# Grade - examples - page 50

1. Divisors Find all divisors of number 493. How many are them?
2. Computer A line of print on a computer contains 64 characters (letters, spacers or other chars). Find how many characters there are in 7 lines.
3. Cars plates How many different licence plates can country have, given that they use 3 letters followed by 3 digits?
4. RT and ratio A right triangle whose legs are in a ratio 6:12 has hypotenuse 68 m long. How long are its legs?
5. Four-digit number Find also a four-digit number, which quadrupled written backwards is the same number.
6. Cube 6 Volume of the cube is 216 cm3, calculate its surface area.
7. Field with vegetables Field planted with vegetables has shape of a rectangular isosceles triangle with leg length of 24 m. At the vertices of the triangle are positioned rotating sprinklers with a range of 12 m. How much of the field sprinkler doesn't irrigated?
8. Workman - shift The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components?
9. Swing A child weighing 12 kg is sitting on a swing at a distance of 130 cm from the axis of rotation. How far away from the axis of rotation (center) must sit down his mother weighs 57 kg if she wants to be swing in balance?
10. Half life Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes.
11. Trapezoid ABCD Calculate the perimeter of trapezoid ABCD if we know the side c=15, b=19 which is also a height and side d=20.
12. Chestnuts Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian?
13. Cone and cube About what percentage hase cone with base radius r larger volume than same high cube with square base with edge length r?
14. The body The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
15. Map 2 At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
16. Rhombus The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
17. Water On the lawn which has area 914 m2 rained 3 mm of water. How many liters of water rained?
18. Number Is number 5.146852 irrational?
19. Tickets Tickets to the zoo cost \$4 for children, \$5 for teenagers and \$6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was \$5300. For every 3 teenagers, 8 children went to the zoo. How many te
20. Summand One of the summands is 145. The second is 10 more. Determine the sum of the summands.

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