Basic operations and concepts - math word problems - page 299 of 332
Number of problems found: 6633
- Fence and scale
The garden with 80 m of fencing is drawn on a plan as a square with a side length of 4 cm. At what scale is this plan made? - Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area? - Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed. - AM of three numbers
The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers. - Rotaty motion
What minimum speed and frequency do we need to rotate with the water can in a vertical plane along a circle with a radius of 70 cm to prevent water from spilling? - Painting
The room is 50 meters long, wide 60 dm, and 300 cm high. Calculate how much it will cost to paint if the area of windows and doors is 15% of the total area. One square meter costs 50 cents. - Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of the cone and cube. Please write the ratio as a decimal number and as a percentage. - Integer ratio solutions
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - Z7-I-4 stars 4949
Write instead of stars digits, so the next write of the product of the two numbers is valid: ∗ ∗ ∗ · ∗ ∗ ∗ ∗ ∗ ∗ ∗ 4 9 4 9 ∗ ∗ ∗ ∗ ∗ ∗ 4 ∗ ∗ - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%. - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function - Block dimension ratio
The block's dimensions are in the ratio 16:12:8, and the sum of these dimensions is 240 decimetres. What are the dimensions of the block? - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - 2x cone
A circular cone of height 36 cm is cut by a plane parallel to the base, dividing it into two smaller cones of equal volume. Calculate the height of the smaller cone. - Gain
Find the gain whenever the output power is 18x the input power. - Groundwater
A rainwater collection tank has the shape of a prism with trapezoidal cross-section, with parallel sides a = 5 m and c = 7 m, which are 4 metres apart. The depth of the tank is 3 metres. How many hectolitres of water can it hold at most if 8% of its volum - What quantity
What volume of concrete should be ordered for the foundations of a rectangular family house with dimensions of 15 m × 12.6 m, using permanent formwork? The depth of the foundation formed by permanent formwork is set at 80 cm. The concrete used constitutes - Percents from percent
How much is 13% of 20% of 500 greater than 8% of 14% of 200?
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