Ratio - math word problems - page 71 of 79
Number of problems found: 1570
- Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88?
- Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm². What is the area of trapezoid ABCD?
- Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off?
- Bases
The length of the bases trapezium is in ratio 4:5. The length of the midline is 15. How long are the bases of a trapezoid?
- Divers
20-member group of divers carries the air for 15 hours of diving. 4 members of the expedition were sick or weren't coming. How many hours is sufficient air to other divers?
- Circle section
An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio between the circumference to the circle sector a
- Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
- Axial section
The axial section of the cylinder is diagonal 45 cm long, and we know that the area of the side and the base area are in ratio 6:5. Calculate the height and radius of the cylinder base.
- Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 40 m. The water depth at the beginning of the pool is 1.09 m (for children), and the depth at the end is 1.88 m (for swimmers). Calculated slope write it as a percentage and also
- Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc?
- Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality?
- Bureaucracy
23 people attended the office. 9 of them completed the questionnaire. What is the percentage of all people?
- Ratio
Unfold number 3690 in the ratio 15:11:4.
- Metallurgical enterprise
Metallurgical company daily produces 616 tons of cast iron. How many tons of coke does it burn to melt cast iron when 16 tons of cast consumes 11 tons of coke?
- Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 7:8:7. Determine the size of the angles of the triangle ΔABC.
- Lie/do not lie
The rule f(x) = -x-10 gives the function. Find whether point C[5; -15] lies on this function. Solve graphically or numerically and give reasons for your answer.
- Linear independence
Determine if vectors u=(-4; -10) and v=(-2; -7) are linear dependents.
- Car range
Calculate the maximum range of cars, if you can spend 5 euros, the diesel price is 1.6 Eur/l, and car consumption is 5.4 l/100 km.
- Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle.
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