4MA0 Higher June 2017 Paper 4 Q7
7
(a) Show that \(\dfrac{7}{12} + \dfrac{3}{8} = \dfrac{23}{24}\) (2)
(b) Show that \(1\dfrac{2}{3} \times 2\dfrac{1}{15} = 3\dfrac{4}{9}\) (3)
| Scheme | Marks |
|---|---|
| eg. \(\dfrac{14}{24} + \dfrac{9}{24}\) or \(\dfrac{56}{96} + \dfrac{36}{96}\) oe | M1 |
\(\dfrac{14}{24} + \dfrac{9}{24} = \dfrac{23}{24}\) or \(\dfrac{56}{96} + \dfrac{36}{96} = \dfrac{92}{96} = \dfrac{23}{24}\) oe Answer: shown | A1 |
| (2) |
Notes
M1: correct fractions with common denominators and intention to add
A1: dep on M1
| Scheme | Marks |
|---|---|
| \(\dfrac{5}{3} \times \dfrac{31}{15}\) oe | M1 |
| \(\dfrac{1}{3} \times \dfrac{31}{3}\) or \(\dfrac{155}{45}\) oe | M1 |
\(\dfrac{1}{3} \times \dfrac{31}{3} = \dfrac{31}{9}\) or \(\dfrac{155}{45} = \dfrac{31}{9}\) or \(3\dfrac{20}{45}\) oe Answer: shown | A1 |
| (3) | |
| (5 marks) |
Notes
M1: fractions written as correct improper fractions and intention to multiply
M1: correct cancelling or multiplication of numerators and denominators without cancelling
A1: \(\dfrac{31}{9}\) or \(3\dfrac{20}{45}\) dep on M2