iGCSE Mathematics (0580) : C2.2 Manipulate directed numbers. iGCSE Style Questions Paper 3

(a) 6,003,076 – Six million = 6,000,000; three thousand = 3,000; seventy-six = 76.

(b)(i) –0.375 – \( p = \frac{-0.6}{1.6} = -0.375 \).

(b)(ii) –2.2 – \( q = -0.6 – 1.6 = -2.2 \).

(b)(iii) > – Since –0.375 > –2.2.

(c) 3945 ≤ h < 3955 – Nearest 10m means height rounds to 3950m, so range is 3945m to 3955m.

(d) 1.667 – Convert to improper fractions: \( \frac{25}{12} ÷ \frac{5}{4} = \frac{25}{12} × \frac{4}{5} = \frac{100}{60} ≈ 1.6667 \) (4 s.f.).

(e)(i) 1 – Any non-zero number to the power of 0 is 1.

(e)(ii) \(\frac{1}{125}\) – \( 5^{-3} = \frac{1}{5^3} = \frac{1}{125} \).

(e)(iii) 24x⁹ – Multiply coefficients: \(8 × 3 = 24\); add exponents: \(x^{5+4} = x^9\).