TEST Chapter 1 Name: _____________________________ Date:_____________________ SECTION 1 Total marks 12 Please circle the appropriate answer 1. Which of the following numbers is a prime number? (1) a. 128 b. 405 c. 999 d. 1579 2. Which of the following numbers is not a prime number? (1) a. 83 b. 199 c. 12342 d. 971 3. One is a prime number (1) a. True b. False 4. Composite number is a number that has only two factors. (1) a. True b. False 5. Prime factorization is the representation of a number as the product of its prime factors. (1) a. True b. False 6. Complete each prime factorization (3) a. 210 = 2*3* _____*_____ b. 910 = 2*_____*______*13 c. 216 = 23 * _______________________ 7. Scientific notation is a way of writing a number as a decimal number between __________ multiplied by a power of 10. (1) a. 1 and 10 b. 1 and 20 c. 10 and 20 d. 1 and 100 Complete the following mathematical statements (3) 8. Xm *Yn = ________________ 9. Xm /Yn =___________________________ 10. (Xm)n =___________________________ SECTION 2 Total marks 38 1. a. Identify the GCF and LCM of 360 and 480. (4) b. Identify 2 common multiples of these numbers (1) c. Identify 2 common factors of these numbers. (1) 2. This line represents the distance from Earth to the star polaris, which is about 252 Km. (2) 0---------------A---------------B---------------C-------D-------252 a. Which letter best represent the distance of 251 Km? Explain your Response. _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 3. A crate contains 12 boxes. Each box contains 12 packages. Each package contains 12 pencils. Express the number of pencils in a crate as a power. How many pencils are in a crate? (2) 4. Calculate each power of 0.1 (3) a. 0.12 b. 0.15 c. 0.17 5. Express the following number in standard form (2) a. 5X107 + 7X106 + 5X105 + 2X104 + 5X100 b. 7X106 + 6X104 + 4X103 + 2X102 + 8X101 6. Express the following numbers in scientific notation. (5) a. 1560000000 b. 5167000001 c. 1243000 d. 10000006 e. 12398000054 7. Elon Musk the CEO of Tesla has assets worth about $22.3 billion U.S. (5) a. What is the amount worth in Canadian dollars? Each U.S. dollar was worth about $1.30 Canadian. b. Express the amount in Canadian dollars using scientific notation. 8. Use the following formula to estimate the time an object takes to fall from each height below. 𝑇𝑖𝑚𝑒(𝑠) = 0.45√𝐻𝑖𝑔ℎ𝑡(𝑚) (3) a. 100m b. 400m c. 900m 9. Evaluate each expression (Please show your work, mention all the steps or marks will be deducted) (8) a. 8.8 ÷ 2.2 × 4 + (6.5 - 2.2 + 2)2 b. [12.52 - (6 +4 - 2)2 ]2 c. 52 – (11 – 7)2 ÷ (10 + 12 ×6) d. 0.45√48 + 1 + 10 × (2.52 − 1) 10. Area of a square is 225cm2 what is the length of one side. (2) BONUS QUESTIONS Each question is worth 5 points 1. The average human body contains about 40 Liters of water. What is the total amount of water contained in the 6.4 billion people in the world? Show each step in your solution. Express your answer in scientific notation. (5) 2. Write an expression that matches each set of instructions. Add brackets if required. a. Subtract 2.5 from 3.75, square this number, and divide by 6 (2.5) b. Divide 12.25 by 0.20, take the square root of the resulted number, multiply it by 5. (2.5)