Math practice for 13 year olds - page 204 of 422

Number of problems found: 8427

Circumference 22243
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels.
The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it?
Lookout tower
Calculate the height of a lookout tower forming a shadow of 36 m if a column 2.5 m high has a shadow of 1.5 m simultaneously.
A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field?
T-shirts 22133
There were 40 boys in the school. They were branded with caps and t-shirts. Twenty-five boys had blue caps. Twenty boys had a blue cap and a yellow T-shirt. a) How many boys had a yellow shirt? b) How many boys did not have a blue cap? c) How many boys on
Pardubice 22123
At 1 p.m., a Škoda Felicia drove from Pardubice to Kolín at a speed of 60 km/h. Half an hour later, a Škoda Oktavia drove the same way at a speed of 80 km/h. When will Oktavia catch up with Felicia?
Motorcyclist 22103
The distance from Olomouc to Brno is 77 km. At 4:00 PM, a passenger car left Olomouc for Brno at an average speed of 100 km/h. Half an hour later, a motorcyclist drove from Brno to Olomouc at an average speed of 80 km/h. What time do they meet?
Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train.
Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne
Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of point S from line p is less than 4 cm, is the line p called?
Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
Quadrilateral shelter
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold
Temperature 21973
The aluminum container has an internal volume of 0.75 l at 20 °C. How does this volume change if the temperature increases by 55 °C? A = 24.10^-6 1/K.
Movement 21953
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3m track. We will use a fixed pulley. What is the pulling force on the free end of the rope?
Cooker
A current of 2A passes through the immersion cooker at a voltage of 230V. What work do the electric field forces do in 2 minutes?
Production 21923
The company produced 300 vehicles a day. What percentage did production increase when they made 1,560 vehicles in 5 days?
Herbs drying
By drying, 75% of the weight of the herbs is lost. How many fresh herbs do you have to dry if you want to hand in 1.2 kg of dried herbs?
Determine 21903
A truck left place A at 8:00 a.m. at a speed of 60 km/h. From place B, which is 225 km from A, a car drove towards it at a speed of 90 km. Determine when and how far from place A the vehicles meet.
Rectangular land
On a rectangular plot of land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied?
Distance 21883
The distance between K and L is 150 km. At 8.00, a car left place K at a speed of 60 km/h. At 9:00 a.m., a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be?

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