Working out ratios II 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about working out ratios. Question 1Change answer a) Last spring a sheep farmer's flock produced 700 lambs. Amongst the lambs, there were 8 ewes to every 6 rams. How many ewes were there? How many rams were there? Question 1Change answer b) 299 children are in the playground. There are 6 boys to every 7 girls. How many boys are there? How many girls are there? Question 1Change answer c) At the market 9000 sacks of vegetables were sold. For every 14 sacks of potatoes sold, 7 sacks of onions and 9 sacks of carrots were sold. How many sacks of each vegetable were sold? Sacks of potatoes Sacks of onions Sacks of carrots Task administration: This task is completed with pencil and paper only. Level: 5 Curriculum info: Maths, Number and Algebra, Number Strategies Keywords: ratios Description of task: Students share total numbers of objects according to some given ratios in a variety of contexts. Learning Progression FrameworksThis resource can provide evidence of learning associated with Multiplicative thinking, sets 8-9 within the Mathematics Learning Progressions Frameworks.Read more about the Learning Progressions Frameworks. Answers/responses: Y9 (05/97) Y10 (05/97) 1 mark (for both correct) a) i) ii) 400 [700⁄14 = 50, 50 × 8 = 400] 300 [700⁄14 = 50, 50 × 6 = 300] very difficult very difficult moderate moderate 1 mark (for both correct) b) i) ii) 138 [299⁄13 = 23, 23 × 6 = 138] 161 [299⁄13 = 23, 23 × 7 = 161] very difficult very difficult difficult difficult 1 mark (for all 3 correct) c) i) ii) iii) 4200 [9000⁄30 = 300, 300 × 14 = 4200] 2100 [9000⁄30 = 300, 300 × 7 = 2100] 2700 [9000⁄30 = 300, 300 × 9 = 2700] very difficult difficult Working with ratios Ratio of this to that Working out ratios White and brown eggs Football wins School camp Holiday work Recipe ratios Movie ratios Travel posters
