ANGLES A2

Find w in the figure below.

Solution

w +w + w + 90⁰ = 180⁰

3w + 90⁰ = 180⁰

3w = 180⁰ - 90⁰

3w = 90⁰

3w = 90⁰

3        3

w = 30⁰

Hence w = 30⁰

INTEGERS A2

Evaluate -10 – 30.

Solution

I have borrowed 10sh on Monday. I borrow 30sh on Tuesday. The total money I am required to pay will be a total of 10 and 30. Because it is a debt, the sign will remain to be negative.

Hence -10 – 30= -40

TRY THIS…………..

Evaluate -20 – 50

ALGEBRA B44

Simplify d + d + t

Solution

= d + d + t  [remember d + d = 2d]

= 2d + t

TRY THIS…………..

Simplify m + m + p

INTEGERS A1

Evaluate 7 – 10.

Solution

I have a debt of 10sh. If I pay 7sh, the debt won’t go off. It will decrease from -10 to -3.

Hence 7 – 10 = -3

TRY THIS…………..

Evaluate 3 – 10

ALGEBRA B43

Evaluate 3a + b if a= 6 and b = 10.

Solution

= 3a + b

= (3 x a) + b

= (3 x 6) + 10

= 18 + 10

= 28

∴3a + b = 28 answer

TRY THIS……………

Evaluate 3a + b if a= 8 and b = 20.

AREA OF TRAPEZIUM A2

Find the area of trapezium below.

Solution

Let h=height, a=upper side, b= lower side.

h=10m, a=8m, b=3m.

Area = ½ x h x (a + b)

Area = ½ x 10 x (8 + 3)

Area = 1 x ⁵10 x 11

           ₁2

Area = 1 x 5 x 11

Area = 55

Hence area is 55m²

FRACTIONS A2