EC ORT Maths Grade 8 June 2024 QP and Memo

Testpapers.co.za y Province of the EASTERN CAPE EDUCATION I I ! ! I I i] I 1 1 I i] I 1 I I 1 I U / ; . THEMATICS TROL TEST 2024 dH 1 \ 7 N TIME: 15 HOURS TOTAL: 60 NAME OF LEARNER: GRADE 8:____ Question number 1 2 3 4 5 6 re 8 Total Total marks 5 7 7 8 9 8 4 12 60 Learner marks Moderated marks INSTRUCTIONS: GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 1

Testpapers.co.za 1. This question paper consists of 10 pages and 8 questions. 2. Section A consists 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 decimal places, unless stated otherwise. SECTION A: MULTIPLE CHOICE QUESTIONS QUESTION 1 GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 2

ct Nesipepere.cotza a ron 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) 10000 B) 5500 C) 2500 D) 7500 1.3. Calculate : (1) —18+ 6-10 A) 34 B) 2 C) -22 D) 22 (1) 1.4. The rule for the input and output values that are represented in the flow diagram below is... 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. GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 3

Testpapers.co.za The correct algebraic expression is ... A)—y —3y B)| 3 -y GhTy -3 D)> 3y -y (1) [TOTAL: 5] ANSWER SHEET CIRCLE YOUR ANSWERS FRO A IN THE GRID BELOW AS SHOWN IN THE EXAMPLE: c D c D c D 1.3. A B c D 1.4, A B c D 1.5. A B c D Subtotal Question 1= [5x1] ae" GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 4

SE Testpapers.co.za a ISHIPS QUESTION 2: WHOLE NUMBERS 2.1. State whether each of the following statements is true or false. 0 +86 = 86 +0 (1) 2.2 Simplify the following. Show all your calculations. (15+ 20)+7-2 2.2 (2) 2.3. Thabo ,Silas and Jacob decide to share the amou R1500 for the work that they did. They 5:4 respectively. How much of mone’ 23 (3) [TOTAL: 7] QUESTION 3: INTEGERS 3.1 State whether each of the following statements is true or false. (1) (1) (2) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 5

Testpapers.co.za 3.3 The sum of two numbers is -2. Their product is -24. What are the two numbers? Show all calculations. 3.3 (3) [TOTAL:7] QUESTION 4: COMMON AND DECIMAL FRACTIONS 4.1. Simplify the following. | I lations 9,2 } 4.1.1 (3) 4.1.2 7,86 + 3,7- 4,999 4.1.2 (2) 4.2 Elvis spends ma of his pocket money on chewing gum, 0,546 of his pocket money on a pair of shoes and 28% of his pocket money on a present for his mom. If Elvis gets R300 for pocket money, what percentage of his pocket money does he have left? 4.2 (3) [TOTAL:8] aaa" GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 6

Q Testpapers.co.za 5.1. Match column A to column B. Write your answer in the answer column provided. Column A Answer Column B 5.1.4 | 67 5.1.1 (2?) x (27) x (2?) Fv oy 3B 5.1.2 (2 * 3)ox% (2 * 3) (2) 5.2 Simplify the following. Show all your calculations. 5.2 (3) 5.3. Jolene remembers her teacher saying: “When you divide powers, you subtract the exponents”. 4 Jolene simplified = as follows: m 4 m 4-6 m “2 wn on 5.3.1. Why is Jolene’s answer incorrect? 5.3.1 (2) 5.3.2 Provide the correct answer for x 5.3.2 (2) [TOTAL: 9] aN" GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 7

SE Testpapers.co.za 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. a Oo Op ist pattern UU 2nd pattern LJ 3rd pattern (2) 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 (3) 6.1.3 Which pattern number will be made up of 1025 squares? 6.1.3 (3) [TOTAL: 8] aN" GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 8

Ql Testpapers.co.za 7.1 Consider the equation and the corresponding table below: y= x? +2 Input number (x) 1 2 3 b Output number (y) a -2 -7 - 34 Complete the table by writing down the values for a and b . FA b= (4) [TOTAL: 4] ing expression: 2a —4a*-8a 8.1.1 Are the terms 2a and —8a like or unlike terms? Provide a reason for your answer. 8.1.1 (2) 8.1.2 Write an equivalent 8.1.2 (2) 8.1.3 Determine the value of the e press 8.1.3 : (3) TS GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 9

Testpapers.co.za 8.2 Simplify the following expressions fully. 8.2.1 (—x)? + b—x? — VBP 8.2.4 (2) 8.2.2 8.2.2 (3) [TOTAL:12] GRAND TOTAL: 60 GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 Page 10

Testpapers.co.za Province of the EASTERN CAPE EDUCATION one eee eee ee ee eee enn-------, Sa me? ¢ ! N, TIME: 1, HOURS TOTAL: 60 [5] SECTION B GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 MEMORANDUM Page 1

Testpapers.co.za UESTION 2: QUESTION ANSWER ALLOCATION OF MARKS MARKS 2.1 False VA True VA 2) 22 (45+ 20)+7-2 YM 35 +7-2 : . VA (3) =335 +7-2 =5-2 = 3 —_ (2) 2.3 of M R1500 Total number of pa 15 15 R1 —_ = R100 ; v Silas will receive 5 M 5 x R100 ¥ CA R500 (3) [7] QUESTION 3: 5S | True VA (2) True YA 3.2 (-14+5) x -8 ae oe =-9x -8 VA72 =72 (2) 3.3 —6and 4 JV Aone -—6 x 4 = —24 and-6+4= -2 YM -6 xX 4 = —24 and -6+4= -2 (3) [7] QUESTION 4: GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 MEMORANDUM Page 2

Testpapers.co.za 4.1.1. Dun 2, 5 9 4 2x5 15x3 wt 374s VAM Be 5x3 IP.. 2-23 15 3 #5 t9 x 2s 15083 15° 3x5 5x3 ¥CA-112 T 9 10 45 15 =75+ 15 15 Accept = as Q does not _9+10-45 specify mixed number as 7 15 answer _9+10—45 7 15 _ -26 ~ 15 = afi eh =-15 (3) 4.1.2. 7,86 + 3,7- 4,999 v A6561 = 6561 ¥ A6,56 rounding as per QP = 6,56 original instructions (2) 4.2 21 vYM oon Total used = R31,50 + R163,80 neeeote + R84,00 28% of R30 Total d=R noo Y M Total left = R279,30 = R300 — RR 279,30 Total left = = R20,70 = R20,70 left =o x 100 = 69% “CAS 60% 2" R300 oe OR 21 9 =~ x 100 = 10,5% ¥ 10,5% = Y 54,6 % 546 xX 100 = 54,6% 1000 a 28% Given (3) GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 MEMORANDUM Page 3

Testpapers.co.za «. Left = 100 — 10,5 — 54,6 — 28 CA Y 6,9% =6,9% [8] QUESTION 5: Set Ge X'3) xX (2x3) vA (1) 512. (2?) x (22) x (2?) vA =) (1) 5.2 Vi27—2 x( vv M5 x25 = Vi25 x25 v CA 125 =5x25 =125 (3) The exponent rule at if SH . mae are dividing exponents of the same base olan then the powers can be subtracted. Here the bases are not the same so the powers cannot be subtracted. (2) 53.2 |m* VA n& (2) [9] UESTION 6: 6.1.1 Tn =4n—3 Vanv —3 (2) Tn=4n-3 “ v 6.1.2 T, = 4(6) —3 CA formula =24-3 v substitution = 21 YCA = 21 (3) Tn=4n—-3 v 6.1.3 1025 = 4n—3 CA formula 1025+3 ¥ substitution —=— 7 4 ¥CA =257 n= 257 (3) [8] QUESTION 7: GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 MEMORANDUM Page 4

Testpapers.co.za = -(1)7+ 2 a v. 7.1 44 2 substitution =1 VA1 =x? +2= -34 ; 134-2 = <2 ¥ substitution =36 = —x? ¥A6or-—6 36 = x? “x =b=60r—6 (4) [4] QUESTION 8: 8.1.1 Like terms. The v like terms are the same for | Y explanation (2) 8.1.2 2a — 4a? -8a vVA =-6a —4a* (2) 8.1.3 —6a — 4a” Y substitution = —6(-1) — 4(-1)? YM =6-4 ¥CA2 =2 (3) reo vv M =x? + b—-x?-b ¥ CAO (2) vv M=-18a+12b + 6a-b vCA =-12a+11b (3) [12] GRADE 8 MATHEMATICS JUNE CONTROL TEST 2024 MEMORANDUM Page 5