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 Kapa haka festival Travel posters
