Math practice for 13 year olds - page 413 of 427
Number of problems found: 8533
- Lathe
From the cube of edge, 41 cm was lathed a maximum cylinder. What percentage of the cube is left as waste after being lathed? - Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC. - Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden? - Bus vs. train
The bus started from point A 15 minutes before the train started from the same place. The bus went at an average speed of 45 km/h, train at 54 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Truck
The truck went for 4 hours and 51 minutes. If the truck increases its speed by 23 km/h, it will go the same distance in 2 hours. Calculate this distance. - Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface? - Components
The 7 white, 4 blue, and 3 red components are in the box. What is the probability that we pull one white, one blue, and one red component without returning it? - Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile. - Rhombus ABCD
Rhombus ABCD, |AC| = 63 cm, |BD| = 50 cm. Calculate the perimeter of the rhombus ABCD. - Quadrant
In what quadrant is a -1165° angle? - No. of divisors
How many different divisors have number 13 4 * 2 4? - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Bonus
The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses? - Tare
The gross weight of a shipment is 6278 kg, and its tare is 6.3%. Calculate the net weight of the shipment. - Clock's hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 60°? Consider the continuous movement of both hands for hours. - Slope
What is the slope of a line with an inclination -325°? - Perpendicular
Find the slope of the line perpendicular to the line p: y = 8x +6. - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan?
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