1.
A ranger station has 74 trail maps to hand out in bundles of 8. How many complete bundles can be made, and how many maps are left?
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Answer:
Did you know? Yellowstone was the first national park anywhere in the world, created in 1872.
2.
66 campers need tents, and each tent sleeps 7. Everybody needs a spot. How many tents are needed, and how many campers are in the last tent?
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Answer:
Did you know? A bison can weigh a ton and still outrun a person — they hit 35 mph.
3.
A visitor centre had 415 postcards, sold 187 over the weekend, then received a delivery of 130. How many postcards now?
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Answer:
Did you know? The Grand Canyon is a mile deep, and the rock at the bottom is about 1.8 billion years old.
4.
A trail crew works 9 sections and clears 6 fallen trees from each. A storm then drops 14 more trees across the trail. How many trees is that in total?
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Answer:
Did you know? Some giant sequoias were already big trees when the Roman Empire fell.
5.
A shuttle carries 52 hikers in vans that hold 6 each. Every hiker must get a ride. How many vans, and how many hikers ride in the last van?
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Answer:
Did you know? Park shuttles exist partly because car exhaust was fading the rock colours in some canyons.
1.
A hiking trail is 7/8 of a mile. Yusuf walks 1/3 of a mile before stopping for water. How much of the trail is left?
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Answer:
Did you know? The Appalachian Trail runs about 2,200 miles — most people who try to walk all of it don't finish.
2.
Rangers clear 2/5 of a trail on Monday and 1/4 of it on Tuesday. What fraction is cleared, and what fraction is still blocked?
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Answer:
Did you know? A single fallen sequoia can take a crew days to cut through, so most trails route around them instead.
3.
A water tank at a campsite is 5/6 full. Campers use 3/8 of a full tank overnight. What fraction is left in the morning?
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Answer:
Did you know? Backcountry water has to be filtered even when it looks clear — the thing that makes you sick is usually invisible.
4.
A park is 3/4 forest. Of the whole park, 1/6 burned in a fire. If all the burned land was forest, what fraction of the park is forest that did not burn?
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Answer:
Did you know? Some pine cones only open and release their seeds after a fire, so the forest replants itself.
5.
Aisha fills 1/2 of her backpack with food and 2/5 of it with gear. What fraction is full, and what fraction is still empty?
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Answer:
Did you know? The old rule is to carry no more than a fifth of your body weight — most first-time backpackers carry far more.
3rd Grade
1. 9 bundles, 2 maps left.
74 ÷ 8 = 9 r 2. Complete bundles → 9, with 2 spare.
2. 10 tents; 3 campers in the last.
66 ÷ 7 = 9 r 3. Everyone needs a spot → 10 tents, last holds 3.
3. 358 postcards.
415 − 187 = 228. Then 228 + 130 = 358.
4. 68 trees.
9 × 6 = 54 cleared. Then 54 + 14 storm trees = 68.
5. 9 vans; 4 hikers in the last.
52 ÷ 6 = 8 r 4. Everyone rides → 9 vans, last carries 4.
4th Grade
1. 13/24 of a mile left.
Common bottom 24. 7/8 = 21/24, 1/3 = 8/24. 21/24 − 8/24 = 13/24.
2. Cleared 13/20; blocked 7/20.
Common bottom 20. 2/5 = 8/20, 1/4 = 5/20. 8/20 + 5/20 = 13/20. Blocked: 20/20 − 13/20 = 7/20.
3. 11/24 of the tank.
Common bottom 24. 5/6 = 20/24, 3/8 = 9/24. 20/24 − 9/24 = 11/24.
4. 7/12 of the park.
Common bottom 12. 3/4 = 9/12, 1/6 = 2/12. 9/12 − 2/12 = 7/12.
5. 9/10 full; 1/10 empty.
Common bottom 10. 1/2 = 5/10, 2/5 = 4/10. 5/10 + 4/10 = 9/10. Empty: 1/10.