Maths practice for 14 year olds - page 300 of 382
Number of problems found: 7626
- PC disks
Peter has 45 disks in three colors. One-fifth of the disks are blue; red is twice more than white. How many blue, red, and white disks are there? - Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture? - Sum of three numbers
The sum of three numbers from which the second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine these numbers. - ATC camp
The owner of the campsite offers 79 places in 22 cabins. How many of them are triple and quadruple? - 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). - White and black balls
There are seven white and three black balls in an opaque pocket. The balls are the same size. a) Randomly pull out one ball. What is the probability that it will be white? We pull out one ball, see its color, and return it to the pocket. Then we pull out - Cycling trip
At 8:00 AM, a group of children from a summer camp set off on a cycling day trip. After 9:00, the weather deteriorated sharply and the leader decided to send a bus along the same route to pick up the children. The bus departed at 10:00. When and at what d - 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. 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? - Solving tasks
a/ When we cut each carrot into sixths, there will be 24 pieces more in the soup than when we cut it into quarters. How many carrots do we cut? b/ In an orchard there were 46 more apple trees than pear trees. A storm uprooted a quarter of the apple trees - 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?
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