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WAEC Mathematics Past Questions & Answers - Page 269

1,341.

If log $_{10}$ x = $\bar{2}.3675$ and log $_{10}$ y = $\bar{2}.9738$ , what is the value of x + y, correct lo three significant figures?

0.117

0.118

0.903

0.944

0.946

View answer & explanation

Correct answer is A

log $_{10}$ x = $\bar{2}.3675$ => x = 0.023

log $_{10}$ y = $\bar{2}.9738$ => y = 0.094

x + y = 0.117

1,342.

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

136^o

120^o

108^o

100^o

96^o

View answer & explanation

Correct answer is D

No explanation has been provided for this answer.

1,343.

In the diagram above, AO is perpendicular to OB. Find x

7.5^o

15^o

22.5^o

30^o

38.6^o

View answer & explanation

Correct answer is D

4x + 3x + 2x + 90 =360° [angle at a point]

9x + 90 = 360°

9x = 360° - 90°

9x = 270

x = 270/9

x = 30°

1,344.

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

20^o

25^o

30^o

35^o

40^o

View answer & explanation

Correct answer is A

< DBC = 35° (base angles of an isosceles triangle)

< CDB = 180° - (35° + 35°)

= 110°

< ADB = 70°; < ADB = 90°

$\therefore$ < BAO = 180° - (70° + 90°)

= 20°

1,345.

The angle of a sector of a circle is 108°. If the radius of the circle is 31/2cm, find the perimeter of the sector

6 3/5cm

6 4/5cm

7 1/10cm

10 2/5cm

13 3/5cm,

View answer & explanation

Correct answer is E

Perimeter of sector = $\frac{\theta}{360°} \times 2\pi r + 2r$

= $\frac{108}{360} \times 2 \times \frac{22}{7} \times \frac{7}{2} + 2(\frac{7}{2})$

= $6 \frac{3}{5} + 7$

= $13 \frac{3}{5} cm$

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