Maths practice for 14 year olds - page 208 of 375

Number of problems found: 7498

The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid.
Pyramid Side Edge Length
If the pyramid's height is 4 cm and the base area is 16 cm², include the side edge length of a regular quadrilateral pyramid.
Original price2
The product was reduced by 10% and then by another 8%. What was the original price if it now costs 13248 CZK? What percentage of the original price is a discount?
Percentage increase
Increase the number 400 by 3.5%
The treasury
Lucy has only two-crown and five-crown coins in her treasury. She has 30 coins worth 108 Czech crowns (CZK). How many two-crown and how many five-crown coins does she have?
Pyramid Height Surface Area
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface.
The work
The work was to be done by 150 workers. At the beginning of their work, The company reduced their number by 40, which increased the work time by 5 and 1/3 of the schedule. How long did the work take?
Lighthouse
Marcel (point J) lies in the grass and sees the top of the tent (point T) and, behind it, the top of the lighthouse (P). | TT '| = 1.2m, | PP '| = 36m, | JT '| = 5m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from the s
Three people
Three people start doing work at the same time. The first worked only 2 hours, and the second finished 3 hours before the end. On an individual basis, it would take the first time to do the work 10 hours, the second 12 hours, and the third 15 hours. How m
The missing angle
Find the unknown angle in the triangle. Angles are: 95, 2x+15, x+3. What type of triangle is it?
Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to count on about twenty percent waste when cutting and gluing? (The
Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC.
Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree.
Hot Water Consumption Reduction
The survey reduced hot water consumption by a ratio of 4:5. By what percentage has household water consumption decreased?
Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m.
Test Questions Guessed
Katka solved an example from mathematics. She could calculate 50% of the examples, guess the remaining questions, and guess one-fifth of them. She had 12 answers incorrectly. How many tasks did the test contain?
Prospering students
There are 30 girls and 30 boys in the class. Boys are prospering 28, girls all. If all the prospering students are 95%, how many girls are in the class and how many boys are there?
Machine Price Without Tax
The company paid a 20% tax on the purchase of the machine in the amount of 240 €. What is the price of the machine without tax?
Spherical cap 4
What is the surface area of a spherical cap, the base diameter of 20 m, and the height of 2.5 m? Calculate using the formula.
Company Bonus Gender Percentage
One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company?

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