Math practice for 13 year olds - page 302 of 420
Number of problems found: 8400
- Friction coefficient
A body weighing 150 kg pulls with a force of 375 N. What is the coefficient of friction? - Prism dimensions
We will double one block dimension and reduce the other by a third. How does its volume change? - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels? - Rectangle 35
Find the rectangle area when the diagonal is equal to 30 cm and the width is double the length. - Circle and rectangle
The circle describes a rectangle with sides of 11.7 cm and 175 mm. What is its length? Calculate the area of the circle described by this circle. - 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? - Toy choices
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. - Dividing money
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. - Embankment volume
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 - Gasoline tank
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. - Train distance
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? - Oil shipment
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? - Student meals
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
Jane 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? - Diesel tank
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? - Satin
Sandra buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4 m. What is the length of the piece of satin?
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