Math practice for 13 year olds - page 222 of 428
Number of problems found: 8556
- Diamond circumference calculation
In the diamond ABCD, the angle BAD is 60°; the length of the diagonal BD is 7 cm. Calculate the circumference of the diamond. - Block dimension ratio
The block's dimensions are in the ratio 16:12:8, and the sum of these dimensions is 240 decimetres. What are the dimensions of the block? - Math grade distribution
From the quarterly work in mathematics in the eighth grades, 1/3 of all pupils got a one, 2/7 of all pupils got a two, 5/8 of the rest got a three, 8 pupils got a four, and 4 got a five. How many students wrote a paper? How many got a one, a two, and how - Betting winnings division
Fero and Robert bet €8 on the result of a football match. Fero contributed €3.60 and Robert the rest. To their surprise, they won €60. How should they divide the collected money fairly? - Water mixing
We mix 2 liters of water at 100 degrees Celsius warm and 18 liters of water at 32 degrees Celsius warm. What temperature will the water have after mixing? - Briefcase code options
Ferko received a briefcase with an adjustable three-digit code for his birthday. How many options do you have to set the code if you like a number with two sevens? - Shareholders and profit
The company distributed the profit among the shareholders in the ratio of 2:3:4:7. What was the total profit in the company if the last shareholder received € 1,400? - Stream cleanup calculation
The scouts decided to clean up the stream outside the town. On the first day, they cleared half of the total length of the stream. On the second day, 2/7 of the entire length. On the third day, they cleared a third of what was left, and on the fourth day, - Pancake baking calculation
Mom baked pancakes and put them on a plate. After Mišo had eaten three-sevenths of them, his brother Peťo came and took three-quarters of the pancakes from the plate. In the end, Jana finished the remaining 7 pancakes. How many pancakes did mom bake? - Copper heat calculation
What heat do we need to supply a copper body weighing 8 kg to raise its temperature by 136 degrees Celsius? - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm. - Chocolate purchase calculation
The kindergarten purchased 40 chocolates of two types. Dairy is sold after 16 CZK per piece, and hazelnut after 11 CZK per piece. They paid a total of CZK 565. How many chocolates were there? - Tank water remaining
They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimension - Runners
If John has a running speed of 3.5 miles per hour and Lucy has a speed of 5 miles per hour. If John starts running at 10:00 AM and Lucy starts running at 10:30 AM, what time will they meet? (as soon as possible) - Cuboid surface calculation
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm². - Funnel radius calculation
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge. - Ladder height calculation
The 8-meter-long ladder is attached to the wall at an angle of 22 °. How high does it reach? - Strawberry harvest calculation
On the farm, twelve part-timers planned to harvest a crop of strawberries in 5 days. On the fifth day in the weather forecast, they reported rain. How many part-timers will they need to harvest the strawberries in four days? - Four-digit number creation
How many can we create four-digit numbers that digits can repeat from digits 0,1,2,3,…, 9? - Pizza percentage remaining
The pizza has the shape of a circle and is divided into eight equal parts. My mother ate three parts. What percentage of pizza is left?
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