Maths practice for 14 year olds - page 205 of 362

Number of problems found: 7230

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 '| = 1.2 m, | PP '| = 36 m, | JT '| = 5 m. Marcel lies 15 meters away from the sea (M). Calculate the lighthouse distance from th
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 allow for approximately twenty percent waste when cutting and glui
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
Kate 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?
TV Price Changes Series
The TV cost 1000 euros. In the last three months, they first reduced the TV price by 30%, then lowered it again by 20%, and finally increased it by 50%. Was the last price the same as the original?
Two cars on ring
Two cars were on the round track (ring) in the adjacent tracks, the first on the inner track and the second on the outer track. Both cars started at the same time from one starting track. The first toy car drove four laps simultaneously, and the second to
A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a
Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies.
Luggage and air travel
Two friends traveling by plane had a total of 35 kg of luggage. They paid one 72 CZK and the second 108 CZK for being overweight. If only one paid for all the bags, it would cost 300 CZK. What weight of baggage did each of them have? How many kilograms of
Sum and ratio
The sum and the ratio of two numbers are both equal to 10. What are the two numbers?
3rd dimension
The block has a surface of 42 dm², and its dimensions are 3 dm and 2 dm. What is the third dimension?

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