Maths practice for 14 year olds - page 94 of 362
Number of problems found: 7228
- Target zone probability
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Dice probability greater
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll? - Ski area preparation
A winter ski area is to be prepared by five snow groomers in 6 days. Due to great interest from skiers, after two days reinforcement was called in the form of another three equally performing snow groomers. Decide for each of the following statements whet - Number multiplication expression
Determine the number by which we must multiply the expression (square root one plus one whole and one quarter) to obtain the number 12. - Whole fraction determination
It is given that 1 1/7 of the whole is 32. Determine what 2 1/4 of the total is. (One whole and one-seventh, two whole and one quarter). - Coins in a money box
Karol has in his money box in total 19 coins, and only ten-crown and fifty-crown coins. In total he has in the money box 830 Kč saved. Which statement is false? (Provide a solution procedure for the individual statements.) a) In the money box 170 Kč (Czec - Triangle angle ratio
The sizes of the interior angles of the triangle are in the ratio of 3:4:5. Calculate these angles. - Terezka 2
Terezka has two younger siblings: 40-month-old Annie and 7-month-old Kája. ○ Calculate how many months it will take for Annie to be four times older than Kája. ○ Calculate the age difference between Tereza and Annie if Tereza celebrated her sixth birthday - Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - A scale
A map scale states that every ¼ of an inch represents 20 miles. If two cities are 3½ inches apart, how many miles are actually between the two cities? - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - Gathering of solvers
The best solvers of the mathematical olympiad and their leaders came to a gathering. They all stayed in a pension with two-bed and three-bed rooms, such that all beds in these rooms were fully occupied. The two-bed rooms were exactly a third of all rooms - In a bakery
In a bakery, a bun costs 2 CZK more than a roll. Petr bought 4 buns and 8 rolls and paid exactly 62 CZK. a) Calculate the price of one bun in CZK. b) Calculate in CZK how much Petr would pay to buy 2 buns and 2 rolls. c) Determine how many rolls Petr coul - Box cardboard material
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin - Potato warehouses
The company Vysočina has two potato warehouses. In the first warehouse there are three times more potatoes than in the second. From the first warehouse, half of the stored amount of potatoes was taken away, and there remained 90 tonnes of potatoes more th - Class girl count
Girls are 12 more than boys, and boys represent 30% of all students. Find how many girls are in the class. - Businessman goods profit
The businessman sells the goods for 28 €, bought in a warehouse for 20 euros. What is his profit? - Triples The triplets Jana, Jan, and Judy have saved a total of 180 CZK. Jana has saved three times as much as each of her two siblings. Judy and Jan have saved the same amount. a) Determine the ratio of the amounts saved by all three siblings in the order Jan, Ju
- Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point - Orange workshop workers
Thirty-two tons of oranges are processed in eight workshops with 40 employees each. How many workers process 9 tons of oranges in 9 workshops?
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