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1. What number bigger than zero has the property that if we add half of its value to it and take the square root of this sum, we get exactly half of it?

2.   If the polynomial P(x) = x⁴ – kx³ +6x² - x + 3 has the value 9 at x=2, then what is the value of k?

3.    Solve the quadratic equation:
x²+ 2x - 3 = 0

4. Roots of quadratic function y=-3(x-7)(x+2) are:

A. x=-7, x=-2
B. x=7, x=2,
C. x=-7, x=2,
D. x=7, x=-2

5.   Segments |AB| and |CD| are parallel, triangle ABE is equilateral and |AB|=5 and |BD|=7. What is the perimeter of quadrilateral ACDB?

6.    What is the area of ​​a circle with a radius of 3 cm?

7.   Calculate:

Log₆3 + Log₆12

8.  Find a number whose 2% is equal to 9.

9.   The car cost €30,000. its price was reduced by 10%, and then the price after this reduction was again reduced by 10%. How much did the car cost after both discounts?

10.     Calculate the values ​​of the other trigonometric functions of the obtuse angle alpha knowing that sin α=1/3.

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Wordwall - Daha iyi dersleri daha hızlı oluşturun

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Çarkıfelek - Hangi öğenin bir sonraki sırada geldiğini görmek için çarkıfeleği döndürün.

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Wordwall - Create better lessons quicker

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TASK 1

Start

YOU all HAVE PROBABlY already HEARD LEGEND of CHESS. how emperor Sheram decided to reward Seth for teaching him that game. as a reward, Seth asked to be given one grain of wheat on first chess board field, and twice as much on each subsequent one. on the second field 2 grains, on third 4 grains, on fourth 8 grains and so on...You know how story ends and why emperor could not fulfill that request.

20

21

question is: when you reach the field E3 on the chess board, what is the exponent ( power) of number 2?

18

try again

Don't forget write down code for task one:20

correctanswer

TASK 2

Start

Agnieszka is 3 years old, Oliwier is twice her age. how old will oliwier be when agnieszka is 9?

15

18

12

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correctanswer

TASK 3

Start

sum of three consecutive numbers is 45. which of them is smallest?

15

16

14

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correctanswer

TASK 4

Start

6

7

4

water lilies grow on one lake. every day there are twice as many. after 8 days the lake is completely covered with water lilies. which day the lake was half covered with water lilies?

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correctanswer

TASK 5

Start

21

49

7

at the end of the chess tournament, all competitors shook hands. If there were 7 contestants, how many handshakes were there?

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correctanswer

TASK 6

Start

2) ALL SQURES ARE BIG

3) ALL SMALL FIGURES ARE BLUE

1 ) ALL RED FIGURES ARE SQARES

there are squares and triangles on the table. some are big and some are small. some are blue and some are red. if the figure is large, then it is a square. if it's blue, then it's a triangle. which is true:

4) ALL TRIANGLES ARE BLUE

5) ALL SMALL FIGURES ARE BLUE

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correctanswer

TASK 7

Start

8

16

6

Mayra, aylin and sofia are sisters of different ages. average age of all three is 10. average age of aylin and mayra is 11, and average age of mayra and sofia is 12.how old is sofia?

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correctanswer

TASK 8

Start

3

5

1

+ + =92 +2 + =17 + + =9 =?

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Don't forget write down code for task eight :1

correctanswer

TASK 9

Start

5

9

3

THREE playing dices are glued to each other so that they form a sequence. What is the smallest possible sum of points on them that are not visible?

sum of dots on opposite sides of dice is always 7 (1--6 2--5 3--4)

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Don't forget write down code for task nine:9

correctanswer

TASK 10

Start

3

5

1

yasmina needs to write in each box one number in a way that sum of numbers diagonaly gives 13, and sum of numvers on circumferense gives 40. what number must be in the center of circumference?

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correctanswer

TASK 11

Start

13

20

12

a rabbit and a tortoise compete in a 5 km race in a straight line. the rabbit is 5 times faster, but mistakenly started running perpendicular to the track. after a while he saw his mistake and started running straight towards the goal. he arrived at the same time as the turtle. what is the distance from the point where he turned to the goal?

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Don't forget write down code for task eleven:13

correctanswer

congratulations

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TASK 1 Start YOU all HAVE PROBABlY already HEARD LEGEND of CHESS. how emperor Sheram decided to reward Seth for teaching him that game. as a reward, Seth asked to be given one grain of wheat on first chess board field, and twice as much on each subsequent one.

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Store photos and docs online. Access them from any PC, Mac or phone. Create and work together on Word, Excel or PowerPoint documents.

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Maths and English game - Details - Kahoot!

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Join a game of kahoot here. Kahoot! is a free game-based learning platform that makes it fun to learn - any subject, in any language, on any device, for all ages!

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Digital maths games

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Wordwall - Create better lessons quicker

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Match up - Drag and drop each keyword next to its definition.

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Digital maths games

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Wordwall - Create better lessons quicker

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Match up - Drag and drop each keyword next to its definition.