Friday, November 16, 2007

Problem of the Week #10: November 19th, 2007
submit your solutions by Friday to tubbsjac@nbed.nb.ca

Grade 6: Hay Bales
A farmer has a large field with 12 hay bales in one corner of the field. In the second corner he has one third as many as are in the first corner. In the third corner he has twice as many as are in the second corner. In the fourth corner he has half as many as are in the first corner. If the farmer piles all the hay together in his barn, how many bales of hay would he finally have?

Grade 7: Basket Of Fruit
I have a basket of fruit that contains only bananas, apples and oranges. The basket contains 12 bananas, 6 red apples and 8 green apples. If the total number of pieces of fruit is three times the number of apples in the basket, how many oranges are in the basket?

Grade 8: Speeding By
Two cars are on a collision course -- heading straight at each other. One car is traveling at 50 kilometres per hour and the other at 70 kilometres per hour. How far apart will the two cars be one minute before they collide?

Grade 9: Steel Bridge -
One-sixth of a steel beam of a bridge is located in cement below the bed of a river. Two-fifths of the beam is in the water and 26 metres is located above the water. How long is the steel beam?

Grade 10: Co-ordinate Points

Two points are located on a plane. Point A ( -3, 5) and Point B ( 4, -2). If the two points are connected by a line segment AB, what will be the segment’s length rounded to one decimal place?

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