Math practice for 13 year olds - page 308 of 434
Number of problems found: 8665
- Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle?
- Square
Dan's father has a square of 65.25 milligram square of wire with a diagonal. How will the square be big when one mm weighs 7 mg?
- Possibilities 5058
Adamko is two years old and does not want to clean his toys. One night, the toy fairy came to his room and saw legos, a police car, blocks, and a train lying on the floor. The fairy decided to take 3 toys from Adamko. How many choices does a trio of toys
- Roses 2
Aunt Rose went to the flower shop to buy three rose bouquets. The flower shop had white, yellow, and red roses. How many different flowers bouquets can a flower make for Aunt Rose create? Write all the bouquet options.
- Outstanding 5054
I have CZK 6,155, and I need to divide it as a percentage into two outstanding amounts: CZK 12,000 and CZK 35,000. How much money will I send to each of them? Thank you for your answer.
- Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm.
- Cross-section 5048
A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build
- Quadrilateral 5047
How many liters of gasoline are in the tank in the shape of a quadrilateral prism with the base of a diamond with a side of 25 cm and a height of 15 cm? The gasoline reaches 4/5 of the tank height, and the tank height is 50 cm.
- Bratislava 5046
A train will leave Bratislava for Trnava. Five minutes later, the train leaves Trnava for Bratislava at twice the speed. Which train will be closer to Trnava when they meet?
- Expensive 5040
The auto parts store received a shipment of 30 pieces of motor oil for €396. More expensive oil costs €15, cheaper €12. How many amounts of more expensive and cheaper oil were in the shipment?
- Regularly 5036
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a
- Crown coins
Jana saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns?
- Trees - orchard
The 3/5 trees are apple trees, and 1/3 of the trees are cherries. The remaining five trees are pear trees. How many trees are in the orchard?
- Cylinder 5032
The tank has the shape of a rotating cylinder with a height of 10 m. The width of the level is 1 m, and the level is 20 cm below the top of the cylinder. How much diesel is in the tank?
- Individual 5028
Mrs. Bartova is buying apples. The Bohemia variety is CZK 4 more expensive per kilogram than the Golden variety. Mrs. Bartova bought 10 kg of Golden and 15 kg of Bohemia. She paid a total of 360 kc. How many crowns did the individual types of apples cost?
- Two-hundred-crown 5025
Mr. Novák has 20 banknotes in his wallet and 6100 crowns. Some banknotes have a value of CZK 200. Some have a value of CZK 500. How many two-hundred-crown bills does Mr. Novák have in his wallet?
- Satin
Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin?
- Three-room 5021
The house has apartments of three sizes. One-sixth are four-room, and one-third are two-room. There are 160 three-room apartments. How many two-room apartments are there?
- Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
- Railway Tunnel
The largest tunnel in the Slovak Republic on the Banská Bystrica-Diviaky route measures 4,698 m, which was only 8.7% of the length of the longest railway tunnel at the time in the world, the Seikan in Japan. Calculate the length of this tunnel
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