iGCSE Mathematics (0580) - C1.4 Fractions, decimals and percentages- Exam Style Questions Paper 3- New Syllabus
▶️ Answer/Explanation
Simplify each fraction to see if it equals $\frac{2}{5}$ ($0.4$):
$\frac{6}{15} = \frac{2}{5}$
$\frac{10}{25} = \frac{2}{5}$
The remaining fractions simplify to $\frac{1}{10}$, $\frac{1}{5}$, and $2.5$. These are the ones to ring.
✅ Answer: $\frac{1}{10}$, $\frac{16}{80}$, $\frac{5}{2}$
▶️ Answer/Explanation
(a) 120,020 – “One hundred twenty thousand” = 120,000; “and twenty” = +20
(b) 59 – Check 59×59=3,481 (60×60=3,600 → test 59)
(c)(i) 5/8 – 5 shaded parts out of 8 total
(ii) 37.5% – Unshaded = 3/8 → 0.375 → 37.5%
(d) 7/29 < 0.268 < 27% < 5/17 – Convert all to decimals: 0.241, 0.268, 0.270, 0.294
(e) 0.4 – Second decimal (7) rounds first decimal up (3→4)
(f) 1 – Assuming cos(0°)=1 (question likely missing “cos”)
(g) 127.5 ≤ h < 128.5 – Nearest meter includes ±0.5m range
(h) 18 – 126=2×3²×7; 180=2²×3²×5 → HCF=2×3²=18
(i) √37 or π+3 – √36=6, √49=7 → √37≈6.08 (irrational)