Maths practice for 14 year olds - page 196 of 362
Number of problems found: 7230
- Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Z9 – I – 4 MO 2019
Matúš landed with a parachute on an island inhabited by two kinds of natives: the Honest ones, who always tell the truth, and the Liars, who always lie. Before landing he glimpsed in the distance a harbour, to which he intended to get. At the first crossr - Garden fencing
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m. - Sloth meeting distance
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the - Two places
The distance to the places is 60 km. From A place, a pedestrian came out at a speed of 4 km/h, and at the same time, a car drove against him from place B. What was the car's speed if the pedestrian met him in 90 minutes? - 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?
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