Maths practice for 14 year olds - page 168 of 370
Number of problems found: 7390
- Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism.
- Unknown 23401
27% of the unknown number is 12 fewer than 33% of the same number. Find an unknown number.
- Gold, silver, bronze
How many ways can we divide gold, silver, and bronze medals if six people compete?
- Tournament 23371
The goalkeeper caught 188 shots during the tournament and achieved a success rate of 94%. How many shots per goal ended up in the net?
- The cube
The cube and cylinder weigh the same as three 20-gram weights. Three cubes and one cylinder weigh the same as two cylinders and one cube. How many grams does one cube weigh (and one cylinder)?
- IPhone eshop
An e-shop employee has lost some sales records and cannot now calculate the ratio by which the number of iPhones sold increased compared to last year. Help him calculate the ratio, knowing that the ratio of the number of iPhones sold and the ratio of the
- Cone-shaped 23331
For his birthday, Jirka made a cone-shaped hat out of paper. The side of this cone is 35cm long, and the radius of its base is 20cm. How much dm of paper did Jirka use to make it? Thank you
- Transported 23301
The material, which weighed 18.2 tons, was transported by three cars. The second drove 20% more than the first, and the third 20% more than the second. How many tons did one car transport?
- The angles
The angles in the triangle are in the ratio 12:15:9. Find the angles.
- Defective 23221
The factory sets a standard that 2% of products may be defective. Last week, out of 1,250 products, 32 were defective. How many defective products were the standard exceeded?
- Together 23211
Lenka is three times younger than her brother Lukas; they are 20 years old. How old is Lenka, and how many are Lukas?
- Brother 23201
Karel would rake the leaves in the garden alone in 24 minutes. His younger brother would take 30 minutes. How long would they dig a garden if Karel digs alone for 6 minutes and his brother comes to his aid?
- The manufacturer
The manufacturer found that 3% of the plates produced had a malfunction. Of the complaint, 75% are first and 25% second. What is the probability of producing first and second-class plates?
- Academy 23151
There are 180 pupils in the first year of the academy. Seven girls for every five boys, so there are how many girls in the year?
- Probability
How probable is a randomly selected three-digit number divisible by five or seven?
- The coal
The coal stock would be enough to heat a larger room for 12 weeks and a smaller one for 18 weeks. It was heated for four weeks in both rooms, then only in the smaller one. Thus, the coal stock was enough for how long?
- The right triangle
The right triangle ABC has a leg a = 36 cm and an area S = 540 cm². Calculate the length of the leg b and the median t2 to side b.
- Concentric circles and chord
In a circle with a diameter d = 10 cm, a chord with a length of 6 cm is constructed. What radius has the concentric circle while touching this chord?
- Cllub flag
The children had the club flag sewn on. The red color covered 2/20 of the flag's total area, the blue area a fifth, and the yellow 19% of the entire area. What percent is the green area occupied?
- The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive?
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