Math practice for 13 year olds - page 269 of 425
Number of problems found: 8486
- Average grade
In the 9th grade, the teacher evaluated 24 pupils in the semester: 5 received grade 1, 8 received grade 2, and 11 received grade 3. Find the average grade in mathematics.
- Diofant equation
250x + 120y = 5640
- Peroxide
How many ml should we pour 30% of peroxide (H2O2) into 100ml H2O to give a 20% solution?
- Perimeter of base
The circumference of the base of the rotating cylinder is the same as its height. What is the diameter and height of this cylinder with a volume of 1 liter?
- Square to rectangle
A square has a side, and a rectangle has a width of 2 x and a length of 3. What is the ratio of the area between a square and a rectangle?
- Irrigation sprinkler
The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate?
- New ratio
The ratio of ducks and chickens in our yard is 2:3, for a total of 30 ducks and chickens. The mother gave 3 of the chickens to our neighbor. What is the new ratio now?
- Stamps 2
Dennis spent 34.15 on stamps. The number of 0.56 is ten less than four times of stamps bought for 0.41. How many of each stamp did he buy?
- Cube root
Find the cube root of 18
- A truck
A truck departs from a distribution center. From there, it goes 20km west, 30km north and 10km west and reaches a shop. How can the truck reach back to the distribution center from the shop (what is the shortest path)?
- Sale discount
The product was discounted so that eight products at a new price cost just as five products at an old price. How many percent is the new price lower than the old price?
- Price inflation
This year, the average wage grew by 4.5%. Prices rose by 2%. How much did the real wage increase in the given year?
- Parking
At a building parking, 245 spaces are for cars, 56 are for vans, and the rest are for buses. If 14% of all parking spaces are for buses, how many parking spaces are there in the building? How many spaces are for buses?
- Wiring 2
Willie cut a piece of wire that was 3/8 of the total length of the wire. He cut another piece that was 9m long. The two pieces together were one-half of the total length of the wire. How long was the wire before he cut it?
- A trapezoid
A trapezoid is 75 ft wide on top, 85 ft on the bottom, and the height is 120 ft. What is its area in the square yds?
- 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
- Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain?
- Two pumps
Pump A takes twice as long to fill a tank as B. Together, they take 2 hours to fill the tank. How long does each one take to fill the tank by itself?
- Catering business
The Montealegre family has a catering business. At one birthday party, they charged their customers $11,767.50 for a party of 90 people and a service charge of $2,500.50. What was the average cost per person? Please show your solution.
- Electric input power
Solve problems related to electric power: a) U = 120 V, I = 0.5 A, P =? b) P = 200 W, U = 230 V, I =? c) I = 5 A, P = 2200W, U =?
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