Maths practice for 14 year olds - page 296 of 371
Number of problems found: 7408
- Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was the car? - Four friends
Four friends shared the money. Vasek got 1/4 of the total amount. Tonda received 1/3 of the rest of the money, Joe got a half from the second residue, and Jirka left 80. How much money get together? - Reward
Three workers shared a common reward of 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much does each worker earn? - Ice cream
Annie likes ice cream. In the shop are six kinds of ice cream. How many ways can she buy ice cream in three scoops if each has a different flavor mound and the order of scoops doesn't matter? - Price increase 2x If we increase the product's price twice by 20%, how much % is higher the final price than the original?
- Calculation 3620
The mine foreman calculated that 2 pumps must be in operation for 17.5 hours to drain the tunnel. He wanted to speed up the emptying of the shaft and added 3 more identical pumps. How long will it take to empty the shaft? Please also show your calculation - Pumps
Four identical pumps fill the tank in 40 hours. How many pumps would we have to use if we wanted to save 8 hours? - Rhumbline
Find the circumference and area of the rhumbline ABCD if the short side AD has a length of 5 cm, and the heel of the height from D leading to the AB side divides the AB side into two sections of 3 cm and 4 cm. - Distance 3615
Honza left home at 8 a.m. on foot at an average speed of 4 km/h. At 11 a.m., dad followed him on a bicycle at an average speed of 40 km/h. How long and at what distance from home will dad catch up with Honza? - Master work
The master will complete the given task in 4 hours. When they're done together, how long will it take to master students entirely in three hours? - Horizontal Cylindrical Segment
How much fuel is in the horizontal cylindrical segment tank with a length of 10m, a width of level 1 meter, and a level of 0.2 meters below the tank's upper side? - Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Canister
Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, and 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg, and the weight of an empty canister is 1.5 kg? - Daughter 3610
A mother is six times older than her daughter. The mother will be twice as old as the daughter in twenty years. How old is the mother, and how many are the daughter? - Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume. - Creatures 3607
The collector of beetles and spiders had ten creatures in a box. There were a total of 72 legs in the box. How many beetles and how many spiders? - One-thirds 3606
They baked one-third of the flour on the first day in the bakery and used 75% of the rest the next day. On the third day, 120 kg of flour remained. How much flour did they have in the beginning? - Achieve 3605
Jarda scored 18 goals more than Karel. They scored a total of 86 goals. How many goals did Jarda achieve, and how many did Karel score? - Mushrooms
Eva and Jane collected 114 mushrooms together. Eve found twice as much as Jane. How many mushrooms were found in each of them? - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A.
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