Equations practice problems - page 225 of 250
Number of problems found: 4996
- The hall
The hall had a rectangular ground plan, one dimension 20 m longer than the other. After rebuilding, the length of the hall declined by 5 m, and the width increased by 10 m. The floor area increased by 300 m². What were the original dimensions of the hall? - Grandmother and grandfather
Grandmother baked cakes. Grandfather ate half, then a quarter of the rest ate Peter, and Paul ate half of the rest. There were six cakes left for parents. How many cakes were made by the grandmother? - Circular flowerbed
We split the circular flowerbed with a diameter 8 m by concentric circles to circles and annulus with the same area. Find the radius of the circle. - Distance runner
Distance runners have already climbed three-fifths of the total route. Thus, he passed 90 km. How many km does he have left? How long is his route? - Trapezoid v3
The isosceles trapezoid has an angle at the first base 40 degrees less than the angle at the second base. How large angles has this trapezoid? - Holiday SMS
Kucera and Malek start the holiday together. They agreed that they would send an SMS if they were 100 km apart. Kucera traveling at 60 km/h., Malek 90 km/h. They started at 14 hours PM. At what time do they send a message? - Cookies
Mom bake cookies. Rolo took 2/9 of all cookies, and Michal 3/9. How many cookies ate Rolo if Michal had 9? - Orchard
The route passes the trapezoidal orchard perpendicular to the parallel sides. It is 80 cm wide. The lengths of the bases are in the ratio 5:3. The length of the longer base to the size of the path is in the ratio of 5:6. How many square meters occupy the - Mom and daughter
The mother is 39 years old, and her daughter is 15. Will the mother be four times older than the daughter for many years? - Internal angles IST
Determine internal angles of isosceles trapezium ABCD /a, c are the bases/ and if: alpha:gamma = 1:3 - Swing
A child weighing 12 kg is sitting on a swing at 130 cm from the rotation axis. How far away from the rotation (center) axis must he sit down? His mother weighs 57 kg if she wants to be swung in balance. - Perimeter and legs
Determine the perimeter of a right triangle if the length of one leg is 75%, the length of the second leg, and its area is 24 cm². - Pedestrian and cyclist
A Pedestrian out with a speed of 4 km/hour from the city center and after 1 hour and 10 minutes came after him cyclist at a speed of 18 km/h. In how many minutes does he catch up with the pedestrian? - The ship
The ship went at the upstream speed of 20 km/h in relation to water. The river flows at a speed of 10 km/h. After half an hour, he stopped and returned downstream to the starting point. How long does it take back when even if the downstream speed of the s - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Dining room
The dining room has 11 tables (six and eight seats). In total, there are 78 seats in the dining room. How many are six-and eight-seat tables? - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Father and son
The father is three times older than his son. Twelve years ago, the father was nine times more senior than the son. How old are father and son? - Antennas
If you give me two antennas, it will be the same. If you give me again your two antennas, I have 5× so many more than you. How many antennas have both men? - Profits
Two members will make a profit of 52,000 EUR. The first earned 8% more and the second 10% more and thus earned 56,700 EUR together. How much will each initially earn?
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