Math practice for 13 year olds - page 195 of 415

Number of problems found: 8281

Trapezoid - construction
Construct a trapezoid KLMN, where: k = 9 cm, l = 4 cm, m = 5 cm and angle α = 45°
Invoice arrears interest
Mrs. Zdena took over the goods that were ordered, which were worth 5000€. She did not pay the invoice by the required date of 31.5.2019. Interest on arrears is 5.5% per annum. Calculate the payment as of 31.8.2019.
Fabric width consumption
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide?
Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2)
Calculate sphere
Calculate the surface area and mass of a sphere whose volume is 707.54 cm³, made of a material with a density of 7.8 g/cm³.
Barrel and buckets
The barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height?
Cylinder sheet calculation
Calculate the area of sheet metal needed to make a closed cylindrical vessel with a radius of 2.5 m and a height of 1.2 m if the joints and waste count for 6%.
The volume
The volume of the sphere is 1 m³. What is its surface?
Mirror reflection count
If I have two plane mirrors at a distance of about 10 cm, how many times will the displayed object (pin) appear to me?
Straight road
The straight road has a rise of 19%. How big is the pitch angle?
Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm.
Used cars
Peter plans to buy a used car: The first car was a Renault Espace 2.0 dCi 16 V Dynamique 2006, which cost 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm?
Roof sheet calculation
Above the pavilion, with a square floor plan with side a = 12 m, is a pyramid-shaped roof with a height of 4.5 m. How many m² of sheet metal is needed to cover this roof?
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm.
Number combination
1. How many different options are there for exchanging a ten-euro bill with one-euro, two-euro, and five-euro bills? a) 5 b) 8 c) 14 d) 10 2. How many non-repeating three-digit numbers can be written using odd digits? a) 999 b) 225 c) 60 d) 25
A dodecagon
Find the surface area of a regular 12-sided polygon if its side is a = 12 cm.
Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously.
Fulfilment of an order
A textile company deployed 6 looms to fulfil an order. On these 6 looms together it is possible to weave the amount of cloth requested by the customer in 18 days. After 2 days, the company put 2 more looms into operation, which were also involved in fulfi

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