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Math 8 Fraction Test review. (I) Block:___________ Name:___Key________ Date:__________________ 1. What multiplication statement is represented in each case, given that a hexagon such as this one: represents one whole. 2. What multiplication statement does each diagram represent? 3. Determine the product using the number lines. Find the product. 4. Determine each product. 5. There are 32 students in a class. Three-quarters of the class takes the bus to school. How many students take the bus to school? Show your work. Ans: 24 students take the bus to school. 6. A team won 5 of the 40 games that they played. How many games did they win? 8 Ans: They won 25 games. 7. Complete the diagrams to determine each quotient. 8. Use a model (diagram) to show how the quotient can be determined. a) If 1 is divided into two equal parts, how large is each part? 3 1 1 1 1 2 3 3 2 6 b) If 1 is divided into two equal parts, how large is each part? 6 1 1 1 1 2 6 6 2 12 c) If 3 is divided into three equal parts, how large is each part? 4 3 3 1 1 3 4 4 3 4 9. One-fourth of a cake is left. Conrad, Angela, and Francine want to share this portion equally. How much of the cake will they each get? 1 1 1 1 3 4 4 3 12 1 Ans: They each will get of the cake. 12 10. Five-sixths of the grade 8 students in a school are taking band. These band students are divided into four equal groups. What fraction of the grade 8 students is in each of these groups? 5 5 1 5 4 6 6 4 24 5 Ans: 24 of the grade 8 students in each of these groups. 11. Determine each product using the rectangles below. 3 1 of the students play hockey. Of these students, are on a “rep” 8 3 team. What fraction of students in Mr. Tsui’s class is on a “rep” team? Show your work. 12. In Mr. Tsui’s grade 8 class, 3 1 1 8 3 8 Ans: 1 8 of the students in Mr. Tsui’s class is on a “rep” team. 13. Complete the table. 14. Jasmine worked 3 Show your work. 15. Evaluate. 1 hours a day for five days. How many hours did Jasmine work altogether? 4 16. When you divide a proper fraction by its reciprocal, is the quotient less than 1, greater than 1, or equal to 1? Use examples in your explanation. 17. When you multiply a proper fraction by its reciprocal, is the quotient less than 1, greater than 1, or equal to 1? Use examples in your explanation.