Math 2014 June hlayiso.com

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION GRADE 8 JUNE COMMON EXAM 2014 SUBJECT : MATHEMATICS TASK 5 : COMMON EXAM TIME : 2 HOURS MARKS : 100 This assessment task consists of 5 pages

Downloaded from hlayiso.com INSTRUCTIONS AND INFORMATION 1. This Question Paper consists of two sections, Section A and Section B. 2. Section A has ten multiple choice questions and Section B has six Questions. Answer Section A on the answer sheet provided (Annexure A). 3. Answer ALL questions from both sections. 4. Write your name on top of all loose pages. 5. Read through the questions carefully and make sure that you allocate enough time for each question. 6. All workings must be clearly shown on the answer sheet unless otherwise stated. 7. It is in your best interest to write legibly and present your work neatly.

Downloaded from hlayiso.com SECTION A (1 × 10) (No calculator may be used in this section) 1. Calculate 30 870 ÷ 49 A. 63 B. 17 C. 630 D. 535 2. The HCF of 30 ; 210 ; 700 is: A: 5 B: 10 C: 15 D. 30 3. The LCM of 3 and 17 is: A: 102 B: 34 C: 51 D: 153 4. 1 1 3 2 Simplify : × + − =… 3 2 4 3 A: 0, 125 7 C: 0,25 1 B: 12 D: 15 5. Calculate: 14 + (-3 – 4) – (-7 + 2) = … A: 30 B: 2 C: 5 D: 12 6. 5(2x−2) Simplify: –4=… 2 A: 5x - 9 B: 10x - 8 C: 5x + 9 D: x – 1 7. Study the sequence and choose the correct answer. 1 ; 4 ; p ; 64 ; t ; … A: p = 8 and B: p = 16 C: p = 6 D: p = 5 t = 108 and t = 256 and t =32 and t = 74 8. 3x Solve for x = -3 5 A: x = 9 B: x = 18 C: x = 5 D: x = -5

Downloaded from hlayiso.com 9. Write down the equationdefining the relationship between the input(x) on the left and output(y) on the right: 3 3y x 5 y= 7 6 9 x A: y = 3x B: y = x - 3 C: y = 3 D: y = 2x – 3 10. The angle marked y is equal to: y 1430 A : 430 B: 370 C: 2170 D: 2270

Downloaded from hlayiso.com SECTION B Question 1 1.1 Divide 6 14436 (3) 1.2 Simplify : 1 (4) 1.2.1 0, 12(3 + 3) ÷ (1, 35 + 0, 65) 1.2.2 (3 8  16 ) ÷ 9 (3) 1.3 Suppose the temperature is -140C and it then rises by 50C. What is the temperature now? (2) [12] Question 2 2.1 The ratio of women engineers to men engineers in a construction company is 3:8. There are six women engineers. How many men (4) engineers are there? 2.2 The cost of breakfast cereal is R35 for 1 kg. Calculate how much 25 g (3) of breakfast cereal will cost. 2.3 Study the following pattern: 2 ; 5 ; 8 ;------ ; ----- 2.3.1 Complete the pattern. (2) 2.3.2 Determine the rule for the pattern in the form T n = ……. (3) 2.3.3 Use the rule in 2.4.2 to find the 15th term of the pattern (3) [15]

Downloaded from hlayiso.com Question 3 3.1 The price of a calculator is R125, but there is a discount of 30 % (2) advertised. What will you have to pay for the calculator? 3.2 Study the table below and answer the questions that follow. Currency Rand/Dollar Rand/Pound Exchange Rate 10,46 13,14 3.2.1 An English tourist visit South Africa and exchange her £2000 for Rands. How many Rands will she get? (3) 3.2.2 If you visited America and exchange R6000 for dollars, how much in dollars will you get? (3) Calculate the interest you will get after 3 years when you invest 3.3 R10 000 at a rate of 12 % simple interest per year. (4) 3.4 A lounge suit is priced at R7 500 at a furniture store. Mr Morris buys the lounge suit on a hire purchase scheme. He pays 10 % deposit and decides to take a repayment option of R350 per month for 24 months. (4) Calculate the total amount he would pay for the lounge suit. [16] Question 4 4.1 Write the following in scientific notation. 4.1.1 23000000 (1) 4.1.2 0,000725 (1)

Downloaded from hlayiso.com 4.2 Simplify. 4.2.1 ( xy 2 ) 3 (3) x3 y 4 4.2.2  12a 2 b 3  8a 3 b 2  6a 2 b 4 (4) 2a 2 b 2 4.3 Simplify 4.3.1  2a(a  d )  2d (2a  3d ) (3) 4.3.2 6a  12b 4a  16b  2 2 (4) [16] Question 5 5.1 Solve the following equations. 5.1.1 4 x  3x  5  0 (2) 5.1.2 6 x  2  4 x  10 (3) 5.1.3 4x  1 (4) 5 3 5.2 Calculate the output values of y. (4) x y -2 -3 y =2(x – 3) -6

Downloaded from hlayiso.com 5.3 Christina buys three DVDs. Two of the DVDs cost x + y. The third DVD (3) costs double this amount. Write an expression that shows the amount the three DVDs cost altogether. [16] Question 6 6.1 Find the sizes of the angles marked i, h and j with reasons. (6) A 550 C 620 i D h j B C 6.2 Find the sizes of the angles marked x and y with reasons. (4) F G 400 600 K 400 x y 200 L 800 z M

Downloaded from hlayiso.com 6.3 Study the triangles below and state why the triangles are similar. (2) A D 780 800 x 3cm y 780 F 6cm 800 3,75cm B 4cm C E 6.4 The two triangles are congruent. Find the lengths of the sides marked x (3) and z with reasons. 580 x 320 10cm Z y 320 15cm 580 . [15] GRAND TOTAL = 100

Downloaded from hlayiso.com FORMULA SHEET Simple Interest: Compound Interest: 𝑃𝑟𝑛 𝐼 = 100 𝐴 = 𝑃(1 + 𝑖)𝑛 𝐴 = 𝑃(1 + 𝑖𝑛) 𝑟 𝑛 𝐴 = 𝑃(1 + ) 100 𝑟𝑛 𝐴 = 𝑃(1 + ) 100 Perimeter Area Square 4(𝑙) 𝑙2 Rectangle 2(𝑙 + 𝑏) 𝑙×𝑏 Circle 2𝜋𝑟 𝜋𝑟 2 1 Triangle (𝑠1 + 𝑠2 + 𝑠3) 𝑏 ×⊥ ℎ 2 Parallelogram 2(𝑏 + 𝑙) 𝑏 ×⊥ ℎ 1 (𝑎 + 𝑏) ×⊥ ℎ Trapezium Sum of the 4 sides 2 a and b = parallel lines Rhombus 4𝑙 𝑏 ×⊥ ℎ 2(𝑎 + 𝑏) 1 Kite a and b = length of × 𝑑1 𝑑2 2 equal sides d1 and d2 = diagonal

Downloaded from hlayiso.com MATHEMATICSJUNE EXAMINATION 2014 GRADE: 8 Annexure A Name: _________________________ Class: _________ Section A Marks: ___ 10 Circle the letter of the correct answer. Submit this with your answer sheet. Question Answer 1. A B C D 2. A B C D 3. A B C D 4. A B C D 5. A B C D 6. A B C D 7. A B C D 8. A B C D 9. A B C D 10. A B C D

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