2023 Year 8 Mathematics CT1 (1).pdf

Name: School Number: Teacher: Form Teacher: Scotch College Year 8 Mathematics Common Test 1 March 2023 40 minutes writing time 40 marks Notes are not allowed Calculators are not allowed Question 1 (11 marks) Evaluate each of the following: a. 14 + ( − 9 ) 1 mark b. 17 − ( −14 ) 1 mark c. 8 × (− 7) 1...

Name: School Number: Teacher: Form Teacher: Scotch College Year 8 Mathematics Common Test 1 March 2023 40 minutes writing time 40 marks Notes are not allowed Calculators are not allowed Question 1 (11 marks) Evaluate each of the following: a. 14 + ( − 9 ) 1 mark b. 17 − ( −14 ) 1 mark c. 8 × (− 7) 1 mark d. ( − 96 ) ÷ 12 1 mark e. 12 − 5 × 4 1 mark f. ( − 8) − ( − 8) ÷ 4 2 marks g. ( − 4) h. ( 4 − 7 ) × (11 − 16 ) ÷ ( − 3) 2 − ( − 2) 3 2 marks 2 marks Question 2 (9 marks) Calculate each of the following. Ensure that all fractions are fully simplified. a. 4 1 − 7 8 b. 1 3 3 −1 4 8 c. 18 15 × 25 27 1 mark d. 4 5 2 ×2 7 8 2 marks e. 7 14 ÷ 9 3 2 marks 2 marks 2 marks Question 3 (5 marks) Calculate each of the following: a. 6.24 + 12.078 1 mark b. 9.72 − 3.904 1 mark c. 2.3 × 0.65 1 mark d. 3.216 ÷ 0.04 2 marks Question 4 (3 marks) 9 as a decimal. 50 a. Write b. Write 4.64 as a simplified mixed number. c. Write 9 as a decimal. 40 1 mark 1 mark 1 mark Question 5 (3 marks) Round the following to the specified number of decimal places. a. 3.2349 (two decimal places) 1 mark b. 0.0699 (three decimal places) 1 mark c.   (four decimal places) 5.72 1 mark Question 6 (5 marks) a. State all of the factors of 36. 1 mark b. State the first five multiples of 9. (Beginning at 9) 1 mark c. State the lowest common multiple of 8 and 12. 1 mark d. Express 126 as a product of its prime factors in index form. 2 marks Question 7 (2 marks) a. Write down all of the prime numbers between 20 and 35. 1 mark b. Write down all of the multiples of 7 between 20 and 50. 1 mark Question 8 (1 mark) A maths textbook is open at the beginning of Chapter 3. The product of the page numbers is 1640. What page numbers are on the two open pages? Question 9 (1 mark) Twenty four is the smallest whole number that has exactly eight different factors. What is the smallest whole number that has exactly 10 different factors? End of Common Test