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10 short questions covering core GCSE prerequisites in algebra, number, percentages, graphs, trigonometry and functions. This is a screening baseline, not a predicted grade.

1. Factorise x² + 7x + 12.
(x+2)(x+6)
(x+3)(x+4)
(x−3)(x−4)
(x+1)(x+12)
2. Solve 2x + 5 = 17.
x = 5
x = 6
x = 7
x = 11
3. Simplify (x³)(x⁴).
x⁷
x¹²
2x⁷
x
4. Write 0.00056 in standard form.
5.6 × 10⁻⁴
5.6 × 10⁻³
56 × 10⁻⁴
0.56 × 10⁻⁴
5. A price falls from £80 to £68. What is the percentage decrease?
12%
15%
17.6%
20%
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