Question bank

TMUA-P1-MM2-001

Let $f(x) = 2x + 3$ and $g(x) = x^2$. What is the value of $f(g(2))$?

TMUA-P1-MM2-002

The arithmetic sequence $5, 9, 13, \dots$ continues. What is its 20th term?

TMUA-P1-MM2-003

What is the value of $1 + 2 + 3 + \dots + 50$?

TMUA-P1-MM2-004

The geometric sequence $3, 6, 12, \dots$ continues. What is its 8th term?

TMUA-P1-MM2-005

Evaluate $\binom{6}{2}$.

TMUA-P1-MM2-006

A sequence is defined by $u_1 = 5$ and $u_{n+1} = 2u_n - 3$. What is the value of $u_3$?

TMUA-P1-MM2-007

An arithmetic series has first term $2$ and common difference $5$. What is the sum of its first $20$ terms?

TMUA-P1-MM2-008

Evaluate $1 + 2 + 4 + \dots + 256$.

TMUA-P1-MM2-009

A geometric series has first term $18$ and common ratio $\frac{1}{3}$. What is its sum to infinity?

TMUA-P1-MM2-010

What is the coefficient of $x^2$ in the expansion of $(1 + 3x)^5$?

TMUA-P1-MM2-011

The sequence $2, 6, 12, 20, 30, \dots$ continues in the same pattern. What is its 8th term?

TMUA-P1-MM2-012

An arithmetic series has first term $7$ and common difference $4$. What is the smallest $n$ such that the sum of the fir…

TMUA-P1-MM2-013

The expansion of $(1 + 4x)^6$ begins $1 + 24x + cx^2 + \dots$. What is the value of $c$?

TMUA-P1-MM2-014

The sequence begins $3, 7, 11, 15, \ldots$ What is the next term?

TMUA-P1-MM2-015

Find $1 + 2 + \cdots + 20$.

TMUA-P1-MM2-016

The geometric sequence begins $3, 6, 12, \ldots$ What is the fourth term?

TMUA-P1-MM2-017

What is the coefficient of $x^2$ in the expansion of $(1+x)^4$?

TMUA-P1-MM2-018

Find $1 + 2 + 4 + 8 + 16$.

TMUA-P1-MM2-019

Find $16 + 8 + 4 + \cdots$ (sum to infinity).

TMUA-P1-MM2-020

What is the coefficient of $x^3$ in the expansion of $(2+x)^5$?