Math practice for 13 year olds - page 386 of 422
Number of problems found: 8427
- Unknown number 10
The number first increased by 30%, then by 1/5. What percentage we've increased the original number? - Potatoes 1537
Potatoes contain 65% starch. How many potatoes do we need to get 13 kg of starch? - Barrel
The barrel is filled with water up to 57% of its capacity. When we add two buckets will be filled to 73% of their capacity. What is the volume of a barrel if the volume of the bucket is 12 liters? - Crowns
1180 crowns are divided into three: A got 20% less than B, and C got 15% more than B. How many got A, B, and C? - Repair company
The company repairs cars. On the first day, repair half of the contract; on the second day, half of the rest; and on the third day 8 residue cars. How many total cars did the company repair? - Family
Martin has just as brothers and sisters. But his sister Jana has two times more brothers than sisters. a) How many children are in this family? b) How many boys and how many girls are in the family? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Square and circle
Into the square is an inscribed circle with a diameter of 10 cm. What is the difference between a circumference square and a circle? - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Minute-hand
How long will a large (minute) hand travel on the clock for 48 minutes if its length is 56 cm? - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference. - Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - The chord
Calculate a chord length where the distance from the circle's center (S, 24 cm) equals 16 cm. - Plumber
The plumber had to cut the metal strip with dimensions of 380 cm and 60 cm to the largest squares to no waste. Calculate the length of the sides of a square. How many squares cut it? - Parking
One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking? - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit? - Tractors
Six tractors started plowing the field, and work together took 12 days. Agronomist hesitates to: A) after two days, withdraw two tractors or B) after three days, withdraw three tractors. Help him which of these two cases will be plowing done sooner. - Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally? - Spartakiada
Practitioners lined up in rectangles with a row with four, five, or six exercisers, one always missing an entire rectangle. How many exercisers were on the field, if they have estimated not been more than 100?
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