Maths practice for 14 year olds - page 213 of 368
Number of problems found: 7346
- Perpendicular 7712
Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture). - Sales off
The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut? - Construction 7709
Two construction companies are working on the landscaping. The first would do the whole job in 12 days, the second in 20 days. How long will they work together if the first start working when the second has already worked 4 days? - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge is 4 centimeters, and the height of the sidewall is 12 centimeters. - Quadrangular pyramid
The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Destination 7703
The glider took off from the airport at 10:00 a.m. and flew to the designated destination 102 km away at a speed of 80 km/h. Half an hour later, a motorplane took off behind him at a speed of 180 km/h. When does the motor plane catch up with the glider, a - Climb of the road
At what angle does the road rise if the climb is 8%? They rounded up for tens of minutes. - Acid evaporation
How many kilograms of water do we have to evaporate from 100 kg of 32% acid to make it 80% concentration? - Housekeeper 7695
At six o'clock, the housekeeper will start cutting his bow, which will take 12 hours. Two sons come to help him in an hour, and they will be together in 3 hours. How much would it take for just two sons to mow the bow? - Distributed 7694
The children have 568 cards distributed as follows: Jano and Mišo in the ratio of 3:7 and Mišo and Laco in the ratio of 3:5. How many cards does Mišo have? - 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. - Increased 7685
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 - Kilometers 7684
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? - Tributaries 7678
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. Katka bought them two bags of granules. How long does it last for both dogs? - Journey 5
A man has to make a journey of 84km in 3 hours. He travels the first 30km at 20km/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? - Heavier 7673
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?
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