Reason - practice for 14 year olds - page 40 of 42
Number of problems found: 838
- Barrel 2
The empty barrel weighs 7 kg. When it is filled with water up to 45% height, it weighs 60 kg. How heavy is a barrel full of water? - Combi-triangle
Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - 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? - Circle
The circle is given by center on S[-7; 10] and maximum chord 13 long. How many intersect points have a circle with the coordinate axes?
- Sales vs profit
Apple sells 22 percent less computes than Acer, but its sales are 2.2 times higher than Acer. How many times are Apple computers more expensive than Acer? - The professor's birthday
Professor of mathematics had 44 birthdays. The director congratulated him. The professor asked the director: "And how old are you?" The director replied: "I'm exactly twice as many years as you were when I was old as to you today." How old is the director - Tram
In the three-part tram went 206 passengers in front of others, 226 after others and in the middle half. How many passengers went in the tram total? - Accidents
The count of accidents in 1995 caused 8780 women, which is 8.4%. How many men caused the accidents? - Bottle
Bottle with wine costs 42 USD. Wine is 11 USD more expensive than the empty bottle. How much is the bottle itself?
- Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 22, what is the area of the hexagon ABCDEF? I do not know how to solve it simply.... - Sea water
Seawater contains about 5% salt. How many dm³ of distilled water must we pour into 39 dm³ of seawater to get water with 1.6% salt? - Monty Hall
Suppose you're on a game show and have the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. What is the - VAT
John paid 1000 Euros in store for purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%. - Drinking water
A man drinks a keg of water in 36 days, and a woman drinks in 65 days. How many days do they consume a keg together?
- River
From the observatory 11 m high and 24 m from the riverbank, river width appears in the visual angle φ = 13°. Calculate the width of the river. - Two cars
Two cars started against each other simultaneously to journey long 346 km. The first car went 53 km/h and the second 53 km/h. What distance will be between these cars 20 minutes before a meeting? - Team
The football team has 11 players. Their average age is 20 years. During the match, one player withdraws due to injury, and the team's average age is 18. How old was the injured player? - Garden
The square garden area is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
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