Math practice for 13 year olds - page 235 of 428
Number of problems found: 8556
- The ladder
The ladder has a length of 3 m and is leaning against the wall, and its inclination to the wall is 45°. How high does it reach? - The cable car
The cable car is 3,5 kilometers long and climbs at a 30 degrees angle. What is the altitude difference between the Upper and Lower stations? - Two pen
Two pens and one notebook costs $56. One pen costs 1/5 of one notebook. How much is one notebook? - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - The tickets
The tickets to the show cost an integer greater than 1. Also, the sum of the price of the children's and adult tickets and their products was the power of the prime number. Find all possible ticket prices. - Quantities
Let x represent one quantity. State what that quantity represents. Express the second quantity in terms of x. The length of the rectangle is 4 inches less than eight times the width. - AMSL and skiing
Tomas skis from point A (3200m above sea level) to place B. The Hill has a 20% descent. The horizontal distance between the start and finish is 2.5 km. At what altitude is point B? - Five number operations
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to - Iron pipe weight
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Cattle trough volume
The cattle water feeding trough is a half-cylinder with a length of 2 m and a width of 0.8 m. How many m³ of water can be poured into the gutter? How many m² do we need to produce 25 such gutters? - Cycling training time
Petra got so excited about the cycling race that he started training every day. He notices that he travels 10 km in as many minutes as his average speed in kilometers per hour. His last training route was 50km. How long did it take him to cross it? - Continent area proportion
The area of Asia and Africa is 3:2, and the area of Europe and Africa is 3:7. In what proportion are the sizes of Asia, Africa, and Europe? - Train delay calculation
The train travels at an average speed of 75 km/h. According to the timetable, he should be at the station in 11 minutes, but he still has 20 km to go. How much-expected delay will appear on the station information board? - Rainwater
If 6 mm of water rained on the garden with an area of 25 acres, how many 12-liter cans of water would we need to water this garden? - Interest calculation comparison
From € 800 for six months at an interest rate of 7.5% per annum; and - simple interest b - compound interest - Monkey spring distance
Two monkeys were sitting on a tree, one at the top and the other 10 cubits from the ground. Both wanted to drink from a spring that was 40 cubits away. One monkey jumped to the spring from the top and flew the same path as the other monkey. How long did t - Bus route network
A new bus route network was built. There are three stops on each line. In addition, every two lines either do not have a common stop or have only one common stop. What is the largest number of tracks there can be in a town if we know there are only nine d - Military distance deviation
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni - Between two bus stops
Wanda lives between two bus stops at three-eighths of their distance. He started the house today and found that he would have arrived at the bus stop if he had run to one or the other. The average bus speed is 60 km/h. What is Wanda's average running spee - One-sixteenth
A Slovak resident uses a quarter of their daily average water consumption for personal hygiene, a twentieth for drinking, a sixteenth of the rest for washing dishes, and 105 liters for other activities. What is the average daily water consumption of a res
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