In the diagram |PS| is a diameter of circle PQRS. |PQ| = |QR| and ∠RSP = 74^o. Find ∠QPS

A. 32^o

B. 37^o

C. 48^o

D. 53^o

E. 74^o

A ladder 6m long leans against a vertical wall so that it makes an angle of 60^o with the wall. Calculate the distance of the foot of the ladder from the wall

A. 3m

B. 6m

C. 2√3m

D. 3√3m

E. 6√3m

The bearing of Q from P is 122^o, what is the bearing of P from Q?

A. 212^o

B. 238^o

C. 248^o

D. 292^o

E. 302^o

Cos 57^o has the same value as

A. sin 213^o

B. -cos 303^o

C. sin 147^o

D. cos 123^o

E. cos237^o

The median of the distribution is

A. 9.5kg

B. 11kg

C. 67kg

D. 65.5kg

E. 68kg

The percentage of the students with mass less than 69kg is

A. 56%

B. 62.5%

C. 68%

D. 70%

E. 87.5%

The mean heights of the three groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m respectively. Find the mean height of the students

A. 1.52m

B. 1.53m

C. 1.54m

D. 1.55m

E. 1.56m

Two cards are drawn one after the other with replacement from a well-shuffled ordinary deck of 52 cards containing four Aces. Find the probability that they are both Aces

A. 1/221

B. 1/169

C. 1/52

D. 1/26

E. 1/13

Find the probability that a number selected from the number 30 to 50 inclusive is a prime

A. 1/4

B. 5/21

C. 2/7

D. 3/10

E. 1/3

The length of an exercise book is given as 20cm correct to the nearest centimeter. In which of the following ranges of possible measurement does the actual length lie?

A. 19.5 - 20.4cm

B. 19.1 - 20.9cm

C. 19.9 - 20.1cm

D. 19.95 - 20.05cm

E. 19 - 21cm