2SIX3 READINESS ASSESSMENT
GCSE → AS Level
35 questions • 60 minutes
Work independently. You can move between questions. Submit when finished.
Time remaining60:00Assessment timer
Assessment areas: Number Skills, Algebra, Ratio & Proportion, Geometry & Measures, Statistics & Probability, plus a readiness/extension section appropriate to this pathway.
Number Skills (8 questions)
1. Simplify 3^4 × 3^2.
2. Simplify √72.
3. Write 0.00062 in standard form.
4. 2^(-3) =
5. Evaluate 27^(2/3).
6. Simplify (x^3)(x^5).
7. If a=2, evaluate 3a²−4.
8. 1/2 + 1/3 + 1/6 =
Algebra (7 questions)
9. Solve x²−5x+6=0. Roots =
10. Factorise x²+7x+12.
11. If f(x)=3x+2, f(5) =
12. Solve 2x+5=17.
13. Solve 3x−2=2x+7.
14. Complete square: x²+6x+9 =
15. nth term arithmetic a=5,d=4 =
Ratio & Proportion (5 questions)
16. Direct proportion: y=12 when x=3. y when x=5 =
17. Inverse proportion: y=12 when x=2. y when x=3 =
18. Increase 600 by 7.5%.
19. A quantity grows by 5%. Multiplier =
20. If y=kx and y=28 when x=7, k =
Geometry & Measures (5 questions)
21. Right triangle legs 6 and 8. Hypotenuse =
22. Convert 60° to radians.
23. sin 30° =
24. cos 60° =
25. Area circle radius 3 in terms of π =
Statistics & Probability (5 questions)
26. Mean of 4,7,9,12 =
27. P(A)=0.35. P(not A) =
28. Two fair coins: probability of two heads =
29. Median of 2,5,8,9,13 =
30. Range of 3,11,18,25 =
AS Readiness (5 questions)
31. Differentiate x^3.
32. Differentiate 5x²−3x.
33. Arithmetic sequence a=4,d=3. 10th term =
34. Geometric sequence a=3,r=2. 6th term =
35. Solve x²−9=0. Roots =
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