Reason + direct relationship - practice problems - page 3 of 4
Number of problems found: 70
- Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88? - Divers
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers? - Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Election mathematics
In elections, 12 political parties received this shares of voters: party A 56.2 %party B 8.5 %party C 8.2 %party D 6.2 %party E 6.1 %party F 5.5 %party G 3.2 %party H 2.1 %party I 2 %party J 1 %party K 1 % Calculate what the shares acquired in the parliam - Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Washer
The washing machine drum washes at 71 RPM. The washing machine motor pulley has a diameter of 8 cm. What must be the diameter of the drum machine pulley when the motor is at 351 RPM? - Equator
Suppose that a tourist went on foot over the Globe equator. How many meters more track made his hat on his head as the shoes on your feet? The radius of the Earth is $R km, and the height of the tourist is $v m. - Minutes 3475
A scribe with an average speed of 250 strokes per minute would write text in 16 minutes. How many minutes longer would she write the exact text at an average rate of 200 beats per minute? - Construction 2798
The truck driver drives bricks for construction. If he went three times a day, he would produce the bricks needed for construction in 12 days. How many times a day does he have to go to finish work three days earlier? - Sea on the Moon
Assume that the Moon has a sea with the same composition as Earth's (it has the same density of saltwater). Calculate the boat's dive floating in the sea on the Moon when on Earth has dive 3.9 m. Consider that the Moon has 6.5-times smaller gravitational - Embankment 56451
Twenty men will build a dam in 36 days if they work 10 hours daily. How many hours a day do 30 men have to work if the embankment is to be completed in 16 days? - Identical 8831
In the triangle ABC, the point P lies closer to point A in the third of the line AB, the point R is closer to the point P in the third of the line P, and the point Q lies on the line BC so that the angles P CB and RQB are identical. Determine the ratio of - Produced 7037
Beetles grown on leaves from 40 mulberry trees can produce 40 kg of cocoons yearly. 100 m of silk is produced from this amount. How much silk can be produced from cocoons grown on the leaves of 200 mulberry trees? - Nectar
Nectar collected by bees contains 70% water. The nectar of the same process produces honey which has 19% water. How many kilograms of nectar do bees need to collect to make 1 kg of honey? - Intersections 49433
Draw a graph of the function given by the equation y = -2x +3, determine its intersections with the coordinate axes, and complete the missing coordinates A [3;? ], B [?; 8]. - Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary? - Cyclist
The cyclist goes uphill 10 km for 50 minutes and downhill minutes for 29 minutes. Both applied to the pedals with the same force. How long does he pass 10 km by plane? - Smaller 4835
There are two gears in the wall clock. The larger wheel has 54 teeth and the smaller 24 teeth. How many times does the small wheel turn if the big one turns four times? - Four-fifths 2764
There were 60 people at the rink, four-fifths of which were children under 15 years of age. A ticket for children under 15 costs €1 and for adults €2. a) How many children were there at the rink? b) How many adults were there? c) How many euros did they c - Floating floor
In the new building is considered a floating floor worker in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in 4 rooms with a total area of 90 m²?
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