Maths practice for 14 year olds - page 176 of 361
Number of problems found: 7217
- School club
Six boys, nine girls, and a teacher played in the school club. What probability will they point at the boy when they play the counting game? - Course children calculation
25% of children did not attend the course because they were ill. Forty-eight children passed the course. How many children were initially supposed to complete the course? - Triangular prism
The base of the perpendicular triangular prism is a rectangular triangle with a hypotenuse of 10 cm and one leg of 8 cm. The prism height is 75% of the perimeter of the base. Calculate the volume and surface of the prism. - Cylinder height radius
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm². - Pyramid surface calculation
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Isosceles triangle area
How many dm² of the area is an isosceles triangle if the angle at the base is 45˚ and the bottom is 10 cm long? - Cone surface calculation
The volume of a cone with a radius of 6 cm is 301.44 cm cubic. What is its surface? - Resistor resistance calculation
At a certain point, we measured a voltage of 3.74 V at a current of 170 mA at the terminals of a resistor connected to an electrical circuit. Calculate the resistance of the resistor. - Team placement calculation
Peter calculated the number of placement options with four teams, A, B, C, and D, in the first three places. He helped himself with a tree diagram. Complete the solution. - Solution mixing calculation
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution? - Right angle
If b=10, c=6, and c are two sides of a triangle ABC, a right angle is at the vertex A, find the value on each unknown side. - Complaint resolution calculation
Of all the complaints submitted, 741 were successfully resolved. These represented 95% of all complaints. How many complaints were there? - Heating element power
A heating element with a resistance of 1.6 Ω is used to heat the car's rear glass. The body is connected to the battery in the car, which has a voltage of 12 V. a) What is the power input of the heating element? b) How much heat does the heating element g - Tent fabric calculation
The children's tent with a beech wood floor has the shape of a regular four-sided pyramid with a base edge of 1.25 m and a height of 80 cm. How many m² of fabric do we need to finish the tent if we add 12% material to the folds? - Machine tool transport
They were to dispatch and transport 35 machine tools of two types with a total weight of 16.54 tons from the plant. The machine of the first type weighed 420 kg. The second was 80 kilograms heavier. How many machines of the first and second kind did they - Column rope length
The column is fixed in a vertical position by 3 ropes, which are caught at the height of 3 m above the ground. The other ends of the ropes are anchored to the ground at a distance of 4 m from the base of the column. How much rope was used to secure the po - Rake tree distance
Emma was raking leaves in the garden. During lunch, she leaned the 170 cm long rake against a tree, with the upper end reaching a height of 90 cm. How far from the tree was the bottom of the rake? Enter the result in whole centimeters. - Aircraft altitude calculation
Radar sees an aircraft at an altitude angle of 15°24', and the direct distance from the radar is 5545 m. At what altitude does the aircraft fly? - Average speed
A car traveled from city A to city B at a speed of 40 km/h, then from B to C at 60 km/h, and finally from C to D at 50 km/h. Calculate the car's average speed over the entire route from A to D if the distance from A to B is 20% of the total distance and f - Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route?
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