Maths practice for 14 year olds - page 285 of 381
Number of problems found: 7618
- Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
- Granddaughter 4237
Mrs. Helena has an old cell phone with nothing to do but makes phone calls. The cell phone will discharge in 72 hours when fully charged and on the phone. Three hours of calling in a row are enough to discharge a fully charged phone. After the last full c
- A stone
There is a stone weighing 60 kg on the billet. The distance from the support point to the stone is 20cm. The length of the billet is 1m. Determine the force exerted by the hand at the end of the billet.
- Completes 4234
The worker completes the work in 12 days, the second in 10 days. The first worker kicks himself for four days, then the second worker comes. How long will it take to dig?
- Completely 4226
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium?
- Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it?
- Hypotenuse 4221
Find the set of points formed by the center of gravity of right triangles with the same hypotenuse (build several possible triangles into one image).
- Chocolate roll
The cube of a 5 cm chocolate roll weighs 30 g. How many calories will the identical chocolate roller of a prism shape with a length of 0.5 m whose cross-section is an isosceles trapezoid with bases 25 and 13 cm and legs 10 cm contain? You know that 100 g
- Acceleration 4211
At the start of braking, the car had a speed of 72 km h at -1. It stopped on a track of 50 m. What was the acceleration, and how long did the braking last?
- Apples
I picked 600 kg of apples this year. Autumn's apples were four times more plentiful than summer's. How many kilograms do I pick in the summer, and how many winter apples?
- Equation: 4197
Solve the equation: (4096^x) · 8! = 161280
- Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles t
- Unions now
The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male and 23% female. Plant management reported that 20% of all employees are in the trade union. How many men and women are in the plant, and how many are men and women in trade union
- Fertilizer
With an area of 1,500 square meters, Meadow was fertilized with 12 kg of urea. Urea contains 45% nitrogen. How much nitrogen accounted for per 1 m²?
- Cows
The agricultural cooperative has increased the number of housed cows by 14% to 285 units. How many cows increased the agricultural cooperative number of cows?
- Described 4187
Find the area of the circle that is a) inscribed, b) described 6.32 cm square.
- Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
- Work together
Michal and Dorota would do the work together in 2.25 hours. If Dorota had to do it herself, it would have taken her 6 hours longer than Michal. Determine when Dorota will do the work herself and when Michal will do it himself.
- Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att
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