Given T = { even numbers from 1 to 12 } N = {common factors of 6, 8 and 12} Find T ∩ N

• A. {2, 3}
• B. {2, 3, 4}
• C. {3, 4, 6}
• D. {2}

The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.

• A. 19x - 17y
• B. 8x - 4y
• C. x - y
• D. 2x

The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). find the equation of the curve.

• A. y = x² + 7x + 9
• B. y = x² + 7x - 18
• C. y = x² + 7x + 18
• D. y = x² + 14x + 11

Using binomial expansion of ( 1 + x)\(^6\) = 1 + 6x + 15x\(^2\) + 20x\(^3\) + 6x\(^5\) + x)\(^6\), find, correct to three decimal places, the value of (1.998))\(^6\)

• A. 63.616
• B. 63.167
• C. 62.628
• D. 62.629

What is the n-th term of the sequence 2, 6, 12, 20...?

• A. 4n - 2
• B. 2(3^{n - 1})
• C. n² + n
• D. n² + 3n + 2

The following numbers represent at a set of scores for a class of 32 students, where the maximum score possible was 12, 6, 5, 9, 4, 4, 8, 7, 5, 6, 3, 2, 5, 4, 6, 9, 10, 4, 3, 2, 3, 4, 6, 8, 7, 4, 2, 1, 8, 7, 7, 6, 11. What is the percentage of the class, correct to the nearest whole number, scored above 6?

• A. 34%
• B. 35%
• C. 37%
• D. 38%

A man is 30 years older than his daughter. If the sum of their ages is 48 years, what is the daughter’s age?

• (a) 18 years
• (b) 9 years
• (c) 8 years
• (d) 12 years

A company took delivery of 12 vehicles made up of 7 buses and 5 saloon cars for two of its departments; Personnel and General Administration. If the Personnel department is to have at least 3 saloon cars, in how many ways can these vehicles be distributed equally between the departments?

• A. 350
• B. 455
• C. 462
• D. 571

If 3p = 4q and 9p = 8q - 12, find the value of pq.

• A. 12
• B. 7
• C. -7
• D. -12

If a rod 10cm in length was measured as 10.5cm, calculate the percentage error

• A. 5%
• B. 10%
• C. 8%
• D. 7%