Edexcel IGCSE Math A Foundation 1.2 Fractions Questions

10

2 3/4

30

0.18

Final answer:

M1 for $5\times8$ or $\frac{360}{9}$.
A1.

$$\frac38\times240=90$$

Equivalent methods include:
$$240\div8\times3 \quad\text{or}\quad 0.375\times240$$

Final answer:
90

M1 for a complete method. A1.

Crew:
403-384=19

Fraction of people who are crew:
$$\frac{19}{403}$$

M1 for 403-384=19 or for a fraction with denominator 403.

Example conversions:
$$0.7,\quad 0.8,\quad 0.5,\quad 0.725$$
or
$$\frac{28}{40},\quad \frac{32}{40},\quad \frac{20}{40},\quad \frac{29}{40}$$

Final answer:
$$\frac{1}{2},\quad \frac{7}{10},\quad \frac{29}{40},\quad \frac{4}{5}$$

Marking guidance:
- M1 for converting all four fractions to a common form, or 3 fractions in the correct order or reverse order
- A1 for the correct order in any correct form

Example:
$$\frac{16}{30}+\frac{9}{30}$$
OR equivalent fractions with a common multiple denominator, e.g.
$$\frac{80}{150}+\frac{45}{150}$$

Then:
$$\frac{16}{30}+\frac{9}{30}=\frac{25}{30}=\frac{5}{6}$$

Shown.

Marking guidance:
- M1 for $\frac{16}{30}$ and $\frac{9}{30}$, or both fractions as equivalent fractions with denominators that are a common multiple of 10 and 15
- A1 for a conclusion to the given answer from correct working showing all steps

Example:
$$\frac{14}{3}\quad\text{and}\quad\frac{10}{9}$$$$\frac{14}{3}\times\frac{9}{10}$$

OR:
$$\frac{42}{9}\div\frac{10}{9}$$

Example conclusion:
$$\frac{14}{3}\times\frac{9}{10}=\frac{126}{30}=\frac{21}{5}=4\frac{1}{5}$$
OR:
$$\frac{14}{3}\times\frac{9}{10}=\frac{126}{30}=4\frac{6}{30}=4\frac{1}{5}$$
OR:
$$\frac{126}{27}\div\frac{30}{27}=\frac{126}{30}=\frac{21}{5}=4\frac{1}{5}$$

Shown.

Marking guidance:
- M1 for both mixed numbers expressed as improper fractions
- M1 for multiplication by the reciprocal or equivalent common-denominator division
- A1 dep on M2 for conclusion to $4\frac{1}{5}$ from correct working
- Use of decimals scores no marks