Math practice for 13 year olds - page 226 of 413
Number of problems found: 8260
- Tributaries
We can fill the pool with two different tributaries. The first inflow would fill the pool in 18 hours and by both in 6 hours. How many hours would the pool fill with a second inflow? - A loan
A loan of $944 is charged simple interest at an annual rate of 8.1%. How much money is owed 14 months after the loan was made? - Two machines
The first machine can produce parts in 24 hours, and the second can produce parts in 16 hours. The first started working at 6:00 p.m., and the second at 10:00 a.m. At what hour were all the parts made? - Pouring alcohol
100 liters of alcohol has 70% How many liters of water must be added to have 60% alcohol? - Two numbers
The difference between the two numbers is 74. If we divide a larger number by a smaller one, we get a quotient of seven and the rest 2. Determine both numbers. - Cake ingredients
Does the yeast cake contain milk, yeast, sugar, and flour in a ratio of 20:4:1:15. What percentage of flour is in yeast? - Fraction product puzzle
Fraction 2/3 multiplied by such a fraction that the product is equal to 1 - Two sets
Suppose Set B contains 69 elements, and the total number of elements in either Set A or Set B is 124. If sets A and B have 29 elements in common, how many elements are contained in set A? - Cheetah vs antelope
When the cheetah began chasing the antelope, the distance between them was 120 meters. Although the antelope ran at 72 km/h, the cheetah caught up with it in 12 seconds. What speed was the cheetah running? - Median in right triangle
In the rectangular triangle, ABC has known the length of the legs a = 15 cm and b = 36 cm. Calculate the length of the median to side c (to hypotenuse). - Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - Bus speed calculation
A bus driver on a route between two neighboring villages travels at an average speed of 70 kilometers per hour and takes 1/2 hour. At what speed must he goes if he is 10 minutes late and wants to get to the neighboring village on time? - Factory order completion
Factory A can fulfill the order independently in 10 days. Factory B fulfills the same order in 16 days. How many days will the order be completed if only plant B works on it for 3 days and then both plants together? - Bdf tablet
Detective Harry Thomson has come across a surprising mystery. As part of the weekend's action, the tablet he looked for dropped by 30%. He also recommended this bargain to his friend. However, it came to the shop on Monday, and the tablet was 30% more exp - Draw triangle
Construct an isosceles triangle ABC, if AB = 7 cm, the size of the angle ABC is 47°, arms | AC | = | BC |. Measure the size of the BC side in mm. - Rectangles
Vladimir likes to draw rectangles. Yesterday, he created all rectangles with sides in centimeters and a circumference of 18 cm. How many rectangles of different dimensions have been drawn? - Two ships
Two ships sailed from Venice - a cargo speed of 10 knots and a ferry speed of 18 knots. When will the ferry catch up with the cargo ship if it sailed 10 hours later? - Irregular pentagon
A rectangle-shaped, 16 x 4 cm strip of paper is folded lengthwise so that the lower right corner is applied to the upper left corner. What area does the pentagon have? - Water level increase During the experiment, water flows evenly into a cylinder-shaped container. At the end of the 5th minute of the experiment, the water level was 25% higher than at the beginning of the experiment. 0 how many percent higher will the water level be at the en
- Race car loss
Two race cars passed the finish line at a speed of 216 km/h at a distance of 0.003 s. Express the loss of the second in centimeters.
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