How many fractions which is equal to 16/18 and also each fraction has 2 digits in both numerator and denominator?

A rectangle is given with a perimeter of 88m. If the width is increased by 4m then the area will also increases by 140m2. Calculate the width and length of that rectangle.

Find a natural number knowing that if we write 1 “0” digit on the right side of that number, then the number’s value increases by 2943.

Triangle ABC is given. Point M is on side AC so that AM = $\frac{1}{4}$ AC. Point N is on side BC so that the triangle MCN’s area is equal to the quadrangle AMNB’s. Find the ratio $\frac{BN}{BC}$ (Write the result as a / b )

Triangle ABC is given with an area is 600 cm². D is the midpoint of the side BC. On the side AC take point E so that AE = $\frac{1}{3}$ AC. AD intersects BE at M. Find the area of the triangle AME.  

Trapezoid ABCD has a small base AB = $\frac{2}{3}$ large base CD. The two diagonals AC and BD intersect at I. Know ing that the area of the triangle CID is greater than the area of the triangle AIB by 193 cm². Find the area of the trapezoid ABCD.

Triangle ABC is given. On BC, take the D point so that BD = $\frac{2}{5}$ BC. Connect A to D with G is the midpoint of AD. Connect B to G then extend and intersect AC at point K. Find the ratio$\frac{AK}{AC}$? 

(Write the result as a / b)

Square ABCD is given. 4 points M; N; P; Q lie on sides AB; BC; CD; DA in order.  AM =  $\frac{1}{3}$ AB; BN = $\frac{1}{3}$ BC; CP = $\frac{1}{3}$ CD and DQ = $\frac{1}{3}$ DA. AN intersect BP at point G and AN intersect at point K; CQ intersect BP and DM at point G and K; CQ intersect BP and DM at point H and I. Find the area of the quadrilateral HIK. Knowing that the area of the square ABCD is 900 cm² ?

A quadrangle MNPQ has two diagonals MP and NQ which intersect at O. Knowing that the area of the triangles MNO; NPO; OPQ are: 670 cm²; 2010 cm²; 2070 cm² in order. Find the area of the quadrangle MNPQ?

Rectangle ABCD is given. M is a point on side CD. Connect B to M. I is midpoint of the line BM. Connect A to I. On the line AI, take point N so that AN = $\frac{2}{3}$ AI.  Connect M with N. Find the area of the rectangle ABCD, knowing that the area of rectangle MNI is 15 cm²?

A bookshelf has two drawers. The number of books in the bottom drawer is three times bigger than the number of books in the upper drawer. If you move 10 books from upper draw to the lower draw, the number of books in the bottom draw is seven times bigger than the number of the upper draw. Find the number of books in each drawer.

Find the smallest natural number so that number has a remainder of 1 when it is divided by 3; remainder of 2 when divided by 4, remainder of 3 when divided by 5 ; remainder of 4 when divided by 6.

There are 6 blue and 8 red marbles in a box. Closing your eyes, at least how many marbles must you draw to make sure that there are at least 3 blue and 4 red marbles?

In a division, the quotient is 8 and its remainder is 5. The sum of the divisor, the dividend and the remainder is 172. Find the values of the divisor and dividend?

The length of a rectangle is 3 times longer than its width. If the width is increased by 3 dm and its length is decreased by 3dm, the area of the new rectangle is increased by 153dm2 compared with the original rectangle. Find the area of the rectangular at first?