ST. FRANCIS SCHOOL MATHEMATICS DEPARTMENT
YEAR 6 MATHEMATICS REVISION, SUMMER
Pupils in Year 6 will be examined on all elements of the 11+ Common Entrance syllabus
studied in Years 5 & 6 and for some pupils on the 13+ syllabus. Revision exercises will be
provided in class and for homework. Pupils should use their classbooks and practice papers
to complement their revision and may borrow text books from school upon request.
The following document is a very useful revision guide;
https://www.iseb.co.uk/getmedia/a28da31f-b701-45a6-b3e3-305d982700b3/Syllabus-CECASE-Mathematics.pdf.aspx?ext=.pdf
Examination The examination will last for one hour and is a non-calculator paper.
Equipment required Pupils will need a pen, pencil, rubber and a 30cm ruler.
A pair of compasses, protractor, tracing paper and mirror will be provided by the
mathematics department as required.
Differentiation
Set 1 13+ Non Calculator Level 1 or 2
Set 2 13+ Non Calculator Level 1
Set 3 11+
This will give each pupil the chance to demonstrate their own current numerical skill level, in
addition to providing valuable assessment information.
Suggested revision topics:
1. Types of number: primes, squares, cubes, factor pairs, multiples, triangular numbers
& sequences, negative numbers, factor trees.
2. Fractions, decimals & percentages: improper fractions <-> mixed numbers,
converting, reducing and ordering fractions, finding fractions of amounts, using
decimal notation up to at least hundredths, finding simple percentages, expressing
fractions as percentages, adding and subtracting decimals using column method.
3. The four rules of number, to include:
a. Multiplying & dividing integers & decimals by 10, 100 or 1000, multiplying
ThHTU x U , HTU x TU , U.t x U and U.th x U , using standard methods.
b. Division: dividing HTU ÷ U and TU.t ÷ U using standard written methods.
Divisibility tests, expressing a quotient as a fraction or a decimal.
4. Shape & Space: Triangle construction, Volume, 2D shapes (to include parallelogram,
rhombus & trapezium), 3D shapes: properties, visualising & describing, measuring
angles accurately with a protractor, calculating angles in a triangle, Area & perimeter
of rectangles, compound shapes & area of right-angled triangles, Symmetry to
ST. FRANCIS SCHOOL MATHEMATICS DEPARTMENT
5.
6.
7.
8.
9.
include reflection in up to two mirror lines and order of rotational symmetry,
Transformations: reflection, rotation and translation on a grid.
Probability expressed as a fraction and on a probability scale.
Data: Pie charts, Conversion graphs, grouped frequency tables, grouped data as bar
graphs, mean, median, mode and range.
Measures:
a. metric conversions: length, capacity and weight
b. time: units of time, time zones around the world
c. ordering measurements.
Approximations: round to nearest 1/10, 1, 10, 100 or 1000.
Proportion & ratio.
Set 1
Paper 1 – Non-calculator
1. Types of numbers, Products of prime
numbers
2. Multiplying large numbers,
Multiplying & dividing by powers of
10
3. Metric conversions
4. Negative numbers
5. Percentage conversions to fractions
and decimals
6. Mean, median, mode and range of a
set of data
7. Addition, subtraction, multiplying and
dividing decimals
8. Finding fractions of amounts
Find the product of 5 and 12
Write 100 as a product of its prime factors.
(L2 What is the largest odd number which is
a factor of 100?)
How many months in 25 years?
345 x 12 = 4140, use this fact to find 3.45 x
12
(L2 Find 4140 ÷ 0.6)
Write 3 ¾kg in grams
(L2 Write 60g as a percentage of 1kg)
It is 3°C in London. What will the new
temperature be if this drops by 15°C?
(L2 What is -52?
Write 75% as a fraction.
(L2 What is 3/8 as a decimal?)
The mode of 4 numbers is 3, the mean is 4.
What is the missing number? 2, 3, 3, and ?
(L2 What is the range of the number of days
in a month in a leap year in the British
calendar?)
I spend £3.79. What change do I receive
from a £20 note? Buns cost 75p. How many
can I buy for £5?
(L2 USB memory sticks cost £4.79 each. How
much would it cost to buy 15? VAT is
charged at 20%. If the price of an item
including VAT is £6.24, what is the net cost
of the item?)
Find 5/6 of £42.00
(L2 What is the difference between ¾ of 16
and ½ of 20?)
ST. FRANCIS SCHOOL MATHEMATICS DEPARTMENT
9. Algebra: solving equations, expressing Solve 3y + 2 = 8
sequences algebraically, substitution
A sequence begins 5, 8, 11, 14, … what is the
next term? How do I find the nth term?
If a = 4 and b = -1, what is ab?
(L2 What is 2b ÷ a?)