Inequalities - practice problems - last page

Number of problems found: 96

Built-up area
John build-up area 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%?
QuizQ
An isosceles triangle has two sides of length 38 m and 15 m. How long is a third side?
Triangle
For how many integer values of x can 16, 10, and x be the lengths of the sides of a triangle?
Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year?
Intersections
How many intersection points do two circles with radii 16 mm and 15 mm have if the distance between their centres is 16 mm?
R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
Triangle P2
Can a triangle have two right angles?
Reciprocal
Prove that if a > b > 0, then: (1)/(a)< (1)/(b)
Rates
When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m³ of gas a flat monthly fee of 4.2 € (regardless of consumption) rate B - which pays 0.351 € per 1 m³ of gas a flat monthly fee of 10.1 € From what monthly co
3-bracket 3
Two angles of a triangle are 90° and 45°. Does the triangle have at least two equal sides?
3-bracket 2
Can the smallest angle in a triangle be greater than 70°?
3-bracket
Can the largest angle in a triangle be less than 20°?
Widescreen monitor
Widescreen monitors and televisions have flooded the market. Calculate the screen area of an LCD monitor with a diagonal of 27 inches at a 4:3 aspect ratio and then at a 16:9 aspect ratio. Is buying a widescreen monitor with the same diagonal more advanta
Report card
Ivor received grade 5 a total of 4 times at the beginning of the school year. How many times must he now receive grade 1 to achieve grade 2 on the report card?
Party
At a party, everyone clinked glasses with everyone else. They clinked 45 times in total. How many people were at the party?
Right triangle Alef
The obvod of a right triangle is 120 cm, and the hypotenuse is 51 cm long. Determine the lengths of the legs.

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