Math practice for 13 year olds - page 199 of 413
Number of problems found: 8260
- Gas, lpg and diesel
Calculate how much it costs to drive 35000 km by car: a) a car with the consumption of 8 l/100 km of LPG for 60 cents b) 7 l/100 km of petrol for 1.33 euros c) 6 l/100 km of diesel for 1.2 euros. Calculate what is cheaper. - Prism surface calculation
Calculate the surface area of a triangular prism with a height of 7 dm. Measures the edges of the triangular base 45 cm, 5 dm, 550 mm. - Vehicle meeting calculation
A car departs from place A at 1:00 PM at a speed of 72 km/h. At the same time, a truck departs from point B toward A at a speed of 68 km/h. Point B is 315 km from A. When and where will they meet? - Cone volume calculation
The volume of the cone is 9.42 cm3, and its base diameter is 3 cm. Calculate 1 / height of the cone 2 / side cones 3 / cone surface - Car meeting calculation
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, 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? - One press
One press will produce one truck of respirators in 3.5 days and the second in 10 days. How long does it take to fill a truck while working together? - Car travel time
The car will travel 73 km in 1 hour. How long will it take to travel 94 km? - Spray dilution calculation
Mr. Blažek is preparing a solution for the winter spraying of trees. He read the instructions: "We dilute in a ratio of 1:100. "How much of the spray can be poured into two liters of water? (There is always more water in the spray. ) - Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water? - Poster column area
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued? - Road roller area
The road roller has a diameter of 0.81 m and a width of 154 cm. How many m² of the road will it level when it turns 37 times? - Quadrilateral ABCD
Construct a quadrilateral ABCD with diagonals AC = e = 7 cm, BD = f = 6.2 cm, d = 4.3 cm, a = 5.3 cm and β = 125° - Similar triangles
In the triangle DEF is DE = 21 cm, EF = 14.7 cm, DF = 28 cm. The triangle D'E'F' is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D'E'F' if the similarity coefficient is one-seventh. - Pool drainage calculation
During the pool cleaning, two drains and one inlet were opened. The first outflow would empty the pool in 6 hours, the second outflow would fill it in 9 hours, and the inflow would fill it in 12 hours. How long will it take to empty if the drains are open - Order 2
Two production lines are available to fulfil an urgent order. The original line can produce the required goods in 15 hours, while the newer line, which has not yet been started up, could have the goods ready in 10 hours. The original line can be launched - Draining a tank
A tank can be drained using two outlets. The larger outlet alone drains the tank in 8 hours, the smaller outlet alone in 10 hours. At the last drainage, both outlets should have been open, but the shut-off of the larger outlet got stuck and was only opene - Shoemaker
Both the shoemaker and his apprentice repaired his shoes. The apprentice worked for six days and repaired ten pairs of shoes daily. The shoemaker did the same job for four days. How many pairs of shoes did the shoemaker repair per day? - Roof material calculation
The house's roof has the shape of a regular four-sided pyramid 4 m high with a base edge of 100 dm. We consider 30% of the roofing in addition to the overlap. Calculate how much m² of roofing is needed to cover the roof. - Cone surface volume The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume.
- Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
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