Q8maths [hot] Jun 2026

Sequences, linear programming, and function graphs.

$80% = 36$. $10% = 36 \div 8 = 4.5$. $100% = 45$. Normal price is £45.

"الرياضيات لا تنتظرك حتى تصبح جاهزًا، أنت تصبح جاهزًا من خلال ممارسة الرياضيات." "Mathematics doesn’t wait for you to become ready; you become ready by practicing mathematics."

$$ \fracx^2 - 9x^2 + 4x + 3 $$ (3 Marks) q8maths

$$ 3, \quad 8, \quad 13, \quad 18 $$ (a) Write down the next term of the sequence. (1 Mark) (b) Write down an expression, in terms of $n$, for the $n$th term of the sequence. (2 Marks)

Triangle P is enlarged by scale factor 2, center $(0,0)$. Describe fully the single transformation that maps triangle P onto triangle Q (the image). (2 Marks)

(a) $4x + 7 = 19$ (2 Marks) (b) $3(2y - 1) = 15$ (3 Marks) Sequences, linear programming, and function graphs

(a) $(1, -4)$ (b) $x = 1$ (c) $-1 < x < 3$

$2x > 7 \Rightarrow x > 3.5$. Open circle at 3.5, arrow pointing right.

$$ \frac2^12 \times 2^52^3 $$ (2 Marks)

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(a) $\sqrt5^2 + 12^2 = \sqrt25 + 144 = \sqrt169 = 13 \text cm$. (b) $\tan(x) = \frac125 \Rightarrow x = \tan^-1(2.4) \approx 67.4^\circ$.

$$ y = 3x - 5 $$ (2 Marks)