Maths practice for 14 year olds - page 129 of 362
Number of problems found: 7236
- Number series continuation
Continuation of the number series 9,12,18,27 - Cube volume increase
The edge of an 8 cm cube is increased by 20%. By how much does the volume increase compared to the original cube? - Tetrahedron surface area
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm. - Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24 cm and the arms have a length b = 13 cm. - Pyramid volume surface
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27 m3 - Larger sphere
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - Deadline
Five equally skilled masons built half the wall in 14 days. They must build the remaining part in 6 days to catch the planned deadline. How many more masons need to be allocated for construction? - Permutation exclusion problem
I want to find the number of permutations of the set M6 if not one element is in that position as in the original input (1 2 3 4 5 6). So I have to exclude numbers with 1 in 1st place, 2 in 2nd place, and 3 in 3rd place. - Dodecagon
Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - The volleyball ball
The volleyball ball can have a circumference of at least 650 max 750 mm after inflation. What air volume can this ball hold if its circumference is the average of the minimum and maximum inflation of the ball? - Girl pupil percentage
Of the total number of pupils in the class, 65% are boys. How many percent of the girls are? - Brigade work distribution
Hansel and Ferek brigade together. They divided the work in a ratio of 4:6. Frank was paid 24 euros. How many euros did they earn together? - Rectangular base Calculate the pyramid's surface area with a rectangular base measuring 9 cm, 4 cm, and 6 cm high.
- Rectangle circumference area
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Tourist route
Tourists covered 15% of their route on the first day and a fifth of the remainder on the second day. They still had 34 km left to go. How many kilometres did they travel on the second day? - Pyramid surface
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area. - Hypotenuse size
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - Sphere surface
Express in square centimeters the surface of a sphere whose radius is equal to one-quarter of the radius of the cone. The diameter of the base of the cone is 20 cm. - Sphere radius
Calculate the radius of a sphere with the same volume as a cone with a base radius of 5 cm and a height of 7 cm.
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