Elective Mathematics

Question 1

1Find the sum to infinity of the GP 8, 4, 2, ...

Easy

A. 14 B. 16 C. 32 D. 8

Question 2

2Solve x² − 5x + 4 < 0.

Medium

A. x < 1 or x > 4 B. x > 4 C. −4 < x < −1 D. 1 < x < 4

Question 3

3Solve |x − 3| < 2.

Medium

A. 1 < x < 5 B. −5 < x < 5 C. x > 5 D. x < 1

Question 4

4Find the sum of all multiples of 3 between 1 and 100.

Hard

A. 1,683 B. 1,782 C. 1,500 D. 1,650

Question 5

5Find 1 + 2 + 3 + … + 100.

Easy

A. 5,050 B. 4,950 C. 10,100 D. 5,000

Question 6

6Solve x² − 5x + 6 < 0.

Medium

A. 2 < x < 3 B. x < 2 C. x > 3 D. x < 2 or x > 3

Question 7

7Solve (x − 1)/(x + 2) > 0.

Hard

A. x > 1 only B. x < −2 only C. −2 < x < 1 D. x < −2 or x > 1

Question 8

8The common ratio of the GP 27, 9, 3, ... is

Easy

A. 3 B. −1/3 C. −3 D. 1/3

Question 9

9Find the sum of the first 10 terms of the AP 2, 5, 8, ...

Easy

A. 29 B. 155 C. 160 D. 145

Question 10

10How many terms of the AP 3, 7, 11, ... are needed to give a sum of 210?

Medium

A. 12 B. 8 C. 15 D. 10