Lesson Plans SET B for Grades 5-6-Homework Level 5-6 Lesson 9- Set B- Geometry

Homework Level 5-6 Lesson 9- Set B- Geometry

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This Math Kangaroo homework for Class Level 5-6 focuses on geometry and includes five problems with their respective answers.<br /><br />1. The first problem involves calculating the area of a figure created by drawing squares from each side of a 2 cm by 3 cm rectangle. The solution provided gives an area of 32 cm² for the entire figure.<br /><br />2. The second problem involves a rectangle, ABCD, which is divided into four smaller rectangles. The perimeters of three of these smaller rectangles are given as 20, 22, and 24, with the perimeter of the fourth rectangle equal to one of these values. The task is to find the perimeter of the original rectangle ABCD, which is determined to be 44.<br /><br />3. In the third question, five different figures (A through E), each composed of five blocks, are presented. The goal is to identify which figure matches the shape of another provided figure. The correct answer is figure A.<br /><br />4. The fourth problem involves four equilateral triangles whose bases correspond to the sides of a square. Within this square, four circles with radii of 3 are inscribed. The task is to find the perimeter of a four-pointed star, resulting in a total perimeter of 96.<br /><br />5. The final question concerns two identical small circles drawn along the diameter of a larger circle, which is encompassed by square ABCD. Given that the area of square ABCD is 64, the problem asks for the radius of one of the small circles, which is calculated to be 2.<br /><br />These problems require understanding of basic geometric concepts and calculations involving areas, perimeters, and understanding symmetries and properties of shapes.

Keywords

Math Kangaroo

geometry

Class Level 5-6

area calculation

rectangle perimeter

figure matching

equilateral triangles

inscribed circles

square area

geometric concepts