Nice & Easy
The "Haircuts" section of the Pie Chart is 90 degrees
There are 48 customers in total
How many customers had Haircuts?
1° = 48 ÷ 360 = 0.1333
Haircuts = 90 × 0.1333 = 12 customers
The "Colour" section of a table has 10 customers
There are 48 customers in total
What angle should be used for Colour?
1 customer = 360 ÷ 48 = 7.5°
10 customers = 10 × 7.5 = 75⁰
Increase £50 by 10%
10% of £50 = £5 → £50 + £5 = £55
What is the area of a rectangle that measure 6cm by 4cm
24cm²
The Pie Chart shows:
Haircuts: 90°
Nails: 135°
Colour: 75°
Facials: 60°
There were 48 customers in total.
How many more customers had Nails than Facials?
1° = 48 ÷ 360 = 0.1333
Nails = 135 × 0.1333 = 18 customers
Facials = 60 × 0.1333 = 8 customers
18 - 8 = 10 more customers had Nails than Facials
The "Facials" section of the Pie Chart is 60°
There are 72 customers in total
How many customers had Facials?
360° = 72 customers
1° = 72 ÷ 360 = 0.2 customers per degree
60° × 0.2 = 12 customers
A frequency table shows Colour treatments = 15 customers
There are 60 customers in total
What angle should be used for Colour?
360° ÷ total customers →
360 ÷ 60 = 6° per customer
15 customers × 6° per customer →
15 × 6 = 90°
Decrease £80 by 15%
15% = 15 ÷ 100 = 0.15
£80 × 0.15 = £12
£80 - £12 = £68
72° is what percentage of circle?
Divide the angle by 360°
→ 72 ÷ 360 = 0.2
0.2 × 100 = 20%
A rectangle is 8cm long and 6cm wide.
It is enlarged by a scale factor of 1.5.
What is the area of the enlarged rectangle?
Original area = 8 × 6 = 48cm²
New length = 8 × 1.5 = 12cm
New width = 6 × 1.5 = 9cm
New area = 12 × 9 = 108cm²
The "Nail Treatments" section of a Pie Chart is 135°
There are 96 customers in total
How many customers had Nail treatments?
1° = 96 ÷ 360
1° = 0.2666... customers per degree
135° × 0.2666... = 36 customers
A frequency table shows:
Facials 9 customers
Total customers = 54
What angle should be used for Facials?
360° ÷ 54 = 6.67° per customer
9 × 6.67° = 60°
135° represents 18 customers
How many customers were there in total?
18 customers ÷ 135° = 0.1333 customers per degree
360° × 0.1333 = 48 customers
Simplify the ratio 18:24
Divide each by 6
3:4
135° represents 18 customers.
How many customers were there in total?
135° = 18 customers → 1° = 18 ÷ 135 = 0.1333 customers
360° → 360 × 0.1333 = 48 customers in total.
In a Pie Chart of 60 customers, the "Hair Colour" section is 150°
How many customers had Hair Colour?
360° represents 60 customers →
1 customer = 360° ÷ 60 = 6°
150° ÷ 6° = 25 customers
In a survey of 80 salon customers
30 customers said they had Hair Treatments
What angle should be used for Hair Treatments on the Pie Chart?
360° ÷ 80 customers = 4.5° per customer
30 customers × 4.5° = 135°
108° represents 12 customers
How many customers were there in total?
12 customers ÷ 108° = 0.1111 customers per degree
360° × 0.1111 = 40 customers
Share £300 in the ratio 3:2
How much does each person get?
Add the parts of the ratio
3 + 2 = 5 parts
£300 ÷ 5 = £60 per part
First person (3 parts):
3 × £60 = £180
Second person (2 parts):
2 × £60 = £120
Share £360 between 3 friends in the ratio 5:3:4.
Total parts = 5+3+4 = 12 parts
1 part = £360 ÷ 12 = £30
Friend 1: 5 × £30 = £150
Friend 2: 3 × £30 = £90
Friend 3: 4 × £30 = £120
A Pie Chart shows treatments in a Salon.
Haircuts = 120°
Nails = 90°
Colour = 75°
Facials = 75°
In total, 72 customers visited the Salon.
How many customers had Haircuts AND Nails combined?
1° = 72 ÷ 360 = 0.2 customers per degree
Haircuts: 120° × 0.2 = 24 customers
Nails: 90° × 0.2 = 18 customers
Combined = 24 + 18 = 42 customers
60 customers were asked what service they had:
Haircuts: 25 customers
Nails: 20 customers
Facials: 15 customers
Work out the angle for each service
Total = 25 + 20 + 15 = 60 customers
1 customer = 360 ÷ 60 = 6° per customer
Haircuts: 25 × 6 = 150°
Nails: 20 × 6 = 120°
Facials: 15 × 6 = 90°
In a Pie Chart, 150° represents 25 customers.
How many customers are there in total?
150° → 25 customers
1° = 25 ÷ 150 = 0.1667 customers per degree
360° → 360 × 0.1667 = 60 customers in total
A customer buys shampoo and conditioner:
Shampoo: £7.50
Conditioner: £9.00
There is a 25% off sale on both items.
What is the total price the customer will pay?
Shampoo discount = £7.50 × 25% = £1.875 → £7.50 - £1.875 = £5.625
Conditioner discount = £9.00 × 25% = £2.25 → £9.00 - £2.25 = £6.75
Total = £5.625 + £6.75 = £12.375 → £12.38 (rounded to 2 dp)
A rectangular treatment room is 5m long and 4m wide.
A new tiled floor will cost £15 per square metre.
How much will the new floor cost in total?
Area = 5 × 4 = 20m²
Cost = 20 × £15 = £300