Maths practice for 14 year olds - page 125 of 378
Number of problems found: 7550
- Top-open tank
The top-open tank resembles a truncated rotating cone, standing on a smaller base. Its volume is 465 m3, and the bases' radii are 4 m and 3 m. Find the tank's depth.
- The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm, and height v = 5 cm. What is the volume of the cone from which the truncated cone originated?
- We roll
We roll two dice A. - what is the probability that the sum of the falling numbers is at most 4 B. - is at least 10 C. - is divisible by 5?
- Successive 45281
The sizes of the interior angles of the triangle are in a successive ratio of 6:4:5 are these angles big?
- Students 45261
There are 200 pupils in the class, 40% of whom cannot swim. How many students can swim?
- Frequency distribution
The following frequency distribution gives the time spent for a fill-up at a gas station. Assume that each value in a class is equal to the midpoint of the class. Estimate the mean fill-up time for the given data. Please round your answer to the neares
- Jewelry factory
In a jewelry factory, three assemblers make beaded necklaces. Marcus can make 22 necklaces per hour all day long. Anita can make 25 necklaces for her first three hours of the day and then slow down to 16 necklaces for the rest of the day. Yara can make 2
- The diamond
The diamond has an area S = 120 cm2, and the ratio of the length of its diagonals is e: f = 5:12. Find the lengths of the side and the height of this diamond.
- Workshops
The plant has three workshops. In the first workshop, produce five products/hour. In the second 8 products/hour, and in the third, seven products/hour. In the first workshop, they produced 240 products. In the second 400 and the third 350 products. Find t
- Czech coins
John has 540 CZK, but he only has 10 and 20 CZK coins. We know that he has 10 CZK coins, seven times more than 20 CZK coins. How many 10CZK coins and how many 20CZK coins did he save?
- Contains 45031
How many cars can we mark with signs that only use the letters A, B, and the number 1,2? The tag contains two letters and three digits.
- Two cables
On a flat plain, two columns are erected vertically upwards. One is 7 m high, and the other 4 m. Cables are stretched between the top of one column and the foot of the other column. At what height will the cables cross? Assume that the cables do not sag.
- Approximately 44981
The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and ne
- Rectangular 44951
The surface area of the rectangular plot needs to be increased by 33.7 percent. One dimension was extended by 2.9 percent. By what percentage should the second dimension be increased? Round the result to two decimal places.
- Electrical 44931
A current of 20 A passes through the heating spiral of the electric fireplace with a resistance of 10Ω for 2.5 hours. Determine the power input of the fireplace and the consumed electrical energy
- Resistance 44921
The bulb's resistance at a power input of 40 W is 10 Ω. To what voltage source is it connected? How much current is flowing through it?
- Resistance 44911
Determine the resistance of a bulb whose wattage at a source voltage of 220 V is 15 W.
- A number 4
A number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number increases by 9. Find the original number
- Ramon
Ramon earns 1,810 each month and pays a 53.20 bill on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
- The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed?
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