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Unit 4 Basic Worksheet

Geometry & Measurement

Practice angles, area, perimeter, volume, and unit conversions with this comprehensive worksheet.

Question 1: What type of angle is 45 degrees?

Answer: Acute

Steps:

  1. 45° < 90°
  2. Less than 90° = acute angle
  3. Answer: Acute

Question 2: What type of angle is 90 degrees?

Answer: Right

Steps:

  1. Exactly 90°
  2. Forms a square corner
  3. Answer: Right angle

Question 3: What type of angle is 135 degrees?

Answer: Obtuse

Steps:

  1. 90° < 135° < 180°
  2. Greater than 90°, less than 180°
  3. Answer: Obtuse

Question 4: Two angles add up to 90°. One is 30°. Find the other.

Answer: 60°

Steps:

  1. Complementary angles = 90°
  2. 90° - 30° = 60°
  3. Answer: 60°

Question 5: How many degrees in a full circle?

Answer: 360°

Steps:

  1. One complete rotation
  2. 360 degrees
  3. Answer: 360°

Question 6: Area of rectangle: Length 8 cm, Width 5 cm

Answer: 40 cm²

Steps:

  1. Area = L × W
  2. 8 × 5 = 40
  3. Answer: 40 cm²

Question 7: Area of square with 6-inch sides

Answer: 36 in²

Steps:

  1. Area = Side × Side
  2. 6 × 6 = 36
  3. Answer: 36 in²

Question 8: Rectangle area is 24 m², length is 6 m. Find width.

Answer: 4 m

Steps:

  1. Width = Area ÷ Length
  2. 24 ÷ 6 = 4
  3. Answer: 4 m

Question 9: Area of rectangle: 10 ft × 3 ft

Answer: 30 ft²

Steps:

  1. Area = 10 × 3
  2. 30 square feet
  3. Answer: 30 ft²

Question 10: Square has area 49 cm². Find side length.

Answer: 7 cm

Steps:

  1. Side × Side = 49
  2. 7 × 7 = 49
  3. Answer: 7 cm

Question 11: Area of rectangle: 12 m × 4 m

Answer: 48 m²

Steps:

  1. Area = 12 × 4
  2. 48 square meters
  3. Answer: 48 m²

Question 12: Perimeter of rectangle: Length 7 m, Width 4 m

Answer: 22 m

Steps:

  1. Perimeter = 2(L + W)
  2. 2(7 + 4) = 2(11) = 22
  3. Answer: 22 m

Question 13: Perimeter of square with 8-ft sides

Answer: 32 ft

Steps:

  1. Perimeter = 4 × Side
  2. 4 × 8 = 32
  3. Answer: 32 ft

Question 14: Square perimeter is 36 cm. Find side length.

Answer: 9 cm

Steps:

  1. Side = Perimeter ÷ 4
  2. 36 ÷ 4 = 9
  3. Answer: 9 cm

Question 15: Perimeter of rectangle: 10 in × 5 in

Answer: 30 in

Steps:

  1. Perimeter = 2(10 + 5)
  2. 2(15) = 30
  3. Answer: 30 in

Question 16: Rectangle perimeter is 28 m, length is 9 m. Find width.

Answer: 5 m

Steps:

  1. 2(L + W) = 28, so L + W = 14
  2. 14 - 9 = 5
  3. Answer: 5 m

Question 17: Volume of box: 5 cm × 3 cm × 2 cm

Answer: 30 cm³

Steps:

  1. Volume = L × W × H
  2. 5 × 3 × 2 = 30
  3. Answer: 30 cm³

Question 18: Volume of cube with 4-inch edges

Answer: 64 in³

Steps:

  1. Volume = Side³
  2. 4 × 4 × 4 = 64
  3. Answer: 64 in³

Question 19: Volume is 60 m³, base area is 12 m². Find height.

Answer: 5 m

Steps:

  1. Height = Volume ÷ Base Area
  2. 60 ÷ 12 = 5
  3. Answer: 5 m

Question 20: Volume of prism: 10 ft × 4 ft × 2 ft

Answer: 80 ft³

Steps:

  1. Volume = 10 × 4 × 2
  2. 40 × 2 = 80
  3. Answer: 80 ft³

Question 21: Cube volume is 27 cm³. Find edge length.

Answer: 3 cm

Steps:

  1. Side³ = 27
  2. 3 × 3 × 3 = 27
  3. Answer: 3 cm

Question 22: Convert: 24 inches = ? feet

Answer: 2 feet

Steps:

  1. 12 inches = 1 foot
  2. 24 ÷ 12 = 2
  3. Answer: 2 feet

Question 23: Convert: 5 feet = ? inches

Answer: 60 inches

Steps:

  1. 1 foot = 12 inches
  2. 5 × 12 = 60
  3. Answer: 60 inches

Question 24: Convert: 2,000 meters = ? kilometers

Answer: 2 kilometers

Steps:

  1. 1,000 meters = 1 km
  2. 2,000 ÷ 1,000 = 2
  3. Answer: 2 km

Question 25: Convert: 3 pounds = ? ounces

Answer: 48 ounces

Steps:

  1. 1 pound = 16 ounces
  2. 3 × 16 = 48
  3. Answer: 48 ounces

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