Welcome to my intermediate sample math-trail!
I wanted to give you a mini sample of more complex problems to illustrate that math-trails can be applicable to all ages and levels of mathematics.
I wanted to give you a mini sample of more complex problems to illustrate that math-trails can be applicable to all ages and levels of mathematics.
Let's head back to our original map!
1. If we walked 1000ft down Oxford Street and 2500ft down Linden Avenue, how much distance would we have saved if we cut across the diagonal?
1. If we walked 1000ft down Oxford Street and 2500ft down Linden Avenue, how much distance would we have saved if we cut across the diagonal?
11. If we only have 56 meters of fencing, what is the largest rectangular area that we can enclose?
14. Most of us play the lottery with 49 different balls and 6 balls get drawn, what are the chances of winning the lottery? (hint: figure out the number of combinations and how many times combinations are repeated)
Just for fun, according to space.com you are more likely to die in an asteroid collision in the year 2029 than you are to win the lottery
Just for fun, according to space.com you are more likely to die in an asteroid collision in the year 2029 than you are to win the lottery
9. If it takes 36L of gas to drive for 193km and we are taking 885km trip, assuming the gas is used at the same rate, how much fuel will we need?
10. If your car gets 29km per litre in he city driving and 39km per litre on the highway and you want to bust your friend for driving your car further than they said and it was driven 748km on 104L of gasoline how many kilometers are driven in the city and how many on the highway?
10. If your car gets 29km per litre in he city driving and 39km per litre on the highway and you want to bust your friend for driving your car further than they said and it was driven 748km on 104L of gasoline how many kilometers are driven in the city and how many on the highway?
2. A rectangular parking lot is 50meters longer than it is wide. What are the dimensions of the parking lot if it measures 250meters diagonally.
3. If each side of the Octagon is 6inches what is the total perimeter?
4. What is the total surface area?
5. What is the measure of each angle?
4. What is the total surface area?
5. What is the measure of each angle?
6. If the base of our triangle is 40inches and the height is 80 inches what is the total area of the triangle?
7. If each plant needs a space of 6 x 6 how many plants can we fit into our triangular garden
8.How much dirt would we need to buy to fill our triangular garden?
7. If each plant needs a space of 6 x 6 how many plants can we fit into our triangular garden
8.How much dirt would we need to buy to fill our triangular garden?
12. According to safety laws all ramps for the disabled must be in the form of a right triangle where every vertical length of 30cm has a horizontal length of 366cm. If the ramp measures 366cm horizontally and 30cm vertically, what is the length of the ramp?
13. In a triangular cross section of a roof, the second angle is twice as large as the first, the third angle is 20° greater than the first angle. How large are the angles?
15. If your car travels 23kmph faster than the bus and you travel 467km in the time it takes the bus to travel 370km what is the speed of each vehicle?
16. If this buddha were a real man, what would his dimensions be?
| | Buddha | Enlarged | Average Man |
| Height | 36Inches | 69 Inches | |
| Chest | 18Inches | 44 Inches | |
| Waist | 20Inches | 38 Inches | |
| Hip | 22Inches | 42 Inches |