Math practice for 13 year olds - page 209 of 413
Number of problems found: 8260
- 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 cm². What is the actual length and width of the field? - Boy cap shirt
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 - Car pursuit calculation
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? - Car motorcyclist meeting
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 = 75 m 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
- Circle line position
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 - Aluminum volume expansion
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. - Pulley pulling force
We lift a box weighing 50 kg onto a railway wagon with precise movement along a 3 m track. We will use a fixed pulley. What is the pulling force on the free end of the rope? - Cooker
A current of 2 A passes through the immersion cooker at a voltage of 230 V. What work do the electric field forces do in 2 minutes? - Production increase percentage
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? - Vehicle meeting
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? - Car meeting calculation 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?
- Cone from cube
From a wooden block 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m³ - Steel wire expansion
The steel wire (α = 11.5. 10-6 1/K) has a length of 100 m at -15 °C. Find its length at 45 °C. - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast?
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