GR9 4thQtr SCI RST MAORI ENG MATH NUMERACY SS 4. A recipe calls for 2 cups of flour. If Sarah only has a 31 cup measuring cup, how many times does she need to fill it to get the required amount of flour? 5. A garden hose can fill a pool in 6 hours. If you leave the hose on for 2.5 hours, what fraction of the pool will be filled? 6. John has a collection of 20 marbles, of which 53 are blue. How many blue marbles does John have? 7. A pizza is cut into 8 slices. If Stephanie eats 85 of the pizza, how many slices did she eat? 8. A paint can holds 3 liters of paint. If Maya uses 32 of a can to paint a room, how many liters of paint did she use? 9. Tickets for a school play cost 43 of a dollar for students and 87 of a dollar for adults. Are the student and adult ticket prices equivalent? Why or why not? 10. There are 24 cookies in a jar. If you take out 61 of the 1. Are 83 and 166 equivalent fractions? Explain your reasoning. cookies, how many cookies are left in the jar? 2. Find two fractions equivalent to 125 with a denominator of 24. 3. A rectangular cake is cut into 15 slices. If David eats 5 slices, what fraction of the cake did he eat? Write the answer in Pae 1 lowest terms. 1 GR9 4thQtr SCI RST MAORI ENG MATH NUMERACY SS Questions (Factors and HCF) USE SPACE ON THE RIGHT FOR YOUR SOLUTIONS. 1. Find the prime factorization of 36. 2. List all the factors of 24. 3. Is 7 a factor of 49? Explain your reasoning. 4. Find the HCF (Highest Common Factor) of 18 and 30. 5. What is the greatest common factor of 12 and 42 that can be expressed as a product of prime numbers? 6. Express 70 as a product of its prime factors. Then, find all the factors of 70. 7. Mai baked 24 cupcakes and wants to share them equally with her 3 friends. What is the greatest number of cupcakes each friend can receive? (This relates to HCF) 8. The lengths of two ribbons are 48 cm and 60 cm. What is the greatest possible length that can be cut from both ribbons with no leftover (considering the smallest unit)? (This relates to HCF) 9. List the factors of 35 and identify the prime factors. 10. Rahul has 18 red marbles and 24 blue marbles. What is the highest number of equal groups he can make using all the Pae 2 marbles without any leftover (considering HCF)? 2 GR9 4thQtr SCI RST MAORI ENG MATH NUMERACY SS True or False (Prime Numbers) 1. ________ 1 is a prime number. Converting Fractions, Decimals, and Percentages 2. ________ All even numbers greater than 2 are composite numbers. Part 1: Conversions (2 points each) 1. ________ Write the fraction 53 as a decimal. 3. ________ A prime number only has one factor, 1. 2. ________ Write the decimal 0.75 as a percentage. 3. ________ Write the fraction 81 as a decimal. 4. ________ The sum of two prime numbers is always a prime number. 5. ________ 11 is the only prime number that is a two-digit 4. ________ (Challenge: How can you convert this fraction to a decimal without long division?) Part 2: Word Problems (3 points each) number. 7. ________ Every whole number greater than 1 can be factored into prime numbers. What percentage did she score? ________ 5. A cake recipe requires 1.25 cups of sugar. If David only has a measuring cup that holds 31 of a cup, how many times 8. ________ There are infinitely many prime numbers. does he need to fill it to get the required amount of sugar? 9. ________You can always determine if a number is prime by ________ looking at the last digit. 10. ________ The HCF (Highest Common Factor) of two prime numbers is always 1. 6. Jasmine completed 70% of a 500-meter race. What distance did she cover? ________ 3 number. 4. In a math test, Sarah got 18 out of 25 questions correct. Pae 6. ________ If a number is divisible by 3, it cannot be a prime 3 GR9 4thQtr SCI Deriving Equations (10 Questions) RST MAORI ENG MATH NUMERACY SS Word Problems (4 points each) These questions focus on identifying relationships between variables and writing equations to represent them. 5. The cost (C) of buying apples depends on the price per apple (p) and the number of apples bought (n). Write an equation to represent this relationship. ______________________ Matching (2 points each) 6. The volume (V) of a cylinder is calculated based on the area 1. A car travels a certain distance (d) at a constant speed (s) for a specific time (t). Which equation represents this relationship? a) d = s + t of the base (πr²) and the height (h). Write the equation for the volume. ______________________ 7. Sarah jogs at a constant speed (s) for a certain time (t), b) d = s x t c) d = s / t covering a distance (d). If she doubles her speed while keeping the time constant, what will happen to the distance 2. The area (A) of a rectangle is the product of its length (l) and covered? Explain using the derived equation (d = s x t). width (w). Which equation represents this relationship? ______________________ ______________________ ______________________ ______________________. a) A = l / w b) A = l + w c) A = l x w Fill in the Blanks (2 points each) 3. The perimeter (P) of a square is the total length of its sides. If s represents the length of one side, the equation for 8. A recipe requires 2 cups of flour for every 3 eggs used. Write an equation to represent the relationship between the number of cups of flour (f) and the number of eggs (e). ______________________ ______________________. perimeter is P = ___ s. 9. The average speed (avg_speed) of an object is calculated by interest rate (r) for a time period (t) is calculated using the dividing the total distance traveled (d) by the total time taken formula I = ____________ . (t). Write an equation to represent this relationship. ______________________ ______________________. Pae 4. The simple interest (I) earned on a principal amount (P) at an 4 Challenge (4 points) 4 GR9 4thQtr SCI 10. The Pythagorean theorem relates the lengths of the sides of RST MAORI ENG MATH NUMERACY SS 3. Sharing Cookies (Ratio and Fractions): a right triangle. Let a and b represent the lengths of the two shorter sides, and c represent the length of the hypotenuse (longest side). Sarah bakes 30 cookies. She wants to share them equally with her 2 friends. What fraction of the cookies will each friend receive? Write the Pythagorean theorem as an equation. ______________________ ______________________. Word Problems (Ratio, Percentages, GST) 4. Party Decorations (Percentage and Cost): 1. Mixing Paints (Ratio): For a party, streamers cost ₱25 and balloons cost ₱15. Streamers John needs to mix green and blue paint to create a specific shade. make up 40% of the total decoration cost. How much is the total The ratio of green paint to blue paint should be 3:2. If John uses 12 cost of the decorations? liters of green paint, how many liters of blue paint should he use? 2. Discount and GST (Percentage): 5. Restaurant Bill (Percentage and Tip): A jacket originally costs ₱100. There is a 10% discount on the jacket, but a 12% Goods and Services Tax (GST) is applied to the The bill for a restaurant meal comes to ₱500. You decide to leave a final price after the discount. What is the final price of the jacket? 15% tip for the waiter. What is the total amount you need to pay, Pae 5 including the tip? 5
