Math practice for 13 year olds - page 427 of 428
Number of problems found: 8556
- Rectangle
The area of a rectangle is 893. Its length is 28 more than its width. What are the dimensions of the rectangle? - Square diagonal
Calculate the length of the diagonal of a square whose perimeter is 172 cm. - Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm. - Salary
Operatér got to pay 2560 Euros in banknotes of 20 and 500 Eur. Total got 8 banknotes. How many were which? - Chickens and rabbits
In a farmyard there were chickens and rabbits. Together they had 30 heads and 100 legs. How many chickens and how many rabbits were in the yard? - Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube. - Rhombus
Calculate the perimeter and area of a rhombus whose diagonals are 21 cm and 44 cm long. - Playing cards
In how many possible ways can 6 playing cards be shuffled? - Triangle SAA
A triangle has one side of length 23 m and two interior angles of 60°. Calculate its perimeter and area. - Square and circles
A square with side 68 km has a circumscribed circle and an inscribed circle. Determine the radii of both circles. - Cube diagonal Determine the length of the space diagonal of a cube with edge 23 km.
- Ladder
A ladder 8 m long is leaning against a wall. Its foot is 1 m away from the wall. At what height does the ladder touch the wall? - Percentages and numbers
By what percentage is the number 69 smaller the number 276? - Percent calculation
Calculate 12% if 41% is 74. - Car inflation
What percentage of car price increases if the price rises from €4790 to €4890? - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. - Two numbers
Find two numbers whose difference and the ratio are 4. - Acid
A barrel contains 79 litres of 60% acid. What percentage of acid remains when 4 litres are removed and replaced with the same amount of water? - Election mathematics
In elections, 8 political parties received the following shares of votes: strana A ; 56 % strana B ; 11.9 % strana C ; 11.7 % strana D ; 8.8 % strana E ; 6.3 % strana F ; 5.1 % strana G ; 0.2 % Calculate what share each party would obtain in parliament if - Cu thief
A thief stole 25 metres of copper wire with a cross-sectional area of $s mm². Calculate how much money the thief receives by selling it as scrap if copper fetches 5.1 EUR/kg. The density of copper is 8.96 t/m³.
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