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Classy flower power The clues
The students at Southlands School loved flowers and logic problems. Each year, the school had a tradition of planting six different types of flowers along its 405-metre boundary line. The school divided that 405 metres into three identical 135-metre parts. Each 48-metre part was divided into identical 10-, 15-, 20-, 25-, 30- and 35-metre sections. The sections were to be planted with roses, tulips, daisies, lilies, pansies and petunias. This year, the honour of planting the sections was assigned to the 5th, 6th and 7th grades. The logic part of the exercise was, the classes had to figure out a way to plant all six sections with all six types of flowers without any class planting the same type of flower in the same length section as another class. Based on the clues, see if you can figure out this year’s planting plan.
1. The 5th graders planted a combined total of 25 metres with roses and tulips. 2. The 5th and 6th graders planted a combined total of 35 metres with daisies. 3. Of course, the 6th graders planted more roses than tulips. 4. The 5th graders planted a combined total of 55 metres of pansies and petunias. 5. The 7th graders planted a combined total of 55 metres of lilies and pansies and, of course, the 7th graders planted more lilies than the 6th graders.
r o e t s Bo r e p ok u S
5th Grade
6th Grade
10 metres roses 15 metres roses 20 metres roses
10 metres roses 15 metres roses 20 metres roses
10 metres tulips 15 metres tulips 20 metres tulips
10 metres tulips 15 metres tulips 20 metres tulips
10 metres daisies 15 metres daisies 20 metres daisies
10 metres daisies 15 metres daisies 20 metres daisies
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Teac he r
The story
7th Grade
© R. I . C.Publ i cat i ons •f orr evi ew pur posesonl y•
25 metres pansies 30 metres pansies 35 metres pansies
10 metres daisies 15 metres daisies 20 metres daisies
o c . che e r o t r s super 25 metres lilies 30 metres lilies 35 metres lilies
25 metres petunias 30 metres petunias 35 metres petunias
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10 metres tulips 15 metres tulips 20 metres tulips
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25 metres lilies 30 metres lilies 35 metres lilies
10 metres roses 15 metres roses 20 metres roses
R.I.C. Publications®
25 metres lilies 30 metres lilies 35 metres lilies
25 metres pansies 30 metres pansies 35 metres pansies
25 metres pansies 30 metres pansies 35 metres pansies
25 metres petunias 30 metres petunias 35 metres petunias
25 metres petunias 30 metres petunias 35 metres petunias
Maths perplexors
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