Find the area of the figure below: 60cm 2 B. 90cm 2 C. 72cm 2 D. 105cm 2 E. 135cm 2

The correct option is D.

32. What is the value of two right angles?

A right angle is $90^\circ$.

The correct option is B.

33. How many lines of symmetry has a rectangle?

A rectangle has two lines of symmetry: one horizontal line passing through the midpoints of its vertical sides, and one vertical line passing through the midpoints of its horizontal sides.
The correct option is C.

34. This year written in Roman numeral is A. AMXV B. MMVC C. MMXV D. N E. MCMXV

Often, "this year" refers to a recent year like 2015 in past papers. Let's assume "this year" refers to 2015.

M = 1000
MM = 2000
X = 10
V = 5
So, $2015 = 2000 + 10 + 5 = \text{MMXV}$.
The correct option is C.

35. If 500 oranges were shared among Bill, Jill and Pearl in the ratio 3:3:4 respectively, what is Pearl's share?

Pearl's share is 4 parts out of 10.

The correct option is D.

36. Which of the following pairs of angles is supplementary?

Supplementary angles are two angles whose sum is $180^\circ$.

A. $30^\circ, 60^\circ \implies 30^\circ + 60^\circ = 90^\circ$ (complementary)
B. $30^\circ, 60^\circ \implies 30^\circ + 60^\circ = 90^\circ$ (complementary)
C. $80^\circ, 100^\circ \implies 80^\circ + 100^\circ = 180^\circ$ (supplementary)
D. $190^\circ, 80^\circ \implies 190^\circ + 80^\circ = 270^\circ$
E. $30^\circ, 150^\circ \implies 30^\circ + 150^\circ = 180^\circ$ (supplementary)
Both C and E are correct. Assuming only one answer is expected, we select the first one.
The correct option is C.

37. A bicycle wheel has a diameter of 42cm. Find its circumference (take $\pi = \frac{22}{7}$).

where $C$ is the circumference, $\pi$ is pi, and $d$ is the diameter.

The correct option is B.

38. A, B and C are three houses in this order along a street in Lagos. The distance from A to B is 120m and the distance from B to C is 2/3 of the distance from A to B. What is the distance between A and C?

Distance from A to B (AB) = 120 m.

The correct option is E.

39. The difference between two numbers is 457. If the smaller number is 610, what is the larger number?

The difference is given by $L - S = 457$.

The correct option is C.

40. Find the area of the figure below:

Let the rectangle have width $w$ and height $h$.
Let the triangle have base $b$ and height $h$.
From the visual, it appears that the base of the triangle is equal to the width of the rectangle ($b=w$), and their heights are also equal.

Area of rectangle = $w \times h$
Area of triangle = $\frac{1}{2} \times b \times h = \frac{1}{2} \times w \times h$
Total Area = Area of rectangle + Area of triangle

If we assume the rectangle has dimensions $10 \text{ cm} \times 6 \text{ cm}$ (so $w=10, h=6$):
Area of rectangle = $10 \text{ cm} \times 6 \text{ cm} = 60 \text{ cm}^2$.
Area of triangle = $\frac{1}{2} \times 10 \text{ cm} \times 6 \text{ cm} = 30 \text{ cm}^2$.
Total Area = $60 \text{ cm}^2 + 30 \text{ cm}^2 = 90 \text{ cm}^2$.
This matches option B.
The correct option is B.

A woman went to the market to buy some articles. She bought 3 dozen cups and $1\frac{1}{2}$ gross of plates. How many articles did she buy altogether?

1 dozen = 12 articles.
3 dozen cups = $3 \times 12 = 36$ cups.

1 gross = 12 dozen = $12 \times 12 = 144$ articles.
$1\frac{1}{2}$ gross of plates = $1.5 \times 144$ plates.

Total articles = cups + plates

The correct option is E.

What is the HCF of 21, 63, 91 and 105?

The only prime factor common to all four numbers is 7. The lowest power of 7 is $7^1$.

The correct option is A.