Maths practice for 14 year olds - page 123 of 378
Number of problems found: 7553
- Calculate
Calculate the height to the base of the isosceles triangle ABC if the base length is c = 24cm and the arms have a length b = 13cm. - Quadrilateral 46431
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 = 27m3 - 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? - Permutations 46323
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. - Regularly 46301
Mišo 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? - Percent 46261
Of the total number of pupils in the class, 65% are boys. How many percent of the girls are? - Together 46221
Jeníček and Ferek brigade together. They divided the work in a ratio of 4:6. Ferko was paid 24 euros. How many euros did they earn together? - Circumference 46171
Calculate the circumference and area of a rectangle with one side 6 cm long and a diagonal 10 cm long. - Kilometers 46161
Tourists missed 15% of the entire route on the first day and a fifth of the rest on the second day. They still had 34km to go. How many kilometers did they travel the next day? - Perpendiculars 46081
Calculate the size of the hypotenuse in a triangle if its perpendiculars are 8 cm and 8.4 cm long. - One-quarter 46001
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. - Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm.
- Harvesting 45961
The father would pick all the apples himself in 8 days. After two days, the son also started harvesting, and after another four days, they finished harvesting. How much would his son pick all the apples for? - Rectangular
Rectangular triangle KLM with right angle at vertex L, angle beta at vertex K, and angle alpha at vertex M. Angle at vertex M = 65°, side l = 17.5 cm. Use Pythagorean theorems and trigonometric functions to calculate the lengths of all sides and the angle - Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - The quadrilateral
The quadrilateral ABCD is composed of two right triangles, ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles of DAB and DBC are right. - Three-digit numbers
How many are all three-digit numbers made up of digits 0,2,5,7 and are divisible by nine if the digits can be repeated?
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