Math practice for 13 year olds - page 5 of 435
Number of problems found: 8682
- Money exchange
A told B, "If you give me 1/3 of your money I'll be 50 USD". In turn B told A, " If you give me 9 USD then we'll be the same amount of money". Find their money. - Solve 29
Solve for x. 8=2x+4 - The sum 50
The sum of five consecutive integers is 385. Which one of these five integers is prime? - A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall. - Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades. - One ticket 2
In a lottery, 10000 tickets are sold and ten prizes are awarded. What is the probability of not getting a prize, if you buy one ticket? - Long train
A 110 m long train crosses a tree in 3 s. How long will it take to cross a 165 m long platform and 135 m long bridge, If the platform and bridge are at a distance of 30 m?
- Clock error
How much does a watch lose per day, if its hands coincide every 64 minutes? - The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one. - Rhombus tiles
The floor of a building consists of 3000 rhombus-shaped tiles, and each of its diagonals is 45 cm and 30 cm in length. Find the cost of polishing the floor at the rate of $4 per square meter. - A shopkeeper 7
A shopkeeper bought 80 cricket bats for 2.55 euros each. He sells 20 of them at a 5% gain. What must be the gain percentage of the remaining bats to get a 10% gain overall? - Twice a number If 73 is one more than twice a number, what is 50% of the number?
- Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square. - A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube. - Two men 2
Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45°, respectively. If the height of the tower is 50 m, find the distance between the two men.
- Two trains 14 Two trains running in the same direction at 40kmph and 22kmph completely pass one another in 1 minute. If the length of the first train is 125m, find the length of the 2nd train.
- Susan 4
Susan went to school for 219 days in a full year. If her attendance is 75%, find the number of days on which the school was open. - System of equations
Solve the following system of equations: 2x-5y=4 5x-3y=4 - Two games
In a class of 65 students, 30 students play cricket, 20 students play tennis, and 10 students play both games. Then, find the number of students who play neither. - Adam reaches
If Adam walks at 3 km/h, he will reach school 15 minutes late. If he walks at 4 km/h (kmph), he will reach school 15 minutes earlier than usual. What is the distance between school and house?
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