Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

• A. \(\frac{\pi}{2}\)
• B. \(\pi\) - 2
• C. \(\frac{\pi}{3}\)
• D. \(\pi\) + 2

For what value of x does 6 sin (2x - 25)^o attain its maximum value in the range 0^o \(\leq\) x \(\leq\) 180^o

• A. 12\(\frac{1}{2}\)
• B. 32\(\frac{1}{2}\)
• C. 57\(\frac{1}{2}\)
• D. 147\(\frac{1}{2}\)

find the equation of the curve which passes through by 6x - 5

• A. 6x² - 5x + 5
• B. 6x² + 5x + 5
• C. 3x² - 5x - 5
• D. 3x² - 5x + 3

A bag contains 16 red balls and 20 blue balls only. How many white balls must be added to the bag so that the probability of randomly picking a red ball is equal to 2/5

• A. 4
• B. 20
• C. 24
• D. 40

A market woman sells oil in cylindrical tins 10cm deep and 6cm in diameter at N15.00 each. If she bought a full cylindrical jug 18cm deep and 10cm in diameter for N50.00, how much did she make by selling all the oil?

• A. N62.50
• B. N35.00
• C. N31.00
• D. N25.00

If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number

• A. 19
• B. 18
• C. 13
• D. 12

Evaluate [\(\frac{1}{0.03}\) \(\div\) \(\frac{1}{0.024}\)]^-1 correct to 2 decimal places

• A. 3.76
• B. 1.25
• C. 0.94
• D. 0.75

Find the variance of the numbers k, k+1, k+2,

• A. 2/3
• B. 1
• C. k + 1
• D. (k + 1)²

The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is

• A. (\(\frac{3}{2}\), \(\frac{3}{2}\))
• B. (\(\frac{2}{3}\), \(\frac{3}{2}\))
• C. (\(\frac{3}{8}\), \(\frac{3}{2}\))
• D. (-\(\frac{3}{8}\), \(\frac{3}{2}\))

The bar chart shows the distribution of marks scored by 60 pupils in a test in which the maximum score was 10. If the pass mark was 5, what percentage of the pupils failed the test?

• A. 59.4%
• B. 50.0%
• C. 41.7%
• D. 25.0%