Maths practice for 14 year olds - page 196 of 361
Number of problems found: 7217
- Car tractor pursuit
Behind the tractor, which travels at 12 km/h, they sent a car 3.5 hours later to catch up with him in 45 minutes. What speed does he have to go? Please also explain the procedure. - Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20 km/h, the second 12 minutes later at a speed of 25 km/h. What time do they meet? How many km will each of them travel since then? - Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks - Chessboard piece placement
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares. - Balls
From the bag with numbered balls (numbers 1,2,3,. ..20), we pick one ball. What is the probability of choosing a number containing 1? - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2 cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Time passing
Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now? - Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - Average speed
The truck drove 1/2 of the way on the highway at 80 km/h. The other half of the way, 20 km/h. Calculate the average speed. - Illness absence percentage
The clerk will work 178 hours a month. She missed 54 hours due to illness. What percentage is it? - Three pumps together
One pump fills the tank in 1.5 hours, the second in 2 hours, and the third in 3 hours 20 minutes. How many minutes will the tank fill with three pumps if they work simultaneously? - Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Triangle area ratio
In triangle ABC, point P lies closer to point A in the third of line AB, point R is closer to point P in the third of line P, and point Q lies on line BC, so the angles P CB and RQB are identical. Determine the ratio of the area of the triangles ABC and P - Dice even probability
We roll two different dice. What is the probability that a pair of even numbers will fall? - Seat
How much m² of fabric do we need to sew a 50 cm-shaped cube-shaped seat if we add 10% of the material to the folds? - The second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles? - Drilling machine
A manufacturing firm purchased a heavy-duty drilling machine. They were given two payment options: Option 1: Make a payment of $46,000 immediately to settle the invoice for the machine. Option 2: Pay $21,500 immediately and the balance of $23,550 in 3 mon - Motorcyclist average speed
The motorcyclist was riding: a) the first half of the driving time at a speed of 30 km/h, the second half of the time at a speed of 60 km/h, b) the track's first half at a speed of 30 km/h and the second half at a speed of 60 km/h. Determine its average s - Dress discount cost
After a thirty percent discount, the dress cost CZK 1,680. How much did it cost before the discount? - Natural number pairs
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product.
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