1. PPE 1 Mathematics Revision Tasks Year 11 PPE1 Revision Schedule
PPE1 Revision Task 1 – w/b Monday 8th October: Mat 1a
PPE1 Revision Task 2 – w/b Monday 15th October: Mat 2a
PPE1 Revision Task 3 – w/b Monday 22nd October: Mat 3a
PPE1 Revision Task 4 – w/b Monday 29th October: Mat 4a
PPE1 Revision Task 5 – w/b Monday 5th November: Mat 5a
PPE1 Revision Task 6 – w/b Monday 12th November : Linked maths questions
PPE1 – w/b Monday 19th November
Name:
Maths teacher:
Target Grade:

2. [Grade 3 – Non Calculator]
Name:
Date:
Mat #1a
1.) If 45 grams of butter is needed to make 9 cakes, how much butter is needed to make 21 cakes?
[Grade 3 – Non Calculator]
2.) At the start of January, the reading on Bob’s electricity meter is At the end of March it is If electricity cost 12p per unit, what is Bob’s bill?
3.) Work out writing your answer as a mixed number:
4.) Work out
2 5 − 1 7
5.) Work out writing your answer as a mixed number:
1 3 5 ×2 3 8
[Grade 4 – Non Calculator]
6.) Work out writing the answer as a mix number:
3 3 4 ÷2 4 7
7.) Write 135 as a product of its prime factors.
8.) What is the volume of a cylinder with radius of 3cm and height of 5cm?
[Grade 5 – Calculator]
9.) Expand and simplify:
3x(2x – 4) + 4x(5x – 3)

3. [Grade 3 – Non Calculator]
Name:
Date:
Mat #2a
1.) Consider this small data set: 5, 12, 11, 1, 13 and 4. i.) What is the median? ii.) What is the range?
[Grade 3 – Non Calculator]
2.) At the start of March, the reading on Sid’s electricity meter is At the end of May it is If electricity cost 8p per unit, what is Sid’s bill?
3.) Calculate the area of the trapezium:
[Grade 4 – Non Calculator]
4.) Calculate the area of a circle with a radius of 5cm.
[Grade 4– Calculator]
5.) Work out writing your answer as a mixed number:
6.) Work out writing your answer as a mixed number:
3 1 4 ÷2 3 5
7.) Write 95 as a product of its prime factors.
8.) Write in standard form.
[Grade 5 - Calculator]
9.) Expand and simplify:
(4x – 3)2
[Grade 5 – Non Calculator]

4. [Grade 3 – Non Calculator]
Name:
Date:
Mat #3a
1.) Consider this small data set: 6, 10, 11, 1, 2 and 6. i.) What is the mean? ii.) What is the mode?
[Grade 3 – Non Calculator]
2.) At the start of March, the reading on Bud’s electricity meter is At the end of May it is If electricity cost 7p per unit, what is Bud’s bill?
3.) What is the nth term of this number pattern?
10, 13, 16, 19, 22 …
4.) Calculate the area of a circle with a diameter of 6cm.
5.) Share £240 in the ratio 3:2:1
[Grade 4 – Non Calculator]
6.) Write 105 as a product of its prime factors.
7.) Factorise fully 4x2y + 8xy2
8.) Write in standard form.
[Grade 5 – Non Calculator]
9.) Solve the equation
5(x + 4) = 10(2x – 1)

5. 1.) Express 8 out of 12 as a fraction in its simplest form.
Name:
Date:
Mat #4a
1.) Express 8 out of 12 as a fraction in its simplest form.
[GCSE 3 – Non Calculator]
2.) Write 3 out of 10 as a percentage.
3.) Calculate
4.) What is the size of i.) the external angle and ii.) the internal angle of a regular hexagon?
[GCSE 4 – Non Calculator]
5.) If I travel 100 miles in 3 hours, what is my speed?
6.) Draw a stem and leaf diagram for the small data set below (remember the key!)
14, 9, 13, 29, 21, 12, 8, 17, 15, 20
7.) What is the nth term of the pattern below?
3, 8, 13, 18, 23, 28, …
[GCSE 5 – Non Calculator]
8.) Expand and simplify the expression below
3(2x – 5) + 4(3x – 2)
9.) Solve the equation
5(2x + 1) = 12x – 5

6. 1.) Consider the small data set below: 10, 2, 6, 6 and 1. Calculate:
Name:
Date:
Mat #5a
1.) Consider the small data set below: , 2, 6, 6 and 1.
Calculate:
i.) mean
ii.) median
iii.) mode
iv.) range
[Grade 3 – Non Calculator]
2.) Design a question for a questionnaire to find the favourite drinks of girls in year 10.
3.) Design a data collection sheet to record the favourite drinks of girls in year 10.
4.) If you roll a fair die 120 times, what is the expected number of 5s that you will roll?
5.) Calculate the mean from the frequency table below:
[Grade 4 – Non Calculator]
6.) Sketch a scatter diagram with positive correlation.
7.) Display the data set below in a stem and leaf diagram (remember the key!)
18, 12, 19, 22, 8, 9, 3, 2, 4, 23
8.) Calculate the circumference of a circle with a radius of 5cm.
[Grade 4 – Calculator]
9.) Express 115 as a product of its prime factors.
[Grade 4– Non Calculator] x f 1 2 3 5

7. Name:
Date:
Long examination question
Grade 4/5: Calculator : Foundation and Higher
Grade 5/6: Higher Only

8. [Grade E – Non Calculator]
Name:
Date:
Mat #1a (Solutions)
1.) If 45 grams of butter is needed to make 9 cakes, how much butter is needed to make 21 cakes?
45 grams ÷ 3 = 15 grams is needed to make 3 cakes, so 15 grams x 7 = 105 grams will be needed to make 21 cakes.
[Grade E – Non Calculator]
2.) At the start of January, the reading on Bob’s electricity meter is At the end of March it is If electricity cost 12p per unit, what is Bob’s bill?
5119 – 4263 = 856 units
856 x 12p = 10272p = £102.72
3.) Work out writing your answer as a mixed number:
= 𝟖 𝟏𝟐 + 𝟗 𝟏𝟐 = 𝟏𝟕 𝟏𝟐 =𝟏 𝟓 𝟏𝟐
[Grade D – Non Calculator]
4.) Work out
2 5 − 1 7 = 𝟏𝟒 𝟑𝟓 − 𝟓 𝟑𝟓 = 𝟗 𝟑𝟓
5.) Work out writing your answer as a mixed number:
1 3 5 × = 𝟖 𝟓 × 𝟏𝟗 𝟖 = 𝟏𝟓𝟐 𝟒𝟎 =𝟑 𝟒 𝟓
6.) Work out writing the answer as a mix number:
3 3 4 ÷ = 𝟏𝟓 𝟒 ÷ 𝟏𝟖 𝟕 = 𝟏𝟓 𝟒 × 𝟕 𝟏𝟖 = 𝟏𝟎𝟓 𝟕𝟐 =𝟏 𝟏𝟏 𝟐𝟒
7.) Write 135 as a product of its prime factors.
135 = 3 x 3 x 3 x 5
[Grade C – Non Calculator]
8.) What is the volume of a cylinder with radius of 3cm and height of 5cm?
V = π x 3 x 3 x 5 = cm3 (1dp)
[Grade C – Calculator]
9.) Expand and simplify:
3x(2x – 4) + 4x(5x – 3)
= 6x2 – 12x + 20x2 – 12x
= 26x2 – 24x
[Grade C – Non Calculator

9. Median: order is 1, 4, 5, 11, 12, 13 then (5+11)/2 = 8
Name:
Date:
Mat #2a (Solutions)
1.) Consider this small data set: 5, 12, 11, 1, 13 and 4. i.) What is the median? ii.) What is the range?
Median: order is 1, 4, 5, 11, 12, 13 then (5+11)/2 = 8
Range = 13 – 1 = 12
[Grade E – Non Calculator]
2.) At the start of March, the reading on Sid’s electricity meter is At the end of May it is If electricity cost 8p per unit, what is Sid’s bill?
7234 – 4119 = 3115
3115 x 8p = 24920p = £249.20
3.) Calculate the area of the trapezium:
Area = ½ x (8 + 12) x 6 = 60cm2
[Grade D – Non Calculator]
4.) Calculate the area of a circle with a radius of 5cm.
Area = π x 52 = π x 5 x 5 = 78.5cm2 (1dp)
[Grade D – Calculator]
5.) Work out writing your answer as a mixed number:
= 𝟑+ 𝟒 𝟐𝟎 + 𝟓 𝟐𝟎 =𝟑 𝟗 𝟐𝟎
6.) Work out writing your answer as a mixed number:
3 1 4 ÷ = 𝟏𝟑 𝟒 ÷ 𝟏𝟑 𝟓 = 𝟏𝟑 𝟒 × 𝟓 𝟏𝟑 = 𝟓 𝟒 =𝟏 𝟏 𝟒
7.) Write 95 as a product of its prime factors.
95 = 5 x 19
[Grade C – Non Calculator]
8.) Write in standard form.
= 6 x
= 6 x 105
[Grade C - Calculator]
9.) Expand and simplify:
(4x – 3)2
(4x – 3)(4x – 3)
16x2 – 12x – 12x + 9
16x2 – 24x + 9

10. [Grade E – Non Calculator]
Name:
Date:
Mat #3a (Solutions)
1.) Consider this small data set: 6, 10, 11, 1, 2 and 6. i.) What is the mean? ii.) What is the mode?
mean = ( )/6 = 6
mode = 6
[Grade E – Non Calculator]
2.) At the start of March, the reading on Bud’s electricity meter is At the end of May it is If electricity cost 7p per unit, what is Bud’s bill?
6004 – 2128 = 3876
3876 x 7p = 27132p = £271.32
3.) What is the nth term of this number pattern?
10, 13, 16, 19, 22 …
nth term = 3n + 7
[Grade D – Non Calculator]
4.) Calculate the area of a circle with a diameter of 6cm.
Area = π x 32 = π x 3 x 3 = 28.3cm2 (1dp)
[Grade D – Calculator]
5.) Share £240 in the ratio 3:2:1
= 6
£240 / 6 = £40
£120 : £80 : £40
6.) Write 105 as a product of its prime factors.
105 = 3 x 5 x 7
[Grade C – Non Calculator]
7.) Factorise fully 4x2y + 8xy2
4xy(x + 2y)
8.) Write in standard form.
= 7.5 x
= 7.5 x 106
9.) Solve the equation
5(x + 4) = 10(2x – 1)
x = 2

11. 8 9 1 2 3 4 5 7 Name: Date: Mat #4a (Solutions)
1.) Express 8 out of 12 as a fraction in its simplest form.
8/12 = 4/6 = 2/3
[GCSE E – Non Calculator]
2.) Write 3 out of 10 as a percentage.
3/10 = 30/100 = 30%
3.) Calculate
= 202
4.) What is the size of i.) the external angle and ii.) the internal angle of a regular hexagon?
i.) external = 360° / 6 = 60°
ii.) internal = 180° - 60° = 120°
[GCSE D – Non Calculator]
5.) If I travel 100 miles in 3 hours, what is my speed?
𝟏𝟎𝟎 𝟑 =𝟑𝟑 𝟏 𝟑 mph
6.) Draw a stem and leaf diagram for the small data set below (remember the key!)
Key: 1|2 = 12
7.) What is the nth term of the pattern below?
3, 8, 13, 18, 23, 28, …
nth term = 5n - 2
8.) Expand and simplify the expression below
3(2x – 5) + 4(3x – 2)
18x - 23
[GCSE C – Non Calculator]
9.) Solve the equation
5(2x + 1) = 12x – 5
x = 5 8 9 1 2 3 4 5 7

12. Circumference = π x 5 x 2 = 31.4cm2 (1dp)
Name:
Date:
Mat #5a (Solutions)
1.) Consider the small data set below: , 2, 6, 6 and 1.
Calculate:
i.) mean = 5
ii.) median = 6
iii.) mode = 6
iv.) range = 9
[Grade E – Non Calculator]
2.) Design a question for a questionnaire to find the favourite drinks of girls in year 10.
What is your favourite drink?
□ tea / coffee
□ cola
□ water
□ other
3.) Design a data collection sheet to record the favourite drinks of girls in year 10.
4.) If you roll a fair die 120 times, what is the expected number of 5s that you will roll?
1/6 x 120 = 20
5.) Calculate the mean from the frequency table below:
(𝟏×𝟐)+(𝟐×𝟑)+(𝟑×𝟓) 𝟏𝟎 = 𝟐𝟑 𝟏𝟎 =𝟐.𝟑
[Grade D – Non Calculator]
6.) Sketch a scatter diagram with positive correlation.
7.) Display the data set below in a stem and leaf diagram:
Key: 1|2 = 12
8.) Calculate the circumference of a circle with a radius of 5cm.
Circumference = π x 5 x 2 = 31.4cm2 (1dp)
[Grade D – Calculator]
9.) Express 115 as a product of its prime factors.
115 = 5 x 23
[Grade C– Non Calculator]
Drink
Tally
Frequency
Tea / Coffee
Cola
Water
Other 2 3 4 8 9 1