Maths practice for 14 year olds - page 60 of 367
Number of problems found: 7329
- Stream cleaning days
Conservationists cleaned the stream in three days. On the first day, they cleared one-third of the stream. On the second day, one-third of the remaining portion of the stream, and on the third day, they cleared the remaining 8 km of the stream. How long i - Apartment cleaning together
A woman cleans an apartment in 8 hours and a man in 10 hours. How many hours will they clean together? - Grandma 12
Tobias wanted to buy a five-part book series about hockey. Each book in the series costs the same amount. He had only 80% of the price for the first and second volumes. Grandma paid the remaining amount for the first two volumes and 60% of the price for t - Heptagon triangle probability
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Eco-team
The student eco-team at an elementary school pledged to plant a total of 78 trees over three spring months, as the school is celebrating its 78th anniversary. In the second month, they planted half as many trees as in the first month, and in the third mon - North Pole
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole? - Milan Emil shadow
Milo, who is 1.85 meters tall, casts a shadow of 74 cm. How tall must Emil be if he casts a shadow 6 cm longer than Milo simultaneously? - Circle rectangle fit
Find out if a circle with an area of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm. - Phone call average
A monthly fee of 60 crowns is paid for the phone and 3 crowns for each call. How many calls did we have when one call cost us an average of 4 crowns and 20 pennies? - Lukas Jakub pursuit
Luke left the Tereza cottage and walked at an average 4 km/h speed. Forty-five minutes later, Jacob followed him on a bicycle from the same cottage. He followed Luke's route and caught up with him after 20 minutes. What was Jacob's average speed? - Periodic function
Simplify by using periodicity cos 1125° - Rectangle perimeter area
The rectangle has a perimeter of 30 cm. The ratio of its sides a: b=2:3. Calculate the sides' lengths and the rectangle's area. - Trapezoid angle sizes
Given a trapezoid ABCD and the sizes of the interior angles. Angle SDC 32° SAD angle 33° SDA angle 77° Angle CBS 29°, where S is the intersection of the diagonals. What is the size of the angle BSA? - Boaters - boat
In summer Marek and Lukáš go on trips in a motor boat. On calm water the boat moves at a speed of v0 = 16 km/h. Both boys set out on a voyage along a river, the water in it relative to the bank moves at a speed of v1 = 4.0 km/h. They set off from the boat - Dice even probability
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss. - Polygon diagonal sides
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.) - Half of money
Mr. Investor deposited half of his money in the bank at 5% interest. He invested the other half in bonds with 7% interest. How much money did he invest when his annual profit was CZK 600? - Restaurant payment comparison
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Chess club probability
The chess club has 5 members, including two girls. The club leader wants to determine by lot which member will represent the club at the representative tournament. What is the probability that a girl will be drawn?
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