Maths practice for 14 year olds - page 151 of 376

Number of problems found: 7502

Pentagonal pyramid
Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
Block volume calculation
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
Team success rate
Two handball teams practiced shooting free throws. The first team hit the goal 39 times out of 68 attempts. The second team hit the goal 36 times out of 89 attempts. Express the success rate of each team as a percentage.
Secondary school
Half the pupils want to study at the secondary school, 1/4 at the apprentice, and 1/6 at the grammar school. Three pupils do not like to learn. How many students are in the class?
Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
Wooden bowls
Twenty wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm². How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has
Cone side calculation
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm.
Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm.
Three-digit number creation
How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them?
Calculate cone
The rotating cone has a base radius r = 226 mm, and the deviation of the side from the base plane is 56°. Calculate the height of the cone.
From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base, with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter of 10 cm. How tall was Janka's cone?
Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c
Helena Jane savings
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held?
Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6cm, and the side edge b = 10cm. Calculate the height of the pyramid.
Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals.
Cube dimension calculation
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
Tournament placement ways
Twelve men and four women attended the chess tournament. How many different women's placements can be in the tournament's final table if no two participants have scored the same number of points?
Train distance calculation
Two trains left London bound for Brighton. One at 14:00 and the other at 14:20. One train moves at a speed of 120/km per hour. Kinds 150/km per hour. How far apart will they be at three o'clock?
Interest 2
At the beginning of the year, Ms Mařasová obtained a loan from the bank in the amount of CZK 75,000 for three years, with an interest rate of 12.5%. She will repay the loan and interest in one go, after three years. The bank pays interest twice a year, al
Well excavation transport
The company is to dig a well 25 m deep with a radius of 0.8 m. How many cars that can be loaded with 12 cubic m will be needed to transport the excavated soil if it is calculated that the soil will increase in volume by 10% when excavated?

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