Maths practice for 14 year olds - page 272 of 375
Number of problems found: 7492
- Pyramid planting
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Employees and bonuses
Of the total number of men, 16% received a bonus, of the total. The number of women received 21%. The company has 1,500 employees, and 18% were awarded bonuses. How many women work in the company? How many men received bonuses? How many company employees - Tree
Between points A and B is 50m. From A, we see a tree at an angle of 18°. From point B, we see the tree at a three times bigger angle. How tall is a tree? - Flour price The price of flour increased three times in a row by 10% each time. The shop then reduced it by 30%. Now the price of flour is 5.60 CZK. What was the original price?
- Right triangle trigonometrics
Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Forces on earth directions
A force of 60 N [North] and 80 N [East] is exerted on an object weight of 10 kg. What is the acceleration of the object? - Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm? - Hydrostatic force
What is the hydrostatic force applied to an area of 30 cm² in the water at a depth of 20 m? (Water density is 1000 kg/m3) - Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Sphere radius
The surface of the sphere is 60 cm square. Calculate its radius; result round to tenth of cm. - Bills count Dad had 33 bills. One hundred crowns, two hundred and five hundred. A two-digit number gave the number of each species. How many did he have if he had a total of 9100 CZK?
- Hostel rooms
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Weight puzzle
A + B weighs 75 kg, B + C weighs 83 kg, C + D weighs 92 kg. How much does A + D weigh? - Vertex angle - cone
The rotating cone has a height of 72 cm and an angle at the top of 72°. Determine the volume of a sphere with the same radius as the cone. - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc? - Triangle similarity
Find out if the triangles ABC and A'B'C' are similar, determine the similarity coefficient and write the similarity: a = 40 mm, b = 48 mm, c = 32 mm a´ = 60 mm, b´ = 50 mm, c´ = 40 mm - Sides of the triangle
The sides of the triangle ABC have a length of 4 cm, 5 cm, and 7 cm. Construct triangle A'B'C', similar to triangle ABC, which has a circumference of 12 cm. - Map scale
On a 1:1000 scale map is a rectangular land of 4.2 cm and 5.8 cm. What is the area of this land in square meters? - Bun distribution
The two Honzos had buns. The first 6, the second 4. They split with their grandmother so that they all had the same amount. Grandma gave them 5 apples. The first wanted 3, the second wanted 2. The second wanted, on the contrary, Grandma recommended dividi - Segment length
Calculate the length of the line segment AB, given A [8; -6] and B [4; 2]
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