Planimetrics - practice for 12 year olds - page 43 of 51
Number of problems found: 1017
- Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - Perimeter 4497
The width of the rectangle is 65% of the length. Calculate the lengths of the sides of a rectangle if its perimeter is 132dm. - Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Circumference 3589
Calculate the circle's radius if the circumference and area are in a 2:5 ratio.
- Difference 79094
Trapezoid, gamma angle=121°, alpha angle=2 thirds of delta angle. Calculate the angle difference alpha, beta - Medians in triangle
The median of the isosceles triangle has a length of 3 cm. Determine the size of its sides if its perimeter is 16 cm. - Interior angles
Calculate the interior angles of a triangle that are in the ratio 2:3:4. - Circumference 20703
How do I change the length of a diamond's side if I want its circumference to double? - Dimensions 26713
A rectangle with dimensions of 11 x 13 pieces consists of 11*13 = 143 small identical squares. How many squares, made up of nine small squares, can be drawn in this rectangle (squares can overlap)?
- Dimensions 7706
Change both dimensions of the rectangle in a ratio of 9:4. Flood dimensions are 0.8 dm and 16 cm. What are the dimensions of the rectangle after the change? - Jewelry box
The bottom of Zeyda's jewelry box is a rectangle with a length of 5 3/8 inches and a width of 3 1/4 inches. What is the area at the bottom of the jewelry box? - Tree trunk
Calculate the average tree trunk with a circumference of 192 cm. - Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles. - Smaller 81015
Divide the area S=153 m² of the square garden in a ratio of 2:7. What part of the garden does the smaller part occupy?
- Two gardeners
The garden with an area of 81 square meters was divided by two gardeners in a ratio of 4:5. How much did the second gardener get more first? - Magnification 7927
The photo has 6cm and 9cm dimensions and should be enlarged 8: 3. What will be the dimensions after magnification? - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - Magnification of the square
If we increase the square side, increase the area of the 70 %. About what percentage was increased on its side? - Calculate 82878
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six.
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