Mid Unit Class assessment Unit 1 Squares and Square Roots Name:_______________________ Date:_______________________ Multiple Choice Identify the choice that best completes the statement or answers the question. 2​
2​
2​
2​
____
1. The areas of 4 squares are given: 127 cm​
, 116 cm​
, 121 cm​
, and 131 cm​
. Which area is a perfect square? b. 41 c. 20 d. 9 b. 5 c. 625 d. 156.25 8 d. 13 ____
2. Find a square root of 81. a. 36 ____
2​
3. Find 25​
. a. 25 ____
4. What is the greatest whole number less than √53 ? a. 27 b. 7 c. ____
2​
5. Find the approximate side length of a square with area 27 cm​
. Give your answer to 1 decimal place. a. 13.5 cm b. 6.8 cm Short Answer 2​
2​
6. Find 9​
+ 5​
. 2​ 2​
7. Order from least to greatest: 5​
, 4​
, √289 , 19 c. 5.2 cm d. 3.7 cm 8. Find √1600 9. Is 5 greater than, √32 ? 10. A square patio covers one­quarter of the area of a garden. The garden is 36 m by 36 m. What are the dimensions of the patio? Problem 11. I am a square number less than 400. The sum of my digits is 9. What square numbers might I be? Show your work. 12. Find the number whose square root is 17. Explain your strategy. 13. Between which two consecutive whole numbers does each square root lie? How do you know? Sketch a number line to show your answers. a) √3 b) √65 c) √72 d) √50 14. Use guess and test to estimate √37 to 2 decimal places. Record each trial.
15. Is 5.66 a good estimate of √32 ​
? Justify your answer. 16. If a whole number has an approximate square root of 7.75, is the whole number closer to 49 or 64? How do you know? 17. Rebecca was shopping online she found a square rug with an area of 17 m2. The dimensions of her bedroom are 4 m × 5 m. Will the rug fit in her room? Explain. 18. Use a calculator to determine the square roots below and identify which of the numbers are perfect squares. Record the square of each number beside it below. A. 2525 B) 1681
C) 999