Themes, topics - math word problems - page 94 of 167
Number of problems found: 3338
- Z6 – I – 6 MO 2019
Mother studied multi-digit numbers in which odd and even digits regularly alternate. Those that start with an odd digit she called comical and those that start with an even digit she called cheerful. (E.g. The number 32387 is comical, the number 4529 is c
- Where and when
The truck left Kremnica at 11:00 h at a speed of 60km/h. At 12:30 h, the passenger car started at an average 80km/h speed. How many kilometers from Kremnica will the passenger car reach the truck, and when?
- Connected 12261
At a voltage of 16 V between the ends of the resistor, a current of 200 mA flows through the resistor. What current will flow through the resistor when connected to 48 V?
- Measurement 12251
The measurement showed that a current of 160 mA flows through the appliance at a voltage of 4 V. What current flows through this appliance when connected to a voltage of 12 V?
- Parallels and one secant
There are two different parallel lines, a, b, and line c, that intersect the two parallel lines. Draw a circle that touches all lines at the same time.
- Whenever 12151
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken)
- Six students
Two pupils painted the class in four hours. How long will it take for six pupils?
- Harvest time
Grandma and granddaughter Julka reap currants in 15 hours of working together. Julka herself would have currants ten days after 6 hours of work a day. Find by what percentage the grandma's harvest time was shortened when the granddaughter was involved in
- Two villages
On the map with a scale of 1:40000 are drawn two villages actually 16 km away. What is their distance on the map?
- Mixture of nuts
We should prepare the mixture of nuts from almonds, peanuts, and nuts cashew ratio of 1:2:3 (respectively). The price of almonds is 150 CZK/kg, the price of peanuts is 140 CZK/kg, and the price of cashew nuts is 180 CZK/kg. The price of the mixture is det
- Blueberries
Five children collect 4 liters of blueberries in 1.5 hours. a) How many minutes do three children take 2 liters of blueberries? b) Eight children will take how many liters of blueberries in 3 hours?
- Positional energy
What velocity in km/h must a body weighing 60 kg have for its kinetic energy to be the same as its positional energy at the height of 50 m?
- Floating of wood - Archimedes law
Wooden balsa block has a density of 200 kg/m³ and a volume of 0.02 m³ floating in alcohol. Alcohol density is 789 kg/m³. What will be the volume of the floating part of a balsa block?
- Alcohol
6l 48% alcohol, how much must we add 52% alcohol to give 50% alcohol?
- Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 seconds?
- Agricultural 11691
The tractor leaves the field and heads towards an agricultural cooperative 14 km away at an average speed of 20 km/h. Twenty minutes later, an agronomist followed him from the same field on a motorcycle at an average speed of 45 km/h. Will he catch up wit
- Propeller
The aircraft propeller rotates at an angular speed of 200 rad/s. A) What is the speed at the tip of the propeller if its distance from the axis of rotation is 1.5 m? B) What path does the aircraft travel during one propeller revolution at a speed of 540 k
- Pozdechodim 11611
Mr. Pozdechodim missed the bus at 10.05. At 10.10, he passed Jindra. The bus travels at an average speed of 60 km/h and Jindra at 80 km/h. Will they catch the bus, which is 20 km from the next stop?
- Budějovice 11601
At midnight, a 40km/h truck will leave České Budějovice for Turnov. At 1.5 hours after midnight, a 70 km/h car drove against him. The distance between České Budějovice and Trutnov is 223 km. At what time and how far from Trutnov will the two cars meet?
- Particular 11591
The particular map has a scale of 1:75000 a) The distance between the two places on the map is 42mm. What is the actual distance? b) How long would the distance show, 15.75 km on the map?
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