Maths practice for 14 year olds - page 200 of 361
Number of problems found: 7217
- Competition Prize Places
How many ways can you be rewarded in the 1st, 2nd, or 3rd place? What is the prize for 15 participants in the competition? - One three
We throw two dice. What is the probability that number three falls maximally once? - Perpendicular and parallel
Find the value of t if 2tx+5y-6=0 and 5x-4y+8=0 are perpendicular and parallel lines. What angle does each line make with the x-axis, and find the angle between the lines? - Cone Lateral Surface Area
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Circular section area
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20 cm. Round the result to cm2 - Cylinder Height from Area
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter. - Mice
Mice consumed a circular hole in a slice of cheese. The cheese is a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm? - The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney. - Four painters
The company sent four painters to paint the school. They should be done in 12 days. After three days, one painter got ill. How long will the remaining painters paint the school? - Roof angle
The house's roof has the shape of an isosceles triangle with arms 4 m long and the size of the base 6 m. How big an angle alpha does its roof make? - Carla
Carla is five years old, and Jim is 13 years younger than Peter. One year ago, Peter's age was twice the sum of Carla's and Jim's. Find the present age of each one of them. - Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Quadrilateral prism
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Perimeter of RT
Find the perimeter of a right triangle whose legs sum to 22.5 cm and whose area is 62.5 cm². - Band concert attendance
Ten thousand people came to the band. How many of them were adult students, and how many students? If adults paid CZK 300, students paid CZK 100 and paid a total of 2,300,000. - Truck Loads Weight Percentage
In the second truck, the load was 20% heavier than in the first, and in the third, the load weight was 20% less than in the second. In total, the trucks carried a load weighing 15.8 tons. How much did each cost weigh? - Sphere floating
Will a hollow iron ball float with an outer diameter of d1 = 20 cm and an inside diameter of d2 = 19 cm in the water? The iron density is 7.8 g/cm³. (Instructions: Calculate the average sphere density and compare it with the water density. ) - Banknotes
How many different ways can the cashier pay out € 310 if he uses only 50 and 20 euro banknotes? Find all solutions. - Concentric circles
There is given a Circle K with a radius r = 8 cm. How large must a radius have a smaller concentric circle that divides the circle K into two parts with the same area? - Assembly parts
Nine machines produce 1,800 parts on nine machines. How many hours will it produce 2 100 parts on seven such machines?
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