4MA0 Foundation January 2014 Paper 2 Q12
12
(a) Write these numbers in order of size.
Start with the smallest number. \[65\% \qquad \dfrac{5}{8} \qquad 0.66 \qquad \dfrac{2}{3} \qquad \dfrac{3}{5}\] (3)
Start with the smallest number. \[65\% \qquad \dfrac{5}{8} \qquad 0.66 \qquad \dfrac{2}{3} \qquad \dfrac{3}{5}\] (3)
(b) Work out the square root of \(\dfrac{1}{16}\) giving your answer as a fraction. (1)
(c) Show that \(\dfrac{11}{12} - \dfrac{3}{4} = \dfrac{1}{6}\) (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{3}{5}\) \(\dfrac{5}{8}\) 65% 0.66 \(\dfrac{2}{3}\) | B3 |
| (3) |
Notes
B3: Accept 0.6, 0.625, 0.65, 0.66, \(0.6\dot{6}\)
If not B3 then award B2 for.....
• 3 numbers in a correct consecutive sequence
• or \(\tfrac{3}{5}\) & \(\tfrac{5}{8}\) & \(\tfrac{2}{3}\) correctly converted to decimals or %’s (at least 3 dp rounded or truncated)
• or all 5 numbers in correct descending order.
If not B2 then B1 for
• 2 fractions correctly converted to decimals or %’s (at least 3 dp rounded or truncated).
| Scheme | Marks |
|---|---|
| \(\dfrac{1}{4}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\dfrac{11a}{12a} - \dfrac{9a}{12a} = \dfrac{2a}{12a}\) | M1 |
| A1 | |
| (2) | |
| (Total 6 marks) |
Notes
M1: for \(\dfrac{11a}{12a}\), \(\dfrac{9a}{12a}\)
A1: for \(\dfrac{2a}{12a}\) (dep on M1) \(a\) = a positive integer
In this part a correct answer does not on its own imply a correct method.