Maths practice for 14 year olds - page 60 of 361
Number of problems found: 7217
- 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? - 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. - Volleyball rack capacity
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Gunpowder component mixture
Gunpowder is made from a mixture of coal, sulfur, and lignite, with 4 times more lignite than sulfur and 3 times more sulfur than coal. Calculate how many kilograms of individual components are needed to produce 240 kg of gunpowder.? - Wreath cream price
Eve paid €8.4 for three wreaths and five creams. Jane paid €15.6 for 9 wreaths and 7 creams. How much will Jane pay for one wreath and one cream?
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