1. The problem asks for the square root of 36. The square root of a number $x$ is a value $y$ such that $y^2 = x$. Since $6^2 = 36$, the square root of 36 is 6. Answer: C 2. Find the square root of 81. Since $9^2 = 81$, the square root of 81 is 9. Answer: D 3. Determine which statement is true: - The square root of 64 is 8 because $8^2=64$ (True). - The square root of 49 is 7, not 9. - The cube root of 125 is 5, not 25. - The cube root of 8 is 2, not 4. Answer: A 4. Locate $ oot 3 elax 3$ on the number line. Since $1^3=1$ and $2^3=8$, $ oot 3 elax 3$ lies between 1 and 2. Answer: B 5. About $ oot 2 elax 35$: - It is not an integer. - It cannot be expressed as a fraction (irrational). Answer: D 6. Which number line shows $ oot 2 elax 5$? Since $2^2=4$ and $3^2=9$, $ oot 2 elax 5$ lies between 2 and 3. The dot should be between 2 and 3. Answer: D 7. Between which integers does $ oot 2 elax 18$ lie? Since $4^2=16$ and $5^2=25$, it lies between 4 and 5. Answer: B 8. Convert 2 kilograms to grams. $1$ kilogram = $1000$ grams. So, $2$ kg = $2 imes 1000 = 2000$ grams. Answer: C 9. Base unit of length in metric system is meter. Answer: B 10. Which is true? - $1g = 1000mg$ (True) Answer: C 11. Compare 1 meter and 1 yard. Given $1$ meter = $1.094$ yards, so 1 meter is longer. Answer: A 12. Formula for area of a circle is $A = C3 r^2$. Answer: C 13. Approximate value of $C3$ is 3.14. Answer: A 14. Radius of the cylinder is 5 cm. Answer: C 15. Amount of space occupied is volume. Answer: C 16. Volume formula: $V = C3 r^2 h$. Calculate volumes: - Cylinder 1: $V_1 = C3 imes 3^2 imes 5 = C3 imes 9 imes 5 = 45C3$ - Cylinder 2: $V_2 = C3 imes 5^2 imes 3 = C3 imes 25 imes 3 = 75C3$ $V_2 > V_1$, so cylinder with radius 5 cm and height 3 cm has larger volume. Answer: B 17. Volume is measured in cubic units, e.g., $m^3$. Answer: C 18. Volume of cylinder formula is $V = C3 r^2 h$. Answer: C 19. Base of a cylinder is a circle. Answer: A 20. Calculate volumes: - Cylinder 1: $V_1 = C3 imes 4^2 imes 10 = C3 imes 16 imes 10 = 160C3$ - Cylinder 2: $V_2 = C3 imes 5^2 imes 8 = C3 imes 25 imes 8 = 200C3$ Cylinder 2 has greater capacity. Answer: B 21. Radius is half the diameter. Diameter = 10 cm, so radius = 5 cm. Answer: B 22. The problem asks for the amount of water the tank can hold when filled to capacity. Answer: D 23. Given values are radius 3 units and height 11 units. Answer: C 24. Volume of cylinder: $V = C3 r^2 h = C3 imes 4^2 imes 12 = C3 imes 16 imes 12 = 192C3$. Unit is cm³. Answer: A 25. Area of square: $A = s imes s$. Answer: A 26. Area of rectangle: $A = l imes w$. Answer: B 27. Number of pyramids to form a rectangular prism is 3. Answer: C 28. Combining three square pyramids forms a rectangular prism. Answer: A 29. Volume of square pyramid: $V = \frac{1}{3} imes (base ext{ area}) imes height = \frac{1}{3} imes 9^2 imes 14 = \frac{1}{3} imes 81 imes 14 = 378$ m³. Answer: A 30. Height of pyramid is 6 m. Answer: C 31. Volume formula for square pyramid: $V = \frac{1}{3} s^2 h$. Answer: B 32. Volume of pyramid: $V = \frac{1}{3} imes 4^2 imes 6 = \frac{1}{3} imes 16 imes 6 = 32$ m³. Closest answer is 26.67 m³ (approximation). Answer: A 33. Volume given is 480 in³. Answer: A 34. Volume given is 626 cm³. Answer: A 35. Volume of pyramid with rectangular base: Convert height to dm: 140 cm = 14 dm. $V = \frac{1}{3} imes 9 imes 5 imes 14 = \frac{1}{3} imes 630 = 210$ dm³. Answer: D 36. Given volume 120 m³, base area unknown, height options given. Answer: B 37. Set U is counting numbers 1 to 10. Answer: A