Maths practice for 14 year olds - page 292 of 382
Number of problems found: 7626
- Car catching up
In the direction of Hradec Králové, a car left Prague at 8 hours at a 50 km/h speed. At 8 hours and 30 minutes, another car followed him at an average 70 km/h speed. How long will it take to catch up with the first car? - Cylinder height
The rotating cylinder has a diameter of 14 cm and a surface of 1,186.92 cm². Calculate the height of the cylinder. - Block measurements
Calculate the solid diagonal of a block whose dimensions are: a = 3 cm, b = 5, c = 7 cm. Find its volume as well. - Exponent value
Determine what y equals in expression (16^y): 5 = 0.4 - Percents of percentages
Calculate: (a) 5% of 25% of 85 b) 4% of 20% of 1500 c) 83% of 20% of 25 d) 0.3% of 70% of 90 - Square root sum
Determine the sum of the square roots of the number 25. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Part-time earnings
Petr got a three-day part-time job for the holidays. On the first day, he earned 1/4 of the total amount. On the second day, 2/5 of the last two days, and on the third day, he made CZK 450. How much did you earn in total? - Area of a cube
Calculate the surface area of a cube if its volume is equal to 729 cubic meters. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Z9-I-4
Kate thought of a five-digit integer. She wrote the sum of this number and its half in the first line of the workbook. Write a total of this number and its fifth on the second line. She wrote a sum of this number and its one ninth on the third row. Finall - Tunnels
Mice built an underground house consisting of chambers and tunnels: • every tunnel connects one chamber to another (no dead ends), • exactly three tunnels lead from each chamber to three distinct other chambers, • from every chamber, a mouse can reach any - Unknown number
16% of the unknown number equals the square root of the number 25. Find this unknown number. - Square diagonal
Determine the diagonal of a square whose perimeter is equal to 72 cm. - Average speed
At what average speed would you have to travel around the world in 80 days? (Assume a path along the equator; round to km/h.) - Dictation
A total of 30 students wrote the dictation. One third of them received a grade of 1 or 4. There were four times as many 2 s as 3 s. How many students received an insufficient grade, given that 7 students received a grade of 1, which is also equal to the s - Area and percents
Find what percentage is a smaller cube surface when the wall's surface area decreases by 25%. - Four-digit numbers
Create all four-digit numbers from digits 1,2,3,4,5, which can repeat. How many are there? - Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%? - Pet store
They sold fish from one aquarium from the breeding product (Zverimex). Andrew wanted half of all the fish, but to avoid cutting any fish, he got half the fish more than he wanted. Matthew wanted half of the remaining fish, but like Andrew, he got half the
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