2 (3) � ,. ) [7] GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page 2

Downloaded from hlayiso.com QUESTION 4: 4.1.1. _.2_ + 1�� .,,.,,M - + 2x5 9 - - 15x3 -- 15 [fi,�5 15 3x5 5x3 9h � 15 = 1 �l3-5 9 2x5 15x3 =-+ ---- 15 3x5 5x3 9 + 10 45 ..,CA -1.!.l =- --- 15 15 15 15 -26 9 +10-45 Accept as Q does not = 15 15 specify mixed number as 9 +10-45 answer = 15 =--26 15 =-1 .!.l 15 (3) 4.1.2. 7,86 + 3,7 - 4,999 ..,A 6,561 = 6,561 "'A 6,56rounding as per QP = 6,56 original instructions (2) 4.2 21 ..,M of R300 = R31,50 Total used 200 = R31,50 0,546 of R300 = R163,80 + R163,80 + R84,00 28% of R300 = R84,00 Total used = R31,50 + R163,80 ..,M Total left + R84,00 = R300- R R 27 9,30 = R 27 9,30 = R20,70 Total left = R300- R 27 9 ,30 = R20,70 , "CA= 6, 9 R20,70 % left x100 = 6, 9% = R300 (3) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page 3

Downloaded from hlayiso.com OR ..; 10,5% d 2 2 O x1 oo = 1 o,5% ..; 54,6 % 546 ·- 60 : 54I Yo 1000 CA..; 6,9% = 6,9% [8] QUESTION 5: 5.1.1 (2x3)x(2x3) ..; A (1) 5.1.2. (2 2) X (2 2) X (22) ..; A (1) 5.2 �127-2 x(-5) 2 ..;..;M 5 x25 = �125 x25 ..;CA 125 = 5 x25 = 125 (3) 5.3.1 The exponent rule states that if you ..;..;explanation are dividing exponents of the same base then the powers can be subtracted. Here the bases are not the same so the powers cannot be subtracted. (2) 5.3.2 m4 ..;..;A (2) [9] QUESTION 6: 6.1.1 Tn = 4n-3 ..;4n ..; _3 (2) 6.1.2 Tn=4n-3 T 6 = 4(6)-3 = 24-3 ..;substituti , = 21 ..;CA = 21 (3) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page4

Downloaded from hlayiso.com 6.1.3 Tn = 4n-3 �cA formula 1025 = 4n-3 1025+3 �substitution =n 4 �CA = 257 (3) n = r�-W "1� [8] QUESTION 7: M!., 7.1 a= + 2 --:rrY �substitution = -1 + 2 = 1 �A1 -x2 + 2 = -34 -34-2 = -x2 �substitution -36 = -x 2 �A6or-6 36 = x 2 :. x = b = 6 or-6 (4) [4] QUESTION 8: 8.1.1 Like terms. The variables and exponents � like terms are the same for both terms. � explanation (2) 8.1.2 2a -4a 2-8a �� A = -6a -4a 2 (2) 8.1.3 -6a -4a2 � substitution = -6(-1) -4(-1) 2 �M = 6 -4 � CA2 =2 (3) 8.2.1 (-x) 2 + b-x 2 -[b2 �� M =x 2 + b-x 2-b =x2 + b-x 2 -b = 0 (2) �CAO 8.2.2 -6(3a -2b) + 6a - b ��M =-18, if� + 6a-b F;=:::, j = -18a + 12b + 6a -b � = -12a + 11 b �CA = -12a + 11b 1 (3) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page 5

Downloaded from hlayiso.com [12) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2022 MEMORANDUM Page 6