The document contains several math and geometry problems involving equations, inequalities, angles, matrices, probability, and sums. It asks the reader to shade regions defined by inequalities, find values of variables by solving equations, calculate angles and intercepts, find inverse matrices, compute probabilities, and evaluate sums.

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5. gcmpb
Y
-4
2x
6
=
y
y=
-x
+6
O 1 2 6 X
y ≤ -x + 6
-4 y ≥ 2x - 4
x=1 x>1
3 marks
shade the region

6. gcmpb
Y
-4
2x
6
=
y
y=
-x
+6
O 1 2 6 X
y ≤ -x + 6
-4 y ≥ 2x - 4
x=1 x>1
3 marks
shade the region

7. gcmpb

8. gcmpb
x4 : g + 2h = 1
4g – 3h = - 18
4g + 8h = 4
- 11h = - 22
h=2
g + 2(2) = 1
h
g=-3
calculate the value of g and f 4 marks

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11. solve the equation using factorisation
gcmpb
4 marks

12. solve the equation using factorisation
gcmpb
4 marks

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14. identify angle between UV and RSTU
1 mark
gcmpb

15. calculate angle between UV and RSTU
2 marks
gcmpb

16. calculate angle between UV and RSTU
2 marks
gcmpb

17. gcmpb

18. gcmpb
Y
M(-3,7) K KL parallel to MN
fin
dt KL : 2x + y = 4
he
eq
ua L KL : y = - 2x + 4
tio
M N n mKL = - 2
N
O X
mMN = - 2
MN : y = mx + c
MN : 7 = - 2 (- 3) + c
c=1 3 marks
MN : y = - 2x + 1

19. gcmpb
Y
M(-3,7) K
L find the x-intercept MN
N (x,0)
O X
MN : 0 = - 2x + 1
x = 1/2
2 marks
MN : y = - 2x + 1

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all some True statement
some
1 mark
2 marks

27. general conclusion
1 mark
gcmpb

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Write two implications
2 marks

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30. gcmpb
10 cards in 2 boxes
A card picked random from each boxes
Probability both cards labelled “number”

31. gcmpb
10 cards in 2 boxes
A card picked random from each boxes
1 card labelled “number” & other labelled “letter”

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34. matrix A gcmpb
identity matrix
matrix A-1

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matrix A-1

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40. Distance (km) gcmpb
Town B
Town A
Time (min)

41. Distance (km) gcmpb
Town B
Town A
Time (min)

42. Distance (km) gcmpb
Town B
Town A
Time (min)

43. Distance (km) gcmpb
Town B
Town A
Time (min)

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65. gcmpb
θ

66. gcmpb
θ
θ
θ

67. gcmpb
θ cos θ
cos 650

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81. gcmpb
∑ ∑

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