Maths practice for 14 year olds - page 342 of 375
Number of problems found: 7493
- Family
Martin has just as brothers and sisters. But his sister Jana has two times more brothers than sisters. a) How many children are in this family? b) How many boys and how many girls are in the family? - Triangular pyramid
A perpendicular regular triangular pyramid is given: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm³. What is its area (surface area)? - Triangle midpoints
Determine coordinates of triangle ABC vertices if we know triangle sides midpoints SAB [0;3] SBC [1;6] SAC [4;5], its sides AB, BC, AC. - Concentric circles
In the circle with diameter, 13 cm is constructed chord 1 cm long. Calculate the radius of a concentric circle that touches this chord. - Circle and hexagon
Calculate the radius of a circle whose circumference is 8.7 cm longer than the inscribed regular hexagon's circumference. - Again saw
We have a sculpture beam from the tree trunk with a rectangular cross-section with dimensions 91 mm and 87 mm. What is the trunk's smallest diameter? - The chord
Calculate a chord length where the distance from the circle's center (S, 24 cm) equals 16 cm. - Balls
The urn is eight white and six black balls. We pull four random balls. What is the probability that among them will be two white? - Angles and sides of the triangle
Triangle ABC has a circumference of 26 cm. The sides' lengths are as follows: a = 11.2 cm; b = 6.5 cm. Arrange the interior angles according to their size. - Parking
One hundred twenty vehicles are parked in the morning. Passenger car is charged 20 CZK and 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and buses stood in the parking? - Bevel
I have a bevel in the ratio 1:6. What is the angle, and how do I calculate it? - Digging companies
Company A would dig a pit for 12 days, company B for 15 days, company C for 20 days, and company D for 24 days. Work began with companies C and D, but after three days, They joined the other two companies. How long did it take to dig a pit? - Seamstress 2
The seamstress bought two kinds of textile in whole meters. One at 50 SKK and the second at 70 SKK per meter. How many meters were bought from these two textiles when paid 1540 SKK totally? - Three men
Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old? - Median
In the ABC triangle is given side a=10 cm and median to side a: ta= 13 cm, and angle gamma 90°. Calculate the length of the median to side b (tb). - Cross-country competition
The cross-country competition was attended by 76% of pupils of class 9B. The class consists of 16 boys, two of whom did not run, and four girls did not run. How many girls go to class 9B? - Eva
When Eva bought eight packages of cookies, 4 CZK left her. If she wanted to buy ten packages, she would have to borrow 20 CZK. How much money does Eva have in her wallet? - Mrs XY
Mrs. Novak is employed. In January 2015, the gross income reached € 855. Insurance is a 205.2 euro and income tax 97.47 euros. Employer precipitated Mrs. Novak in recent clashes € 135, of which 69 euros is for the savings account, and 66 euros is for repa - Summerjob
Albert, Beny, Cyril, and Dan worked on a summer job. From the total revenue, Albert received 2/5, Beny 1/6, 3/10 Cyril, and Dan the rest, which is 324 euros. How many euros were earned for every one of them? - RT and ratio
A right triangle whose legs are in a ratio 7:14 has a hypotenuse 79 m long. How long are its legs?
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