Reason - high school - practice problems - page 29 of 31
Number of problems found: 610
- 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? - 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? - Train
The train is running at speeds of 96 km/h. From the beginning of braking to full stop, the train runs for 3.3 minutes. If the train slows the braking equally, calculate the distance from the location where you need to start to brake.
- Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line? - 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.... - Cinema
How many ways can 11 free tickets to the premiere of "Jáchyme throw it in the machine" be divided between 6 pensioners? - 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? - Chocolates
In the market, we have 3 kinds of chocolates. How many ways can we buy 8 chocolates?
- 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. - Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses? - n-gon
Gabo draws n-gon, which angles are consecutive members of an arithmetic sequence. The smallest angle is 70° biggest 170°. How many sides have Gabo's n-gon? - Camel
Camel's owner wants to get out of the city into an oasis. He bought 3000 bananas, which he wants to sell in the oasis. However, an oasis from the city divided 1,000 kilometers of desert. Camel can carry up to 1000 bananas and eats one banana for every kil - Sequence
In the arithmetic sequence, is a1=-1, d=4. Which member is equal to the number 203?
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Reason - math word problems. Examples for secondary school students.