Maths practice for 14 year olds - page 220 of 379
Number of problems found: 7564
- Cottage room occupation
Triple and quadruple rooms are available in the cottage for 30 children. Rooms are occupied so that all beds are always occupied. Determine how many rooms the children will occupy in total if there are four times as many children in the four-bedroom rooms - Cup Diameter Ball Displacement
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - Screens
The area of a 25-inch TV screen is 300 in² and the area of a 40-inch TV screen is 768 in². What percentage of the larger screen's area is the smaller screen's area? - Pupils
There are 350 girls in the school, and the other 30% of the total number of pupils are boys. How many pupils does the school have? - Primary School Graduates Paths
From the last year of one primary school, 8% of pupils went to study at a gymnasium, 60% went to vocational schools, and 8 pupils went into practice. How many students were there in total in the last year? How many went to study? - Cylinder and Cuboid Volume
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Chickens and hares
There were chickens and hares in the yard. Together they had 22 heads and 54 legs. How many hens were there in the yard? - Two Workers Digging Canal
The first worker digs a canal in 3 hours. The other will dig the trench in 4 hours. They will work 1 hour opposite each other and then together. How long will it take them? - CD DVD shelf
George had music CDs and DVDs stored on the shelves. There are a total of 64. How many DVDs are on the shelf if there are seven times less than a CD? - Equation - inverse
Solve for x: 7: x = 14:1000 - Bicyclist Meeting Walker
At 8:00, Peter set out on a hike at 5 km/h. At 9:12, Michael followed him on a bike at a speed of 20 km/h. At what time did Michael catch up with Peter, and how many kilometers did he cover? - Polder filling
The polder has two tributaries. A larger inflow will fill an empty polder in 12 hours. The polder is already a quarter full. If we open both tributaries, the polder will be filled in 6 hours. How long would it take for a smaller inflow to fill an empty po - Two number sum
The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers? - Bench seating arrangements
Five friends want to sit on one bench. How many ways can this be done if one of them always sits in the middle of the bench? - Workshops
The first workshop will complete the robot itself in 15 days, and the second workshop in 10 days. They started together, but only the second workshop worked after three days. Thus, the work will take 15 days. - Vertices of a right triangle
Show that the points D(2,1), E(4,0), and F(5,7) are vertices of a right triangle. - Collection of stamps
Jano, Ralph, and Frank created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Red cubes
There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Drug discussion students
Two hundred fifty students were to participate in the discussion on the dangers of drugs. 8% of them did not participate in the debate. How many students were in the discussion? - Mushrooms
Grandfather gathered fresh mushrooms. The fifth was wormwood, and we threw it away. The other dried up. He obtained 720 grams of dried mushrooms. How many kilograms did the grandfather collect, and they lost 75% of their weight by drying the mushrooms?
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