Maths practice for 14 year olds - page 59 of 375
Number of problems found: 7497
- 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
In one elementary school, the student eco-team made a promise to plant a total of 78 trees during the three spring months, because their school is celebrating its 78th anniversary since its opening. In the second month, they planted half as many trees as - 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
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? - Circle rectangle fit
Find out if a circle with a volume 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
Lukas left the Tereza cottage and walked at an average 4 km/h speed. Forty-five minutes later, Jakub followed him on a bicycle from the same cottage. He followed Lukas's route and caught up with him after 20 minutes. What was Jakub'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? - 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 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? - Triangle angle determination
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - School trip graders
Sixth, seventh, and eighth graders took part in the school trip. Sixth graders were 5 more than seventh graders, and eighth graders were 3 less than sixth graders. How many sixth graders were on the trip if there were 73 students in total? - Cone surface volume
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone. - Dye water proportion
Pour 9 dl of dye into 100 liters of water. What will be the proportion of dye in the resulting mixture? Express as a percentage.
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