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Practice sheet · Clothing Path · Lens 1: Math

Measure & cut

Practice for The Math of Clothing: units, sizes and ease, fabric, seam allowance, scale, circle skirts, tiling, percentages and cost per wear (pp.8–16), plus A1–A2 (pp.17–18).
Warm-upCoreLevel Up
Name Date Time I spent
Remember

1 inch = 2.54 cm. Ease = garment size − body size. Cut size = finished size + seam allowance on both sides. Fabric is sold in 10 cm steps: round up.

Circle skirt: waist = 2πr, so r = waist ÷ 2π; hem radius = r + length. Discount, then tax: × (1 − rate), then × 1.05 GST in Alberta. Cost per wear = price ÷ wears.

Warm-up

One step

Units, ease and scale.
1

Units

Convert 32 inches to cm, and 100 cm to inches.

2

Ease

A chest measures 92 cm. A loose shirt adds 12 cm of ease. What finished chest size do you need?

3

Seam allowance

A pocket finishes at 20 cm by 25 cm. With 1.5 cm seam allowance on every edge, what size do you cut?

4

Scale

A pattern drawing is at 1 : 5. A line is 9 cm on the drawing. How long is it full size?

Core

Two or three steps

Draw the piece and label it.
5

Buy fabric

A project needs 145 cm of fabric. It is sold in 10 cm steps at $13.50 a metre. How much do you buy, and what does it cost?

6

Circle skirt

Waist 70 cm, skirt length 45 cm. Find the waist radius, the hem radius and the hem length.

Clothing Practice · Clothing Path · Unizon1/2
Clothing Path · Unizon · PracticeMeasurement, circles & percent
7

Quilt

A quilt uses 30 cm square blocks, 5 across and 6 down. How big is it, and how many blocks?

8

Fibres

A 300 g hoodie is 80% cotton and 20% polyester. How many grams of each?

9

Sale

A $64 jacket is 35% off. What is the sale price? With 5% GST?

10

Cost per wear

A $150 coat is worn 300 times; a $60 coat lasts 100 wears. Which costs less per wear?

Level Up

Equations

A1–A2 (pp.17–18).
11

Solve for metres

Fabric costs $15 a metre plus $6 for thread and buttons. Solve 15m + 6 = 36.

12

Two shops

Shop A: $11 a metre plus $12 shipping. Shop B: $15 a metre plus $4. When do they cost the same, and how much?

13

Shrinkage

A 25 cm test square shrinks to 23.5 cm when washed. What percent did it shrink? To finish at 40 cm, what length should you cut?

14

Banner

A banner is 4 dm longer than it is wide, with an area of 45 dm². Solve w(w + 4) = 45.

Make your own problem

Your turn to be the fashion designer

  1. Pick a piece of clothing you’d like to make or fix.
  2. Write a question about its measurements, fabric, cost or a pattern’s scale.
  3. Solve it, and add seam allowance and a little extra fabric.

My problem, and my worked answer:

Clothing Practice · Clothing Path · Unizon2/2
Clothing Path · Unizon · PracticeMeasurement, circles & percent

Try every problem first, then check here. Wrong answers are useful: find the step where your work and the key split apart.

The key never prints with Print my work or Print blank. Open it to get its own Print the answer key button.

Answer key

Worked solutions. Prices are made-up examples.

Warm-up
1
≈ 81.3 cm · ≈ 39.4 in 32 × 2.54 = 81.28. 100 ÷ 2.54 ≈ 39.37.
2
104 cm 92 + 12 = 104.
3
23 cm × 28 cm Add 1.5 on both sides: + 3 cm each way.
4
45 cm 9 × 5 = 45.
Core
5
1.5 m · $20.25 Round 145 cm up to 150 cm. 1.5 × 13.50 = 20.25.
6
r ≈ 11.1 cm · ≈ 56.1 cm · ≈ 353 cm r = 70 ÷ 2π ≈ 11.14. 11.14 + 45 ≈ 56.1. 2π × 56.14 ≈ 353 cm of hem.
7
150 cm × 180 cm · 30 blocks 5 × 30 = 150; 6 × 30 = 180; 5 × 6 = 30 (plus seam allowances when cutting).
8
240 g · 60 g 0.80 × 300 = 240; 0.20 × 300 = 60.
9
$41.60 · $43.68 64 × 0.65 = 41.60; 41.60 × 1.05 = 43.68.
10
$0.50 · $0.60 · the $150 coat 150 ÷ 300 = 0.50; 60 ÷ 100 = 0.60.
Level Up
11
2 m 15m = 30 → m = 2.
12
2 m · $34 11m + 12 = 15m + 4 → 8 = 4m → m = 2. 22 + 12 = 34. Shop A is cheaper for more than 2 m.
13
6% · ≈ 42.6 cm 1.5 ÷ 25 = 0.06. After washing you keep 94%: 40 ÷ 0.94 ≈ 42.6 cm.
14
5 dm × 9 dm w² + 4w − 45 = 0 → (w + 9)(w − 5) = 0 → w = 5.
Make your own: measure twice, add allowance and ease, round fabric up and label cm and m on every line.
Clothing Practice · Clothing Path · UnizonAnswer key