Elective Mathematics

Question 1

1Expand (1 + x)³.

Easy

A. 1 + 3x + x³ B. 1 + 3x + 3x² + x³ C. 3 + 3x + x² D. 1 + x³

Question 2

2The constant term in (x + 1/x)⁴ is

Medium

A. 6 B. 12 C. 1 D. 4

Question 3

3How many terms are there in the expansion of (a + b)⁷?

Easy

A. 14 B. 8 C. 7 D. 6

Question 4

4Use the first two terms of the binomial expansion to estimate 1.02⁵.

Medium

A. 1.10 B. 1.20 C. 1.01 D. 1.02

Question 5

5What is the coefficient of the middle term in the expansion of (1 + x)⁶?

Easy

A. 20 B. 15 C. 6 D. 30

Question 6

6The middle term of (a + b)⁴ is

Easy

A. a²b² B. 6a²b² C. 4a³b D. 4ab³

Question 7

7The coefficient of x³ in (1 + 2x)⁴ is

Medium

A. 8 B. 16 C. 32 D. 4

Question 8

8Expand (1 + x)^(1/2) up to the term in x².

Hard

A. 1 + x/2 + x²/8 B. 1 − x/2 + x²/8 C. 1 + x + x²/2 D. 1 + x/2 − x²/8

Question 9

9Use the binomial theorem to find (0.98)⁴ to 3 decimal places.

Hard

A. 0.920 B. 0.902 C. 0.941 D. 0.922

Question 10

10If n(A) = 12, n(B) = 9 and n(A ∩ B) = 4, find n(A ∪ B).

Easy

A. 17 B. 13 C. 25 D. 21