Runes of Numbers
What is the value of: 48/6+4
12
A rectangle has a length of 8 units and a width of 5 units. What is the perimeter?
26 units (2 x (8+5) =26)
The ratio of red crystals to blue crystals is 3:5. If there are 15 blue crystals, how many red crystals are there?
9 red crystals (3:5 multiply by 3 ----> 9:15)
A wizard adds 1/4 of a potion to 1/2 of the same potion. What fraction of the potion does he have now?
3/4
A village chart shows the number of dragons sighted each day:
Monday: 3
Tuesday: 5
Wednesday: 2
Thursday: 4
Friday: 6
How many dragons were sighted on Wednesday?
2
A traveler in the Edgeverse collects 12 crystals each day. How many crystals will the traveler collect in 5 days?
12*5=60 crystals
Solve: 7 x (5+3)
56
What is the area of a triangle with a base of 10 units and a height of 6 units?
30 square units (1/2 * 10 * 6 =30)
A runner travels 12 miles in 3 hours. What is the unit rate in miles per hour?
4 miles per hour (12/3 =4)
A dragon eats 5/6 of a treasure hoard. Later, it gives 1/3 back to the villagers. How much of the hoard does the dragon keep?
1/2
A wizard tracks the height of his magic tree over 5 weeks:
Week 1: 10 cm
Week 2: 15 cm
Week 3: 20 cm
Week 4: 25 cm
Week 5: 30 cm
What is the average weekly growth of the tree?
5 cm per week (difference each week: 5 cm)
A scholar has 48 scrolls. She places them equally into 6 chests. How many scrolls are in each chest?
48/6=8 scrolls per chest
What is the value of: 30-4^2
14
A rectangular prism has a length of 6 units, a width of 4 units, and a height of 5 units. What is the volume?
(6*4*5)=120
In a class, the ratio of students wearing sneakers to sandals is 7:3. If there are 21 students wearing sneakers, how many are wearing sandals?
9 students (7*3 =21 ----> multiply by 3----> 3*3 =9)
A knight needs 2/3 of a shield to complete a magical barrier. If he only has 3/4 of that, how much of the shield does he actually have?
1/2 (2/3 * 3/4 = 6/12=1/2)
The Edgeverse guild recorded the number of scrolls collected by 7 students: 3, 5, 5, 2, 6, 4, 5.
What is the mean number of scrolls?
What is the median?
What is the mode?
Answer:
Mean = (3+5+5+2+6+4+5)/7 = 30/7=4.286
Median = 5 (middle value when ordered: 2,3,4,5,5,5,6)
Mode= 5 (most frequent number)
A village tower has 3 towers. Each tower has 4 floors, and each floor holds 6 lanterns. How many lanterns are there in total?
3*4=12 floors
12*6=72 lanterns
-6+14-3
5
A square has an area of 49 square units. What is the length of one side?
(7*7=49)
A potion is 25% water. If the potion has a total volume of 40ml, how many milliliters are water?
10mL (25% of 40 = 0.25 * 40 = 10)
A potion master has 3/5 of a liter of magic elixir. He wants to pour it equally into equally into bottles that each hold 1/10 of a liter. How many bottles can he fill?
6 bottles (3/5 / 1/10 =3/5 * 10/1 = 30/5=6)
A mage's ingredients pie chart shows:
40% fire herbs
30% water crystals
10% air feathers
If the mage has 50 total ingredients, how many are water crystals?
15 (30% of 50 = 0.3 * 50 = 15)
A knight needs 150 energy points to complete a quest.
He already has 45 points and earns 15 points per challenge.
How many challenges must he complete to reach his goal?
150-45=105 points needed
105/15=7 challenges
Evaluate: 3 x [12-4(4+2)] / 3
6
A composite shape is made of two identical rectangles, each with a length of 6 units and a width of 3 units, placed side by side. What is the total area of the shape?
36 square units (Each rectangle: 6*3=18 ---> 18+18=36)
The ratio of knights to mages is 4 : 6. There are 20 knights. How many mages are there?
30 mages (4---> 20 is *5----> 6 * 5 =30)
A castle's library has 7 1/2 scrolls of fire spells and 3 2/3 scrolls of mist spells. How many scrolls are there in total? Give your answer as a mixed number.
11 1/6 scrolls (7 1/2 + 3 1/2 = 15/2 + 11/3= 45/6 + 22/6=67/6=11 1/6)
Two Knights track their battles over a week. Knight A wins: 3, 4, 2, 5, 4, 3, 4. Knight B wins: 2, 5, 3, 4, 3, 6, 2.
Which knight has a higher average number of wins per day?
Knight A: (3+4+2+5+4+3+4)/7 = 25/7=3.571
Knight B: (2+5+3+4+3+6+2)/7 =25/7=3.571
A merchant sells magic stones in packs of 8.
A customer wants at least 50 stones.
How many packs should the customer buy?
How many stones will they have in total?
50/8=6.25 round up to 7 packs
7*8=56 stones
Reasoning
You must buy whole packs, so rounding up ensures at least 50 stones.