Math practice for 13 year olds - page 251 of 413

Number of problems found: 8260

Perfect cubes
Suppose a number is chosen at random from the set (0,1,2,3,. .. ,202). What is the probability that the number is a perfect cube?
Opposite direction distance
A pedestrian and a cyclist left the town of S simultaneously but in the opposite direction. Pedestrian at 4.4 km/h, cyclist at 18 km/h. How far apart are they after 1 hour and 42 minutes?
Cyclist catches pedestrian
A pedestrian left town S at a speed of 4.2 km/h. After 1 hour and 10 minutes, a cyclist left the same city and in the same direction at a speed of 18 km/h. After how many minutes does the cyclist catch up with the pedestrian, and how far from town S?
Cyclist meeting distance
A cyclist leaves town A, 84 km from town B, and 2 hours later, another cyclist goes from town B to town A at the same average speed of 14 km/h. How far from city B will they fight?
Grandfather 3
Grandfather bought a square field of 900 square metres. A beet seedling occupies 20 square centimetres, and a parsley seedling occupies 10 square centimetres. He started by planting beets in the first row, with every second row planted with parsley. He al
Trip to a city
Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?
Parallelogram
Rhomboid (parallelogram) has a longer side of 50 cm long. The size of its one height is four times the size of its second height. Calculate the length of the shorter side of this rhomboid in centimeters.
Octagonal tank
The tank has the shape of a regular octagonal prism without an upper base. The base edge has a = 3 m, and the side edge b = 6 m. How much metal sheet is needed to build the tank? Do not think about losses or sheet thickness.
Tourist average speed
A tourist moving at the same pace completes a 21-kilometer hike in 4 hours, taking a 30-minute break. Calculate the average speed of tourists.
Three Consecutive Natural Numbers
Determine the sum of three consecutive natural numbers such that the sum of the first and third numbers is 368.
Number series sum
The difference between every two adjacent numbers equals three in a series of four numbers. The sum of these numbers is 60. Specify these numbers.
Feet to miles
A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
KLMN trapezoid
The KLMN trapezoid has bases KL 40 cm and MN 16 cm. On the KL base is point P. The segment NP divides the trapezoid into units with the same area. What is the distance of point P from point K?
Cutting paper
Divide a rectangular paper with dimensions 220 mm and 308 mm into squares of the same size so that they are as large as possible. Specify the length of the side of the square.
Land
A rectangular, triangular piece of land has an area of 30 square meters and a 12 meter-long leg. How many meters of fence do you need to fence this piece of land?
London trip spending
On a trip to London, Julie spent one-third of the pounds on the first day, two-thirds of the rest on the second day, and 14 pounds on the last day. How many pounds did Julia have on the trip?
Non-skiers
All fifth-graders went together on a ski course. There were more than 30 but fewer than 40 of them. First they were divided into skiers and non-skiers. Half of all the girls ended up in the non-skiers group, along with the same number of boys. In the skie
Pole painting calculation
The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters.
Find diagonal
Find the diagonal length of a cuboid with length=20 m, width=25 m, and height=150 m.
Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π

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