Examples for secondary school students - page 192 of 223
Number of problems found: 4443
- Cardboard box
We want to make a cardboard box-shaped quadrangular prism with a rhombic base. The rhombus has a side of 5 cm and 8 cm, one diagonal long. The height of the box is 12 cm. The box will be open at the top. How many square centimeters do we need if we calcul
- Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices.
- Store
Peter paid 3 euros in-store, more than half the amount on arrival at the store. When he left the shop, he had 10 euros in his wallet. How many euros does he have upon arrival at the store?
- Piano
If Suzan practices 10 minutes on Monday, every other day, she wants to practice two times as much as the previous day. How many hours and minutes will she have to practice on Friday?
- Rhomboid
The rhomboid sides' dimensions are a= |AB|=5cm, b = |BC|=6 cm, and the angle's size at vertex A is 60°. What is the length of the diagonal AC?
- Invitations
For every 5 minutes, writes Dana had ten invitations, while Anna had 14 invitations. How long will write together 120 invitations?
- Garden pool
Mr. Novak fills the garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool?
- Rotary cylinder
The rotating cylinder has a surface area of 69.08 cm². The area of the shell is 62.8 cm ². What is the diameter of the cylinder?
- Statements true/false
Which of the statements is not correct: ...
- Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Tent
A pyramid-shaped tent has a base square with a side length of 2 m and a height of 1.7 m. How many meters of canvas is needed to make it if we should add 10% for waste?
- Bottles of juice
How many 2-liter bottles of juice need to buy if you want to transfer the juice to 50 pitchers' rotary cone shape with a diameter of 24 cm and a base side length of 1.5 dm?
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
- Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine the angles of the triangle ABC.
- Medians in triangle
The median of the isosceles triangle is 3 cm long. If its perimeter is 16 cm, determine the size of its sides.
- Isosceles trapezoid
The bases of the isosceles trapezoid are in the ratio of 5:3. The arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
- Parallelogram
The parallelogram has side lengths in the ratio of 3:4 and a perimeter of 2.8 meters. Determine the sides' lengths.
- Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere.
- Three-digit
How many three-digit natural numbers are greater than 321 if no digit in the number is repeated?
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