Examples for secondary school students - page 109 of 229
Number of problems found: 4578
- Calculate 9221
There are two sloths in the tree's branches. One is 2.5 m from the trunk, and the other is on the other side of the tree, 4 m from the trunk. The sloths head out to get to know each other. Calculate how far from the log they will meet if they climb at the
- Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area?
- Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then?
- Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks
- The hiker
The hiker will travel 40% of the route on the first day and 1/3 of the rest on the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day?
- The business
The business earned CZK 98,400 in the shop in three weeks. Sales were 20% higher in the second week than in the first week. The third week was 10% lower than the second week. How much did the business earn each week?
- Checkerboard 9091
Determine how many ways we can place 5 different pieces on an 8x8 chessboard so that two are on black squares and three are on white squares.
- Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm².
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- Graduation party
There were 15 boys and 12 girls at the graduation party. Determine how many four couples can be selected.
- Records
Records indicate 90% error-free. If eight records are randomly selected, what is the probability that at least two records have no errors?
- Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if we add 10% of the material to the folds?
- Drilling machine
A manufacturing firm purchased a heavy-duty drilling machine. They were given two payment options: Option 1: Make a payment of $46,000 immediately to settle the invoice for the machine. Option 2: Pay $21,500 immediately and the balance of $23,550 in 3 mon
- Motorcyclist 8671
The motorcyclist was riding: a) the first half of the driving time at a speed of 30 km/h, the second half of the time at a speed of 60 km/h, b) the track's first half at a speed of 30 km/h and the second half at a speed of 60 km/h. Determine its average s
- Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has three children. What is the probability of this family having one child who inher
- Determine 8611
Determine all natural numbers A and B pairs for which the sum of twice the least common multiple and three times the greatest common divisor of natural numbers A and B is equal to their product.
- Distance 8591
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)?
- Prices
The price of the product was increased by 35%. How much percent of the new price do we have to make it cheaper so that its price is equal to the original price?
- The roof
The roof has a spherical canopy with a base diameter of 8 m and a height of 2 m. Calculate the foil area with which the roof is covered when calculating 13% for waste and residues.
- 60-meter-long 8472
A 60-meter-long rope anchors the column at 3/4 of its height. The rope is anchored in the ground at a distance of 15 meters from the base of the column. Calculate the height of the column (in tenths).
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.