# Examples for 9th grade

#### Number of problems found: 2600

- The swing

To swing the two girls. Aneta weight 45 kg and Simon 35 kg weight. How far should sit Simon from the middle of swing so it is balanced, if we know that Aneta is sitting at distance 1,5m? How far are girls sitting apart? - The angles

The angles in the triangle are in the ratio 12: 15: 9. Find the angles. - Book read

If Petra read 10 pages per day, she would read the book two days earlier than she read 6 pages a day. How many pages does a book have? - Dried fruit

The manufacturer produces a mixture of dried fruit. He purchased: 10kg pineapple for 200 Kc/kg 2kg papaya for 180 kc/kg 1kg of banana for 400 Kc/kg How many kgs of raisin for 80 Kc/kg must be put into the mix by the manufacturer so that the production pri - Rhombus MATH

Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Two heights and a side

Construct triangle ABC when the given side is c = 7 cm, height to side a va = 5 cm and height to side b: vb = 4 cm. - Clock hands

Calculate the internal angles of a triangle whose vertices lie on the clock's 2, 6 and 11 hours. - Christmas holidays

How many percent take Christmas holidays lasting 18 days from a school year that lasts 303 days? Round the result to two decimal places - Trapezoidal prism

Calculate the surface of the quadrilateral prism ABCDA'B'C'D 'with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L - Alice

Alice spent 5/11 of her money on a back pack. She has $42 dollars left. How much was her back pack? - Sale off

Product cost 95 euros before sale off. After sale off cost 74 euros and 10 cents. About what percentage of produt became cheaper? - Sum or product

What is the probability that two dice fall will have the sum 7 or product 12? - Linear system

Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Years

Susan is 3 years and as she will be old as Teodor now him will be 11. How old is Teodor today? - The plaster cast

The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Segment in a triangle

In a triangle ABC with the side/AB/ = 24 cm is constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Triangular pyramid

What is the volume of a regular triangular pyramid with a side 3 cm long? - Graduation party

There are 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected. - The truck

The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car was traveling at a speed - Aircraft angines

The two engines of the aircraft are enough to supply the fuel for five hours of operation. However, one of the engines has a malfunction and thus consumes one-third more fuel. How long can the plane be in the air before it runs out of fuel? After an hour

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