BlogMathematicsQCAA Unit 4 General Maths IA3 – Short Answer Practice Questions

# QCAA Unit 4 General Maths IA3 – Short Answer Practice Questions

These simple familiar practice questions come with solutions too, so that you know if you’ve gotten the answers right or if there are areas you need to work on!

Let’s dive into the questions!

### Question 1 (3 marks)

Write the first three terms of a sequence defined by tn = 0.5tn-1. The first term is 1000.

### Question 2 (3 marks)

A sequence with a relation defined as tn+1 = 0.25tn, where t1 = 120. Find t3 and t5.

Eva invests $35000 and will earn compound interest per annum. Explain why a monthly compounding interest at 4.6% would be better than a weekly one at 0.25%. ### Question 8 (12 marks) Produce recurrence relations models for the following circumstances: (a)$3000 invested 4.3% p.a. compounding weekly. (2 marks)

(b) $6000 invested at 6.7% p.a. compounding monthly. (2 marks) (c)$8000 invested at 9.5% p.a. compounding quarterly. (2 marks)

(d) $1200 invested at 2.4% p.a. compounding monthly. (2 marks) (e)$2800 invested at 6.6% p.a. compounding quarterly. (2 marks)

### Question 13 (3 marks)

An arithmetic sequence has rule tn = 6 − 7n. Find t1 and the common difference d.

Write the first three terms of a sequence defined by tn = 0.5tn-1. The first term is 1000.

### Question 14 (16 marks)

Write down the first three terms of the geometric sequence in which:

(a) The fifth term is 81 and the eighth term is 2187. (4 marks)

(b) The second term is 10000 and the fifth term is 1250. (4 marks)

(c) The third term is 40 and the sixth term is −320. (4 marks)

(d) The second term is 160 and the fourth term is 250 (r > 0). (4 marks)

## QCAA Unit 4 General Maths Short Answer Practice Solutions

Interested to know how you’re doing with your IA marks for General Maths? Try out our QCE Cohort Comparison Tool to find out!

## On the hunt for other QCAA General Maths resources?

We’ve got you! Check out some of our other articles and practice questions below:

## Are you looking for some extra help with the QCAA Unit 4 General Maths Short Answer test?

#### We have an incredible team of QLD tutors and mentors!

We can help you master the General Maths syllabus and ace your upcoming General Maths assessments with personalised lessons conducted one-on-one in your home or online!

We’ve supported over 8,000 students over the last 11 years, and on average our students score mark improvements of over 20%!

To find out more and get started with an inspirational QLD tutor and mentor, get in touch today or give us a ring on 1300 267 888!

Vittorio Manessi is an Art of Smart tutor based in Queensland studying environmental science. He was one of the first Year 12 students to study under the new ATAR system in Queensland. He enjoys Maths, Science, English and Ancient History and is keen to share his knowledge of the QCE by making awesome resources.

## 45,861 students have a head start...

Get exclusive study content & advice from our team of experts delivered weekly to your inbox!