MARK SCHEME – GCSE MATHEMATICS – 8300/3H – JUNE 2022

5

Q Answer Mark Comments

1 4.301 B1

Q Answer Mark Comments

2















−

10

7

B1

Q Answer Mark Comments

3(a) D B1

Q Answer Mark Comments

3(b) B B1

MARK SCHEME – GCSE MATHEMATICS – 8300/3H – JUNE 2022

6

Q Answer Mark Comments

4

Alternative method 1

tan identified M1 oe eg tan–1

tan x =

4

10

 or tan x =

2

5

or tan x = 2.5

M1dep

oe eg tan–1

4

10

or 90 – tan–1

10

4

[68, 68.2] A1 SC1 [21.8, 22]

Alternative method 2

sin x =

2 2

4 10

10

+

or

cos x =

2 2

4 10

4

+

M2

oe eg sin x =

116

10

or sin–1

2 2

4 10

10

+

or cos x =

4

116

 or cos–1

2 2

4 10

4

+

or 90 – sin–1

2 2

4 10

4

+

or 90 – cos–1

2 2

4 10

10

+

[68, 68.2] A1 SC1 [21.8, 22]

Additional Guidance

Accept 10.77 or 10.8 or

2 29 for

116

Tan can be identified by, for example, circling TOA in SOHCAHTOA

Answer from accurate drawing M0M0A0

sin x =

10 sin 90

116

 M2

(x =) tan 2.5 or (x =) tan 0.4 or (x =) tan

−

     

1

10

4

 unless recovered M1M0A0

tan =

10

4

 or tan =

4

10

 or tan x =

4

10

 with no further correct working M1M0A0

MARK SCHEME – GCSE MATHEMATICS – 8300/3H – JUNE 2022

7

Q Answer Mark Comments

5

3 + 2 or 5

and

5

2

1

+ 3

2

1

or 9

or

5

2

1

– 3 or 2

2

1

and

3

2

1

– 2 or 1

2

1

or

4

M1

oe eg 180 + 120 or 300

 and

 330 + 210 or 540

implied by 5

2

1

+ 3

2

1

– 3 – 2

9 5 −

5

 or

+

+

1 1 2 1

2 2

3 2

 or

5

4

 or 0.8

or

3 2

2

1

3

2

1

5

+

+

(× 100) or

5

9

(× 100)

or 1.8 (× 100)

or 180

M1dep

oe eg

3 2

3 2

2

1

3

2

1

5

+

+ − −

 eg

540 300

300

−

 or

240

300

or 1.8 – 1

80 A1

Additional Guidance

Allow working fully in minutes but units must be consistent in a single

calculation

eg 2 h 30 and 1 h 30

eg 3 + 2 = 5 and 330 + 210 = 540

eg 3 + 120 and 330 + 3

2

1

unless recovered

M1

M1

M0

3 + 2 = 6, 5

2

1

+ 3

2

1

= 9, 9 – 6 = 3, 3 = 50% M1M1A0

3 + 2 = 6, 5

2

1

+ 3

2

1

= 9, answer 50% (3 is implied) M1M1A0

9 – 6 = 3, 3 = 50% (no method shown for 6) M0M0A0