Make t the subject of formula \(k = m\sqrt{\frac{t-p}{r}}\)

• A. \(\frac{rk^2 + p}{m^2}\)
• B. \(\frac{rk^2+pm^2}{m^2}\)
• C. \(\frac{rk^2-p}{m^2}\)
• D. \(\frac{rk^2-p^2}{m^2}\)

A man left town am at 10:00 AM and traveled by car to town N at an average speed of 72 km/h.

He spent 2hours for a meeting and returned through town M by bus at an average speed of 40KM/H.

If the distance covered by the bus was 2km longer than that of the car and he arrived at town M at 1 :55PM.

calculate distance from M to N.

p and q are two positive numbers such that p > 2q. Which one of the following statements is not true?

• A. -p< -2q
• B. -p > -2q
• C. -q< 2p
• D. q< 1/2p

Evaluate \(\frac{81.81+99.44}{20.09+36.16}\) correct to 3 significant figures

• A. 6.24
• B. 3.22
• C. 2.78
• D. 2.13

If f(x) = 4x\(^3\) + px\(^2\) + 7x - 23 is divided by (2x -5), the remainder is 7. find the value of p

• A. -7.0
• B. -8.0
• C. -9.6
• D. 9

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

Calculate the time taken for N3000 to earn N600 if invested at 8% simple interest

• A. 2¹/₂ years
• B. 3 years
• C. 3¹/₂ years
• D. 1¹/₂ years

The frequency distribution shows tha marks of 100 students in a Mathematics test.

(a) Draw cumulative frequency curve for the distribution .

(b) Use your curve to estimate : (i) the median ; (ii) the lower quartile ; (iii) the 60th percentile.

In terms of f, what is the mean of f?1,f+2,f?6,f?5, and f+15?

• A. f+5
• B. f+1
• C. f?1
• D. 2f?1

In the diagram PQR is a straight line and PS is a tangent to the circle< QRS with |PS| = |SR| and< SPR = 40°. Find PSQ

• A. 20^o
• B. 40^o
• C. 10^o
• D. 30^o