Leap 1

Question 1

1. Conics (finding eccentricity)

Answer 1

good

Question 2

2. Complex (conjugate properties)

Answer 2

silly mistake

Question 3

3. Curve sketching [f(lxl)]

Answer 3

good

Question 4

4. Mechanics ( basic circular motion equations)

Answer 4

bit iffy

Question 5

5. Integration (inverse functions)

Answer 5

now i know

Question 6

6. Polynomials ( Finding values of coefficients given roots)

Answer 6

lucky guess

Question 7

7. Polynomials (manipulating sum of roots and product of root equations etc)

Answer 7

didn’t get it the fastest way

Question 8

8. Curve sketching (Finding asymptotes)

Answer 8

lucky guess

Question 9

9. P&C (Marbles question)

Answer 9

failed

Question 10

10. Integration (properties)

Answer 10

nope

Question 11

11. a) Complex ( write in a+ib form, modulus prob)

Answer 11

eventually

Question 12

11. b) Integration (partial fractions)

Answer 12

great

Question 13

11.c) Integration (reverse chain rule)

Answer 13

great

Question 14

11.d) Complex ( write in mog-arg, find the smallest integer)

Answer 14

forgot key things

Question 15

11.e) Integration ( by parts)

Answer 15

yup

Question 16

12. a) Complex ( write in a+ib form, if z is real show, suppose and prove)

Answer 16

eventually

Question 17

12.b) Polynomials (Find roots if in GP)

Answer 17

silly mistake

Question 18

12.c) Curve sketching (Inverse function, discontinuous curve,lyl=lf(x)l

Answer 18

kind of get it now

Question 19

13.a) Integration (t sub)

Answer 19

silly mistake

Question 20

13.b) Conics (deriving tangent gradient, prove M lies somewhere)

Answer 20

failed but get it now

Question 21

13.c) Volumes (by shells)

Answer 21

good and silly mistake

Question 22

13.d) Complex ( Geometric shapes on argand diagram)

Answer 22

Forgot the other answer

Question 23

14.a) Circle Geometry (two circles, cyclic quad)

Answer 23

Great

Question 24

14.b) Conics (find lamder, sketching ellipse)

Answer 24

axb<0, cause must have opposite signs, forgot directrices equation

Question 25

14.c) Mechanics (basic question)

Answer 25

Great. using bounds

Question 26

15.a) Integration ( Reduction formula, factorial stuff, I4)

Answer 26

no familar with ii)

Question 27

15.b) Polynomials (finding new equation with roots…)

Answer 27

didn’t attempt

Question 28

15.c) Complex (Finding roots of z to the power=1, factorizing with result, deduce x.x.x.x=something)

Answer 28

failed to get other roots and forgot what to do if the angle exceeds principle argument…
just don’t know how to do

Question 29

16.a) Volumes ( polygon shape area, limiting value of volume as n-> something

Answer 29

not quite

Question 30

16.b) Inequalities (given a function, prove things, polynomials- show expression for coefficients, find roots)

Answer 30

hard