N2 / L1 . 2, 3, 9, 10
N2 / L2 . 2, 3, 7, 8, 9
Fractions and Percentages – Classifying Activity
Learning Aim:
The aim of this activity is to be able to identify the different types of
problem you may encounter in a Level 1 or Level 2 Numeracy test.
The two main types of problem for both Fractions and Percentages are
described on the next page.
Contents:

2-way table

18 problem cards
Task:
1. Shuffle the problem cards
2. One member of the group selects a card.
3. Place your card in one of the 4 sections on the 2-way table.
4. Discuss your decision with the other members of the group,
justifying why you have chosen that section.
5. There is no need to solve the problem at this stage.
6. Now the other members of the group take turns to classify all
the problems in the same way.
7. When all members are agreed that the problems have been
correctly classified, take turns to choose a problem and
solve it.
(You may round off some of the prices.)
FRACTION PROBLEMS
TYPE I
TYPE II
• “Find a fractional
part of a quantity”
• “Express one quantity
as a fraction of
another”
• The QUESTION
contains a fraction
Example:
• Find 3/4 of £36
• The ANSWER will be
a fraction
Example:
• Express £27 as a
fraction of £36
PERCENTAGE PROBLEMS
TYPE I
TYPE II
• “Find a percentage
part of a quantity”
• “Express one quantity
as a percentage of
another”
• The QUESTION
contains a
percentage
Example:
• Find 75% of £36
• The ANSWER will be
a percentage
Example:
• Express £27 as a
percentage of £36
1.
12.
Smirnoff Red
1
1 litre
Was £15.99
3
/8
15.
/3
OFF
Save
2
/7
Jim Beam
Bourbon
in the sale
Stella Artois
20 × 284 ml
70 cl
Wrap Blouse
Was £14.99
OFF
9.
Was £15.99
Was £35
Save
1
/4
in the sale
How much do
you save?
11.
How much do
you pay?
2.
18.+
Cyclonic
Cleaner
Was £60
SAVE £10
What fraction
of the original
price do you
save?
14.
K Mules
Was £40
Now only £35
Save £5
Write the
saving as a
fraction of the
original price.
17.
Relyon
King size
mattress
Was £999
Save 30%
How much do
you save?
How much do
you save?
3.
Print camisole
Was £14
(Now only £12)
Save £2
What fraction
of the original
price do you
save?
4.
Recliner chair
SAVE 45%
in the sale
Was £599
What is the
sale price?
What’s the
sale price?
Lace beaded
top
Prices slashed!
Was £35
SAVE £10 !!!
What is the
saving as a
fraction of the
original price?
10.
Sealy
King size
mattress
Was £249
20% OFF
How much do
you pay in the
sale?
Bastille
bedstead
Massive 50%
saving !!!
Was £1399
How much do
you save?
8.
5.
Was £7.49
Save 33%
on
Hardys Crest
Chardonnay –
Sauvignon
Blanc (75 cl)
How much would
you expect to
save?
6.
John Smith’s
Smooth
12 × 440 ml
Was £10.99
20% OFF
What’s the
saving?
13.
Beck’s
20 × 275 ml
Was £14.99
Save £5
Express the
saving as a
percentage of
the original
price
7.
16.
Court shoes
Print Blouse
Was £40
Now only £30
SAVE £10
Save £2
What
percentage of
the original
price do you
save?
Sandals
(Was £20 –
now only £18)
HUGE SAVING
£20 OFF
Was £50
Now only £30
Write the
saving as a
percentage of
the original
price
What
percentage of
the original
price do you
save?
Answers – Fractions and Percentages – Classifying Activity, L1
Type I
Fractions
1.
3
/8 × ~£16 = £6 saving
9. 1/4 × ~£16 = £4 off.
£15.99–£4.00
= £11.99, sale price
12. 1/3 × ~£15 = £5 off.
£14.99-£5.00
= £9.99 to pay
15.
Percentages
2
/7 × £35 = £10 saving
4. 20% of ~£250 = £50 off
£249-£50 = 199 to pay
5. 20% of ~£11 = £2.20 saving
8. 33% of £7.49 is approx.
1
/3 of £7.50
Expect to save £2.50
10. 50% of ~£1400
= £700 saving
14. 30% of ~£1000 = 3×£100
= £300 saving.
17. 45% of ~£600
= £(60+60+60+60+30)
= £270 saving
£599 - £270
= £329 sale price
Type II
2. Saving = £5
Original
£40
=
1
8
3. Saving = £10 = 2
Original
£35
7
11. Saving = £10 =
Original
£60
18. Saving = £2
Original
£14
6.
1
6
= 1
7
£5 × 100% = 1/3 × 100%
~£15
= 331/3 %
7. £2 × 100% = 1/10 × 100% = 10%
£20
13. £10 × 100% = 1/4 × 100% = 25%
£40
16. £20 × 100% = 2/5 × 100% = 40%
£50