A rigorous 4-part math review sequence designed for rising 5th graders, moving progressively from foundational review to advanced 5th-grade preparation. Each packet is an 'Expedition Journal' featuring ten essential domains of fourth-grade math with mixed daily practice and comprehensive answer keys.
Composite. Factors of 9 are 1, 3, and 9. Since it has more than two factors (specifically, 3 × 3 = 9), it is composite.
10 Zone 10: Expedition Word Problems
Problem A: Clara is preparing hiking snack bags. Each bag needs 1/4 cup of almonds. If she makes 8 bags, how many cups of almonds does she need in total?
Work: 8 × 1/4 = 8/4 = 2
Answer: 2 cups
Problem B: The Base Camp team has 256 water bottles to distribute equally among 4 supply tents. How many water bottles does each tent receive?
Work: 256 ÷ 4 = 64
Answer: 64 bottles
Summit Expedition Math • Base Camp Journey Page 2 of 2
Workspace:
Answer: ______________________ km
Summit Expedition Math • Glacier Pass Trek Page 2 of 2
A. Circle the numbers below that are COMPOSITE:
23 29 39 45
(39 = 3×13, and 45 = 5×9; they are composite)
B. Consider the number 29. Is it prime or composite? Explain your reasoning:
Prime. The only whole factors of 29 are 1 and 29. It cannot be divided evenly by any other number.
10 Zone 10: Expedition Word Problems
Problem A: A trail crew is clearing 1,248 meters of mountain pathway. If they can clear exactly 4 meters of pathway each hour, how many hours will it take them to clear the entire trail?
Work: 1,248 ÷ 4 = 312
Answer: 312 hours
Problem B: A team pack contains 5 separate climbing ropes, each measuring 3/8 of a kilometer. What is the total length of ropes in kilometers? Write your answer as a fraction.
Work: 5 × 3/8 = 15/8 km (or 1 7/8 km)
Answer: 15/8 km
Summit Expedition Math • Glacier Pass Trek Page 2 of 2
Workspace:
Answer: ______________________ rolls
Summit Expedition Math • The Ridge Ascent Page 2 of 2
08
-7↓
19 → -14 = 5
Answer: 112 R 5
9 Zone 9: Prime or Composite?
A. Circle the numbers below that are PRIME:
53 57 87 97
(53 and 97 are prime. 57 and 87 are divisible by 3!)
B. Consider the number 57. Is it prime or composite? Explain your reasoning:
Composite. Although it looks prime, 57 can be factored into 3 × 19. Note: 5 + 7 = 12 (divisible by 3).
10 Zone 10: Expedition Word Problems
Problem A: Marcus packed 4 1/8 kilograms of camp fuel. During the first two days of the trek, his stove burned 1 5/8 kilograms of fuel. How many kilograms of fuel does he have left?
Problem B: A field botanist is setting up 5 plant observation quadrats. Each quadrat requires 3/4 of a roll of protective fencing tape. How many total rolls of fencing tape does she need? Write as a mixed number.
Work: 5 × 3/4 = 15/4 = 3 3/4 rolls
Answer: 3 3/4 rolls
Summit Expedition Math • The Ridge Ascent Page 2 of 2
Problem B: A climber drinks 3/5 of a liter of electrolyte water per hour. If they climb for 9 hours, how many liters of electrolyte water do they consume? Write your answer as a mixed number.
Workspace:
Answer: ______________________ Liters
Summit Expedition Math • The Summit Reach Page 2 of 2
Answer: 226 R 1
9 Zone 9: Prime or Composite? (Ultimate Diagnostic)
A. Circle the numbers below that are COMPOSITE:
101 111 117 119
(101 is prime. 111=3×37, 117=3×39, and 119=7×17!)
B. Consider 119. Is it prime or composite? Explain your reasoning:
Composite. It is composite because it has factors other than 1 and itself, specifically 7 × 17 = 119.
10 Zone 10: Expedition Word Problems
Problem A: The summit station needs to stock emergency blankets. They bought 8 cartons, each containing 64 blankets. If they want to distribute these equally among 6 base camps, how many blankets will each camp receive, and how many will be left over?
Work: 8 × 64 = 512 total blankets. 512 ÷ 6 = 85 R 2.
Each receive: 85, Leftover: 2
Problem B: A climber drinks 3/5 of a liter of electrolyte water per hour. If they climb for 9 hours, how many liters of electrolyte water do they consume? Write your answer as a mixed number.
Work: 9 × 3/5 = 27/5 liters = 5 2/5 liters
Answer: 5 2/5 Liters
Summit Expedition Math • The Summit Reach Page 2 of 2
