Maths practice for 14 year olds - page 364 of 379
Number of problems found: 7567
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[-1,-4] and B[-6,-7]?
- ABS
What is the value of ||-81|-|-90||?
- Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is:
- Reciprocal
What is the reciprocal of the sum of the reciprocals of 7 and 6?
- Parallelogram
Calculate area of the parallelogram ABCD as shown if |AB| = 13 cm, |BC| = 99 cm and angle BAD = 100°
- 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 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?
- Cone
If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone?
- 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?
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