O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2022 · Q97 Marks
Kate thinks of a number, n. She subtracts 8 from the number and multiplies the result by 3. The answer is 11 less than the number she thought of.
- (a)Form an equation in n and solve it to find Kate's number.[4]
- (b)Write as a single fraction in its simplest form. x²-4 / 2 ÷ x²+2x / 4[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [4] (a) [n =] 6.5 oe nfww; B1 for 3(n-8) oe or n-11 soi M1 for correct rearrangement of their four-term equation to isolate n 3n-n=-11+24 SC1 for answer 11/2 or 35/3 or 11.66 to 11.7
- [3] (b) 2(x-2)/x or (2x-4)/x or 2 - 4/x final answer; B1 for (x+2)(x-2) seen B1 for x(x+2) seen
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