Find the root of the equation 2x\(^2\) - 3x - 2 = 0

A. x = -2 or 1/2

B. x = -2 or1

C. x = -2 or 2

D. x = -1 or 2

E. x = -1/2 or 2

What value of k makes the given expression a perfect square ? m\(^2\) - 8m + k = 0

A. 2

B. 4

C. 8

D. 16

E. 64

If log\(_{10}\) q = 2.7078, what is q?

A. 5102

B. 849.9

C. 510.2

D. 84.99

E. 51.02

Cos x is negative and sin x is negative.Which of the following is true of x?

A. 0^o < x < 90^o

B. 90^o < x <180^o

C. 180^o < x < 270^o

D. 270^o < x <360^o

E. -90^o < x <90^o

Simplify 0.63954 ÷ 0.003 giving your answer correct to two significant figures

A. 213.18

B. 213.00

C. 213

D. 210

E. 21

If log\(_{10}\) a = 4; what is a?

A. 0.4

B. 40

C. 400

D. 1000

E. 10000

A student measured the length of a room and obtained the measurement of 3.99m. If the percentage error of is measurement was 5% and his own measurement was smaller than the length , what is the length of the room?

A. 3.78m

B. 3.80m

C. 4.18m

D. 4.20m

E. 4.788m

When an aeroplane is 800m above the ground, its angle of elevation from a point P on the ground is 30o. How far is the plane from P by line of sight?

A. 400m

B. 800m

C. 1500m

D. 1600m

E. 1700m

Convert 35 to a number in base two

A. 1011_two

B. 10011_two

C. 100011_two

D. 110010_two

E. 110001_two

The nth term of a sequence is represented by 3 x 2^(2-n). Write down the first three terms of the sequence

A. ³/₂, 3, 6

B. 6, 3, ³/₂

C. ³/₂, 3, ¹/₃

D. ²/₃, 3, ⁸/₃

E. ³/₂, 0, 6

Find the number whose logarithm to base 10 is 2.6025

A. 0.0004

B. 4.004

C. 40.04

D. 400.4

E. 4004

A piece of cloth was measured as 6.10m. If the actual length of the cloth is 6.35, find the percentage error, correct to 2 decimal places

A. 3.05%

B. 3.95%

C. 15.00%

D. 25.00%

E. 39.30%

Simplify \(\frac{8^{\frac{2}{3}}*27^{\frac{-1}{3}}}{64^{\frac{1}{3}}}\)

A. -3

B. \(\frac{1}{9}\)

C. \(\frac{1}{3}\)

D. \(\frac{27}{8}\)

E. 4