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GCSE Mathematics – Aiming for an A or Better

Grade Criteria and exemplar examination questions to get a Grade A or A* in the following topics:

1. Surds
2. Recurring Decimals
3. Limits of Accuracy
4. Indices
5. Proportionality
6. Rearranging Formulae
7. Algebraic Fractions
8. Using Graphs
9. Quadratic Equations
10. Simultaneous Equations
11. Algebraic Proofs
12. Circle Theorems
13. Trigonometry – for triangles which are not right-angled 14. Vectors
15. Similar Triangles
16. Congruent Triangles
17. Scale Factors – for volumes & surface areas of similar shapes (2D or 3D) 18. Stratified Samples
19. Histograms
20. Tree Diagrams
21. Mixed Questions

NC = non-calculator question

GCSE Mathematics: Surds

|Grade Criteria |Can Do | |To get a grade B you must be able to: | | |Work out the square roots of some decimal numbers | | |To get a grade A you must be able to: | | |Simplify surds by rewriting with the smallest integer inside the root | | |To get a grade A* you must be able to: | | |Simplify surds by rationalising denominators | | |Manipulate & simplify expressions involving surds | |

Question 1
[i]
[pic]
[ii]
[pic]
GCSE Mathematics: Recurring Decimals

|Grade Criteria |Can do | |To get a grade A you must be able to: | | |Convert recurring decimals to fractions | |

Question 2

[pic]

[ii]
Convert the recurring decimal [pic]to a fraction.

………………………………
(2)
GCSE Mathematics: Limits of Accuracy

|Grade Criteria |Can Do | |To get a grade B you must be able to: | | |Find limits of accuracy for numbers given to whole number accuracy | | |To get a grade A you must be able to: | | |Find limits of accuracy for numbers given to d.p. or s.f. accuracy | | |To get a grade A* you must be able to: | | |Find limits of accuracy for compound measures (speed, gradient, etc) | |

Question 3
(i)
[pic]

(ii)
[pic]
GCSE Mathematics: Indices

|Grade Criteria |Can Do | |To get a grade C you must be able to:...
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