Math practice for 13 year olds - page 405 of 413
Number of problems found: 8253
- Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - Wiring
A conduit has a cross-section of 54 mm². Is it possible to fit 6 conductors each with a cross-section of 6.7 mm² inside it? - Wheat
A rectangular field with dimensions 529 m × 1001 m yielded 2780 quintals of wheat last year (1 quintal = 100 kg). During the year, a pipe had to be repaired, which meant that a strip 4 m wide parallel to the side of length 1001 m could not be used for gro - Blood
In the human body, the blood is about 7.3% body weight. How many kilograms of blood are in the human body with a weight of 91 kg? - River
Calculate the average gradient in per mille of river Hudson, given that along a 952 km section the water flows from 1231 m above sea level down to 131 m above sea level. - Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Fraction
For what x expression (x²-64)/(10x² -80x) equals zero? - Tippler
Bottle with cork cost 6.6 Eur. The bottle is 0.6 euros more expensive than the cork. How much are a bottle and the cork? - Compare II
Which of the numbers 710 and 107 is greater? - Fixed expenses 2013
Since 2013, the Slovak government has had plans to tax more small one-person businesses. Instead of fixed expenses, 40% will be fixed expenses 40% of gross income up to 420 Eur. Calculate the percentage of fixed expenses that will be paid in 2013 from gro - Mast
A mast casts a shadow of length 16 on a slope that rises from the base of the mast in the direction of the shadow at an angle of 9.7°. Determine the height of the mast if the sun is at an angle of 40°48'° above the horizon. - Sea
How far can you see from the top of a ship's mast that is 9 metres above sea level? (The Earth's radius is 6370 km km.) - Equator
Suppose a tourist walked all the way around the Earth along the equator. How many more metres would the tourist's hat travel than the soles of their shoes? The radius of the Earth is 6378 km, and the tourist's height is 1.7 m. - Cyclist
A cyclist rides 7 km uphill in 46.9 minutes and the same distance downhill in 15.4 minutes, applying the same force to the pedals throughout. How long would it take to cycle the same 7 km on flat ground? - Expansion
If one side of a rectangle is multiplied by 2 and the other side by 4, by what percentage does the area increase? - Powers
Express the expression (1000) ^ (21) * (10) ^ (101) * (10) ^ (145) as the n-th power of the base 10. - Daily average
Calculate the average temperature during the day if the temperature was 24 °C for 14 hours and 14 °C for 10 hours. - Rectangle
In a rectangle with sides 8 and 9, a diagonal is drawn. What is the probability that a randomly selected point inside the rectangle is closer to the diagonal than to any side of the rectangle? - Common chord
Two circles with radii 18 cm and 20 cm intersect at two points. Their common chord is 11 cm long. What is the distance between the centres of these circles? - Map
A forest has an area of 77 ha. What area does it occupy on a map at scale 1:10000?
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