Maths practice for 14 year olds - page 56 of 379
Number of problems found: 7575
- Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers?
- Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si
- Centimeters 81669
Eight centimeters on the map represent two kilometers in reality. Determine the scale of this map.
- Conservationists 81665
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 81654
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 series of books about hockey. Each book in the series costs the same amount. But he only had 80% of the price for the first and second volumes. Grandma paid him the rest for the first and second volumes and 60% of the pric
- Probability 81637
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)?
- 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?
- Simultaneously 81612
Milan, 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 Milan simultaneously?
- Dimensions 81608
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm.
- Average 81602
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?
- Periodic function
Simplify by using periodicity cos 1125°
- Rectangle's 81596
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.
- Intersection 81594
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?
- Probability 81591
We roll the dice three times. Calculate the probability of getting an even number on the first, second, or third toss.
- Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
- Deposited 81585
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 81584
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?
- Representative 81580
The chess club has 5 members, including two girls. The circle leader wants to determine by lot which member will represent the circle at the representative tournament. What is the probability that a girl will be drawn?
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