Maths practice for 14 year olds - page 355 of 369
Number of problems found: 7369
- VAT
John paid 10 Euros in-store for the purchase. Calculate value-added tax (VAT), which is paid in the purchase, if the VAT rate is 20%.
- Mean
If the mean of the set of data 12, 14, 16, 10, 1, 20, 19, 13, 3, 11, 11, 17, 14, 16, 5, x is -10.8, what is the value of x?
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism?
- Negative percentage
In 2006, the company had a loss of 11100 Euros. Two years later, he was already in profit 50000 Eur. Calculate the percentage of the company's profits that increased in these two years.
- Drinking water
A man drinks a keg of water in 21 days, and a woman drinks in 43 days. How many days do they consume a keg together?
- Stairway
What angle rising stairway if the step height is 20 cm and the width 26 cm?
- Count of triangles
On each side of an ABCD square is 10 internal points. Determine the number of triangles with vertices at these points.
- Distance
Calculate the distance between two points K[6; -9] and G[5; -1].
- River
From the observatory 18 m high and 31 m from the riverbank, river width appears in the visual angle φ = 20°. Calculate the width of the river.
- Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'?
- Sequence
Write the first 7 members of this sequence: a1 = 8 a2 = -9 an+2 = an+1 +4 an
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11
- Equilateral triangle
How long should the minimum radius of the circular plate be cut into an equilateral triangle with side 21 cm from it?
- Two cars
Two cars started against each other simultaneously to journey long 230 km. The first car went 48 km/h and the second 56 km/h. What distance will be between these cars 20 minutes before a meeting?
- Arc
Convert to arc measures (radians): 919 ° The result write as a multiple of π
- Rectangle
The rectangle is 21 cm long and 38 cm wide. Find the radius of the circle circumscribing the rectangle.
- Logs
The trunk diameter is 52 cm. Is it possible to inscribe a square prism with a side 27 cm?
- Lathe
From the cube of edge, 41 cm was a lathed maximum cylinder. What percentage of the cube is left as waste after being lathed?
- Triangle in circle
The vertices of the triangle ABC lie on a circle with a radius 3, which is divided into three parts in the ratio 4:4:4. Calculate the circumference of the triangle ABC.
- Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
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