Maths practice for 14 year olds - page 328 of 368
Number of problems found: 7348
- Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition? - Annual income
The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean. - Bath salts
Bath salt A weighs 900 grams and costs 36,40 CZK. Bath salt B weighs 1000 grams but costs 85 CZK. How much is a bath salt A cheaper than B salt? - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Brass tube
The outer perimeter of the brass tube (ρ = 8.5 g/cm³) is 38 cm. Its mass is 5 kg, length 54 cm. What is the pipe wall thickness? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder. - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 50 cm) is 43 cm? - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the Golden Cross? - Rectangle and circle
The rectangle ABCD has side lengths a = 40 mm and b = 30 mm and is circumscribed by a circle k. Calculate approximately how many centimeters a circle is long. - Annulus
Two concentric circles form an annulus with a width of 10 cm. The radius of the smaller circle is 20 cm. Calculate the area of the annulus. - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Circle sector
The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. - Euclid 5
Calculate the length of remain sides of a right triangle ABC if a = 7 cm and height vc = 5 cm. - Tea blend
Tea blends are made from two kinds of tea. In standard tea, the mixture is two teas in a ratio of 1:3, and 40 g costs 42 CZK. In the premium tea mixture, weighing two teas in the 1:1 and 50 grams ratio costs 60 CZK. How much cost 10 grams of a more expens - Average
If the average(arithmetic mean) of three numbers x,y, and z are 50. What is the average of their numbers (3x +10), (3y +10), (3z+10)? - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - Class pairs
In a class of 34 students, including 14 boys and 20 girls. How many couples (heterosexual, boy-girl) can we create? By what formula? - Family parcels
The father will divide the land so that the older son has three bigger parts than the younger son. Later elder son gave a 2.5 ha field to the younger, and they had both the same. Determine the area of the family parcel. - Digits A, B, C
For the various digits A, B, and C is true: the square root of the BC is equal to the A, and the sum B+C is equal to A. Calculate A + 2B + 3C. (BC is a two-digit number, not a product). - Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days?
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