Math practice for 13 year olds - page 383 of 413
Number of problems found: 8260
- Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group? - Angle
A straight line p given by the equation y = (-8)/(3) x (+)76. Calculate the size of the angle in degrees between line p and y-axis. - Classroom
In a class are 44 pupils. Boys are 8 less than girls. How many boys and girls are in the classroom? - Nuts, girl and boys
Milena collected fallen nuts and called a bunch of boys to let them share. She took a condition: the first boy takes one nut and a tenth of the rest, the second takes two nuts and a tenth new rest, the third takes three nuts and a tenth new rest, and so o - Seven-segmet
Helen is amused that he punched a calculator (seven-segment display) number and used only digits 2 to 9. Some numbers have the property that She again gave their image in the axial or central symmetry some number. Determine the maximum number of three-dig - Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge? - Trousers
Jerry bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jerry's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jerry's high. - Gold coin
The gold coin contains 966 permille pure gold, which is 8.7 g. What is the weight of the coin in grams? - Dealer
Dealer sells digital camera for € 747. Thirty percent of the price was his profit. After some time, decreased interest in selling the camera and reduced its sales price by 11 %. How much percent of the new price now is the dealer's profit? Round the resul - Translations
Suppose I am going to translate the book six pages per day. Suppose I translate it four days earlier than if I translated five pages a day. If I translate four pages a day, I translate it for how many days.....? - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism. - Glass
Peter broke the window glass with sizes 110 cm and 90 cm. One square meter of glass costs 15 Euro. How much money is needed to buy new glass? - Hockey players
After we cycle, five hockey players sit down. What is the probability that the two best scorers of this crew will sit next to each other? - Sinus
Determine the smallest integer p for which the equation 3 sin x = p has no solution. - Hřiště
The map scale is 1: 5000. The playground is rectangular and, on the map, has dimensions 4 cm and 2 cm. What is the area of the playground in square meters in reality? - Mystery of stereometry
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Snowman 2
On the medal, which has the shape of a circle with a diameter 39 cm, is sketched a snowman so that the following requirements are met: 1. snowman is composed of three circles, 2. space over the snowman is the same as under it, 3. diameters of all circles - Climb
For horizontal distance 3 km, road rise by 4.6 m. Calculate the road pitch in ‰ (per mille, parts per thousand). - Hexagon 5
The distance of parallel sides of regular hexagons is 97 cm. Calculate the length of the radius of the circle described in this hexagon. - Medal
Calculate the approximate weight of the gold Olympic medal if its diameter is 7 cm and its thickness 6 mm. The density of gold can be found in tables or on the Internet.
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