2SIX3 READINESS ASSESSMENT
AS → A 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 x^3 × x^5.
2. Evaluate 16^(3/4).
3. Simplify √48.
4. 2^(-4) =
5. ln(e^3) =
6. If log10(1000) =
7. 27^(1/3) =
8. Simplify 1/(x^-2).
Algebra (7 questions)
9. Differentiate x^3.
10. Differentiate 5x²−3x.
11. Integrate 2x.
12. Solve x²−9=0. Roots =
13. If f(x)=2x+1, f(7) =
14. Factorise x²−16.
15. Solve 2x²−8=0. Positive root =
Ratio & Proportion (5 questions)
16. If y∝x² and y=36 when x=3, k =
17. If y∝1/x and y=10 when x=2, y when x=5 =
18. Increase 1200 by 6%.
19. Decay multiplier for 8% decrease =
20. If y=5x, x=7 gives y =
Geometry & Measures (5 questions)
21. Convert 90° to radians.
22. sin 30° =
23. cos 0° =
24. tan 45° =
25. Area circle r=4 in terms of π =
Statistics & Probability (5 questions)
26. Mean of 8,10,12,14 =
27. P(A)=0.72, P(not A) =
28. Two independent events P(A)=0.5,P(B)=0.4. P(A and B) =
29. Median of 3,5,6,9,12 =
30. Range of 4,15,21,29 =
A Level Readiness (5 questions)
31. Differentiate sin x.
32. Differentiate e^x.
33. Integrate 3x².
34. Arithmetic sequence a=5,d=4. 12th term =
35. Geometric sequence a=3,r=2. 6th term =
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