Math practice for 13 year olds - page 80 of 414
Number of problems found: 8262
- Bus car pursuit
At 7:30 AM, the bus left at a speed of 45 km/h, and at 8:00, a car behind it started at 65 km/h. Where and when did they meet? - Triangle base perimeter
In an isosceles triangle, the side a=b= 21 cm, and the triangle's height is 19 cm. Find out the base and perimeter of the triangle (sketch, calculation, answer). - Pyramid height volume
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer). - Square ratio comparison
Two squares are given. The first has a side length of 5 cm, the second 10 cm. Write the ratio of: for a- of their sides for b- their perimeters for c- their areas - Petr notebook price
Peter paid CZK 288 for 12 new notebooks. How much would he pay for 15 identical notebooks? - If we want
A children's pool has the shape of a cylinder with a base diameter of 4 m and a depth of 50 cm. a) Calculate the volume of water in litres that the pool can hold when filled to the brim. b) If we fill the pool to only 75% of its capacity, how many litres - Coin heads probability
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction. - Vitamin doses
Children and adults take the recommended daily dose of vitamins throughout the year. According to the package insert, the recommended daily dose for a child is half that of an adult. Two adults together consume one pack of vitamins in 30 days. How many da - Room lino layout
The room has dimensions of 11 m x 5 m. Lino will be purchased for the room, which is sold in a roll with a width of 2 meters. How many meters of rope will be needed, and how much will be left? Consider both options for laying the line (lengthwise and widt - Gradient of the railway
Calculate the gradient of the railway line, which has an elevation of 22.5 meters in a section of 1.5 kilometers. For railways, the result is given in h (per mille). - Pyramid volume ratio
A regular quadrilateral pyramid with base edge length a = 15 cm and height v = 21 cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Barrel filling time
The water barrel filled to 2/3 of its volume in 42 minutes. How long will it take to fill the barrel? - Perpendicular parking
Which parking lot for 5 cars occupies a larger area, perpendicular or inclined at an angle of 45°, and how much? The car has dimensions of 4 m and 2 m. - Lottery ticket probability
In the lottery, where 326 numbers are drawn, Maros marked 7 numbers on the ticket. Kevin marked 11 numbers in another lottery, and 421 numbers were drawn. Which of these friends has a better chance of winning? - Beetle cabbage pursuit
Theodore the beetle set off from the house towards the cabbage leaf at a 20 m/min speed. Two minutes later, Max the beetle followed him at 24 m/min speed. They both came to the cabbage leaf at the same time. How far was the cabbage leaf from their house? - Park path triangle
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9 cm and 15 cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Price discount percentage
The price before the discount is 1800. The price after the discount is 1500. What is the discount percentage? - Revolutions of cylinder
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Beer barrel percentage
In the morning, the waiter has 200 glasses with a volume of 0.3 liters and 100 large glasses with a volume of 0.5 liters each. He starts tapping into those glasses from the 100-liter barrel. In the evening, he will have half of the small beers and a fifth - Dance course participants
Two hundred fifty-two participants signed up for the classical ballroom dance course. There were 2 times more girls than boys. How many girls and how many boys applied?
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