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Square Root

Grade

10

Term

1

  1. What is the inverse operation of squaring a number?

  2. Identify the first five positive integers that are perfect squares.

  3. The square root of a number lies between 4 and 5. What are the two consecutive perfect squares that this number lies between?

  4. Find the first approximation of 20​ by identifying the two closest perfect squares and testing the decimal values.

  5. Explain why 4.1 is the first approximation of 17​.

  6. Using the division method, find the value of 676​.

  7. Using the division method, calculate the value of 8​ accurate to one decimal place.

  8. Calculate 3.61​ using the division method.

  9. Find the value of 2737​ accurate to two decimal places.

  10. Calculate 0.0064​.

  11. The area of a square-shaped plot of land is 1225 cm². What is the length of one of its sides?

  12. The surface area of a cube is 1350 cm². What is the length of one of its sides?

  13. A square courtyard is completely covered by 324 square-shaped tiles, each with an area of 900 cm². Find the length of a side of the courtyard in metres.

  14. The area of a square is equal to the area of a rectangle with a length of 27 cm and a breadth of 12 cm. Find the length of a side of the square.

  15. An isosceles right-angled triangle has a hypotenuse of 12 cm. Find the length of one of the other sides, correct to two decimal places.

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