Math practice for 13 year olds - page 345 of 414
Number of problems found: 8279
- Footpath area
A footpath 50 cm wide circles the circular flowerbed, with a diameter of 3.6 m. Calculate the footpath area. - Bullet game
Three friends were playing bullets. They did not have the same number of marbles at the start of the game. They had them in a ratio of 2:7:5, while Mike and Jano had a total of 77 bullets. How many marbles did their friend Peter have at the beginning? Cou - Trapezoid drawing
Draw a trapezoid with arms 4 cm and 7 cm long and with bases 3 cm and 5 cm long - Birthday ages
Grandma and her granddaughter Barunka have a birthday on the same day. During six consecutive birthday celebrations, Grandma's age was always divisible by Barunka's age. How many birthdays did Grandma celebrate at the last of these six celebrations? Grand - Spanish learners
Two-thirds of girls and half of boys learn Spanish in the classroom. There are twice as many boys in the class as there are girls. What part of the class is learning Spanish? - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - December salary
The official had a monthly salary of 8,500 euros. During the year, they increased his salary by 15%, so he received a total of 112,200 euros for a year. From which month did they raise his salary? (1 = January .... 12 = December) - Bus passengers
There were a lot of people standing at the bus stop in the morning. Three-eighths of them got on the first bus, one-fourth on the second, and the remaining 9 on the third. How many people were at the stop from the beginning? - Reward sharing
Vlasta, Susan, and Vera shared the reward in the ratio of 2:8:5. Susan and Vera had 160 euros together. How old was Vlasta? - Tree planting
During the afforestation, 2,950 saplings were planted in three days. On the second day, 25% more saplings were planted than on the first day, and on the third day, 15% more than on the second day. How many saplings were planted during each day? - Prism
Find a prism's volume and surface area with a base of an equilateral triangle with a side of 7 dm long and a body height of 1.5 m. - Ring
The gold and copper alloy rings weigh 14.5 g and have a volume of 1.03 cm³. How much gold and copper does each ring contain? The metal densities are Au 19.3 g/cm³ and Cu 8.94 kg·dm-3 - Basket of fruit
A seller has fruit in six baskets. Each basket contains only apples or only pears, with the following numbers: 5, 6, 12, 14, 23, and 29. "If I sell this basket," the seller thinks, "I will have just as many apples as pears." Which bask - Animals count
Horses, sheep, and ducks graze in the meadow. Sheep are more than ducks. Sheep and ducks have a total of 100 heads and legs. Ducks and sheep are three times more than horses. How many horses are there? - Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer? - Rainwater tank
The garden tank for rainwater is cuboid in shape, the bottom of which is square, with a side 150 cm long and 80 cm high. How many 15-liter buckets do we need to drain the water from the tank? - Birthday
Brano received money from his uncle for his birthday. When he went to the store, he counted out loud: "If I buy chocolates for 1 euro and 30 cents each, I will have 60 cents left. But if I wanted to buy the same amount of chocolates for 1 euro and 40 cent - Mug and kettle
Aunt bought 6 identical mugs and one coffee pot. She paid €60 in total. A teapot was more expensive than one mug but cheaper than two mugs. Auntie remembered that all the prices were in whole euros. How much € was one mug, and how much was a kettle? - Farm summerjob
The company employed a student on the farm for the entire month of June (including weekends). They paid him € 16 for one day and an all-day meal. If he did not work any day, he paid € 6 for food. How many days did the student work when he earned € 348 in - Multiplicative inverse
Which number is to multiply the number by to get the number: a) 1 b) m
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