# Algebra - problems - page 21

1. RT and ratio A right triangle whose legs are in a ratio 6:12 has hypotenuse 68 m long. How long are its legs?
2. Four-digit number Find also a four-digit number, which quadrupled written backwards is the same number.
3. 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?
4. 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?
5. 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.
6. Chestnuts Neil has 5-times chestnuts less than Adrian. Together they have 894 chestnuts. How many chestnuts has Neil and Adrian?
7. 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.
8. Number Is number 5.146852 irrational?
9. 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
10. Revenue Mr. Robert and Mr. Norbert get together € 1400. The revenue split in the ratio of 4:3, depending upon each work. How many got each of them?
11. Spirit From 55% and 80% spirit we would like to produce 0.2 kg of 60% spirit. How many of them we must use in a solution? Number 839 divide into the two addends that the first was 17 greater than 60% of the second. Determine these addends.
13. Exam average Average of marks that have on the certificates students of 8.A class in mathematics is exactly 2.45. If we did not add 1 and 3 of sutdents Michael and Alena, who arrived a month ago, it would average exactly 2.5. Determine how many students have class 8.
14. Cubes Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes.
15. Mother and daughter Three years ago mother was three times older than daughter. After nine years she will be only twice old. How old is mother (and daughter)?
16. Warehouse cars From the warehouse started truck at speed 40km/h. After 1hour 30mins started from the same place same direction a car at speed 70 km/h. For how long and at what distance from the warehouse overtake a truck?
17. Suit The suit cost 119 euros. How much cost the pants if it is 50% cheaper than the jacket.
18. Square tiles The room has dimensions 12 meters and 5.6 meters. Determine the number of square tiles and their largest dimension to exactly cover the floor.
19. Cone container Rotary cone-shaped container has a volume 1000 cubic cm and a height 12 cm. Calculate how much metal we need for making this package.
20. Grandfather The grandfather is three years older than an grandmother. The average age of the grandmother, the grandfather and their seven grandchildren is 28 years. The grandchildren have a total of 105 years. Calculate how old is grandfather.

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