Maths practice for 14 year olds - page 241 of 371

Number of problems found: 7416

2 pipes
Two pipes can fill a tank in 35 minutes. The larger pipe alone can fill the tank in 24 minutes less than the smaller pipe. How long does each piece take to fill the tank alone?
Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, a height of 4 cm, and 5 cm long arms.
Spending 6556
Romana, Pavol, and Ján were on vacation. Everyone paid some part of the cost. After the vacation, it was found that Romana spent Sk 19,000 for all three, Pavol Sk 7,000 for all three, and Ján Sk 4,000 for all three. How much money will each of them pay ea
Beginning 6551
The autumn price of downhill skis was increased by 10% at the beginning of the winter season. In the spring, the shop reduced this new price by 10% to CZK 4,950. What was the original autumn price of skis?
In the new
In the new television show, a competition was announced for the funniest logo of the show. A total amount of CZK 13,300 was determined for the three winners: the amount will be divided so that the second prize is two-thirds of the first prize and the thir
Minute average
In a factory, four workers are assigned to complete an order received for dispatching 1400 boxes of a particular commodity. Worker A takes 4 minutes per box, Worker B takes 6 minutes per box, C takes 10 minutes per box, and D takes 15 minutes per box. Fin
Students 6541
There are a total of 47 pupils in three classes in the rural school. There are 20% more pupils in the first grade than in the second grade and one pupil less in the third grade than in the second grade. How many students are there in each class?
Calculate 6539
Calculate the magnitude of the angle formed by the lines p and q, which connect 1, 6 (line p), and 5, 8 (line q) on the clock face.
Section 6538
The tourist section planted 145 trees in the spring, which is 15% more than planned. How many trees did they plan to grow?
The tank
The tank had nine inflows to be filled in 21 days. After nine days, three inflows shut down. How many days did the remaining six tributaries fill the tank?
Alaska vs Montana
Alaska is the largest state in the United States and has a surface area of approximately 588,000 square miles. Montana has a surface area of approximately 25% of the surface area of Alaska. What is the approximate surface area of Montana?
Ornamental 6532
The gardener is to plant 6 ornamental trees. There are 8 different types of trees available. Two trees, A and B, will be planted on the left edge. How many ways can a gardener do this if all the saplings planted are to be different?
Mackerel 6531
Mackerel costs m euros. If you buy mackerel and 20 sardines, you will pay double. How much will you pay for: (a) mackerel and 40 sardines (b) three mackerel and 80 sardines
One-third 6529
The worm Oliver Zoubek decided to bite through the oak log. In the first year, he made a hole in one-third. The second year, he chewed through one-third of the rest. In the third year, again, a third of the rest, and in the fourth year, he had 16 cm left.
Circumference of a triangle
The circumference of the triangle is 104 cm. One side is 6 cm longer and 8 cm shorter than the third. Find the lengths of its sides.
Mathematics 6522
There are more than 20 but less than 40 students in the class. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. Nobody got a four. How many students in the class wrote the test on a five?
Together 6519
One worker makes 15 parts per hour, the other 12, and the third 10. How many hours did each work when they worked together for 15 hours?
Amount 6518
What is 5% of the amount of 5000 euros?
Car driver
The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier
Bottles
The must is sold in 5-liter and 2-liter bottles. Mr. Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?

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