Maths practice for 14 year olds - page 169 of 376
Number of problems found: 7511
- Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice?
- Bricklayers
The first bricklayer would build a wall in 3 days, the second in 4 days. The first bricklayer worked alone for a day, then the second bricklayer came to his aid and finished the work together. How long did it take to build the wall?
- Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut.
- Individual 21713
They bought 22 sets of crayons for the school group. Larger sets cost CZK 65, and smaller ones cost only CZK 50. They paid CZK 1,280 for all sets. How many individual types of crayon sets did they buy?
- The rescue helicopter
The rescue helicopter is above the landing site at a height of 180m. The rescue operation site can be seen from here at a depth angle of 52°40'. How far will the helicopter land from the rescue site?
- Součková 21673
Ms. Součková bought 6 orange and 5 apple juices and paid a total of 254 CZK. Mrs. Derner bought 6 apple juice and 5 orange juice and paid CZK 2 less for them than Mrs. Součková. How much did each juice cost?
- goniometric functions
Based on the fact that you know the values of sin and cos of a given angle and you know that tan (tangent) is their ratio, determine d) tan 120 ° e) tan 330 °
- Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals.
- Seedlings 21583
Mrs. Beránková bought flowers for spring planting. Begonias were CZK 35 each, and geraniums CZK 48 each. She paid CZK 1,070 for 25 seedlings. How many begonia seedlings and how many nutmeg seedlings did she purchase?
- Above-average 21533
The company has 1,440 employees (men and women). 18.75% of all men and 22.5% of all women received bonuses for above-average results. A total of 20% of employees were rewarded with bonuses. How many men and how many women are employed in the company?
- Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm.
- Sixty-three 21513
Sixty-three children went to the camp. There are seven more boys than girls. How many boys went to the camp, and how many girls?
- Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³.
- Similarity of two triangles
The KLM triangle has a side length of k = 6.3cm, l = 8.1cm, m = 11.1cm. The triangle XYZ has a side length of x = 8.4cm, y = 10.8cm, z = 14.8cm. Are triangle KLM and XYZ similar? (write 0. If not, if yes, find and write the coefficient of a similarity)
- Representing 21473
Six 7th graders, representing 24% of all graders, had honors. How many students are in the class?
- Clock hands
Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6, and 11 hours.
- A kite
Children have a kite on an 80m long rope, which floats above a place 25m from the place where children stand. How high is the dragon floating above the terrain?
- Difference of legs
In a right triangle, the hypotenuse length is 65 m, and the difference between legs is 23 m. Calculate the perimeter of this triangle.
- Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification.
- Tiles
The pupils of the building school have to calculate how many roof tiles they will need to cover the roof of the house in the shape of two rectangles measuring 10 x 7.2 m. One roof tile covers a rectangular area of 22 cm x 32 cm. How many tiles will they n
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