Maths practice for 14 year olds - page 325 of 362
Number of problems found: 7226
- Legs
There are four-legged chairs and three-legged stools in the room, all fitted with (one) person. I counted all the legs in the room, and there were 39. How many chairs, stools, and people are there? - Max - cone
The workshop must produce the greatest cone from the iron bar (shape = prism) with dimensions 6.2 cm, 10 cm, and 6.2 cm. a) Calculate cone volume. b) Calculate the waste. - Cardboard box
We want to make an open-top cardboard box in the shape of a quadrilateral prism with a rhombus-shaped base. The rhombus has a side of 5 cm and one diagonal of 8 cm. The height of the box is 12 cm. How many square centimetres of cardboard are needed if ove - Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place. - Barrel 3
The barrel with water weighs 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel? - Wheels
A small tractor wheel with a diameter of 60 cm must be rotated eight times to overcome some pathways. How many times must you turn the big tractor wheel with a radius of 60 cm to overcome the same distance? - Mushrooms
For five days, we collected 410 mushrooms. Interestingly, we collected ten mushrooms more every day than the preceding day. How many mushrooms have we collected during the 4th day? - Divisible by 5
How many three-digit odd numbers are divisible by 5, which is in place of ten's number 3? - Vacation
Smiths paid a deposit for a vacation of two-sevenths of the total vacation price. They then also paid € 550. How much cost their vacation? - Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices. - Savings spent
Anna bought something for one-third of her savings. She spent three-fifths of the remaining money on her parents' gifts. She has 400 euros left now. How many euros did she save before spending? - Olympics
How many ways can six athletes be placed on the podium at the Olympics? Depends on the color of the metal. - Mortgage
Family XY wants to take the bank mortgage (a loan for an apartment/house) for € 100,000. Bank processing the mortgage charges a fee of 0.79% of the amount borrowed. How many euros is this fee? - School
The school attends 792 children, boys and girls ratio is 4:5. How many more girls go to school (than boys)? - Canal excavation
The work crew will excavate 1/4 of the channel on the 1st day, and 1/2 of the remainder on the 2nd day. Third day 1/3 of what she dug the second day. What part of the canal in km still needs to be dug after the third day, if the length of the canal is 72 - Two numbers
The difference between the two numbers is 7. Their product 144. What are the numbers? - Unknown number 5
I think of an unknown number. If we enlarge it five times, then subtract 3, and the result decreases by 75%, we get one greater than the number. What number am I thinking? - Store
Peter paid 3 euros in-store, more than half the amount on arrival at the store. When he left the shop, he had 10 euros in his wallet. How many euros does he have upon arrival at the store? - Number operations
If I add the ratio, the product, the difference, and the sum of the unknown number and the number 2, I get the number 72. What is this unknown number? - Candy
Peter had a sachet of candy. He wanted to share it with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss eight candies. How many friends did Peter have?
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