Grade - math word problems - page 107 of 953

Number of problems found: 19049

Third angle
What is the third angle of a triangle if the first two angles are 50° and 60°?
Calculate the cylinder
Calculate the volume of a cylinder, given: S = 144π cm² height = 6 cm
Morse code 2
We have two characters: a dot and a comma. How many two-character and three-character sequences can be created using them, with repetition allowed?
Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height drawn to side AB is 4 cm. Point P is the foot of the altitude from A to side AD. Calculate the area of triangle ABP.
Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base?
View angle
From a tower 20 m high and 20 m away from a river, the width of the river appears to span an angle of 15°. How wide is the river at this location?
After-school club
30 children in a school club need to split into two teams. They put 15 white and 15 black marbles into a basket and draw lots. The teams will be made up of children who draw marbles of the same colour. Patricia drew first and pulled out a white marble. Af
Tunnel - quadrilateral
How long will tunnel AB be, given distances AD = 35 m, DC = 120 m, CB = 85 m, angle ADC = 105°, and angle BCD = 71°, where ABCD is a quadrilateral?
216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 12 cm.
4 bags
Paul had four bags, each containing 9 marbles. How many marbles did he have in total?
Pure gold
How much pure gold is in a 15-gram ring made of 14-carat gold? Round the result to the nearest tenth of a gram.
Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an annual rate of 10%, he paid €19,000 for it. How much interest was deducted from the face value of the bill?
Tractor 19
A tractor ploughs a field in 48 hours using a plough with 5 blades. How long will it take to plough the same field using a plough with 6 blades of the same width, maintaining the same tractor speed?
Salad - delicacy
A customer paid €1.50 for 300 g of salad. How much will they pay for 500 g of the same salad?
Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m².
Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm.
9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total (of all sizes)?
Similarity coefficient
Given triangle ABC with sides a = 12 cm, b = 9 cm, c = 7 cm, and triangle DEF with sides d = 8.4 cm, e = 6.3 cm, f = 4.9 cm. Determine whether triangles ABC and DEF are similar. If so, state the similarity ratio and the theorem by which they are similar.
Women in the company
1,467 women work in a factory. Women make up 46% of all employees. How many employees work in the factory in total?
Calculate 423
Calculate the volume and surface area of a cylinder with a height of 40 dm and a base diameter of 3 m.

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