Dŵr y Felin Cluster
Numeracy Intervention
Percentages – Weekly Homework
Name ……………………….
This booklet must be completed at home to support the
numeracy sessions that you are having during registration.
There are four worksheets that you must complete over the next
four weeks.
The booklet is based on finding a percentage of an amount. This
work will help you in the numeracy test that you will be sitting in
May.
The answers to each worksheet are at the back of the booklet.
AFTER you have attempted each question you can mark your
answers yourself.
If you find the questions difficult there are a few things that you
can do –
1.
2.
3.
4.
Look at the examples at the top of each worksheet.
Ask someone at home for help.
Ask your year 10 buddies for help.
Ask your maths teacher for help.
Good luck!!
Week 1
Finding a percentage
To find 10% of any amount we divide
by 10. We remove one 0 from the
number
Examples
1.
10% of 90
= 90
10
= 9
2.
10% of 385 = 385
10
= 38.5
3.
A family size packet of crisps holds 200g. Tim buys a packet with 10% extra
free in it. What is the weight of the special edition packet of crisps?
If there is not a 0 to remove, we move
the decimal point one place to the left.
10% of 200g = 200 = 20
10
Special edition packet
= 200 + 20 = 220g
Find 10% by dividing by 10.
To find out the weight of the
new packet, we add the
original amount and 10%
Exercise - Section A
1.
10% of 30 =
2.
10% of 70m =
3.
10% of £120 =
4.
10% of 340mm =
5.
10% of 170cm =
6.
10% of 345m =
7.
10% of 246g =
8.
10% of 79m =
9.
10% of 657Kg =
10.
10% of 1000m =
Section B
11. Lowri saved 10% on a jumper in a sale. The jumper originally cost £110. How much
did Lowri pay for the jumper in the sale?
12. By revising, Sam increased his numeracy test results by 10%. If his original mark was
20, how much did he score after the increase?
13. Gareth’s football team scored 40 goals last season. The coach wants the team to
increase their score by 10% next season. How many goals will the team need to score
to please the coach?
14. A bottle of coke holds 525ml. A special edition can holds 10% more coke. How much
is in the special edition can of coke?
15. A bus to Cardiff costs £375. Mr Jones negotiates a discount of 10% with the company.
He much would the bus cost with the discount?
Marks
Section A
/ 10
Section B
/5
Week 2
Finding a percentage (20%,30% etc)
Examples
Find 10% by dividing by 10.
Find 40% by multiplying the 10%
answer by 4.
1.
40% of 90
10% = 90 = 9
10
40% = 9 x 4
= 36
2.
70% of 276m
10% = 276 = 27.6
10
70% = 27.6 x 7
= 193.2m
3.
Evan bought a new bike. The bike was priced at £440 less a 20% discount.
How much did evan pay for his bike?
10% of £440 = £44
20% = 44 x 2 = £88
Find 10% then 20%.
Sale Price
= 440 – 88
To find the sale price you need to subtract
= £352
Find 10%, then find 70% by multiplying
the 10% answer by 7.
27.6
x 7
193.2
the discount from the original price
Exercise - Section A
1.
60% of 20 =
2.
20% of £170 =
3.
30% of 310cm =
4.
60% of 826g =
5.
80% of 995Kg =
Section B
6.
Sue saved 20% on a jumper in a sale. The jumper originally cost £20. How much did
Sue pay for the jumper in the sale?
7.
By revising, Sam increased his numeracy test results by 40%. If his original mark was
90, how much did he score after the increase?
8.
Gareth’s football team scored 40 goals last season. The coach wants the team to
increase their score by 30% next season. How many goals will the team need to score
to please the coach?
9.
A can of coke holds 330ml. A special edition can holds 50% more coke. How much is
in the special edition can of coke?
10. A television that was originally on sale for £795 was reduced by 20% in a sale. How
much did David pay for the television with the discount taken off?
Marks
Section A
/5
Section B
/5
Week 3
Finding a percentage (15%,25% etc)
Examples
1.
2.
15% of 30
10% = 30 = 3
10
5% = 3 = 1.5
2
15% = 3 + 1.5
= 4.5
35% of 346m
10% = 346 = 34.6
10
5% = 34.6 = 17.3
2
30% = 34.6 x 3
= 103.8m
35% = 103.8 + 17.3
= 121.1m
Exercise - Section A
1.
15% of 60 =
2.
15% of £244 =
3.
35% of 240cm =
4.
65% of 576g =
5.
85% of 84Kg =
Find 10% by dividing by 10.
Find 5% by dividing the 10% answer by 2.
Find 15% by adding 10% and 5%
answers.
Find 10% by dividing by 10.
Find 5% by dividing the 10% answer by
2.
Find 30% by multiplying the 10%
answer by 3.
Add the 30% and 5% answers to find
35%
Section B
6.
Sue saved 15% on a jumper in a sale. The jumper originally cost £80. How much did
Sue pay for the jumper in the sale?
7.
By revising, Steffan increased his numeracy test results by 35%. If his original mark
was 120, how much did he score after the increase?
8.
Gareth’s football team scored 40 goals last season. The coach wants the team to
increase their score by 35% next season. How many goals will the team need to score
to please the coach?
9.
A can of coke holds 330ml. A special edition can holds 25% more coke. How much is
in the special edition can of coke?
10. A television that was originally on sale for £620 was reduced by 35% in a sale. How
much did David pay for the television with the discount taken off?
Marks
Section A
/5
Section B
/5
Week 4
Finding a percentage (1%,2% etc)
Examples
1.
1% of 100
10% = 100 = 10
10
1% = 10
10
= 1
2.
6% of 234m
10% = 234 = 23.4
10
1% = 23.4 = 2.34
10
6% = 2.34 x 6
= 14.04m
Exercise - Section A
1.
1% of 30 =
2.
1% of £214 =
3.
3% of 510cm =
4.
6% of 324g =
5.
8% of 894Kg =
Find 10% by dividing by 10.
Find 1% by dividing the 10% answer by
10.
Find 10% by dividing by 10.
Find 1% by dividing the 10% answer by
10.
Find 7% by multiplying the 1% answer
by 7.
Section B
6.
Nia increased the time of her relay lap by 9%. If her original time was 145 seconds,
what was her improved time?
7.
The number of pupils entering year 7 in 2013 increased by 8% on 2012. If 200 pupils
entered year 7 in 2012, how many pupils entered year 7 in 2013?
8.
Louise’s hockey team scored 300 goals in one year. The coach wants the team to
improve their performance by at least 7% next year. How many goals will they have to
score next year to satisfy the coach?
9.
A pair of trousers were on sale £35. Sam wanted to buy the trousers but there was a
mark on them. The shop keeper offered a 5% discount. How much did Sam pay for
the trousers assuming that he had the discount?
10. A television that was originally on sale for £620 was reduced by 6% in a sale. How
much did David pay for the television with the discount taken off?
Marks
Section A
/5
Section B
/5
Answers.
Remember –
You must attempt the questions yourself before you mark your work.
Ask for help if you are unsure.
Week 1 – Finding a percentage.
1)
3
2)
7m
3)
£12
4)
34mm
5)
17cm
6)
34.5m
7)
24.6g
8)
7.9m
9)
65.7Kg
10)
100m
11)
Sale Price = £99
12)
New score = 22
13)
Goals = 44
14)
Amount of coke = 577.5ml
15)
Discounted price = £337.50
Week 2 – Finding a percentage (20%, 30% etc)
1)
12
2)
£34
3)
93cm
4)
5)
796Kg
6)
Sale Price = £16
7)
New score = 126
8)
Goals = 52
9)
Amount of coke = 495ml
10)
Discounted price = £636
495.6g
Week 3 – Finding a percentage (15%, 25% etc)
1)
9
2)
£36.60
3)
84cm
5)
71.4Kg
6)
Sale Price = £68
7)
New score = 162
8)
Goals = 54
9)
Amount of coke = 412.5ml
10)
Discounted price = £403
4)
374.4
4)
19.44
Week 4 – Finding a percentage (1%, 2% etc)
1)
0.3
2)
£2.14
3)
15.3cm
5)
71.52Kg
6)
New time = 158.05s
7)
216 pupils
8)
Goals = 321
9)
Discounted price = £33.25
10)
Discounted price = £582.80
PERCENTAGES CHALLENGE RECORD SHEET
Date
Section A Section B Total
Total
TWO STARS AND A WISH!
Now you have completed your work give yourself “2 stars and a wish”:
two things that you think you did really well and one thing that you
would like to improve on.