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Wallpaper worksheet

Grades 5–6

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

  1. Problem 1.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 14 m
    • Wall height: 2.6 m
    • Width of doors and full-height openings: 2.1 m
    • Roll width: 40 cm
    • Roll length: 9 m
    • Pattern repeat: 34 cm
    • Trimming allowance per strip: 9 cm

    Find: Rolls to buy

  2. Problem 2.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 15 m
    • Wall height: 3 m
    • Width of doors and full-height openings: 1.4 m
    • Roll width: 52 cm
    • Roll length: 8 m
    • Pattern repeat: 54 cm
    • Trimming allowance per strip: 12 cm

    Find: Rolls to buy

  3. Problem 3.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 21 m
    • Wall height: 2.2 m
    • Width of doors and full-height openings: 2.3 m
    • Roll width: 60 cm
    • Roll length: 7.25 m
    • Pattern repeat: 45 cm
    • Trimming allowance per strip: 11 cm

    Find: Rolls to buy

  4. Problem 4.
    • Units: US (feet and inches)
    • Total width of walls to cover: 48 ft
    • Wall height: 8 ft
    • Width of doors and full-height openings: 4 ft
    • Roll width: 18 in
    • Roll length: 30 ft
    • Pattern repeat: 20 in
    • Trimming allowance per strip: 4 in

    Find: Rolls to buy

  5. Problem 5.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 13 m
    • Wall height: 2.2 m
    • Width of doors and full-height openings: 1.6 m
    • Roll width: 65 cm
    • Roll length: 9.5 m
    • Pattern repeat: 45 cm
    • Trimming allowance per strip: 7 cm

    Find: Rolls to buy

  6. Problem 6.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 11 m
    • Wall height: 2.8 m
    • Width of doors and full-height openings: 1.6 m
    • Roll width: 56 cm
    • Roll length: 9.5 m
    • Pattern repeat: 54 cm
    • Trimming allowance per strip: 8 cm

    Find: Rolls to buy

  7. Problem 7.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 13 m
    • Wall height: 2.6 m
    • Width of doors and full-height openings: 1.8 m
    • Roll width: 32 cm
    • Roll length: 8 m
    • Pattern repeat: 45 cm
    • Trimming allowance per strip: 8 cm

    Find: Rolls to buy

  8. Problem 8.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 15 m
    • Wall height: 2.8 m
    • Width of doors and full-height openings: 1.4 m
    • Roll width: 51 cm
    • Roll length: 6.5 m
    • Pattern repeat: 55 cm
    • Trimming allowance per strip: 11 cm

    Find: Rolls to buy

  9. Problem 9.
    • Units: US (feet and inches)
    • Total width of walls to cover: 56 ft
    • Wall height: 6 ft
    • Width of doors and full-height openings: 5 ft
    • Roll width: 26 in
    • Roll length: 32 ft
    • Pattern repeat: 15 in
    • Trimming allowance per strip: 4 in

    Find: Rolls to buy

  10. Problem 10.
    • Units: Metric (meters and cm)
    • Total width of walls to cover: 16 m
    • Wall height: 2 m
    • Width of doors and full-height openings: 1.6 m
    • Roll width: 48 cm
    • Roll length: 8 m
    • Pattern repeat: 40 cm
    • Trimming allowance per strip: 11 cm

    Find: Rolls to buy

Answer key: Wallpaper worksheet

  1. 1. Rolls to buy: 10 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (14−2.1)×100=1,190 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,19040=29.75=30 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.6×100+9=269 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      8 repeats×34=272 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      9×100272=3.308824=3 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      303=10=10 rolls
  2. 2. Rolls to buy: 14 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (15−1.4)×100=1,360 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,36052=26.153846=27 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      3×100+12=312 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×54=324 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      8×100324=2.469136=2 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      272=13.5=14 rolls
  3. 3. Rolls to buy: 16 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (21−2.3)×100=1,870 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,87060=31.166667=32 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.2×100+11=231 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×45=270 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      7.25×100270=2.685185=2 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      322=16=16 rolls
  4. 4. Rolls to buy: 10 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in in)

      (48−4)×12=528 in
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      52818=29.333333=30 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      8×12+4=100 in
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      5 repeats×20=100 in
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      30×12100=3.6=3 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      303=10=10 rolls
  5. 5. Rolls to buy: 6 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (13−1.6)×100=1,140 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,14065=17.538462=18 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.2×100+7=227 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×45=270 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      9.5×100270=3.518519=3 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      183=6=6 rolls
  6. 6. Rolls to buy: 9 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (11−1.6)×100=940 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      94056=16.785714=17 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.8×100+8=288 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×54=324 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      9.5×100324=2.932099=2 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      172=8.5=9 rolls
  7. 7. Rolls to buy: 18 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (13−1.8)×100=1,120 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,12032=35=35 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.6×100+8=268 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×45=270 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      8×100270=2.962963=2 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      352=17.5=18 rolls
  8. 8. Rolls to buy: 27 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (15−1.4)×100=1,360 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,36051=26.666667=27 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2.8×100+11=291 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×55=330 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      6.5×100330=1.969697=1 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      271=27=27 rolls
  9. 9. Rolls to buy: 6 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in in)

      (56−5)×12=612 in
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      61226=23.538462=24 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      6×12+4=76 in
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×15=90 in
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      32×1290=4.266667=4 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      244=6=6 rolls
  10. 10. Rolls to buy: 10 rolls

    1. Take the doors and openings off the wall width, since they get no paper (in cm)

      (16−1.6)×100=1,440 cm
    2. Divide by the roll width to count strips, rounding up because a part strip still needs a full one

      1,44048=30=30 strips
    3. Add the trimming allowance to the wall height, so each strip can be trimmed neatly

      2×100+11=211 cm
    4. Round the strip up to a whole number of pattern repeats so the design lines up

      6 repeats×40=240 cm
    5. Divide the roll length by the cut length, rounding down because a short leftover can't make a strip

      8×100240=3.333333=3 per roll
    6. Divide the strips by strips per roll, rounding up because you can only buy whole rolls

      303=10=10 rolls