GCSE Maths Easter Revision pack For Unseen Assessments

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GCSE Maths Easter Revision pack For Unseen Assessments
GCSE Maths
         Easter Revision pack
    For Unseen Assessments

           Name: ___________________
                   Form: __________

   The topics included in this revision pack are based on the
          specification for the Unseen Assessments.
   Each topic includes a QR code to a revision video with an
      accompanying exam question for you to attempt.
       The answers are included in the back of the pack.
TOP TIP: Revise in small chunks, completing 1-2 pages at a time.

                      Assessment dates:
           Unseen Assessment 1: w/c 26th April 2021
           Unseen Assessment 2: w/c 10th May 2021
GCSE Maths Easter Revision pack For Unseen Assessments
Mathematics – Unseen Assessment 1 (Foundation - Calculator)
     Specification                                     Details
5.03a – Growth and          Solve problems step by step involving multipliers over a given
decay                       interval, for example compound interest, depreciation.
  QR code/Video link                               Questions to try
                            1. The population of a town is now 84 100.
                               The population of the town is predicted to rise by 2% each
                               year.
                            Find the predicted population of the town after 6 years.

https://corbettmaths.com/
2012/08/21/compound-
                                                                 .......................... people
interest/
6.01 – Algebraic            Simplify algebraic terms by collecting like terms (multiplying
expressions                 and dividing)
                            Expand single and double brackets
                            Factorising into single and double brackets
  QR code/Video link                                Questions to try

                                1. Simplify

                                2. Expand
https://corbettmaths.com/
 2013/12/23/expanding-
    brackets-video-13/          3. Expand and simplify

6.01 – Algebraic            Factorising into single and double brackets
expressions
  QR code/Video link                                Questions to try
                                1. Factorise

                                2. Factorise
https://corbettmaths.com/
2013/02/06/factorisation/
6.03a – Linear equations    Set up and solve linear equations
in one known
   QR code/Video link                               Questions to try

                                1.                            2. Solve

https://corbettmaths.com/   3.Solve                      4. Solve
   2012/08/24/solving-
        equations/

  QR code/Video link                             Questions to try
10.05a - Pythagoras         Know Pythagoras’ theorem and use it to find missing lengths
                            in 2D
GCSE Maths Easter Revision pack For Unseen Assessments
QR code/Video link                              Questions to try

https://corbettmaths.com/
 2012/08/19/pythagoras-
          video/

10.03d – Area of a circle   Know and apply the formula area = pi r^2 to calculate area of
                            a circle.
  QR code/Video link                             Questions to try

https://corbettmaths.com/
  2013/12/22/area-of-a-
  circle-video-40-and-59/                                       Give your answers to 2dp

12.02a – Categorical and    Interpret and construct charts appropriate to data type
numerical data              including frequency tables, bar charts, pie charts and
                            pictograms for categorical data, vertical line charts for
                            ungrouped discrete numerical data. Interpret multiple and
                            composite bar charts.
  QR code/Video link                               Questions to try
GCSE Maths Easter Revision pack For Unseen Assessments
Show that you can work out the angles before you draw the
                                 pie-chart. Hint! Draw another column next to ‘Frequency’
                                 and label ‘angles’

https://corbettmaths.com/
2013/02/27/drawing-a-pie-
          chart/

12.03a – Summary                 Calculate averages from ungrouped and grouped data tables.
statistics
  QR code/Video link                                     Questions to try
                                 1.

https://corbettmaths.com/
 2012/08/19/means-from-
    frequency-tables/

                                 2.

https://corbettmaths.com/
  2012/08/19/estimated-
means-from-grouped-data/

   QR code/Video link                                   Questions to try
2.03 – Percentages               To be able to use ratio, fractions and percentages in a variety
5.01 – Calculations with ratio   of ways, including problem solving.
2.01 - Fractions
   QR code/Video link                                     Questions to try
                                     1. Nikhil, Davina and Sid share a tin of celebrations amongst
                                         themselves in the ratio of 8:12:20 respectively.
                                 Given that Davina gets 48 sweets, calculate the total number of
                                 sweets that were in the tin.
GCSE Maths Easter Revision pack For Unseen Assessments
https://corbettmaths.com/      2. £85.75 is being shared between Zayn and Edith in the ratio
2013/03/03/ratio-sharing-         3:4.
         the-total/         How much money would each of them get?

                               3. Andrew is paid £250 a week.
                            Each week, he
                                 •   shares his pay with his sister in the ratio 3 : 2
https://corbettmaths.com/
                                 •   saves 12% of his share.
 2013/02/15/percentages-    How many weeks will it take Andrew to save £360?
 of-an-amount-calculator/

Mathematics – Unseen Assessment 2 (Foundation - Non-calculator)
       Specification                                      Details
1.01 – Negative numbers          Four rules of negative numbers.
    QR code/Video link                                Questions to try

                                     1. Work out

                                     2. Calculate
                                     3. Work out
 https://corbettmaths.com/201
  3/06/08/negatives-addition-
       and-subtraction-2/

 https://corbettmaths.com/201
 2/08/20/multiplying-negative-
            numbers/

1.02a – Definitions and          Identify odd, even, prime, factor, multiple, square, cube
terms                            and roots of numbers.
    QR code/Video link                                 Questions to try
                                    1. Which of the following numbers is not a square?

                                      2. Dave is thinking of a number. The number is:
                                 • greater than 200,
 https://corbettmaths.com/201    • less than 300,
         2/08/11/1335/           • a square number,
                                 • a multiple of 5.
                                 What number is Dave thinking of?
1.02b – Prime numbers          Identify prime numbers less than 20
                               Express numbers as a product of primes
   QR code/Video link                                  Questions to try
                               Here is a list of numbers.
                               2 8 15 24 31 36 40 64
                               From this list, write down a prime number.

https://corbettmaths.com/201
   3/03/24/prime-numbers/

1.02c – Find the HCF and       HCF and LCM by listing.
LCM of two whole numbers       HCF and LCM in context.
by listing                     HCF and LCM of two whole numbers from their prime
                               factors.
   QR code/Video link                               Questions to try
                                   1. Write down all the factors of 18.

                                  2.
                                  3. Write down a multiple of 6 between 10 and 20.
https://corbettmaths.com/201      4. Find the lowest common multiple (LCM) of 4, 5 and 6.
2/08/24/common-factors-and-
             hcf/

https://corbettmaths.com/201
  2/08/11/lcm-and-common-
          multiples/

2.01 and 2.02 – Decimals       Converting between fractions, decimals and percentages
and fractions                  Four rules of fractions and decimals
    QR code/Video link                               Questions to try
                                  1. Write 0.7 as a fraction.
                                  2. Write 3% as a decimal.
                                  3. Write 0.39 as a fraction.

https://corbettmaths.com/201      4. Work out
 2/08/21/fractions-addition-
       and-subtraction/
                                  5. Work out in the simplest form

                                  6. Work out

                                  7. Work out
https://corbettmaths.com/201
    2/08/21/division-with-
           fractions/

3.01c – Laws of Indices         Know and use the laws of indices
    QR code/Video link                                 Questions to try
                                1. Express 8 x 2 as a power of 2

                                2) Simplify

                                    3.

https://corbettmaths.com/201        4.
   3/03/13/laws-of-indices-         5.
           algebra/

                                   6. Simplify
3.02 – Standard form            Convert between normal and standard form
                                Calculate in standard form
    QR code/Video link                               Questions to try
                                    1.
                                    2.
                                    3.
                                    4. Work out your answer in standard form
https://corbettmaths.com/201
   3/04/28/standard-form/
                                    5.                                    Write your answer
                                         in standard form

https://corbettmaths.com/201
   3/04/29/standard-form-
        multiplication/

4.01a - Rounding                Round to the nearest 10, 100, 1000, decimal places and
                                significant figures.
    QR code/Video link                               Questions to try
                                    1. Round 7.3065 to 1 decimal place

                                    2.
                                    3.

https://corbettmaths.com/201
3/09/07/rounding-significant-
           figures/                 4.

4.01b - Estimation              Estimate or check without a calculator the result of a
                                calculation by using suitable approximations
    QR code/Video link                               Questions to try
https://corbettmaths.com/201
3/09/07/rounding-significant-
           figures/

6.01 – Algebraic expressions     Simplify algebraic terms by collecting like terms
                                 (multiplying and dividing)
                                 Expand single and double brackets
                                 Factorising into single and double brackets
    QR code/Video link                                 Questions to try
                                      1. Simplify

                                      2. Simplify

https://corbettmaths.com/201          3.
3/12/28/collecting-like-terms-
           video-9/

                                      4. (a) Expand                 (b) Expand

                                      5. Expand and simplify
https://corbettmaths.com/201
 3/12/23/expanding-brackets-          6. Factorise
           video-13/                  7. Factorise

6.03a – Linear equations in      Set up and solve linear equations.
one known
    QR code/Video link                                  Questions to try
                                 1.                          2. Solve

                                 3) solve                4) solve

https://corbettmaths.com/201
 2/08/24/solving-equations/

                                 5) work out the value of x in the rectangle above.

6.06a - Sequences                Calculate the nth term of linear sequences
                                 Generate terms in a sequence
                                 Deduce if a given number is in a sequence
QR code/Video link                              Questions to try

                                   1.

https://corbettmaths.com/201
                                   2.
  2/08/20/the-nth-term-for-
       linear-sequences/

                                    3.
7.02a – Straight line graphs    Sketch linear graphs from an equation.
    QR code/Video link                               Questions to try
                                1. Sketch a graph of y = x + 2

https://corbettmaths.com/201
3/04/20/drawing-graphs-using-
    gradient-and-intercept/

8.01c - Polygons                Know the names of 2D and 3D shapes and their properties
                                including lines of symmetry and rotational symmetry
    QR code/Video link                                Questions to try
                                1.

https://corbettmaths.com/201
 2/08/10/angles-in-polygons/

https://corbettmaths.com/201       2.
 3/12/27/edges-face-vertices-
           video-5/

                                   3.
8.03 - Angles                    Apply basic angle rules and justify
                                 Apply facts to find missing angles of a polygon including
                                 interior, exterior and number of sides.
                                 Use and justify angles in parallel lines rules.

    QR code/Video link                                Questions to try

https://corbettmaths.com/201
 2/08/10/angles-in-a-triangle/

                                    1.

                                    2.

https://corbettmaths.com/201
 2/08/10/angles-in-polygons/        3.

                                    4.

9.01 – Translation,              Perform and describe these transformations.
reflection, rotation
     QR code/Video link                               Questions to try

https://corbettmaths.com/201
   2/08/19/enlargements/

11.02 – Tree Diagrams            Construct and interpret tree diagrams with and without
                                 replacement.
    QR code/Video link                                Questions to try
https://corbettmaths.com/201
   3/05/07/tree-diagrams/

12.03c – Bivariate data          Plot and interpret scatter graphs.
                                 Recognise correlation.
                                 Draw a use a line of best fit.
                                 Interpolate and extrapolate from data and be aware of the
                                 limitations of these techniques
    QR code/Video link                                  Questions to try

https://corbettmaths.com/201
   2/08/10/scatter-graphs/

                                 B) Try and draw the line of best fit on both graphs.

2.03 – Percentages               To be able to use ratio, fractions and percentages in a
5.01 – Calculations with ratio   variety of ways, including problem solving.
2.01 - Fractions                 Calculate fractions and percentages of quantities.
    QR code/Video link                                 Questions to try

https://corbettmaths.com/201
         3/02/15/fdp/
ANSWERS SECTION
     Specification                              Answers (Calculator)
5.03a – Growth and          1. 94700 people
decay
                            2. any value in the range 12349 to 12350

6.01 – Algebraic
                               1.
expressions
                               2.
                               3.                     simply to:
6.01 – Algebraic            Factorising into single and double brackets
expressions
                               1.
                               2. (x + 3) (x + 5)
6.03a – Linear equations    Set up and solve linear equations
in one known

                               1.                  2.             3.         4.

10.05a - Pythagoras         Know Pythagoras’ theorem and use it to find missing lengths
                            in 2D
                                1. AB = 17cm               2. BC = 19.1cm
10.03d – Area of a circle   Know and apply the formula area = pi r^2 to calculate area of
                            a circle.
                                1. 78.5cm2 6. 38.5m2
12.02a – Categorical and    Interpret and construct charts appropriate to data type
numerical data              including frequency tables, bar charts, pie charts and
                            pictograms for categorical data, vertical line charts for
                            ungrouped discrete numerical data. Interpret multiple and
                            composite bar charts.

                            France = 153 degrees          Ireland = 117 degrees
                            Portugal = 36 degrees         Spain = 54 degrees
12.03a – Summary            Calculate averages from ungrouped and grouped data tables.
statistics
                                1. 3.75 or rounded to 4 people per family
                                2. 47.5 mph
2.03 – Percentages          To be able to use ratio, fractions and percentages in a variety
5.01 – Calculations with    of ways, including problem solving.
ratio                           1. 160 sweets
2.01 - Fractions                2. Zayn = £36.75       and Edith = £49
                                3. 20 weeks

       Specification                           Answers (NON-Calculator)
1.01 – Negative numbers        Four rules of negative numbers.
                                  1. -11
                                  2. -26
                                  3. 2
1.02a – Definitions and        Identify odd, even, prime, factor, multiple, square, cube
terms                          and roots of numbers.
                               Answers       1. 25             2. 225
1.02b – Prime numbers          Identify prime numbers less than 20
                               Express numbers as a product of primes

                               Answer is        "2 OR 31"

1.02c – Find the HCF and       HCF and LCM by listing.
LCM of two whole numbers       HCF and LCM in context.
by listing                     HCF and LCM of two whole numbers from their prime
                               factors.

                                  1. 1 , 2 , 3 , 6 , 9 , 18
                                  2. "2", "3" and "6"
                                  3. "12 OR 18"
                                  4. 60
2.01 and 2.02 – Decimals       Converting between fractions, decimals and percentages
and fractions                  Four rules of fractions and decimals

                                    1.                 2) 0.03      3.       4.      5.    6.

                               7) 24/4 = 6
3.01c – Laws of Indices        Know and use the laws of indices

                                  1. 24 2) a5 3) 35       4) y6 5) y7 6)
3.02 – Standard form           Convert between normal and standard form
                               Calculate in standard form

                                    1. )                  2)                3)

                               4)                 5)

4.01a - Rounding               Round to the nearest 10, 100, 1000, decimal places and
                               significant figures.

                               1) 7.3         2) 200          3) 8760        4) 40.8
4.01b - Estimation             Estimate or check without a calculator the result of a
                               calculation by using suitable approximations

                               Answer is 40
6.01 – Algebraic expressions   Simplify algebraic terms by collecting like terms
                               (multiplying and dividing)
                               Expand single and double brackets
                               Factorising into single and double brackets

                               1) 6a          2) 2p + 3q          3) 12ab    4a) 8y + 12

                               4b)              5) 9c – 13 6) 5(c+6) 7)
6.01 – Algebraic expressions   Simplify algebraic terms by collecting like terms
                               (multiplying and dividing)
                               Expand single and double brackets
                               Factorising into single and double brackets
1) x = 6 2) y = -2 3) x = -12 4) y = 17 5) x =7.75cm
6.06a - Sequences              Calculate the nth term of linear sequences
                               Generate terms in a sequence
                               Deduce if a given number is in a sequence
                               1) 52      2) -48 3)
7.02a – Straight line graphs   Sketch linear graphs from an equation.
                               Answers: y = x +2 means a graph that has y-intercept at 2
                               and gradient of 1
8.01c - Polygons               Know the names of 2D and 3D shapes and their properties
                               including lines of symmetry and rotational symmetry
                                   1. Hexagon and decagon
                                   2. Kite
                                   3. 5 faces and 8 edges
8.03 - Angles                  Apply basic angle rules and justify
                               Apply facts to find missing angles of a polygon including
                               interior, exterior and number of sides.
                               Use and justify angles in parallel lines rules.

                                   1.             2.            3.      4.
9.01 – Translation,            Perform and describe these transformations.
reflection, rotation           Answer is scale factor ½
11.02 – Tree Diagrams          Construct and interpret tree diagrams with and without
                               replacement.
                               Answers are:
12.03c – Bivariate data        Plot and interpret scatter graphs.
                               Recognise correlation.
                               Draw a use a line of best fit.
                               Interpolate and extrapolate from data and be aware of the
                               limitations of these techniques

                               Answer is graph B
                               Line of best fit should be a straight line along the
                               steepness of the crosses.
2.03 – Percentages5.01 –       To be able to use ratio, fractions and percentages in a
Calculations with ratio        variety of ways, including problem solving.
2.01 - Fractions               Calculate fractions and percentages of quantities.

                               Answer is 24%
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