Math practice for 13 year olds - page 390 of 425
Number of problems found: 8495
- RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs? - Nuts
How many must we have at least nuts if we can equally divide it among 10 children, 12 children, or 15 children and any nuts left? - Ski lessons
The ski course attends 80 pupils. They live in triple and quadruple rooms. Count if rooms are the 23. How many are triple and quadruple rooms? - Triangle
Calculate the triangle sides if its area S = 630 and the second leg is shorter by 17. - Three friends
The three friends spent 600 KC in a teahouse. Thomas paid twice as much as Paul. Paul was half less than Zdeněk. How many each paid? - Isosceles trapezoid
Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm. - Cuboid - edges
The sum of all edges cuboid is 31 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid. - Pumps
Pump drawing water at velocity 3.5 liters per second from a construction trench takes 35 minutes. a) Find out how many minutes the water would run out of the trench pump that draws 7.4 liters of water per second. b) What pumping velocity would you have ha - Mushrooms from the forest
Magda and Tereza go to pick mushrooms. Found 70 mushrooms. Magda found that between fungi, 5/9 bedel was found. Tereza discovered that she found 2/17 champignons among fungi. How many mushrooms were found, Magda? - Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, and the plan is expressed by a straight line 12 mm long? - Box of chocolates
In a box of chocolates were 16 candies. Christopher and Luke were distributed: a) Christopher had about four candies over Luke, b) Christopher had about six candies less than Luke, c) Christopher had three times more sweets than Luke. How many had each bo - Arithmetic average
The arithmetic mean of the five numbers is exactly 8. The sum of these four numbers is 30. What is the fifth number? - Friends in cinema
5 friends went to the cinema. How many possible ways can they sit in a row if one of them wants to sit in the middle and the remaining place does not matter? - Workhorses
A team of colleagues did the work in 20 days. After adding two colleagues from the beginning, the team completed the work in 15 days. How many members has the colleague team? - The camp
At the end of a camp, 6 friends exchanged address cards. Each friend gave their card to each of the other 5 friends. How many cards were exchanged in total? - Shoes
Peter decided to measure the shoe size of his three friends. Measured accurately and written as follows: Venda and Jack together 52 cm Jenda and Dennis together 58 cm Zdenda and Vince together 54 cm a) How long measure Vince, Jack, and Dennis shoes togeth - Journey
The road from A to B measures 11.5 km. Firstly, up the hill, then level plane, and then downhill. Tourists go uphill at 3 km/h, on planes at 4 km/h, and downhill at 5 km/h. From point A to B, it went 2 hours, 54 minutes back, 3 hours, and 6 minutes. How l - Sisters
Sisters Susan Helen and Vera have saved for a new bike. Susan save € 90, Helen save € 90 and Vera save € 82. Missing 30% gave them their mother. What is the price of the bike? - Purchase
The mother bought five boxes of milk and 7 kg of potatoes and paid a total of CZK 147. The aunt bought seven boxes of milk and 3 kg of potatoes and paid 131 CZK. What is the price of one carton of milk and 1 kg of potatoes? How would CZK together have bee - Pair
The pair have been together 57 years. He has two times as she was when he was equal as she has today. How old are they?
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