Math practice for 13 year olds - page 304 of 424
Number of problems found: 8462
- Ratio of two unknown numbers
Two numbers are hidden. Their sum is 30. We calculate one-sixth of a larger number and add it to both numbers. So we get new numbers whose ratio is 5:7. Which two numbers are they? - Mason with assistant
Mason had to complete the work in 10 days. Two and a half days later, his assistant arrived. Together, they completed the work in the next three and a half days. How many days would he need an assistant for the same work? - Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return - Fulfillment 5210
This company can complete the order in 168 days. The second company is better equipped and can fulfill the order in 120 days. The companies will fulfill the orders together. Determine how long it will take them to fulfill the order and in what proportion - Cars speeds
The distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes? - Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers. - Two numbers
The sum of the two numbers is 1. Find both numbers if you know that half of the first equals one-seventh of the second number. - Testing
Students in high school have 10 points for each good-solved task. Five points deduct the wrong answer. After solving 20 tasks, student Michael had 80 points. How many tasks did he solve correctly, and how many were wrong? - Cars 6
At 9:00 AM, two cars started from the same town and traveled at a rate of 35 miles per hour, and the other car traveled at a speed of 40 miles per hour. After how many hours will the cars be 30 miles apart? - Boys and girls 2
The ratio of boys to girls in the math club is 4:3 . After eight more girls join the club, the ratio becomes 1:1. How many members are there in the club now? - Pipe cross section
The pipe has an outside diameter of 1100 mm, and the pipe wall is 100 mm thick. Calculate the cross-section of this pipe. - Unknown number 24
If we add 20, we get 50% of its triple. What is this unknown number? - Parcel 4
Send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds? - Mail train
The speed of the mail train is 1370 meters per minute. Express it in miles per hour, correct to three significant figures. Use the following facts to convert this units: 1 meter = 39.37 inches, 1 mile = 1609 m, 1 hour = 60 minutes - Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - Powerful pumps
Three equally powerful pumps drain water from a flooded pit in 7 hours. In how many hours would drain water from a pit of 5 equally powerful pumps - Determine 5188
If we increase the unknown number by 4%, we get 780. Determine the unknown number. - Laths
There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage. Both laths touch at 70 cm above the garage floor. How wide is the garage - Difference 5186 The unknown number was first increased by 17%, and the result was the number A. The second time, the teacher reduced the original number by 8%, resulting in number B. The difference between the numbers A and B is 50. Determine the unknown number.
- Wide field
The field is 203 meters wide and 319 meters long. What is the greater length of the rope by which length and width can be measured? Find the exact number of times.
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