Maths practice for 14 year olds - page 356 of 379
Number of problems found: 7575
- Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone. - Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees. - Sector
The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes. - Flowerbed
On the flowerbed were planted 280 flowers - pansies and crayons during the first week, wilts quarter of pansies and an eighth crayons, which is 20% of all flowers. How many pansies were planted on the flowerbed? - Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base. - 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 22 days, B with C for 10 days, and A with C for 19 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 ran simultaneously towards each other from locations distant 23.1 km. The average speed of the first runner was 1/7 higher than the average speed of the second runner. How long should each run a 23.1 km, if you know they meet after 58 minutes? - Rectangles - sides
One side of the rectangle is 10 cm longer than a second. Shortening the longer side by 6 cm and extending the shorter by 14 cm increases the rectangle area by 130 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)
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