Reason - practice for 14 year olds - page 4 of 40
Number of problems found: 798
- Distances 79974
The picture shows three villages, A, B, and C, and their mutual air distances. The new straight railway line is to be built so that all the villages are the same distance from the line and that this distance is the smallest possible. How far will they be - Repeated 79734
How many numbers a) less than 500, b) greater than 500 can be formed from the digit 0,1,5,8,9 so that no digit is repeated? - Different 79704
Thirty-two boys and 34 girls came to the dance. How many different dance pairs can they make, given that each team is given: they can only dance for 1 minute and then take turns in 5 seconds? Calculate how long the dance evening would last for all the pai - Determine 79634
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Víra, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses.
- Completely 79274
Kitchen cabinets are sold in widths of 80 cm, 60 cm, and 40 cm. Which assembly can we choose if we have a wall 3.5 m long and we want to completely fill it with an assembly that also includes a dishwasher, the width of which is 60 cm, and the stove is 50 - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa - Owl A,B,C
Owl a gives a hoot every 7 minutes. Owl b gives a hoot every 9 minutes. Owl c gives a hoot every 5 minutes except when he has heard owl a or b give a hoot within the previous 2.5 minutes. If this happens, owl c doesn't give a hoot. If all three owls give - Socks
Ben's favorite colors are blue and green. He has six blue socks and six green socks in his sock drawer. Unfortunately, they are completely mixed up, and one day, he has to grab some socks to wear in complete darkness. How many socks (minimum) does he have - AMJ
There are three siblings, Anne, Maya, and Jane. Anne gave Maya and Jane as much money as each had. Then Maya gave Anne and Jane as much money as each had. Then Jane gave Anne and Maya as much money as each had. Then each of the three had 128 pesos. How mu
- Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there? - There 25
There are four red marbles and six blue marbles in a bag. What is the probability of picking up one blue marble and then one red marble? (assume that you keep the blue marble out of the bag) - A committee
A committee of 6 is chosen from 8 men and seven women. Find how many committees are possible if a particular man must be included. - Equilateral 75284
Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options. - What is 20
What is the least number that should be added to 2497 so that the sum of the digits is divisible by 5, 6, and 10?
- Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - How many 23
How many times should a dice be rolled to obtain a most likely number of 2 points on it to be equal to 32? - Calculate 73024
Calculate the permille descent of the railway line in the section of 7.2 km by 21.6 m. - Tablecloth 72254
The table top is 1.2 m long, 55 cm wide, and 35 mm thick. Calculate how many regular meters of a 1 m wide roll are needed for a tablecloth that extends 15 cm beyond the bottom edge of the table on all sides.
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