(a) In a class of 80 students,\(\frac{3}{4}\) study Biology and \(\frac{3}{5}\) study Physics.

If each student studies at least one of the subjects: (i) draw a Venn diagram to represent this information

(ii) how many students study both subjects

(iii) find the fraction of the class that study Biology but not Physics.

(b) Johnson and Jocatol Ltd. owned a business office with floor measuring 15m by 8 m which was to be carpeted.

The cost of carpeting was Gh¢ 890.00 per square metre. If a total of GH 216,120.00 was spent on painting and carpeting, how much was the cost of painting?

If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point

• A. 2, ½
• B. ½ , 2
• C. 1, ½
• D. 0, 2

Correct 0.04945 to two significant figures

• A. 0.040
• B. 0.049
• C. 0.050
• D. 0.49

The table above shows the marks obtained by 100 pupils in a test. Find the upper class boundary of the class containing the third quartile.

• A. 13.0
• B. 16.0
• C. 16.5
• D. 22.5

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

• A. 135°
• B. 90°
• C. 60°
• D. 45°

Find the tax on an income of N20,000 if no tax is paid on the first N10,000 and tax is paid at N50 in N1000 on the next N5000 and at N55 in N1000 on the remainder

• A. N500
• B. N552
• C. N255
• D. N525

Find correct to 3 decimal places (\(\frac{1}{0.05}\) + \(\frac{1}{5.005}\)) - (0.05 x 2.05)

• A. 99.998
• B. 98.999
• C. 89.899
• D. 9.998

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

• A. 360
• B. 720
• C. 2520
• D. 5040

(a) Using the method of completing the square, solve, correct to 2 decimal places, \(\frac{x - 2}{4} = \frac{x + 2}{2x}\).

(b)

In the diagram, PQRST is a circle with centre O. If PS is a diameter, RS//QT, and < QTS = 52°, find :

(i) < SQT ; (ii) < PQT.

Simplify \(\sqrt{\frac{(0.0023 \times 750)}{(0.00345 \times 1.25)}}\)

• A. 15
• B. 20
• C. 40
• D. 75