CBSE Class 8 Maths The Baudhayana-Pythagoras Theorem (Class 8 NCERT New) Quiz 6

1. Using the dots of a grid as vertices, can you create a square with area 3 square units? Select the correct answer.

A Yes B No

2. Using the dots of a grid as vertices, can you create a square with area 4 square units? Select the correct answer.

A Yes B No

3. Using the dots of a grid as vertices, can you create a square with area 5 square units? Select the correct answer.

A Yes B No

4. Suppose the grid of lattice points extends indefinitely. Which description correctly characterizes all possible integer-valued areas of squares that can be formed using grid points as vertices?

A Exactly the integers that can be expressed as for some integers m and n. B Only perfect squares, because sides must align with the grid. C All even integers, because odd areas cannot occur on a grid. D All integers greater than or equal to 2.

5. Find the area of an equilateral triangle with side length 6 units.

A 9√3 square units B 18 square units C 12√3 square units D 27 square units

6. There are three closed boxes—one containing only red balls, the second only blue balls and the third only green balls. The boxes are labelled RED, BLUE and GREEN such that no box has the correct label. You may open only one box. Which strategy guarantees determining the correct label of each box?

A Open any one box and draw a single ball; the color you draw is that box’s true label, and the remaining two labels are fixed by elimination because every initial label was wrong. B Open the box labelled RED and BLUE together and compare; the one with more balls is RED. C Open the box labelled GREEN and move its label to the box labelled RED; then swap the remaining two. D Do not open any box; just permute the labels at random until none match their original labels.