Grade 8 Practice Test (29 October 2024) - PDF

Grade 8 Practice Test 29 October 2024 Time: 1 hour 15 minutes Marks: 75 marks Instructions: 1. Answer all questions 2. Number your answers correctly 3. Write neatly and legibly 4. Learners may use a non-p...

Grade 8 Practice Test 29 October 2024 Time: 1 hour 15 minutes Marks: 75 marks Instructions: 1. Answer all questions 2. Number your answers correctly 3. Write neatly and legibly 4. Learners may use a non-programmable calculator. Question 1 Simplify the expression: 1.1) 4𝑥 2 - 7𝑥 + 1 − 3𝑥 2 + 8𝑥 − 2 (3) 1.2) -5x (2x -3) (2) 3 1.3) √169 𝑎2 + √64 𝑎3 (3) 10x3 − 4x2 +8x 1.4) (3) 2x 1.5) (5𝑥)3 (2) (13 marks) Question 2 Calculate without using a calculator (show calculation steps) 2.1) -5 –(-3) + (-4 -6)= (2) 2 7 2.2) 3 3 - 12 = (2) 2 5 2.3) 1 3 X 6 = (2) 2 1 2.4) 5 ÷ 2 = (2) (6 marks) Question 3 3.1) The price of petrol is set to increase by 5% next month. If the current fuel price is R9, 00 per liter, what will the new petrol price be next month? (3) 3.2) Mr John buys 48 jackets at R145 each and sells them at R299 each. Calculate the profit he made after selling 48 jackets. (2) 3.3) Calculate the amount that will be in the bank after 4 years if R2500 is invested at 13% per annum simple interest. (3) 3.4) Three friends Ayanda, Jessica and Sharon share R1162 in the ratio 3 : 4 : 7 How much will each person get? (5) 13 marks Question 4 Consider the expression: −8 + 4𝑥 3 − 𝑥 + 5𝑥 2 4.1) Write the expression in descending order of powers (1) 4.2) What is the constant term in the expression? (1) 4.3) What is the coefficient of x? (1) 4.4) How many terms are in the expression? (1) 4.5) Calculate the value of the expression: 4𝑥 2 + 5𝑥 − 3 If x = -1 (3) (7 marks) Question 5 Solve for x: 5.1) 7x – 30 = 4x -6 (3) 𝑥 5.2) -3 = 7 (2) 2 5.3) 𝑥 3 = 64 (2) 5.4) Use the flow diagram below to answer the questions that follow: 2 7 3 2X + 3 a B 13 5.4.1) Calculate the value of a: (1) 5.4.2) Calculate the value of b: (2) (10 marks) Question 6 Given y= 2x +1 Complete the table below: (3) X -1 0 1 y 6.2) Sketch the graph of y= 2x +1 on the grid provided (4) (7 marks) Question 7 Study the following number pattern 3 ; 1 ; -1 ; a ; b a) Write down the values of a and b. b) If Tn = 3n -3 , which term will have a value of 174? Question 8 Use the graph to answer the following questions. 1) What was the total distance of the fun walk? (1) 2) How many minutes did it take Mandy to reach point A? (1) 3) How far did Mandy walk in 100 minutes? (1) 4) Determine Mandy’s average speed in km/hr (2) 5) Mandy completed the walk in 200 minutes. The winner completed the walk in 80% of Mandy’s time. Calculate the winning time. Give your answer in hours and minutes. (2) (8 marks)