Maths practice for 14 year olds - page 109 of 379
Number of problems found: 7575
- Manganin
How long must a manganin wire with a diameter of 0.8 mm have a value of 10Ω? - 24carat gold
The goldsmith cast 22-carat gold and 14-carat gold and earned 20 dkg of 18-carat gold. How much gold did he use? - Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle. - Sides in ratio
The sides of the triangle are in a ratio of 2:6:5. Find the dimensions of the remaining sides if the longest side is 32 cm. - Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm. - Mountains 57433
The trip to the seaside vacation was as follows: 80% of the entire route was on the plain. 40% of the rest was through the mountains. The remaining 180 km was along the coast. What is the total length of the route? Thank you - School student
The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or
- Similarity of triangles
If triangle ABC ~ to triangle XYZ, AC = 24, AB = 15, BC = 17, and XY = 9, what is the perimeter of triangle XYZ? Round all sides to 1 decimal place. - Gale and spruce
A mighty gale broke the top of the fifteen-year spruce, resting it on the ground. The distance of this top from the trunk was 4.6 m below. At what height was the spruce trunk broken? - Train
Find the average speed of a train (in km/h) that passes a telegraph pole in 7 seconds and passes a 378 m platform in 25 seconds. How long is the train? - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Original 57121
They reduced the goods by 15% from the original price of CZK 3,400. What is the new price? - Regular octagon pad
You need to make a pad in the shape of a regular octagon with a side length of 4 cm. What is the minimum diameter of the circle-shaped semi-finished product from which we make the pad, and what will be the percentage of waste? (Round the results to 1 deci - What is
What is the circumference of an isosceles trapezoid with an area of 106.75 cm²? The lengths of the sides are in the ratio of 1:3:2:1, and the bases are 6.1 cm apart. - Production plan
The annual production plan was exceeded by 2%. If production were higher by 300 products, the plan would be exceeded by 5%. What was the annual production plan?
- The train
The train starts for 2 min with an acceleration of 25 cm/s². What speed will he gain in this time, and what path will he pass? - Acceleration 56621
The aircraft, which has a speed of 1080 km/h, starts moving for 1 minute with an acceleration of 1 m/s². What will be its final speed? What trajectory will he take at this minute? - Powdered milk
A can of powdered milk and a can of evaporated milk cost $83.90 together. Two cans of evaporated milk and a can of powdered milk cost $118.05. How much is one can of powdered milk? How much is one can of evaporated milk? - Solve:
Solve: 2r²+7r-r²-9 - Embankment 56451
Twenty men will build a dam in 36 days if they work 10 hours daily. How many hours a day do 30 men have to work if the embankment is to be completed in 16 days?
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