Math practice for 13 year olds - page 49 of 424
Number of problems found: 8477
- Stock inventory
At the beginning of each week, the stock inventory in the warehouse increases by 5% of the current level. At the end of every second week, 8% of the goods are issued from the warehouse. By what percentage will the stock in the warehouse be greater after t - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 metres wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours? - Necessary paint
3 kg of paint is sufficient for 18 m² of area. How much paint is needed to paint the walls and bottom of a swimming pool with dimensions of 25 m × 15 m and a depth of 1.5 metres? - Parallelogram - ratio
The lengths of the adjacent sides of a parallelogram are in the ratio 8:3. The shorter side is 4.2 cm long. Calculate the perimeter of the parallelogram. - We are delayed
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/ - MAT Test
Students wrote a maths test. 5/18 of the students received a grade of 2, 2/9 received a 3, and 1/6 received a 4. 12 students received a grade of 1. How many students wrote the maths test? - Green The green combine harvests a field in 18 hours. If it works together with the red combine, they harvest the field in 6 hours. How long would it take the red combine to harvest the field alone?
- Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 2.4 m × 0.8 m × 0.5 m. What will be the volume of a cube-shaped chest with the same surface area? - Isosceles
An isosceles trapezoid ABCD has a perimeter of 39 cm. Base AB is 7 cm longer than base CD, and each leg is 2 cm shorter than base CD. Calculate the length of base CD. - Determine the area
Determine the area of trapezoid ABCD, given that AB = 6 cm, the area of triangle ABC = 15 cm², the area of triangle BCD = 20 cm², and AB ∥ CD. - Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percentage did the price increase? - Two cuboids
A cuboid has dimensions of 2 m × 3 m × 4 m. We increase the length of all edges by 50 cm. 1. By what percentage does the surface area of the cuboid increase compared to the original? Round the result to the nearest whole percent. 2. By what percentage doe - Condensation
How many litres of water must be evaporated from 400 kg of a 10% soda solution to obtain a 16% solution? - Boxes
Petra has planted flowers in two boxes in the shape of a cube. The first box has an internal dimension of 70 cm and the second 5 dm. She wants to make one box in the shape of a cuboid, into which she could transplant both flowers from these boxes. The new - Diagonals
Construct a rhombus whose diagonals have lengths of 10 cm and 8 cm and make an angle of 115° with each other. - Graduation of the track
The gradient of the track is 9 per mille, and the distance along the slope [AC] is 560 m. Determine angle alpha and the distance [AB], which is the height between A and B. A / | B/____________C - Heating water
5 kg of water warmed up by 10 °C. How much heat did the water absorb? (Remember that 1 kg of water requires 4,200 J of heat to raise its temperature by 1 °C.) - Dividing Fruit by Ratio
60 kg of fruit were divided between the KOP store and the FRESH store in a ratio of 2:3. How many kilograms did the FRESH store receive?
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