Math practice for 13 year olds - page 392 of 426
Number of problems found: 8512
- Three days
During the three days, I sold stationery 1490 workbooks. The first day sold workbooks more than the third day. On the second day, 190 workbooks sold in less than the third day. How many workbooks are sold each day? - Coins
On coins found, it was stated that from the year 87 BC. Is it right? - Otto and Joachim
Otto and Joachim go through the woods. After some time, Otto becomes tired and makes 15 minutes stop. Joachim, meanwhile, continues at 5 km/h. When he set off again, Otto had the first running speed of 7 km/h, but it kept only 30 sec, and 1 minute must co - Iron sphere
Iron sphere weights 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Tank and water
We poured water into a cylindrical tank with 3.5 liters. If the tank's base diameter is 3 dm, how high is the water level? - Rhombus
PQRS is a rhombus. Given that PQ=2 cm & height of the rhombus is given 1.3 cm. Calculate its area. - Freight and passenger car
The truck starts at 8 pm at 30 km/h. The passenger car starts at 8 pm at 40 km/h. Passenger arrives in the destination city 1 hour and 45 min earlier. What is the distance between the city of departure and the destination city? - Three digits number
How many are three-digit integers such that they have no digit repeats? - Equation with fractions
Solve an equation: 1- (2x-5)/(6) =3- (x)/(4) It is an equation with fractions. - Chess
How many different ways can you initiate a game of chess (first pass)? - Three workers
The company rewarded three workers, CZK 9200, and their work divided the money. The first worker gets twice the second, the second three times more than the third. How much money did each worker receive? - Tablecloth
I embroider a tablecloth in 20 days, but if I embroider for 3/4 hours a day, I have embroidered it for 15 days. How long do I embroider a day? - Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water? - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it? - Sisters
Sisters Hannah and Vera usually ride their bicycles to their grandmother's house. The journey takes Hannah 30 minutes and Vera 20 minutes. How long will it take Vera to catch up with Hannah if she starts from home five minutes later? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Parcel
Both dimensions of the rectangular parcel were increased by 31%. By how much % has it increased its acreage? - Simply equation
Solve this equation for x: 9x-6(x-1)=5(x+2)-14 - Unknown integer
Find the smallest integer: Divided by 2, the remainder is 1. divided by 3. The remainder is 2. divided by 4. The remainder is 3. Divided by eight, the remainder is 7. Divided by 9, the remainder is 8. - Parallelogram ABCD
The area of parallelogram ABCD is 906 cm². Points M and N are the midpoints of the sides AB and BC. What is the area of a quadrilateral MBND?
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