Math practice for 13 year olds - page 56 of 429

Number of problems found: 8569

Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school?
Dormitory Room Types
The dormitory accommodates 173 students in 48 rooms. Some rooms have three beds; some have four beds. If all rooms are fully occupied, determine how many are triples and how many are quadruple rooms.
Train Set Markings
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this?
Circle arc + section
Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
Connecting lines
They are given a square ABCD. The points EFGH are the midpoints of its sides. What part of the area of the square ABCD is the area of the square created in its center by connecting the points AF, BG, CH, and DE?
Material Delivery Rate
Five cars deliver 300 tons of material in 6 days. How many tons of material will 10 cars deliver in 9 days?
Exterior angles
In triangle ABC, the size of the exterior angle at vertex C is equal to 126°. The size of the internal angles at vertices A and B are in the ratio 5: 9. Calculate the size of the internal angles α, β, γ of triangle ABC.
Straight and right
What is the arithmetic mean of straight and right angles?
Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway?
Bottling into Two Sizes
A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there?
Total Sidewalk Area
The pavers paved 1/8 of the total area of the sidewalk on the first day. On the second day, they paved 20 square meters of pavement. In both two days, they paved 50 square meters of sidewalks. Calculate the total area of the sidewalk.
Selling Price with Markup
The purchase price of the material is 1000 CZK, and the margin is 35%. What will be the selling price? This is not a trademark or commission.
Daughter and Mom
The mother is 38 years old, and the daughter is 16 years old. When was the mother three times as old as her daughter (how many years ago)?
Hotel Room Capacity
The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds?
Triangle Side Calculation
Calculate the side a of triangle ABC if we know va=8cm, b=16cm, vb=10cm.
Men in Police Department
30 women work in the police department, representing 60% of the workforce. How many work in the men's department?
Distance to Aircraft
The observer sees the plane at an elevation angle of 35° (angle from the horizontal plane). At that moment, the plane reported an altitude of 4 km. How far from the observer is the place over which the aircraft flies? They circled for hundreds of meters.
Pool Volume and Painting
A block-shaped pool has a length of 50m, width of 25m, and depth of 3.5 m. When the pool is filled 50 cm below the edge, how many hectoliters of water is in it? If we paint the inside of the pool two coats and you pay 50 cents per 1m², how much
The chord - angle
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment.
Beautiful garden
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l?

Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.