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Transcript
YEAR 7 and 8 MATHEMATICS REVISION, SUMMER, LEVEL 2
Paper 1: Non-Calculator paper (60 minutes)
Paper 2: Calculator paper (60minutes)
Equipment: pen, pencil, rubber, ruler, scientific calculator, pair of compasses, protractor
The examinations will be based on the ISEB 13+ Common Entrance Syllabus
The following document is an essential revision guide, which was given to pupils earlier in
the year;
https://www.iseb.co.uk/getmedia/a28da31f-b701-45a6-b3e3-305d982700b3/Syllabus-CECASE-Mathematics.pdf.aspx?ext=.pdf
Pupils have been completing personalised revision programmes this term and will be
familiar with the particular areas of the syllabus for consolidation. The check list below
offers suggested topics to focus on.
1.
2.
3.
4.
5.
6.
Negative numbers
11. Probability
Equations
12. Area
Approximations
13. Scatter diagrams
Polygons
14. Ordering decimals
Pie charts
15. Forming equations
Fractions, decimals and
16. Calculations with mixed numbers
percentages
17. Plotting lines
7. Enlargement
18. Sequences
8. Scatter diagrams
19. Circles
9. 3-figure bearings
20. Distance, speed, time
10. Long division
Revision aids include: classwork books, practice papers, syllabus summaries and work
sheets, Galore Park 2 text book, ISEB miniature revision guide and blue Year 8 Lower ISEB
mixed maths exercises book.
Some handy hints;
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
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
4.
5.
6.
7.
8.
9.
(L2 Write 60g as a percentage of 1kg)
Negative numbers
It is 3°C in London. What will the new
temperature be if this drops by 15°C?
(L2 What is -52?
Percentage conversions to fractions
Write 75% as a fraction.
and decimals
(L2 What is 3/8 as a decimal?)
Mean, median, mode and range of a
The mode of 4 numbers is 3, the mean is 4.
set of data
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?)
Addition, subtraction, multiplying and I spend £3.79. What change do I receive
dividing decimals
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?)
Finding fractions of amounts
Find 5/6 of £42.00
(L2 What is the difference between ¾ of 16
and ½ of 20?)
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?)
Paper 2 - Calculator
1. Finding percentages
2. Approximations: Rounding, Decimal
places, Significant figures
3. Conversion graphs
4. Finding angles, Parallel lines
Find 67% of £190 (clue: 0.67 x 190 – use
2dp)
(L2 Increase £3.00 by 35%)
Write 65.58 to the nearest whole number,
to 1 decimal place and to 3 significant
figures.
Plot and read graphs using lines with arrows
to show where you take your readings.
Know that angles on a straight line + up to
180°, angles in a circle, or a quadrilateral +
up to 360°, rules for finding angles on
parallel lines (see PowerPoint)
5. Area of compound shapes
6. Probability
7. Quadrilaterals
8. Sequences
9. Ratio
10. Algebra: multiplication of bracket by a
single term, simplifying expressions
Divide shape into rectangles, squares or
triangles. Area of triangle = ½ base x height
Use fractions, decimals and a probability
scale to describe probability.
Name 6 different quadrilaterals (4 sides)
Calculate missing angles in a quadrilateral.
(L2 Accurately construct a rhombus /
parallelogram and know the properties.)
Find the 3 next terms in this sequence:
4, 7, 10, 13, 16….
(L2 What is the 15th term in that sequence?,
what is the rule to find the nth term?)
Beads are placed on a necklace in the ratio
3 black : 1 white. A necklace has 15 black
beads, how many white beads?
(L2 If the necklace has 44 beads in total,
how many are black?)
Multiply out the bracket 7 ( x + 3)
Simplify
3s + 4r – s + 5r
(L2 Multiply out the bracket and simplify
8p – 2(2p + 4)
Factorise 14j – 7t
Simplify
5d2 x 3ed )