Maths practice for 14 year olds - page 147 of 370
Number of problems found: 7400
- 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 - Calculate 32321
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. - 3-digit 32301
How many 3-digit numbers can be created from the numbers 0, 1, 2, 3, and 4 if we can repeat them? - 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 - Savings 32203
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held? - Quadrilateral 32193
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. - Calculate 32133
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's 32031
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? - Brighton 31941
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 - Calculated 31901
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? - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm. - Between two
There are regular flights between the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. W - Percentages: 31831
Calculate these four examples as percentages: 5% of 650 meters 30% of 18kg 351% if 9% is 1/3 62.5% if 15% is 0.75 - Rhombus diagonals
In the rhombus ABCD, the sizes of the diagonals e = 24 cm and f = 10 cm are given. Calculate the side length of the diamond and the size of the angles, and then calculate the area of the diamond. - Antenna mast
The antenna mast is 26 meters high. It is fixed by four steel cables suspended 1.6 meters below the highest point of the mast and anchored to the ground at the vertices of a square with a side length of 14 meters. The mast is erected in the center of this - Daughter 31783
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a.
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