Maths practice for 14 year olds - page 219 of 379
Number of problems found: 7564
- Legs
Cancer has five pairs of legs, and the insect has six legs. Sixty animals have a total of 500 legs. How much more are cancers than insects? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Grade pupil comparison
There are 2 more pupils in the 7th grade than in the 8th grade. If the number of pupils in the 7th grade increased by 7 and the number of pupils in the 8th grade increased by a third of the original number, there would be the same number of pupils in both - Beet digging time
My father went to dig 6 kilometers of beet at 6:00 pm. It would take him 12 hours. After an hour, the son arrived, and they finished digging at 10:00. How long would it take for his son to dig 6 km of beet? - Father and daughter
When I was 11, my father was 35 years old. Now, my father is three times older than me. How old is she? - Pool Fill Drain Time
We filled the pool with two tributaries: the first in 5 hours and the second in 8 hours. The father came and drained 1/8 of the water. How long before the pool fills with both tributaries? - Granules
Katy had two dogs. The first one ate a pack of granules a week, and the other two times longer. Kate bought them two bags of granules. How long does it last for both dogs? - Journey 5
A man has to make a journey of 84 km in 3 hours. He travels the first 30 km at 20 km/hr. At what rate must he travel the remaining distance to complete his journey on time? - Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles? - Fruit crate weight
The fruit crate is seven times heavier than an empty crate. A full crate weighs 30 kg more than an empty one. How many kg does an empty crate weigh? - White Blue Balls Probability
There are eight white balls and several blue balls in the pocket. The probability of pulling out the white ball is 2/3. How many blue balls are in your bag? - Class Passing Rate Girls
There are 30 boys in the class, and 28 of them passed. All the girls passed. A total of 95% of the students passed the course. How many girls are in the class? - Transport coupon savings
The coupon allows you to travel by public transport with a 20% discount cost of 300 CZK. If the ticket costs CZK 20, how often do we have to go after buying coupons so we don't lose out on buying coupons? - Diluting Alcohol to Percentage
We want to prepare 200 g of 64% alcohol. We have enough 80% alcohol to dilute with water. How much 80% of alcohol and water will we need? - Each with each
Five pupils from the 3 A class played table tennis. How many matches did they play with each other? - Isosceles Triangle Interior Angles
The area of the isosceles triangle is 8 cm2, and its arm's length is 4 cm. Calculate the sizes of its interior angles. - Catching Up on Bicycle
Miles set off from point A at 13:00 at a speed of 4 km/h. At 3:30 PM, Lisa set off on her bicycle at 20 km/h in the same direction. How many minutes will it take Lisa to catch up with Miles? - Triangle height calculation
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Diesel fuel
In the morning, we refueled and set off. After the first stop, we passed 20% of diesel and 10% of the balance after the second. At the third stop, we had only 9 liters of diesel and had to refuel. How big a tank do we have? - Five inlets
The tank can be filled with five equally powerful inlets. If four inlets fill the tank, it takes 30 minutes to fill one-third of the tank. How many minutes does it take to fill an empty tank if it is filled with all five inlets?
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