# Examples for 8th grade - page 14

- Unknown x

If we add to unknown number 21, then divide by 6 and then subtract 51, we get back an unknown number. What is this unknown number? - Sale

If the product twice price cut by 25%, what percentage was price cut in total? - Circle section

Equilateral triangle with side 34 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector. - 2x cone

Circular cone height 76 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone. - Solidarity

Imagine a word solidarity means that salt donation to the needy, who have neither the salt. If we take word solidarity has word base salt + gift (only in Slovakian language). Calculate how many kilos of salt sympathetic citizen "gives" government a year i - Jewel

Rhombus-shaped jewel have area of 153 mm^{2}and the edge in long 13.9 mm. Calculate the size of rhombus acute angle. - Pentagon

Within a regular pentagon ABCDE point P is such that the triangle is equilateral ABP. How big is the angle BCP? Make a sketch. - 4s pyramid

Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height? - Square

Calculate area of the square with diagonal 64 cm. - Trapezoid

Are diagonals in a rectangular trapezoid perpendicular and bisect the angles? - Inheritance

After death father (♱ 62) remained mother (his wife) and its 3 children. Inheritance by law is that in first mother will automatically get half of the property and other one half inherite by heirs witch are mother and her 3 children by same share. Cal - Circle and angle

What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad? - Discounts on rail (ZSSK)

The railway company ZSSK offers a discount of 25% (KLASIK RAILPLUS) for 35 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 20 Eur per week. - The chord

Side of the triangle inscribed in a circle is a chord passing through circle center. What size are the internal angles of a triangle, if one of them is 40°? - Sequence

In the arithmetic sequence is a_{1}=-1, d=4. Which member is equal to the number 203? - Accidents

The count of accidents in 1995 caused 8780 women which is 8.4%. How many men caused the accidents? - Pillar

Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 19, b = 27 and height is h = 48. - Prism

The base of the prism is a rhombus with a side 30 cm and height 27 cm. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Balls

Ping pong balls have a diameter of approximately 4.6 cm. They are sold in boxes of 4 pieces: each box has the shape of a cuboid with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled w - Required reserves

Calculate what is the minimum amount of money that bank must hold in cash from your deposit 2750 Eur. How much money is ideally created in the banking system from your deposit if the level of minimum reserve requirement is 2.15%? Consider fractional re

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