Reason - practice problems - page 3 of 108

Number of problems found: 2157

52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces?
Family survey
A total of 160 families with 4 children each were surveyed with the following results. Boys; 4; 3; 2; 1; 0 Girls ; 0; 1; 2; 3; 4 Families; 7; 50; 55; 32; 16 Let the probability of picking a boy or a girl be 1/2. Let P=boy, Q=girl. What is the probability
A man 11
A man is x years old. In 10 years, he will be twice as old as he was 5 years ago. How old will he be in 10 years?
Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case.
So far
So far on its tour, a band sold out 3 shows and did not sell out the other 3 shows. Considering this data, how many of the band's next 4 shows would you expect to be sold out?
Kenneth 2
Kenneth has 100 pennies, 20 nickels, 10 dimes, and 4 quarters. How many ways can he choose coins that total 25 cents?
Tables and chairs
The cost of 4 tables and 3 chairs is $225, and 3 tables and 4 chairs cost $195. Find the cost of 2 chairs and 1 table.
My 4
My 4-digit number is a palindrome; it has a remainder of 21 when you divide it by 100. what is my number? A palindrome is a number that does not change if you write it backward.
The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions?
Runner 6
A runner runs the first lap of a circuit at an average speed of 5 km/h. At what speed must the second lap of the same circuit be run so that the average speed of both laps is 10 km/h?
AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a1=5, d=-3
Beekeeper 2
The beekeeper has more than 190 kilos of honey and less than 200 kilos. If he divides it into 8-kilogram bottles, he rest 3 kilos. If he divides it into 7-kilogram bottles, he he rest kilos. How many kilos of honey does he have?
MDZ - theater
There are 798 men, women, and children in the theater. The number of men is twice the number of women. The number of women is twice the number of children. How many men, women, and children were there?
Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP.
9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total?
Footballers 2
Footballers have jerseys with numbers 7, 8, 9, 10, 11. The coach wants to send them to attack a) so that even jersey numbers are not next to each other b) so that odd jersey numbers are not next to each other. How many options does he have?
Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How much of its length can it protrude over the edge of the table without falling if a weight weighing 0.2 kg is placed at its end?
Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer. How long are her wands?
Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg. Find the place where the lever must be supported so that it is in balance.
Trainers 3
Trainers start in six steps, eight steps, nine steps, and ten steps. Each time they have one trainee left. How many trainees were there?

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