Math practice for 13 year olds - page 64 of 413
Number of problems found: 8253
- Elevation angle
An airliner currently flying over a location 2,400 m away from the observer's location is seen at an elevation angle of 26° 20'. At what height does the plane fly? - Worker job hours
Five workers do a job in 20 hours. How long will it take two workers to do the same job? - Battery charging capacity
The battery capacity is 50 Ah. With a current of 5 A, we charge the accumulator to 100% capacity in 10 hours. To what percentage of capacity can we charge the accumulator with a current of 2 A in 15 hours? - Justify
50 bottles of red wine are to be purchased for a company party. In the first store, a bottle of wine costs €6.90, and they have a promotion where every fifth bottle is free when you buy four. In the second store, the same bottle costs €8.50, but there is - Tractor overtaking time
I am passing a tractor whose speed is 20 km/h. The length of the tractor with the siding is 10 m. My speed is 50 km/h. How long will I overtake the tractor? - Missile plane distance The missile flies towards the plane at a 2000 km/h speed. The speed of the plane is 1000 km/h. The intervention is after 1.5 minutes. How far apart were the rocket and the aircraft in the beginning?
- Quadrilateral pyramid
Construct a 3D model of a quadrilateral pyramid with a rectangle base and sides of isosceles triangles, with a volume of 80 cubic cm. I need to know the sides and the height. - Car wheel rotation
The children's car has wheels with a radius of 15 cm, and its speed is 36 km/h. How many times does the toy car wheel turn in a minute at this speed? - Meadow bird distribution
The meadow has massive trees, a lake, and tall grass. A seventh of the birds sit in nests in trees. A third swim in the lake and a quarter of the birds sit in nests in the tall grass. Twenty-three birds are sitting on tree branches. How many birds are the - Machine container filling
Two filling machines fill 250 containers in 2 hours. How many containers will 4 machines fill in 3 hours? - Car pursuit minutes
Fifteen kilometers in front of us, a car travels at a speed of 70 km/h. We drive at an average speed of 100 km/h. How many minutes will it take us to catch up with the car? - Boiler room
If only the first boiler is running, the coal supply lasts 8 days. If only the second boiler is running, the supply lasts 12 days. If only the third boiler is running, the supply lasts 6 days. How many days in total will the coal supply last if only the f - Refrigerator - discount
The refrigerator was first discounted by 20% and then increased in price by 5%. Now the Zmrzlin family bought it for 420 euros. How much was the refrigerator before the discount? - Individual
To prepare 14 kg of cheese with 45% dry matter, three types of cheese mixtures were blended. The first mixture weighed 5 kg; the second weighed 3 kg and contained 14 percentage points more dry matter than the first. The third mixture, which had twice the - Camp room distribution
Fifty pupils were in the camp; they lived in double and triple rooms. They occupied 20 rooms, many of which were two- and three-story. Please proceed. - Consecutive even sum
The sum of five consecutive even numbers is -10. What are the numbers? - Part-timer
Seven part-timers paint 280 m of railings in 5 hours. How many meters of railing will nine part-timers paint in 4 hours? - Cyclist opposite distance
A cyclist left Olomouc in the direction of Zábřeh in 6 h 30 min at an average speed of 24 km/h. At 7:40 a.m., a cyclist left Olomouc opposite Ostrava at an average 36 km/h rate. At what time will they be 112 km apart? - Clock face
On the circular face of the clock, we connect the points corresponding to the numbers 2, 5, and 9 to each other, which creates a triangle. Calculate the sizes of all interior angles. - Trapezoid plot fence
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21 m and 11.2 m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fen
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