Elective Mathematics

Question 1

1The 3rd and 7th terms of an AP are 10 and 30. Find the sum of the first 10 terms.

Hard

A. 300 B. 225 C. 250 D. 200

Question 2

2The function f(x) = x² − 4x on the domain x ≥ 2 is

Hard

A. many-to-one B. not a function C. one-to-one D. constant

Question 3

3If f(x) = x² − 1, the range for x ∈ {0, 1, 2} is

Easy

A. {1, 2, 3} B. {−1, 1, 3} C. {0, 1, 2} D. {−1, 0, 3}

Question 4

4Find the sum of the first 10 terms of the geometric sequence 1, 2, 4, 8, …

Medium

A. 2,047 B. 512 C. 1,023 D. 1,024

Question 5

5If f(x) = 2x + 1 and g(x) = x², find g(f(1)).

Easy

A. 4 B. 9 C. 3 D. 5

Question 6

6The nth term of the AP 3, 7, 11, ... is

Easy

A. 3n + 4 B. 4n + 3 C. 4n − 1 D. n + 4

Question 7

7The 6th term of the GP 2, 6, 18, ... is

Easy

A. 1458 B. 162 C. 54 D. 486

Question 8

8The 1st, 2nd and 3rd terms of a GP are k − 2, k and k + 3. Find k.

Hard

A. 6 B. 2 C. 3 D. 4

Question 9

9f(x) = 2x + 1 and g(x) = (x − 1)/2. Show that f and g are

Hard

A. inverses of each other B. constant C. periodic D. equal

Question 10

10Find the inverse of f(x) = (x − 4)/2.

Easy

A. (x + 4)/2 B. 2x − 4 C. 2x + 4 D. x/2 − 4