GCSE Maths Foundation Paper 2: mark scheme
Every answer, how the marks are given, a link to its step-by-step solution and to the lesson that teaches it
M = a method mark (right working), A = an accuracy mark (the right answer, after the method), B = a mark on its own. A right answer gets all the marks of the part. A wrong answer: a mark for each right step of the working.
| Part | Answer | Marks | How the marks are given | Solution |
|---|---|---|---|---|
| 1 | 7.4851 ≈ 7.49 | 1 | B1 the right answer: 7.4851 ≈ 7.49 | Solved step by step · Learn it |
| 2 | 4 | 1 | B1 the right answer: 4 | Solved step by step · Learn it |
| 3 | 0.004726 ≈ 0.0047 | 1 | B1 the right answer: 0.004726 ≈ 0.0047 | Solved step by step · Learn it |
| 4(a) | 42 | 2 | M1 Percent A1 the right answer: 42 | Solved step by step · Learn it |
| 4(b) | 65 | 2 | M1 Write the percent as a fraction A1 the right answer: 65 | Solved step by step · Learn it |
| 5 | x = 120 | 3 | M1 Find what we know M1 Name the unknown A1 the right answer: x = 120 | Solved step by step · Learn it |
| 6 | A ≈ £3311.44 | 3 | M1 Read the numbers M1 Find the rule A1 the right answer: A ≈ £3311.44 | Solved step by step · Learn it |
| 7 | density = 0.75 g/cm³ | 2 | M1 Write the rule A1 the right answer: density = 0.75 g/cm³ | Solved step by step · Learn it |
| 8 | 3.25 hours | 2 | M1 Find what we know A1 the right answer: 3.25 hours | Solved step by step · Learn it |
| 9(a) | A ≈ 176.63 cm2 | 2 | M1 Use the rule A1 the right answer: A ≈ 176.63 cm^2 | Solved step by step · Learn it |
| 9(b) | C ≈ 56.52 cm | 2 | M1 Use the rule A1 the right answer: C ≈ 56.52 cm | Solved step by step · Learn it |
| 10 | V ≈ 339.12 cm3 | 2 | M1 Circle times height A1 the right answer: V ≈ 339.12 cm^3 | Solved step by step · Learn it |
| 11 | c ≈ 10.6 | 3 | M1 Name the sides M1 Squares on the sides A1 the right answer: c ≈ 10.6 | Solved step by step · Learn it |
| 12 | x ≈ 9.6 | 3 | M1 Name the sides M1 Choose the ratio A1 the right answer: x ≈ 9.6 | Solved step by step · Learn it |
| 13 | V = 126 cm3 | 2 | M1 Base times length A1 the right answer: V = 126 cm^3 | Solved step by step · Learn it |
| 14 | £300 = £381 | 2 | M1 Write the rate A1 the right answer: £300 = £381 | Solved step by step · Learn it |
| 15 | Deal B is the better buy | 3 | M1 Write both as fractions M1 Divide to get 1 at the bottom A1 the right answer: Deal B is the better buy | Solved step by step |
| 16 | 35.5 ≤ length < 36.5 | 2 | M1 Find the step A1 the right answer: 35.5 ≤ length < 36.5 | Solved step by step · Learn it |
| 17 | mean ≈ 8.5 | 3 | M1 Find the midpoints M1 Multiply m × f A1 the right answer: mean ≈ 8.5 | Solved step by step · Learn it |
| 18 | P(yes) = 710 | 2 | M1 Make the table A1 the right answer: P(yes) = 7/10 | Solved step by step · Learn it |
| 19 | ≈ 180 | 2 | M1 The fraction in the sample A1 the right answer: ≈ 180 | Solved step by step · Learn it |
| 20 | x = 5 | 3 | M1 Open the brackets M1 Get x on one side A1 the right answer: x = 5 | Solved step by step · Learn it |
| 21 | w = Al | 2 | M1 w on the left A1 the right answer: w = A/l | Solved step by step · Learn it |
| 22 | (x + 3)(x + 4) | 2 | M1 Find two numbers A1 the right answer: (x + 3)(x + 4) | Solved step by step · Learn it |
| 23 | x = 10 | 2 | M1 Match the sides A1 the right answer: x = 10 | Solved step by step · Learn it |
| 24 | one angle = 36° | 2 | M1 Walk around the shape A1 the right answer: one angle = 36° | Solved step by step · Learn it |
| 25 | P' = (8, −4) | 1 | B1 the right answer: P' = (8, −4) | Solved step by step · Learn it |
| 26 | (−1, −4), (0, −1), (1, 2) | 3 | M1 table values right (−4, −1, 2, 5, 8) M1 at least 4 points plotted right A1 a ruled straight line through them | Solved step by step · Learn it |
| 27 | 200 and 250 | 2 | M1 Count the parts A1 the right answer: 200 and 250 | Solved step by step · Learn it |
| 28 | 10% | 2 | M1 Find the change A1 the right answer: 10% | Solved step by step · Learn it |
| 29 | 7.2 × 109 | 2 | M1 Group the parts A1 the right answer: 7.2 × 10^9 | Solved step by step · Learn it |
| 30 | 20 km | 2 | M1 Multiply both sides A1 the right answer: 20 km | Solved step by step · Learn it |
| 31 | a25 = 151 | 2 | M1 Find the difference A1 the right answer: a_25 = 151 | Solved step by step · Learn it |
| 32 | A = 58.5 cm2 | 3 | M1 Two make a parallelogram M1 Use the rule A1 the right answer: A = 58.5 cm^2 | Solved step by step · Learn it |
| 33 | P(tea only) = 1330 | 2 | M1 Start in the middle A1 the right answer: P(tea only) = 13/30 | Solved step by step · Learn it |
| 34 | x ≈ 3.3 m | 3 | M1 Name the sides M1 Choose the ratio A1 the right answer: x ≈ 3.3 m | Solved step by step · Learn it |
| 35 | 55% | 2 | M1 Times it happened over times tried A1 the right answer: 55% | Solved step by step · Learn it |
Estimated grade
Add up your marks out of 80. This is our rough guide for one paper, not an official boundary: real boundaries change every year. Foundation papers lead to grades 1 to 5, Higher papers to 3 to 9.
| Grade | Marks from |
|---|---|
| 5 | 59 |
| 4 | 46 |
| 3 | 34 |
| 2 | 21 |
| 1 | 9 |
| U | 0 |
Steply practice papers are our own questions in the style of GCSE Mathematics papers in England (layout and timing as AQA 8300); they are not official and not endorsed by AQA or any exam board. Official past papers: your exam board's website.