2SIX3 READINESS ASSESSMENT
Year 9 → GCSE Higher
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 2^5 ÷ 2^2.
2. Write 450000 in standard form.
3. Simplify √50.
4. 3/4 ÷ 2/5 =
5. Increase 800 by 15%.
6. Compound multiplier for 7% increase =
7. 0.0048 in standard form =
8. 125^(1/3) =
Algebra (7 questions)
9. Expand 3(x+4)+2x.
10. Factorise 6x+18.
11. Solve 5x−7=18.
12. Solve 4x=2x+18.
13. Factorise x²+7x+12.
14. Solve x²−5x+6=0. Give roots.
15. nth term 7,12,17,22 =
Ratio & Proportion (5 questions)
16. Share 240 in ratio 5:3. Larger share =
17. Direct proportion: y=12 when x=3. y when x=5 =
18. Reverse percentage: after 20% discount price is £80. Original =
19. Increase 500 by 4% twice. Final =
20. If y∝x and y=18 when x=6, constant k =
Geometry & Measures (5 questions)
21. Pythagoras legs 5 and 12. Hypotenuse =
22. Exterior angle regular 12-gon =
23. Area circle r=6, leave in terms of π.
24. sin 30° =
25. Interior angle regular hexagon =
Statistics & Probability (5 questions)
26. P(red) if 3 red and 7 blue counters =
27. If P(A)=0.6, P(not A) =
28. Mean of 4,6,9,11 =
29. Median of 3,5,8,12,17 =
30. Range of 7,13,21,26 =
GCSE Higher Readiness (5 questions)
31. Solve 2x²−8=0. Positive root =
32. If f(x)=3x+2, f(5) =
33. Gradient of y=4x−7 =
34. Convert 60° to radians.
35. Arithmetic sequence a=4,d=3. 10th term =
0/35
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