O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2014 · Q812 Marks

T = 2π√(h/g)

(a)(i)Find T when h = 125 and g = 981.[1]
(a)(ii)Make h the subject of the formula.[3]
(b)Solve the equation 45 – (p + 3) = 2p.[2]
(c)Solve the equation (2x-3)/4 + (5-x)/3 = 0.[3]
(d)Solve the equation 3y² + 11y + 4 = 0. Give your answers correct to 2 decimal places.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

[1] 2.24
[3] (h =) T²g / (4π²) oe
[3] M1 for T² = 4π²h / g oe and M1 for any correct transposition at any stage
[2] 14
[2] B1 for 42 or 16 or M1 for 45 - p - 3 = 2p
[3] -5.5 oe
[3] M1 for 3(2x-3)+4(5 – x) oe soi and M1 for 6x - 4x = 9 - 20 soi oe
[3] -0.41 -3.26
[3] B1 for √(11² - 4*3*4) soi and B1 for (-11 ± √their73) / (2*3) After B1 or B0 so far M1 for both real values of (p ± √q)/r

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 12 marks.

Source

O-Level Mathematics, Oct/Nov 2014 Paper 2 Variant 2, question 8.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content