Foundation January 2021 Paper 2 Q4
4 A rectangle is made from 30 small coloured square tiles.
There are yellow tiles, blue tiles and red tiles.
30% of the rectangle is made from yellow tiles.
\(\dfrac{1}{3}\) of the rectangle is made from blue tiles.
The rest of the rectangle is made from red tiles.
(a) Work out the number of red tiles. (3)
(b) Put the following numbers in order of size.
Start with the smallest number.
0.76 25% 0.0766 8% 0.026 (2)
Start with the smallest number.
0.76 25% 0.0766 8% 0.026 (2)
| Scheme | Marks |
|---|---|
0.3 × 30 (= 9) or \(\dfrac{1}{3} \times 30 (= 10)\) or \(\dfrac{1}{3} + \dfrac{30}{100}\left(= \dfrac{19}{30}\right)\) oe or 0.333…+ 0.3(=0.63…) or 33.3…(%) + 30(%)oe (=63.3…)(%) | M1 |
“9” and “10” or 19 shaded squares on diagram or \(\left(1 - \text{“}\dfrac{19}{30}\text{”}\right) \times 30\) or (1 – 0.63…)× 30 | M1 |
| 11 | A1 |
| (3) |
Notes
M1: Allow 9 squares clearly indicated for 30% or 10 squares clearly indicated for \(\dfrac{1}{3}\)
M1: Allow squares with crosses or other indication of ‘shading’ such as ‘\(y\)’ or ‘\(b\)’
| Scheme | Marks |
|---|---|
| eg 76% (25%) 7.66% (8%) 2.6% or (0.76) 0.25 (0.0766) 0.08 (0.026) | M1 |
| 0.026, 0.0766, 8%, 25%, 0.76 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: All values written as % or all written as decimals or 4 values in correct order or all values in correct reverse order
A1: Any form