GCSE Maths Daily Practice (Foundation)
Mark Scheme — 19 marks total
Foundation TierMarking Instructions
- • Accept equivalent answers unless the mark scheme states otherwise.
- • M marks are for method — award even if the final answer is wrong.
- • A marks are for accuracy — only award if the method mark has been earned.
- • B marks are independent and can be awarded without other marks.
- • Where a range of answers is acceptable, this is indicated in the mark scheme.
Algebra and Number
11 marksSimplify 4x³ × 3x²
Acceptable Answer
12x⁵ (multiply coefficients, add powers)
Solve 3(2x - 1) = 4x + 7
Acceptable Answer
6x - 3 = 4x + 7 → 2x = 10 → x = 5
Expand and simplify (2x + 3)(x - 5)
Acceptable Answer
2x² - 10x + 3x - 15 = 2x² - 7x - 15
Factorise x² - 9x + 20
Acceptable Answer
(x - 4)(x - 5) since -4 × -5 = 20 and -4 + -5 = -9
Write 360 as a product of prime factors.
Acceptable Answer
360 = 2³ × 3² × 5
Calculate 3/4 ÷ 5/8
Acceptable Answer
3/4 × 8/5 = 24/20 = 6/5 = 1⅕
Geometry and Statistics
8 marksCalculate the area of a triangle with base 12cm and height 7cm.
Acceptable Answer
A = ½ × 12 × 7 = 42 cm²
Find the circumference of a circle with radius 5cm. Give your answer to 1 decimal place.
Acceptable Answer
C = 2πr = 2 × π × 5 = 31.4 cm
A right-angled triangle has legs of 5cm and 12cm. Find the hypotenuse.
Acceptable Answer
c = √(5² + 12²) = √(25 + 144) = √169 = 13 cm
The mean of 6 numbers is 8. Five of them are: 5, 7, 9, 10, 11. Find the sixth.
Acceptable Answer
Total = 6 × 8 = 48. Sum of 5 = 42. Sixth = 48 - 42 = 6