Area of a shape + addition - practice problems
Number of problems found: 24
- A farmer 9
A farmer has 3 hectares of an orchard. ½ of the land is occupied by apples, ⅙ of the remainder is occupied by lemon trees, and tree tomatoes occupy the rest of it. Find the fraction of the land occupied by tree tomatoes. - Sonya
Sonya, Jill, and Donna run each Monday. Jill ran 6/12 of an hour, and Donna ran 5/12 of an hour. If the girls ran a total of one whole hour, what fraction of an hour did Sonya run? - Trim the bushes
Mason is always helping him to trim the bushes. The area A had a length of 14 m and a breadth of 7 m, and if we are going to combine A and B, the equal is 215 m². The question is: what is the area of B? - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m².
- A bakery
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one-fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equa - Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Area and perimeter 2
Find the area and the perimeter of a rectangle of length 45 1/2 cm and breadth 16 2/3 cm. - Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Ninety-one 80354
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf?
- Calculate 3163
Calculate and convert: 0.2m² + 80dm² + 200cm² = how many m2 - De Moivre's formula
There are two distinct complex numbers, such that z³ is equal to 1 and z is not equal to 1. Calculate the sum of these two numbers. - Five friends
Five friends ate a 12-slice pizza. Samir ate three times as many slices as Joe. Joe ate half as many slices as Emily. Kendra and Fong together ate half a pizza. Kendra ate one-third as many slices as Samir. Fong ate the most slices. What fraction of a piz - Three rectangles
Some wire is used to make three rectangles: A, B, and C. Rectangle B's dimensions are 3/5 cm larger than Rectangle A's dimensions, and Rectangle C's dimensions are again 3/5 cm larger than Rectangle B's dimensions. Rectangle A is 2 cm by 3 1/5 cm. What is - Clarissa 2
Clarissa is cutting construction paper into rectangles for a project. She needs to cut one 12 inches x 15 1/3 inches rectangle. She needs to cut another rectangle 10 1/4 inches by 10 1/3 inches. How many Total square inches of construction paper does Clar
- Rectangular garden
The rectangular garden has a length of 48.7 m and a width of 6.3 meters shorter than the length. How much mesh should be bought for its fencing if the gate is 2.9 m long and the gate 1.1 m? What is the area of the garden? - Trapezoid 80809
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more bag in each row than the previous one. How many bags do I need for the entire roof? - Afternoon 5922
Tractors plowed a field of 15 3/4 ha. Its plowed 3 1/3 ha in the morning, 2 5/6 ha in the afternoon, and 4 1/4 ha at night. How many hectares were left to plow the next day? - Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it had the form of a square again. How many meters has the length of each side of the garden been extended? - Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 16 cm. Calculate: a) the sum of peri
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