GCSE Maths booket qieht all the possible questions

GCSE EDEXCEL MATHS

Aiming for Grade 5
REVISION BOOKLET




Name: ______________________________




1

,Contents
Page:
Number:
Standard form 3
Laws of indices 6
Rounding and estimating 8
Bounds 10

Algebra:
Expand and factorise quadratics 12
Rearrange formulae 15
Linear simultaneous equations 17
Graphical inequalities 21

Shape, Space and Measure:
Angles in parallel lines and polygons 26
Loci and construction 31
Transformations 36
Pythagoras’ Theorem 41
SOH CAH TOA 45
Area and perimeter of sectors 48
Volume and surface area of cones and spheres 50
Length, area and volume similarity (LAV) 53

Data Handling:
Averages from tables 56
Sampling 59

Probability:
Probability trees 63

Ratio and Proportion:
Proportion 67
Calculating with fractions 71
Percentages – compound interest 75
Percentages – reverse 77




2

,Standard Form
Things to remember:
 a x 10b


1 ≤ a < 10

1. A floppy disk can store 1 440 000 bytes of data.
(a) Write the number 1 440 000 in standard form.

……………………………………
(1)
A hard disk can store 2.4 × 109 bytes of data.
(b) Calculate the number of floppy disks needed to store the 2.4 × 10 9 bytes of data.


……………………………………
(3)
(Total 4 marks)

2. A nanosecond is 0.000 000 001 second.
(a) Write the number 0.000 000 001 in standard form.
……………………………………
(1)
A computer does a calculation in 5 nanoseconds.
(b) How many of these calculations can the computer do in 1 second?
Give your answer in standard form.


……………………………………
(2)
(Total 3 marks)

3. (a) (i) Write 40 000 000 in standard form.
……………………………………
(ii) Write 3 x 10–5 as an ordinary number.
……………………………………
(2)
(b) Work out the value of
3 x 10–5 x 40 000 000
Give your answer in standard form.



……………………………………
(2)
(Total 4 marks)




3

, 4. Work out (3.2 × 105) × (4.5 × 104)
Give your answer in standard form correct to 2 significant figures.




……………………………………
(Total 2 marks)

5. (a) Write the number 40 000 000 in standard form.
……………………………………
(1)
(b) Write 1.4 × 10–5 as an ordinary number.
……………………………………
(1)
(c) Work out
(5 × 104) × (6 × 109)
Give your answer in standard form.




……………………………………
(2)
(Total 4 marks)

6. Write in standard form
(a) 456 000
……………………………………
(1)
(b) 0.00034
……………………………………
(1)
(c) 16 × 107
……………………………………
(1)
(Total 3 marks)

7. (a) Write 5.7× 10–4 as an ordinary number.
……………………………………
(1)
(b) Work out the value of (7 × 104) × (3 × 105)
Give your answer in standard form.




……………………………………
(2)
(Total 3 marks)

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