Maths practice for 14 year olds - page 339 of 361
Number of problems found: 7215
- Hexagon A
Calculate the area of a regular hexagon inscribed in a circle with radius r=15 cm. - Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also - Three workers
Three workers, A, B, and C, must work on a specific task. Workers A and B completed the task in 19 days, B with C for 19 days, and A with C for 11 days. How long would it take to complete the task for everyone alone? How long would it take to complete the - Blueberries
Marie earns 2.2 liters of blueberries for 1 hours, and Peter 2.5 liters for 1.5 hours. How long do they pick one liter together? - Two runners
Two runners set off simultaneously toward each other from locations 23.1 km apart. The average speed of the first runner was 1/7 greater than the average speed of the second runner. How long would each take to run 23.1 km, given that they meet after 58 mi - Rectangles - sides
One side of the rectangle is 16 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 9 cm increases the rectangle area by 250 cm². What are the dimensions of the original rectangle? - Two valves
Water fills the pool with two valves for 11 days. After 7 days, the workers stopped the first and second valve fill pool for 7 days. How many days did it take to fill the pool of each of the valves individually? - Posters
A column with posters in the form of a cylinder is 2 m high, and its diameter is 1.7 m. What is the area in which it is possible to stick posters? - Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality? - Simple interest 4
Find the simple interest if 7134 USD at 4.2% for 188 days. Assume a 360-day year. - Simple interest 2
Find the simple interest if 16050 USD at 4.9% for 9 months. - Shooter
The shooter fired at a target from a distance 49 m. The individual concentric circle of targets has radius increments of 1 cm (25 points) by 1 point. The shot was shifted by 16' (angle degree minutes). How many points should he win his shot? - Mushrooms
Fresh mushrooms contain 94% water and dried 9%. How many kilograms of fresh mushrooms are needed to collect to get 10 kg dried? - Car
At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.) - Bomber
The aircraft flies at an altitude of 14700 m above the ground at a speed of 619 km/h. At what horizontal distance from point B should be released any body from the aircraft body fall into point B? (g = 9.81 m/s²) - Against each other
Two cars start simultaneously from points A and B, which are 29 km apart, and travel toward each other at speeds of 82 km/h and 72 km/h. How long until they meet, and what distance does each car travel? - Average
What is the average speed of the car, where half of the distance covered passed at a speed of 52 km/h and the other half at 89 km/h? - Motor physics
A car is traveling at 104 km/h on the highway. The pulling power of the motor is 10 kN. Find the engine power in kW. - Rectangle - sides
A rectangle has an area of 340 cm². The shorter side is 3 cm less than the longer side. What is the perimeter of the rectangle? - Pedestrian
A pedestrian came started at 7h in the morning with a speed of 3.2 km/h. At half-past eleven, the cyclist started at 30 km/h the same way. How long does the cyclist take to catch up with the pedestrian?
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