Mr M's OCR (not OCR MEI) Core 1 Answers May 2014

Can anyone remember what question 10 ii was?


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Hi Mr M
For question 8ii) about the line not touching the circle, i drew both the line and circle and showed they couldnt physically touch each other
For 9iii) i used the negitive reciprical of -8 (1/8) for my gradient


How many marks will i lose?

Hey Mr M thank you for this!

If I stupidly used the quadratic formula for question 5(ii) and didn't simplify, but had my inequality signs right, how many marks would I lose?

Also if for question 10(ii) my entire method was correct, but I got an incorrect answer (probably made a silly mistake when substituting) what's the maximum number of marks I will lose?

Mr M's OCR (not OCR MEI) Core 1 Answers May 2014


1. $5(x+1)^2-3$ (4 marks)


2. (i) $2 \sqrt 3$ (1 mark)

(ii) $-8 \sqrt 3$ (2 marks)

(iii) $9 \sqrt 3$ (2 marks)


3. $x=\pm \frac{1}{2}$ (5 marks)


4. (i) (2, 7) (1 mark)

(ii) (1, 5) (1 mark)

(iii) Translation in the negative x direction by 4 units (2 marks)


5. (i) $\frac{1}{3} < x < \frac{11}{6}$ (3 marks)

(ii) $x \leq - \frac{2}{3}$ or $x \geq 5$ (5 marks)


6. (i) $18x^2 - 2x^{-\frac{3}{2}}+5$ (4 marks)

(ii) $36x + 3x^{-\frac{5}{2}}$ (2 marks)


7. (i) (2, 1) (2 marks)

(ii) $x+2y-19=0$ (5 marks)


8. (i) Verify stationary point (5 marks)

(ii) Minimum (2 marks)

(iii) (0, -2) (2 marks)


9. (i) Show circle below x axis (3 marks)

(ii) $-8 < k < -2$ (5 marks)

(iii) Prove line does not meet circle (4 marks)


10 (i) Sketch curve. Coordinates (-2, 0) (0, -12) (1.5, 0) (3 marks)

(ii) $8x+y+13=0$ (9 marks)

on question 10 i found the tangent equation but i have the wrong gradient how many marks would i get do you think?