Maths practice for 14 year olds - page 285 of 362

Number of problems found: 7226

Tour
Thirty-five people went on a tour and paid 8530. Employees pay 165, and family members pay 310. How many employees and how many family members went on the tour?
Schools
Six hundred seventy-eight pupils attend three schools. The first had 21 students, and the third had 108 fewer students than the second school. How many students attend the schools?
Summerjob
Three students participated in the summer job. Together, they earned 1780, -. Peter got a third less than John, and Paul got 100 more than Peter. How much did each one of them cost?
Resistance
Determine the bulb's resistance with the current 200 mA and is in a regular lamp (230 V).
Four friends
Four friends shared the money. Vince got 1/4 of the total amount. Tony received 1/3 of the rest of the money, Joe got a half from the second residue, and George was left with 80. How much money did they have altogether?
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?
Shaft drainage time
The mine foreman calculated that 2 pumps must be in operation for 17.5 hours to drain the shaft. 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.
Catching up time
Johnny 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 Johnny?
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 10 m, 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?
Mother and daughter age
A mother is six times as old as her daughter. The mother will be twice as old as her daughter in twenty years. How old is the mother, and how old is 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.
Beetles and spiders
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?
Goals scored
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?

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