Maths practice for 14 year olds - page 224 of 368

Number of problems found: 7347

Another 7225
The tourist walked on the plain for 2 hours at a speed of 6 km/h. For another hour, he climbed a steep hill at a speed of 3 km/h. What was his average speed?
Father 7222
Now a father is five times as old as a son. In 2 years, the father will be four times as old as the son. How old is Dad, and how many is Son now?
On a truck
Two types of barrels were loaded on a truck, a larger one weighing 50 kg and a smaller one weighing 20 kg. A total of 120 barrels were loaded on the truck and their combined weight was 3300 kg. Calculate how many larger barrels were loaded on the truck in
Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle?
Right 24
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two unequal segments. One segment is 5 cm long. What is the area of the triangle? Thank you.
Rectangular 7215
The rectangular rink with dimensions of 50 m and 25 m should be covered with a layer of ice 4 cm high. How many liters of water are needed to make ice if the ice volume is 10% greater than the volume of water?
The garden
The garden has the shape of a rectangular trapezium. The bases have lengths of 27 meters and 36 meters, and the trapezoid's height is 12 meters. Calculate how much a fence will cost this garden if one meter costs 1.5 €.
Multiplied 7208
Which fraction number must be multiplied by 40 to get a 6% smaller number?
Percentage 7207
There are 1.5 times more women in the cinema than men. What percentage of women are in the cinema?
Younger 7202
If Nina were nine times older and her mother was nine times younger, they would be 85 years old. So, Ninka is 85, and Mom is 85.
Precisely 7199
If Peter had 700 CZK more, he would have the same as Jirka. Zdenek has a third of what Peter precisely. Together, they have 7000 CZK. How much does everyone have?
Everyone 7196
Filip had two more balls than Jarda, and Milos had twice as many as Filip. They had a total of 33 balls. How much did everyone have?
Hydraulic 7194
The hydraulic system has: S1 = 0.02 m² S2 = 2 m² F1 =? F2 = 40000 N What force must we exert to get a force of 40,000 N?
The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole?
Donated 7192
Mom donated 120 € to Jožek per bike, which was 60% of the bike's price. How much did the bike cost?
Loss
A bookstore purchased the biography of a well-known politician from a publisher for R15 per copy, but sales have been very poor. The manager has decided to mark the copies down to R12 each to make a quick sale. Calculate the loss on each book as a percent
They exceeded
In mines A and B, they were supposed to extract 20,000 tons of coal together. However, they exceeded their joint plan and so they extracted 133 tons more together. In mine A, they exceeded the plan by 2 percent, and in mine B, on the contrary, they extrac
Stamps collection
Together, Peter and Jan had 52,000 stamps in their collection. To compete with their friend, they must have 56700 stamps. They agreed that Peter would increase his collection by 8 percent and Jan would give 10 percent more than he has. How many stamps did
Three points
Three points: A (-3;-5), B (9;-10), and C (2;k). AB=AC What is the value of k?
Hectares
The tractor plows on the first day of 4.5 ha, the second day of 6.3 ha, and the third day of 5.4 ha. It worked whole hours a day, and its hourly performance did not change and was the highest possible. How many hectares did it plow in one hour (what is it

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