Reason - practice for 14 year olds - page 22 of 40
Number of problems found: 799
- Mathematics 6522
There are more than 20 but less than 40 students in the class. A third of the pupils wrote the mathematics test with a one, a sixth with a two, and a ninth with a three. Nobody got a four. How many students in the class wrote the test on a five? - Bridge cards
How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts? - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Repair pipe
Twenty workers had to repair broken pipes in 30 days. After fourteen days, four laborers joined them. How long did the pipe repair work last? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Pupils 6434
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there? - Young mathematician
One young mathematician was bored again. He found that the average age of people in the room where the seminar equals its count. Then his 29-year-old brother entered the room. Even then, the average age of all present was the same as the count of people. - Accommodated 6380
The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people? - Beginning 6334
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - Together
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee) - Oranges
The mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there? - A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Birthday 6277
Peter got a new bike for his birthday. His bike was equipped with many gears. How many gear options does Peter have if you have three wheels at the front and eight wheels at the back? List them all - Soaps
Each box has the same number of soaps. A quarter of all boxes contain only white soaps, and in each of the remaining 120 boxes, there are always half the white soaps and half the green. White soaps total 1200. (a) the number of all soap boxes; (b) the sma - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Average age
The company of five people has an average age of 46 years. The average age of the first four is 43 years. How many years has the fifth member of this company? - Yellows 6118
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have? - Test points
If you earned 80% of the possible 40 points, how many points did you miss to get 100%? - Equilateral triangle
A square is inscribed into an equilateral triangle with a side of 10 cm. Calculate the length of the square side.
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