Instructions
The dragonets of destiny need your help with some calculations! Solve the problems below to help them on their adventures across the continent of Pyrrhia. Show your work where you can.
Part 1: The Great Treasure Count
- Queen Thorn found a treasure chest with 2,475 gold coins. She decides to share it equally among her 15 most loyal SandWing guards. How many coins does each guard receive?
- Clay the MudWing can eat 12 cows in a month. If there are 3 dragonets in his winglet who eat the same amount, how many cows will they eat in a full year (12 months)?
- A SkyWing patrol flies at an average speed of 45 miles per hour. If they fly for 6 hours without stopping, how many miles have they traveled?
Part 2: Jade Mountain Cafeteria Fractions
- At the Jade Mountain Academy lunch, 2/5 of the dragons chose to eat fish, and 1/4 chose to eat wild boar. What fraction of the dragons chose fish or boar in total? (Remember to find a common denominator!)
- Glory brought a large bundle of 24 sun-warmed mangoes to share. If the RainWings ate 3/8 of the mangoes, how many mangoes did they eat?
- Tsunami swam 7/10 of a mile to a coral reef. Starflight, not being a strong swimmer, only swam 1/2 of a mile. How much farther did Tsunami swim than Starflight?
Part 3: Kingdom Calculations
Imagine the IceWing palace courtyard is a perfect rectangle.
- The courtyard is 80 meters long and 50 meters wide. What is the perimeter of the courtyard?
- What is the area of the same IceWing courtyard? (Remember: Area = length × width)
Part 4: Decode the NightWing Message
Solve each problem below. Match your answer to the letter in the code key to spell out the name of the dragon continent!
Code Key:
A = 100 | H = 60 | I = 11 | P = 20 | R = 7 | Y = 4
- 10 × 2 = ____
- (5 - 1) × 1 = ____
- 49 ÷ 7 = ____
- 63 ÷ 9 = ____
- (3 × 5) + 45 = ____
- 121 ÷ 11 = ____
- 25 × 4 = ____
The secret word is: ___ ___ ___ ___ ___ ___ ___
Answer Key
Part 1: The Great Treasure Count
- 165 coins (2,475 ÷ 15 = 165)
- 432 cows (3 dragons × 12 cows/month = 36 cows/month. 36 × 12 months = 432)
- 270 miles (45 × 6 = 270)
Part 2: Jade Mountain Cafeteria Fractions
- 13/20 of the dragons (2/5 + 1/4 = 8/20 + 5/20 = 13/20)
- 9 mangoes (24 ÷ 8 = 3. 3 × 3 = 9)
- 1/5 of a mile farther (7/10 - 1/2 = 7/10 - 5/10 = 2/10, which simplifies to 1/5)
Part 3: Kingdom Calculations
- 260 meters (Perimeter = 2 × (80 + 50) = 2 × 130 = 260)
- 4,000 square meters (Area = 80 × 50 = 4,000)
Part 4: Decode the NightWing Message
- 10 × 2 = 20 (P)
- (5 - 1) × 1 = 4 (Y)
- 49 ÷ 7 = 7 (R)
- 63 ÷ 9 = 7 (R)
- (3 × 5) + 45 = 60 (H)
- 121 ÷ 11 = 11 (I)
- 25 × 4 = 100 (A)
The secret word is: P Y R R H I A