Foundation June 2023 Paper 3 Q28
28
(a) Write \(\quad (9 \times 10^4) : (4.5 \times 10^6) \quad\) in the form \(1 : n\) where \(n\) is an integer. (2)
(b) Write the following numbers in order of size.
Start with the smallest number.\[5.625 \times 10^4 \qquad 5625 \qquad 56\,250 \times 10^{-3} \qquad 0.005\,625 \times 10^5\] (2)
Start with the smallest number.\[5.625 \times 10^4 \qquad 5625 \qquad 56\,250 \times 10^{-3} \qquad 0.005\,625 \times 10^5\] (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| 1 : 50 | M1 | for an equivalent ratio eg 9 : 450 or \(9 : 4.5 \times 10^2\) or 90000 : 4500000 oe or for \(4500000 \div 90000\) or \(\dfrac{4500000}{90000}\ (=50)\) |
| A1 | For 1 : 50, accept \(n = 50\) |
| Answer | Mark | Mark scheme |
|---|---|---|
| \(56250 \times 10^{-3}\) \(0.005625 \times 10^5\) 5625 \(5.625 \times 10^4\) | M1 | for writing numbers correctly in a common format eg 56250, 56.25, 562.5 or a correct list with one error or correct list but in reverse order |
| A1 | for correct list |
Additional guidance
Count an omission as one error.
Accept alternative indications of the correct order.