Maths practice for 14 year olds - page 155 of 379
Number of problems found: 7575
- Indicated 29611
In the hotel, the room numbers are indicated by a 3-digit number and one of the letters A B. The first digit indicates the floor number. How many rooms can they have in the hotel?
- Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base.
- The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
- Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid
- Kilometers 29551
The Poznáváky family traveled by car for 3 days in Slovakia. On the first day, they covered twice as many kilometers as on the second day, and on the third day, they covered 50 kilometers more than on the second day. They drove a total of 700 kilometers i
- Brothers 29471
The two brothers are 41 years old. One is seven years older than the other. How old is your younger brother?
- Three-quarters 29441
Peter bought a calculator. He saved three-quarters of its price himself, and half of the remaining amount was given to him by his grandfather. He still lacked 7 euros, which he borrowed from his brother. How much did the calculator cost?
- Rediscounted 29431
At the beginning of the season, roller skates became 15% more expensive. In the autumn, they were rediscounted by 15% of the new price. Their price after the price increase and discount was € 195.50. What was their original price?
- Skis
Skis, which cost € 800, became 25% more expensive before the season. After the season, they became cheaper again by 25%. How many euros did the skis cost after the discount?
- Air draft
The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and the largest possible number b, the smallest possible number c, a n
- Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
- Drawing from a hat
When drawing numbers from a hat from 1 to 35, we select randomly given numbers. What is the probability that the drawn numbers will be divisible by 8 and 2?
- Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed?
- Holidays 29331
During the holidays, the seller earned € 21,060. He earned 40% more on Saturday than on Friday. He earned € 2,500 less on Sunday than on Saturday. How many euros did the seller make on Saturday?
- Raised coffee cost
The farmer raised coffee from CZK 31 to CZK 35.50. First, calculate how many CZK crowns it raised and the percentage of the original price (base)—round the result to one-tenth of a crown.
- Quadrilateral pyramid,
A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18cm. Calculate 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid
- When I
When I am as old as my older brother is today, my brother will be twice as old as I am today. a) How old is my brother if I am 8 years old today? b) How old am I if my brother is 21 today?
- Say we
Say we have 70 voting delegates, and we need a 2/3 vote. What would that number be? It is also the same as above, but it converts to percentages in this virtual world. What would the % number of positive votes be?
- Screws
The box contains eight iron, six brass, and four titanium screws. What is the probability that the randomly selected screw will not be brass?
- Students
Students solve word problems. They received 3 points for each correctly solved task. Four points were deducted for a task that was not solved or incorrectly solved. Tomas solved a total of 15 tasks and scored 24 points. How many tasks did he solve correct
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