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Christmas Tree Size worksheet

Grades 5–6 · CCSS 5.MD.A.1

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Ceiling height: 8 ft
- Height the stand adds: 4 in
- Tree topper height: 12 in
- Space to leave above the topper: 3 in
- Width of the spot for the tree: 5 ft
- Tree shape: Slim
Find: Tallest tree to buy
Answer
2.
Problem 2.
- Ceiling height: 7 ft
- Height the stand adds: 4 in
- Tree topper height: 11 in
- Space to leave above the topper: 5 in
- Width of the spot for the tree: 5 ft
- Tree shape: Full
Find: Tallest tree to buy
Answer
3.
Problem 3.
- Ceiling height: 8 ft
- Height the stand adds: 4 in
- Tree topper height: 12 in
- Space to leave above the topper: 6 in
- Width of the spot for the tree: 9 ft
- Tree shape: Full
Find: Tallest tree to buy
Answer
4.
Problem 4.
- Ceiling height: 10 ft
- Height the stand adds: 4 in
- Tree topper height: 12 in
- Space to leave above the topper: 3 in
- Width of the spot for the tree: 6 ft
- Tree shape: Full
Find: Tallest tree to buy
Answer
5.
Problem 5.
- Ceiling height: 7 ft
- Height the stand adds: 4 in
- Tree topper height: 8 in
- Space to leave above the topper: 3 in
- Width of the spot for the tree: 5 ft
- Tree shape: Pencil
Find: Tallest tree to buy
Answer
6.
Problem 6.
- Ceiling height: 10 ft
- Height the stand adds: 2 in
- Tree topper height: 12 in
- Space to leave above the topper: 5 in
- Width of the spot for the tree: 4 ft
- Tree shape: Pencil
Find: Tallest tree to buy
Answer
7.
Problem 7.
- Ceiling height: 8 ft
- Height the stand adds: 5 in
- Tree topper height: 8 in
- Space to leave above the topper: 5 in
- Width of the spot for the tree: 5 ft
- Tree shape: Slim
Find: Tallest tree to buy
Answer
8.
Problem 8.
- Ceiling height: 7 ft
- Height the stand adds: 4 in
- Tree topper height: 10 in
- Space to leave above the topper: 3 in
- Width of the spot for the tree: 5 ft
- Tree shape: Full
Find: Tallest tree to buy
Answer
9.
Problem 9.
- Ceiling height: 8 ft
- Height the stand adds: 5 in
- Tree topper height: 8 in
- Space to leave above the topper: 4 in
- Width of the spot for the tree: 6 ft
- Tree shape: Slim
Find: Tallest tree to buy
Answer
10.
Problem 10.
- Ceiling height: 7 ft
- Height the stand adds: 3 in
- Tree topper height: 11 in
- Space to leave above the topper: 4 in
- Width of the spot for the tree: 5 ft
- Tree shape: Full
Find: Tallest tree to buy
Answer

Answer key: Christmas Tree Size worksheet

1. Tallest tree to buy: 6 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $8 ft \times 12$ $= 96 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $96 - 4 - 12 - 3$ $= 77 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A slim tree is about 45% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.45}$ $= 106.67 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{77 in}{12}$ $= 6.4167 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $6.4167 ft$ $= round down → 6 ft$
2. Tallest tree to buy: 5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $7 ft \times 12$ $= 84 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $84 - 4 - 11 - 5$ $= 64 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A full tree is about 65% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.65}$ $= 73.85 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{64 in}{12}$ $= 5.3333 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $5.3333 ft$ $= round down → 5 ft$
3. Tallest tree to buy: 6 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $8 ft \times 12$ $= 96 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $96 - 4 - 12 - 6$ $= 74 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $108 - 2 \times 6$ $= 96 in$
4. A full tree is about 65% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{96 in}{0.65}$ $= 147.69 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{74 in}{12}$ $= 6.1667 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $6.1667 ft$ $= round down → 6 ft$
4. Tallest tree to buy: 7.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $10 ft \times 12$ $= 120 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $120 - 4 - 12 - 3$ $= 101 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $72 - 2 \times 6$ $= 60 in$
4. A full tree is about 65% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{60 in}{0.65}$ $= 92.31 in$
5. The width is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{92.31 in}{12}$ $= 7.6923 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $7.6923 ft$ $= round down → 7.5 ft$
5. Tallest tree to buy: 5.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $7 ft \times 12$ $= 84 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $84 - 4 - 8 - 3$ $= 69 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A pencil tree is about 30% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.3}$ $= 160 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{69 in}{12}$ $= 5.75 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $5.75 ft$ $= round down → 5.5 ft$
6. Tallest tree to buy: 8 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $10 ft \times 12$ $= 120 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $120 - 2 - 12 - 5$ $= 101 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $48 - 2 \times 6$ $= 36 in$
4. A pencil tree is about 30% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{36 in}{0.3}$ $= 120 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{101 in}{12}$ $= 8.4167 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $8.4167 ft$ $= round down → 8 ft$
7. Tallest tree to buy: 6.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $8 ft \times 12$ $= 96 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $96 - 5 - 8 - 5$ $= 78 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A slim tree is about 45% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.45}$ $= 106.67 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{78 in}{12}$ $= 6.5 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $6.5 ft$ $= round down → 6.5 ft$
8. Tallest tree to buy: 5.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $7 ft \times 12$ $= 84 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $84 - 4 - 10 - 3$ $= 67 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A full tree is about 65% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.65}$ $= 73.85 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{67 in}{12}$ $= 5.5833 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $5.5833 ft$ $= round down → 5.5 ft$
9. Tallest tree to buy: 6.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $8 ft \times 12$ $= 96 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $96 - 5 - 8 - 4$ $= 79 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $72 - 2 \times 6$ $= 60 in$
4. A slim tree is about 45% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{60 in}{0.45}$ $= 133.33 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{79 in}{12}$ $= 6.5833 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $6.5833 ft$ $= round down → 6.5 ft$
10. Tallest tree to buy: 5.5 ft
1. Change the ceiling height to inches, so it matches the other measurements
  $7 ft \times 12$ $= 84 in$
2. Take away the stand, the topper and the gap above it. What's left is the room for the tree itself
  $84 - 3 - 11 - 4$ $= 66 in$
3. For width, leave 6 inches on each side so branches stay clear of walls and furniture
  $60 - 2 \times 6$ $= 48 in$
4. A full tree is about 65% as wide as it is tall. So find the tallest one that still fits the width
  $\frac{48 in}{0.65}$ $= 73.85 in$
5. The ceiling is the tighter limit, so it sets the tallest tree. Change inches to feet
  $\frac{66 in}{12}$ $= 5.5 ft$
6. Trees are sold in half-foot sizes, so round down to the nearest half foot
  $5.5 ft$ $= round down → 5.5 ft$