Math practice for 13 year olds - page 94 of 414

Number of problems found: 8277

Six-digit number creation
How many six-digit numbers without repetition can be formed from the digits 1, 2, 3, 4, 5, and 6, if the numbers are, to begin with: a) the digit 4; b) digits 4 or 5?
Replacement of resistors
In a circuit, 2 resistors are connected and a current of 350 mA passes through it. Between the terminals of the first resistor we measured with a voltmeter a voltage of 7 V and between the terminals of the second resistor 10.5 V. Your task is to replace t
On the Oval Track
Two runners are training on the oval stadium track. Both runners start from the same point and maintain a steady pace. The first runner completes 3 laps in the same time that the second runner completes 2 laps. Both runners set off in the same direction a
Cyclist car overtaking
A cyclist traveled 50 km in 2 hours. A car followed him from the same city and overtook the cyclist in an hour. At what speed was the car going, and at what distance did they meet?
A pipe 2
A pipe is 30 feet long. It needs to be cut into pieces that are each 3/5 feet long. How many pieces can be made from the pipe?
36 shirts
Thirty-six shirts were on sale for 2/3 of the regular price. If the sale price of each shirt was $30, what was the regular price?
Ice cream
Two and a half liters of ice cream are divided (unequally) into two parts that are in the ratio of 1:7. How much is each part?
Issac 2
Issac bought some wire for his project. He used 1/3 of the wire and had 80 cm of wire left. How much wire did he have at first
Four-fifths 2
Four-fifths of Zack's stamps have pictures of animals. If he has 20 stamps with these pictures of animals, how many stamps does Zack have?
Ron has
Ron has 4 2/3 liters of oil. He kept 1 1/4 liters and divided the rest into parts of 3/4 liter each. How many parts did he make?
20 students
Twenty students took a test. Ten students got an average (arithmetic mean) score of 80. Five of them got an average score of 75. And the remaining 5 students got an average score of 55. What is the average score of the 20 students?
Skip's
Skip's Dog Shelter rescues collies. 3/4 of the collies are older than 10, and 1/3 of the remaining collies are between 3 and 5. Suppose there are 2 dogs between the ages of 6 and 10. How many dogs are there in all at this rescue shelter?
Five-digit number digits
Determine the number of all-natural five-digit numbers in decimal notation that each have the digits 0, 1, 3, 4, 7.
Boy tablet dosage
Joey is sick and has to take 1 tablet three times a day. How many days will a pack of 30 tablets last him if he only takes 1 tablet in the morning and evening every third day?
Andrew 2
Andrew and Chloe went shopping. Andrew spent $10 less than Chloe. If we let y represent how much Chloe spent, write an algebraic expression for how much Andrew spent
Wayne
Wayne can clear a plot of land in 1/3 hours, and Melvin can clear the same plot of land in 2/4 hours. What could possibly be the time for both Wayne and Melvin if they combine to clear the same plot of land?
Reconstruction
The school decided to carry out a renovation and began by replacing the doors. After installing the doors, the principal decided to number each door. As soon as he had this idea, he had the mathematicians calculate how many individual digits were needed i
Fraction equality solving
Fill in the place of x with such a number that the equality applies. 5/6=15/x How can this be calculated?
Square point distance
I was given a square ABCD 4.2 cm. Find the set of all points that have a distance less than or equal to 2 cm from one of its vertices and lie inside this square. Indicate how much of the square this area occupies as a percentage.
Simultaneous start
A pedestrian and a cyclist set off simultaneously from two villages 24 km apart. The pedestrian walked at an average speed of 4 km/h and met the cyclist after ninety minutes of walking. What was the average speed of the cyclist?

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