Year : 
2014
Title : 
Mathematics (Core)
Exam : 
JAMB Exam

Paper 1 | Objectives

41 - 47 of 47 Questions

# Question Ans
41.

From the venn diagram above, the shaded parts represent

A. (P\(\cap\)Q)\(\cup\)(P\(\cap\)R)

B. (P\(\cup\)Q)\(\cap\)(P\(\cap\)R)

C. (P\(\cup\)Q)\(\cup\)(P\(\cup\)R)

D. (P\(\cap\)Q)\(\cup\)(P\(\cup\)R)

Detailed Solution

There is an explanation video available below.
42.

In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.

A. 91o

B. 89o

C. 37o

D. 19o

Detailed Solution

There is an explanation video available below.
43.

From the figure above, what is the value of p?

A. 135o

B. 90o

C. 60o

D. 45o

Detailed Solution

There is an explanation video available below.
44.

Find the value of x in the figure above

A. 20\(\sqrt{3}\)cm

B. 10\(\sqrt{3}\)cm

C. 5\(\sqrt{3}\)cm

D. 4\(\sqrt{3}\)cm

Detailed Solution

There is an explanation video available below.
45.

In the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A. y = x + 5

B. y = -x + 5

C. y = x - 5

D. y = -x - 5

Detailed Solution

(x1, y1) = (0,5)

(x2, y2) = (5, 0)

Using \(\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}\)

\(\frac{y - 5}{0 - 5} = \frac{x - 0}{5 - 0}\)

\(\frac{y - 5}{-5} = \frac{x}{5}\)

5(y - 5) = -5x

y - 5 = -x

x + y = 5

y = -x + 5
There is an explanation video available below.
46.

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A. N42,000

B. N18,000

C. N16,000

D. N12,000

Detailed Solution

There is an explanation video available below.
47.

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

A. 48 cm

B. 40 cm

C. 43 cm

D. 45 cm

Detailed Solution

Perimeter of the sector = \(2r + \frac{\theta}{360°} \times 2\pi r\)
= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)
= \(21 + 22\)
= 43 cm
There is an explanation video available below.
41.

From the venn diagram above, the shaded parts represent

A. (P\(\cap\)Q)\(\cup\)(P\(\cap\)R)

B. (P\(\cup\)Q)\(\cap\)(P\(\cap\)R)

C. (P\(\cup\)Q)\(\cup\)(P\(\cup\)R)

D. (P\(\cap\)Q)\(\cup\)(P\(\cup\)R)

Detailed Solution

There is an explanation video available below.
42.

In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35o, calculate the size of angle KMN.

A. 91o

B. 89o

C. 37o

D. 19o

Detailed Solution

There is an explanation video available below.
43.

From the figure above, what is the value of p?

A. 135o

B. 90o

C. 60o

D. 45o

Detailed Solution

There is an explanation video available below.
44.

Find the value of x in the figure above

A. 20\(\sqrt{3}\)cm

B. 10\(\sqrt{3}\)cm

C. 5\(\sqrt{3}\)cm

D. 4\(\sqrt{3}\)cm

Detailed Solution

There is an explanation video available below.
45.

In the figure above, what is the equation of the line that passes the y-axis at (0,5) and passes the x-axis at (5,0)?

A. y = x + 5

B. y = -x + 5

C. y = x - 5

D. y = -x - 5

Detailed Solution

(x1, y1) = (0,5)

(x2, y2) = (5, 0)

Using \(\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}\)

\(\frac{y - 5}{0 - 5} = \frac{x - 0}{5 - 0}\)

\(\frac{y - 5}{-5} = \frac{x}{5}\)

5(y - 5) = -5x

y - 5 = -x

x + y = 5

y = -x + 5
There is an explanation video available below.
46.

The pie chart above shows the monthly distribution of a man's salary on food items. If he spent N8,000 on rice, how much did he spent on yam?

A. N42,000

B. N18,000

C. N16,000

D. N12,000

Detailed Solution

There is an explanation video available below.
47.

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

A. 48 cm

B. 40 cm

C. 43 cm

D. 45 cm

Detailed Solution

Perimeter of the sector = \(2r + \frac{\theta}{360°} \times 2\pi r\)
= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)
= \(21 + 22\)
= 43 cm
There is an explanation video available below.